# Recent questions tagged plane

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Solve  $\cos x \frac{d y}{d x}=1+y \sin x$ (where $\left.-\frac{\pi}{2}<x<\frac{\pi}{2}\right)$ explicitly.
Solve  $\cos x \frac{d y}{d x}=1+y \sin x$ (where $\left.-\frac{\pi}{2}<x<\frac{\pi}{2}\right)$ explicitly.Solve &nbsp;$\cos x \frac{d y}{d x}=1+y \sin x$ where $\left(-\frac{\pi}{2}&lt;x&lt;\frac{\pi}{2} \right)$ explicitly. ...
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A partial fraction decomposition of $\frac{x^{3}+3 x^{2}+4}{x\left(x^{2}+1\right)^{2}(x-1)}$ is of the form
A partial fraction decomposition of $\frac{x^{3}+3 x^{2}+4}{x\left(x^{2}+1\right)^{2}(x-1)}$ is of the formA partial fraction decomposition of $\frac{x^{3}+3 x^{2}+4}{x\left(x^{2}+1\right)^{2}(x-1)}$ is of the form A. $\quad \frac{A}{x^{2}+1}+\frac{B}{\lef ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the general explicit solution of the differential equation$y^{\prime}=\left(x^{2}+3\right)\left(y^{2}+1\right)$. 0 answers 121 views Find the general explicit solution of the differential equation$y^{\prime}=\left(x^{2}+3\right)\left(y^{2}+1\right)$.Find the general explicit solution of the differential equation$y^{\prime}=\left(x^{2}+3\right)\left(y^{2}+1\right)$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the particular solution of the differential equation$y^{\prime}=\left(x^{2}+4\right)\left(y^{2}+1\right)$which satisfices the initial condition$y(0)=1$. 0 answers 143 views Find the particular solution of the differential equation$y^{\prime}=\left(x^{2}+4\right)\left(y^{2}+1\right)$which satisfices the initial condition$y(0)=1$.Find the particular solution of the differential equation$y^{\prime}=\left(x^{2}+4\right)\left(y^{2}+1\right)$which satifies the initial condition$ ...
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What is the particular solution to $y(x+1)+y^{\prime}=0$ that satisfies $y(-2)=1 ?$
What is the particular solution to $y(x+1)+y^{\prime}=0$ that satisfies $y(-2)=1 ?$What is the particular solution to $y(x+1)+y^{\prime}=0$ that satisfies $y(-2)=1 ?$ ...
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How do you solve the differential equation $\frac{d y}{d x}=6 y^{2} x$, where $y(1)=\frac{1}{25}$ ?
How do you solve the differential equation $\frac{d y}{d x}=6 y^{2} x$, where $y(1)=\frac{1}{25}$ ?How do you solve the differential equation $\frac{d y}{d x}=6 y^{2} x$, where $y(1)=\frac{1}{25}$ ? ...
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Is $3-x^{-1}$ a polynomial?
Is $3-x^{-1}$ a polynomial?Is $3-x^{-1}$ a polynomial? ...
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If two lines in the cartesian plane are perpendicular, show that the angles they make with the positive $x$ axis can be written as $\alpha$ and $\frac{\pi}{2}+\alpha$ for some $\alpha$.If two lines in the cartesian plane are perpendicular, show that the angles they make with the positive $x$ axis can be written as $\alpha$ and $... close 0 answers 100 views The U.S. federal debt at the end of 2001 was \(\ 5.77$ trillion, and grew to $\ 6.20$ trillion by the end of 2002 . At the end of 2005 it was $\ 7.91$ trillion, and grew to $\ 8.45$ trillion by the end of $2006^{3}$.The U.S. federal debt at the end of 2001 was $\ 5.77$ trillion, and grew to $\ 6.20$ trillion by the end of 2002 . At the end of 2005 it was $\ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 A virtual image can be formed by one or more of the following single mirrors? Identify them. 1 answer 116 views A virtual image can be formed by one or more of the following single mirrors? Identify them.A virtual image can be formed by one or more of the following single mirrors? Identify them. w) plane mirror x) concave spherical mirror y) convex ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 How can we solve the equation \((4 z-4)^{2}-6=58$ ?
How can we solve the equation $(4 z-4)^{2}-6=58$ ?How can we solve the equation $(4 z-4)^{2}-6=58$ ? ...
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Find an equation of the line having slope $-3$ and containing $(3,-1)$.
Find an equation of the line having slope $-3$ and containing $(3,-1)$.Find an equation of the line having slope $-3$ and containing $(3,-1)$. ...
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Determine the equation of the circle with centre $(-2 ;-1)$ through the point $(5 ; 1)$.
Determine the equation of the circle with centre $(-2 ;-1)$ through the point $(5 ; 1)$.Determine the equation of the circle with centre $(-2 ;-1)$ through the point $(5 ; 1)$. ...
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Determine the equation of the circle with centre $(-3 ; 3)$ through the point $(5 ; 1)$.
Determine the equation of the circle with centre $(-3 ; 3)$ through the point $(5 ; 1)$.Determine the equation of the circle with centre $(-3 ; 3)$ through the point $(5 ; 1)$. ...
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Determine the equation of the circle with centre $(5 ;-3)$ through the point $(3 ; 2)$.
Determine the equation of the circle with centre $(5 ;-3)$ through the point $(3 ; 2)$.Determine the equation of the circle with centre $(5 ;-3)$ through the point $(3 ; 2)$. ...
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If $y=\log _{a} x$ passes through $(9 ;-2)$, determine the value of $a$.
If $y=\log _{a} x$ passes through $(9 ;-2)$, determine the value of $a$.If $y=\log _{a} x$ passes through $(9 ;-2)$, determine the value of $a$. ...
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If $y=\log _{5} x$, calculate the $x$-intercept.
If $y=\log _{5} x$, calculate the $x$-intercept.If $y=\log _{5} x$, calculate the $x$-intercept. ...
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If $y=\log _{a} x$ passes through $(5 ; 1)$, determine the value of $a$.
If $y=\log _{a} x$ passes through $(5 ; 1)$, determine the value of $a$.If $y=\log _{a} x$ passes through $(5 ; 1)$, determine the value of $a$. ...
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Determine the remainder by using the remainder theorem. $f(c)=3 c^{3}-6 c^{2}+3 c-4 ; g(c)=c+6$
Determine the remainder by using the remainder theorem. $f(c)=3 c^{3}-6 c^{2}+3 c-4 ; g(c)=c+6$Determine the remainder by using the remainder theorem. $f(c)=3 c^{3}-6 c^{2}+3 c-4 ; g(c)=c+6$ ...
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Determine the remainder by using the remainder theorem. $f(r)=-5 r^{3}+8 r^{2}-4 r-7 ; g(r)=r+3$
Determine the remainder by using the remainder theorem. $f(r)=-5 r^{3}+8 r^{2}-4 r-7 ; g(r)=r+3$Determine the remainder by using the remainder theorem. $f(r)=-5 r^{3}+8 r^{2}-4 r-7 ; g(r)=r+3$ ...
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Determine the arithmetic mean of 16 and $-2 .$
Determine the arithmetic mean of 16 and $-2 .$Determine the arithmetic mean of 16 and $-2 .$ ...
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Find the slope of the line going through $(-3,2)$ and $(-4,2)$
Find the slope of the line going through $(-3,2)$ and $(-4,2)$Find the slope of the line going through $(-3,2)$ and $(-4,2)$ ...
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What is the other name for Brewster's angle?
What is the other name for Brewster's angle?What is the other name for Brewster's angle? ...
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Suppose the position of an object at time $t$ is given by $f(t)=-49 t^{2} / 10+5 t+10 .$ Find a function giving the speed of the object at time $t .$
Suppose the position of an object at time $t$ is given by $f(t)=-49 t^{2} / 10+5 t+10 .$ Find a function giving the speed of the object at time $t .$Suppose the position of an object at time $t$ is given by $f(t)=-49 t^{2} / 10+5 t+10 .$ Find a function giving the speed of the object at time $t .$ ...
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Find the parametric representation of the line $L$ in $\mathbf{R}^{4}$ passing through the point $P(1,2,3,-4)$ and in the direction of $u=[5,6,-7,8]$. Also, find the point $Q$ on $L$ when $t=1$.Find the parametric representation of the line $L$ in $\mathbf{R}^{4}$ passing through the point $P(1,2,3,-4)$ and in the direction of $u=5,6,-7,8$. ...
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Find an equation of the hyperplane $H$ in $\mathbf{R}^{4}$ that passes through the point $P(1,3,-4,2)$ and is normal to the vector $u=[4,-2,5,6]$.
Find an equation of the hyperplane $H$ in $\mathbf{R}^{4}$ that passes through the point $P(1,3,-4,2)$ and is normal to the vector $u=[4,-2,5,6]$.Find an equation of the hyperplane $H$ in $\mathbf{R}^{4}$ that passes through the point $P(1,3,-4,2)$ and is normal to the vector $u=4,-2,5,6$. ...
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Solve the following equation in integers: $$3^{m}-2^{n}=1$$
Solve the following equation in integers: $$3^{m}-2^{n}=1$$Solve the following equation in integers: $$3^{m}-2^{n}=1$$ Definition: Modular Arithmetic means recycling of integers when they reach a fixed val ...
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Solve the following equation in integers: $$x^{3}=2 y^{3}+4 z^{3}$$
Solve the following equation in integers: $$x^{3}=2 y^{3}+4 z^{3}$$Solve the following equation in integers: $$x^{3}=2 y^{3}+4 z^{3}$$ ...
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Find the cosine of an angle that goes through the point $\left(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right)$.
Find the cosine of an angle that goes through the point $\left(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right)$.Find the cosine of an angle that goes through the point $\left(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right)$. ...
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Find the roots for the following pairs of equations. Verify the solution through substitution into both equations.
Find the roots for the following pairs of equations. Verify the solution through substitution into both equations.Find the roots for the following pairs of equations. Verify the solution through substitution into both equations. $$\begin{gathered} 3 \frac{4}{5} q ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Simplify the following equation into the format of \#_{z}=\# and find the root. Verify the solution through substitution. 0 answers 97 views Simplify the following equation into the format of \#_{z}=\# and find the root. Verify the solution through substitution.Simplify the following equation into the format of \#_{z}=\# and find the root. Verify the solution through substitution.$$ z\left(1+0.073 \times \ ...
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Suppose that the probability of being killed in a single flight is $p_{c}=\frac{1}{4 \times 10^{6}}$ based on available statistics.
Suppose that the probability of being killed in a single flight is $p_{c}=\frac{1}{4 \times 10^{6}}$ based on available statistics.Suppose that the probability of being killed in a single flight is $p_{c}=\frac{1}{4 \times 10^{6}}$ based on available statistics. Assume that differ ...
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$-\frac{3}{4}$ is a root of the equation $0=12 y^{2}-7 y+c$. Determine the value of $c$ and the other root.
$-\frac{3}{4}$ is a root of the equation $0=12 y^{2}-7 y+c$. Determine the value of $c$ and the other root.$-\frac{3}{4}$ is a root of the equation $0=12 y^{2}-7 y+c$. Determine the value of $c$ and the other root. ...
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Determıne an equation for the plane that passes through the point $(1,1,1)$ and is parallel to the plane $$x-3 y-2 z-4=0$$
Determıne an equation for the plane that passes through the point $(1,1,1)$ and is parallel to the plane $$x-3 y-2 z-4=0$$1. Determıne an equation for the plane that passes through the point $(1,1,1)$ and is parallel to the plane $$x-3 y-2 z-4=0$$ 2. Determine the volum ...
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What is the normal force exerted on the sphere by the inclined plane ?
What is the normal force exerted on the sphere by the inclined plane ? A uniform sphere of radius R and mass M is held at rest on an inclined plane of angle &amp;theta; by a horizontal string , as shown in the figure. L ...
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In which quadrant does the point (3, -4) lie in the coordinate plane?
In which quadrant does the point (3, -4) lie in the coordinate plane?In which quadrant does the point (3, -4) lie in the coordinate plane? ...
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Which square—large, medium, or small—covers more of the plane? Explain your reasoning.
Which square—large, medium, or small—covers more of the plane? Explain your reasoning. Which square&mdash;large, medium, or small&mdash;covers more of the plane? Explain your reasoning. &nbsp; ...
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A line $l_1$, has an equation $r=i-j-3k+\lambda (i+4j-k)$ and the line $l_2$, passes through the points $A(0;6;6)$ and$B(8;-6;-34)$
A line $l_1$, has an equation $r=i-j-3k+\lambda (i+4j-k)$ and the line $l_2$, passes through the points $A(0;6;6)$ and$B(8;-6;-34)$ A line $l_1$, has an equation $r=i-j-3k+\lambda (i+4j-k)$ and the line $l_2$, passes through the points $A(0;6;6)$ and$B(8;-6;-34)$ Find the v ...
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Explain what is the difference between Line, Point, Plane and Solid?
Explain what is the difference between Line, Point, Plane and Solid?Explain what is the difference between Line, Point, Plane and Solid? ...
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Find the curvature of $\vec r(t) = \langle 0, t^3, t^2\rangle$
Find the curvature of $\vec r(t) = \langle 0, t^3, t^2\rangle$Find the curvature of $\vec r(t) = \langle 0, t^3, t^2\rangle$ ...
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Find the plane that goes through the points $\left(3, 0, -4\right)$, $\left(-2, -2, 5\right)$, and $\left(-1, 8, -3\right)$.
Find the plane that goes through the points $\left(3, 0, -4\right)$, $\left(-2, -2, 5\right)$, and $\left(-1, 8, -3\right)$.Find the plane that goes through the points $\left(3, 0, -4\right)$, $\left(-2, -2, 5\right)$, and $\left(-1, 8, -3\right)$. ...
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Given the plane curve $\vec{r}(t) = \langle t-2, t^2 - 1 \rangle$\\ Sketch the position vector $\vec r (t)$ and the tangent vector $\vec r \ '(t)$ at $t = 1$
Given the plane curve $\vec{r}(t) = \langle t-2, t^2 - 1 \rangle$\\ Sketch the position vector $\vec r (t)$ and the tangent vector $\vec r \ '(t)$ at $t = 1$Given the plane curve $\vec{r}(t) = \langle t-2, t^2 - 1 \rangle$\\ Sketch the position vector $\vec r (t)$ and the tangent vector $\vec r \ '(t)$ at ...
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A paper airplane has an acceleration of 5 m/s2. If it is thrown from rest, how fast will it be going in 3 seconds?