# Recent questions tagged axis

Find the orthogonal projections of the vectors $\mathbf{e}_{1}=(1,0)$ and $\mathbf{e}_{2}=(0,1)$ on the line $L$ that makes an angle $\theta$ with the positive $x$-axis in $R^{2}$.Find the orthogonal projections of the vectors $\mathbf{e}_{1}=(1,0)$ and $\mathbf{e}_{2}=(0,1)$ on the line $L$ that makes an angle $\theta$ with the ...
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Find the equation of the plane that contains the $z$-axis and the point $(3,1,2)$.
Find the equation of the plane that contains the $z$-axis and the point $(3,1,2)$.Find the equation of the plane that contains the $z$-axis and the point $(3,1,2)$. ...
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Using the substitution $x=v y$ or otherwise, find the general solution of the differential equation.
Using the substitution $x=v y$ or otherwise, find the general solution of the differential equation.Consider the differential equation $\frac{d x}{d y}=\frac{y^{2}+y^{2} e^{\left(\frac{x}{y}\right)^{2}}+2 x^{2} e^{\left(\frac{x}{y}\right)^{2}}}{2 x y ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the intercepts on the$x$- and$y$-axes (if any) for the function$f(x)=\frac{x^{2}-3}{x+2}$and discuss symmetry. 0 answers 4 views Find the intercepts on the$x$- and$y$-axes (if any) for the function$f(x)=\frac{x^{2}-3}{x+2}$and discuss symmetry.Find the intercepts on the$x$- and$y$-axes (if any) for the function$f(x)=\frac{x^{2}-3}{x+2}$and discuss symmetry. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the area of the largest rectangle that can be inscribed between the curve$y=12-x^{2}$and the$x$-axis. 0 answers 5 views Find the area of the largest rectangle that can be inscribed between the curve$y=12-x^{2}$and the$x$-axis.Find the area of the largest rectangle that can be inscribed between the curve$y=12-x^{2}$and the$x$-axis. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What are the coordinates of the point $D$ if $A(-3,1)$, $B(4$, $0), C(0,-3)$ and $D$ are corners of a square? 1 answer 12 views What are the coordinates of the point $D$ if $A(-3,1)$, $B(4$, $0), C(0,-3)$ and $D$ are corners of a square?What are the coordinates of the point $D$ if $A(-3,1)$, $B(4$, $0), C(0,-3)$ and $D$ are corners of a square? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is a good problem solving framework in mathematics? 1 answer 13 views What is a good problem solving framework in mathematics?What is a good problem solving framework in mathematics? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the values of the constants $a, b$ and $c$ such that $\mathrm{f}(x)=a(x+b)^{2}+c$ 1 answer 22 views Find the values of the constants $a, b$ and $c$ such that $\mathrm{f}(x)=a(x+b)^{2}+c$\ \mathrm{f}(x)=2 x^{2}+8 x+1 \ Find the values of the constants $a, b$ and $c$ such that \ \mathrm{f}(x)=a(x+b)^{2}+c \ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given that the minimum point of $\mathrm{C}$ has coordinates $(4,-3)$ find the values of $a$ and $b$. 1 answer 23 views Given that the minimum point of $\mathrm{C}$ has coordinates $(4,-3)$ find the values of $a$ and $b$.The curve $\mathrm{C}$ has the equation \ x^{2}+a x+b=0 \ Where $a$ and $b$ are constants Given that the minimum point of $\mathrm{C}$ has ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The equation of the graph of $\mathrm{g}$ is given by $g(x)=2^{x+1}-1$ Determine the $X$ and $Y$ Intercepts and draw the sketch of the graph 0 answers 36 views The equation of the graph of $\mathrm{g}$ is given by $g(x)=2^{x+1}-1$ Determine the $X$ and $Y$ Intercepts and draw the sketch of the graphThe equation of the graph of $\mathrm{g}$ is given by $g(x)=2^{x+1}-1$. Determine the $X$ and $Y$ Intercepts and draw the sketch of the graph. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given that $(5,2),(-4, k)$ and $(2,1)$ lie on a straight line, find the value of $k$. 1 answer 20 views Given that $(5,2),(-4, k)$ and $(2,1)$ lie on a straight line, find the value of $k$.Given that $(5,2),(-4, k)$ and $(2,1)$ lie on a straight line, find the value of $k$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If $f(x)=-4^{x}$, write down $g(x)$ the inverse of $f(x)$ and draw $f$ and $g$ on the same set of axis. 1 answer 74 views If $f(x)=-4^{x}$, write down $g(x)$ the inverse of $f(x)$ and draw $f$ and $g$ on the same set of axis.If $f(x)=-4^{x}$, write down $g(x)$ the inverse of $f(x)$ and draw $f$ and $g$ on the same set of axis. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If the graph of$y=-x^{2}+6 x-5$is reflected in the$x$-axis and the resulting graph is then reflected in the$y$-axis, the new equation is 0 answers 49 views If the graph of$y=-x^{2}+6 x-5$is reflected in the$x$-axis and the resulting graph is then reflected in the$y$-axis, the new equation isIf the graph of$y=-x^{2}+6 x-5$is reflected in the$x$-axis and the resulting graph is then reflected in the$y$-axis, the new equation is (A)$y ...
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The function $f$ defined by $y=f(x)=-x^{2}+6 x-5$ has
The function $f$ defined by $y=f(x)=-x^{2}+6 x-5$ hasThe function $f$ defined by $y=f(x)=-x^{2}+6 x-5$ has (A) A minimum $y$ value and a negative $y$ -intercept. (B) A maximum $y$ value and a positive $... close 1 answer 40 views A regression analysis between apples (y) and oranges (x) resulted in the following least-squares line:$\mathrm{y}=100+2 \mathrm{x}$. What is the implication if oranges are increased by$1 ?$A regression analysis between apples (y) and oranges (x) resulted in the following least-squares line:$\mathrm{y}=100+2 \mathrm{x}$. What is the impl ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If$1+3+5+\cdots+97+99$is subtracted from$2+4+6+\cdots+98+100$, the answer is 0 answers 68 views If$1+3+5+\cdots+97+99$is subtracted from$2+4+6+\cdots+98+100$, the answer isIf$1+3+5+\cdots+97+99$is subtracted from$2+4+6+\cdots+98+100$, the answer is ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The solution of the differential equation$\frac{d y}{d x}=\frac{x y}{x^{2}+y^{2}}$is 1 answer 47 views The solution of the differential equation$\frac{d y}{d x}=\frac{x y}{x^{2}+y^{2}}$isThe solution of the differential equation$\frac{d y}{d x}=\frac{x y}{x^{2}+y^{2}}$is ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that$2^{x+1}+3.2^{x}=5.2^{x}$1 answer 61 views Show that$2^{x+1}+3.2^{x}=5.2^{x}$Show that$2^{x+1}+3.2^{x}=5.2^{x}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If$\omega=\frac{z}{z-\frac{1}{3} i}$and$|\omega|=1$, then$\mathrm{z}$lies on 1 answer 51 views If$\omega=\frac{z}{z-\frac{1}{3} i}$and$|\omega|=1$, then$\mathrm{z}$lies on If$\omega=\frac{z}{z-\frac{1}{3} i}$and$|\omega|=1$, then$\mathrm{z}$lies on 1) an ellipse 2) a circle 3) a straight line 4) a parabola ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If$\left|z^{2}-1\right|=|z|^{2}+1$, then$z$lies on 1 answer 59 views If$\left|z^{2}-1\right|=|z|^{2}+1$, then$z$lies onIf$\left|z^{2}-1\right|=|z|^{2}+1$, then$z$lies on 1) the real axis 2) an ellipse 3) a circle 4) the imaginary axis. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The graph of the function$y=f(x)$is symmetrical about the line$x=2$, then 1 answer 55 views The graph of the function$y=f(x)$is symmetrical about the line$x=2$, thenThe graph of the function$y=f(x)$is symmetrical about the line$x=2$, then 1)$f(x+2)=f(x-2)$2)$f(2+x)=f(2-x)$3)$f(x)=f(-x)$4)$f(x)=-f(-x)$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve$0.5 x-12 x^{2}=0(a=-1.2, b=0.5, c=0)$1 answer 81 views Solve$0.5 x-12 x^{2}=0(a=-1.2, b=0.5, c=0)$Solve$0.5 x-12 x^{2}=0(a=-1.2, b=0.5, c=0)$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Suppose that the point$(1,4)$is on the graph of$y=f(x) .$Find a point on the graph when$y$is translated left 3 units and reflected across the$x$-axis. 0 answers 81 views Suppose that the point$(1,4)$is on the graph of$y=f(x) .$Find a point on the graph when$y$is translated left 3 units and reflected across the$x$-axis.Suppose that the point$(1,4)$is on the graph of$y=f(x) .$Find a point on the graph when$y$is translated left 3 units and reflected across the$x ...
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The graph of $g(x)=-2^{x}+8 \quad$ is sketched below. $A$ and $B$ are the $y$ - and $x$ -intercepts respectively of $g$.
The graph of $g(x)=-2^{x}+8 \quad$ is sketched below. $A$ and $B$ are the $y$ - and $x$ -intercepts respectively of $g$. The graph of $g(x)=-2^{x}+8 \quad$ is sketched below. $A$ and $B$ are the $y$ - and $x$ -intercepts respectively of $g$. Write down the r ...
The diagram below shows the hyperbola $g$ defined by $g(x)=\frac{2}{x+p}+q$ with the asymptotes $y=1$ and $x=-1$
The diagram below shows the hyperbola $g$ defined by $g(x)=\frac{2}{x+p}+q$ with the asymptotes $y=1$ and $x=-1$ The diagram below shows the hyperbola $g$ defined by $g(x)=\frac{2}{x+p}+q$&nbsp;with the asymptotes $y=1$ and $x=-1$. The graph of $g$ intersects t ...