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Recent questions tagged concave


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Does MathsGee have an image formation in concave and convex lenses simulation?
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What is the derivative of \(\sinh (x)\) with respect to \(x\) ?
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What is the general antiderivative of \(6 x^{2}+2 x+5 ?\)
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Find the general form for the following antiderivative: \(\int \frac{z}{z^{2}+9} d z\)
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The function $f(x)=\dfrac{x^{3}-6 x}{x^{2}-4}$ has ...
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The function $f(x)=\dfrac{x^{3}-6 x}{x^{2}-4}$ has ...The function $f(x)=\dfrac{x^{3}-6 x}{x^{2}-4}$ has   A. no point of inflection and is concave up on $(-\infty, \infty)$,   B. no point o ...
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asked in Mathematics Jan 13
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Evaluate the integral: $\int \dfrac{3 x+2}{\sqrt{4-3 x^{2}}} d x$
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Evaluate the integral: $\int \dfrac{3 x+2}{\sqrt{4-3 x^{2}}} d x$Evaluate the integral:   $\int \dfrac{3 x+2}{\sqrt{4-3 x^{2}}} d x$ ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Evaluate the integral: $\int_{0}^{\pi} 2 x \cos 2 x d x$
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Evaluate $\int \dfrac{\ln z}{(1+z)^{2}} d z$
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Evaluate the following integral: $\int \frac{t}{\sqrt{t^{4}-1}} d t$.
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Evaluate the following integral: $\int \frac{t}{\sqrt{t^{4}-1}} d t$. Evaluate the following integral: $\int \dfrac{t}{\sqrt{t^{4}-1}} d t$. Hint: You may use the fact that $\int \sec \theta d \theta=\ln |\sec ...
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asked in Mathematics Jan 13
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Evaluate the integral $\int_{1}^{2} \dfrac{2 s-2}{\sqrt{-s^{2}+2 s+3}} d s$
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Evaluate $\int_{-1}^{2} \dfrac{x}{\sqrt{10+2 x+x^{2}}} d x=$
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Evaluate $\int_{-1}^{2} \dfrac{x}{\sqrt{10+2 x+x^{2}}} d x=$Evaluate $\int_{-1}^{2} \dfrac{x}{\sqrt{10+2 x+x^{2}}} d x=$     A. $\quad 3(1-\sqrt{2})-\ln (1+\sqrt{2})$   B. $3(\sqrt{2}-1)-\ln ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Evaluate $\int_{0}^{\pi / 4} \sin 3 x \cos 5 x d x=$
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Evaluate $\int_{0}^{\pi / 4} \sin 3 x \cos 5 x d x=$Evaluate $\int_{0}^{\pi / 4} \sin 3 x \cos 5 x d x=$   A. $\frac{1}{2}$   B. $-\frac{1}{2}$   C. $\frac{1}{4}$   D. $-\fra ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Jan 13
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Evaluate $\int_{0}^{\infty} \frac{4}{x^{2}+2} d x=$
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Evaluate $\int_{0}^{\infty} \frac{4}{x^{2}+2} d x=$Evaluate $\int_{0}^{\infty} \frac{4}{x^{2}+2} d x=$   A. $-\frac{\pi}{\sqrt{2}}$   B. $\quad \sqrt{2} \pi$   C. $\frac{\pi}{\sqrt ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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What is the most suitable substitution to use to solve the integral $\int \frac{1}{\sqrt{t^{2}-81}} d t ?$
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What is the most suitable substitution to use to solve the integral $\int \frac{1}{\sqrt{t^{2}-81}} d t ?$What is the most suitable substitution to use to solve the integral $\int \frac{1}{\sqrt{t^{2}-81}} d t ?$   A) $t=9 \sec \theta$.   B) ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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The derivative with respect to $x$ of $\int_{\frac{\pi}{7}}^{x} e^{t^{2}} \operatorname{cosec}(t) d t$ is
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The derivative with respect to $x$ of $\int_{\frac{\pi}{7}}^{x} e^{t^{2}} \operatorname{cosec}(t) d t$ isThe derivative with respect to $x$ of $\int_{\frac{\pi}{7}}^{x} e^{t^{2}} \operatorname{cosec}(t) d t$ is   A) $e^{x^{2}} \operatorname{cosec}( ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Evaluate $\int_{0}^{2} \frac{3}{x^{2}-6 x+12} d x$
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Evaluate $\int \frac{x^{2}}{\sqrt{4-x^{2}}} d x$
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Evaluate $\int \frac{9-x^{2}}{x^{3}+9 x} d x$
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Evaluate $\int \frac{9-x^{2}}{x^{3}+9 x} d x$Evaluate $\int \frac{9-x^{2}}{x^{3}+9 x} d x$ ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Evaluate $\int \frac{d x}{x^{2} \sqrt{x^{2}-4}}$
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Evaluate $\int \frac{d x}{x^{2} \sqrt{x^{2}-4}}$Evaluate  $\int \frac{d x}{x^{2} \sqrt{x^{2}-4}}$ ...
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asked in Mathematics Jan 13
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A virtual image can be formed by one or more of the following single mirrors? Identify them.
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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 ...
by Digitized Wooden Status
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asked in Physics & Chemistry Oct 5, 2021
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The focal length of a concave spherical mirror is equal to 1 meter. What is the radius of curvature of this mirror?
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A converging thin lens has a focal length of 27 centimeters. An object is placed 9 centimeters from the lens. Where is the image of this object formed?

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The focal length of a concave mirror is 2 meters. An object is positioned 8 meters in front of the mirror. Where is the image of this object formed
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Show that the concavity of $h$ changes at $x=\frac{1}{2}$.
1 answer 98 views
Show that the concavity of $h$ changes at $x=\frac{1}{2}$. Given: $h(x)=-x^{3}+a x^{2}+b x$ and $g(x)=12 x . P$ and $Q(2 ; 10)$ are the turning points of $h$. The graph of $h$ passes through the origin. ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics May 14, 2021
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What's the difference between convex and concave lens?
1 answer 134 views
What's the difference between convex and concave lens?What's the difference between convex and concave lens? ...
by Student SIlver Status
(10,892 points)
asked in Physics & Chemistry Sep 5, 2020
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