Let \( f \) be a twice differentiable function on \( R \). If \( f^{\prime}(0)=4 \) and \( f(x)+... VIDEO
Let \( f \) be a twice differentiable function on \( R \). If \( f^{\prime}(0)=4 \) and \( f(x)+\int_{0}^{x}(x-1) f^{\prime}(t) d t=\left(e^{2 x}+e^{-2 x}\right) \cos 2 x+\frac{2}{a} x \) then \( (2 a+1)^{5} a^{2} \) is equal tohttps://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-06-08 Which of the following halides will be most reactive in \( \mathrm{S}_{\mathrm{N}} 2 \) reaction... 2023-06-08 Which of the regents shown below would accomplish the following transformations?
(A)
(B)
(a) \( ... 2023-06-08 Which of the following compounds will give curdy precipitate with \( \mathrm{AgNO}_{3} \) soluti... 2023-06-08 Let \( \alpha=\sum_{k=1}^{\infty} \sin ^{2 k}\left(\frac{\pi}{6}\right) \)
Let \( g:[0,1] \right... 2023-06-08 A swimmer \( S \) is in the sea at a distance \( d \mathrm{~km} \) from the closest point \( A \... 2023-06-08 If \( f(x)=\frac{x^{2}-1}{x^{2}+1} \), for every real number \( x \), then the minimum value of ... 2023-06-08 The sum of the absolute minimum and the absolute maximum values of the function \( f(x)=\left|3 ... 2023-06-08 Let \( f(x)=\left|(x-1)\left(x^{2}-2 x-3\right)\right|+x-3, x \in R \). If \( m \) and \( M \) a... 2023-06-08 If the tangent to the curve \( y=x^{3}-x^{2}+x \) at the point \( (a, b) \) is also tangent to t... 2023-06-08 \( \stackrel{\mathrm{KCN}}{\longrightarrow}(\mathrm{X}) \)
(MOM bromide)
(Methoxy methyl bromide... 2023-06-08 Let \( f \) be a twice differentiable function on \( R \). If \( f^{\prime}(0)=4 \) and \( f(x)+... 2023-06-08 Which is the major product of the following reaction?
(a)
\( \underset{2 . \mathrm{NaOH} \text {... 2023-06-08 Show that \( 1+x \log \left(x+\sqrt{x^{2}+1}\right) \geq \sqrt{1+x^{2}} \forall x \geq 0 \) 2023-06-08 The sum of absolute maximum and absolute minimum values of the function \( f(x)=\left|2 x^{2}+3 ... 2023-06-08 If \( y(x)=\left(x^{x}\right)^{x}, x0 \) then \( \frac{d^{2} x}{d y^{2}}+20 \) at \( x=1 \) is e... 2023-06-08 If \( y=\tan ^{-1}\left(\sec x^{3}-\tan x^{3}\right) \cdot \frac{\pi}{2}x^{3}\frac{3 \pi}{2} \),... 2023-06-08 For the function \( f(x)=4 \log _{e}(x-1)-2 x^{2}+4 x+5, x1 \), which one of the following is NO... 2023-06-08 The slope of normal at any point \( (x, y) x0, y0 \) on the curve \( y=y(x) \) is given by \( \f... 2023-06-08 Let \( f: R \rightarrow R \) be defined as \( f(x)=x^{3}+x-5 \). If \( g(x) \) is a function suc... 2023-06-08 Let \( \lambda^{*} \) be the largest value of \( \lambda \) for which the function \( f_{\lambda... 2023-06-08 If \( \cos ^{-1}\left(\frac{y}{2}\right)=\log _{e}\left(\frac{x}{5}\right)^{5},|y|2 \), then
(a)...
0