If the area above the \( x \)-axis bounded by the curves \( y=2^{k x} \) and \( x=0 \) and \( x=... VIDEO
If the area above the \( x \)-axis bounded by the curves \( y=2^{k x} \) and \( x=0 \) and \( x=2 \) is \( \frac{3}{\ln 2} \) then the value of \( k \) is:
(a) \( \frac{1}{2} \)
(b) 1
(c) -1
(d)
2
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-09 Let \( f:\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \rightarrow R \) be a continuous function su... 2023-06-09 Find the area in the first quadrant bounded by \( y=x^{2}, x=0 \), \( y=1 \) and \( y=4 \).
(a) ... 2023-06-09 Let \( f \) be a twice differentiable function on \( R \). If \( f^{\prime}(0)=4 \) and \( f(x)+... 2023-06-09 The area enclosed by the graph of \( \frac{|x|}{5}+\frac{|y|}{3}=1 \), is (a) 30 (b) 90 (c) 15 2023-06-09 Evaluate \( \int_{0}^{\pi} \frac{x \sin (2 x) \sin \left(\frac{\pi}{2} \cos x\right)}{2 x-\pi} d... 2023-06-09 The area of region \( \left\{(x, y) ; x^{2}+y^{2} \leq 1 \leq x+y\right\} \) is:
(a) \( \frac{\p... 2023-06-09 The area enclosed by curves \( y=\cos x, y=1+\sin 2 x \) and \( x=\frac{3 \pi}{2} \) as \( x \) ... 2023-06-09 Let \( f_{1}:(0, \infty) \rightarrow R \) and \( f_{2}:(0, \infty) \rightarrow R \) be defined b... 2023-06-09 Let \( f_{1}:(0, \infty) \rightarrow R \) and \( f_{2}:(0, \infty) \rightarrow R \) be defined b... 2023-06-09 Let \( f_{1}:(0, \infty) \rightarrow R \) and \( f_{2}:(0, \infty) \rightarrow R \) be defined b... 2023-06-09 If the area above the \( x \)-axis bounded by the curves \( y=2^{k x} \) and \( x=0 \) and \( x=... 2023-06-09 Let \( \operatorname{Max}_{0 \leq x \leq 2}\left\{\frac{9-x^{2}}{5-x}\right\}=\alpha \) and \( \... 2023-06-09 Evaluate \( \int_{0}^{1} \log [\sqrt{(1-x)}+\sqrt{(1+x)}] d x \). 2023-06-09 Let \( g i:\left[\frac{\pi}{8}, \frac{3 \pi}{8}\right] \rightarrow R, i=1,2 \) and \( f:\left[\f... 2023-06-09 Prove that \( \int_{a}^{b} \frac{d x}{\sqrt{x}}=2(\sqrt{b}-\sqrt{a}) \), where \( a, b0 \). usin... 2023-06-09 Let \( f \) be a differentiable function satisfying
\( f(x)=\frac{2}{\sqrt{3}} \int_{0}^{\sqrt{3... 2023-06-09 Let \( f(x)=\min \{[x-1],[x-2], \ldots,[x-10]\} \) where \( [t] \) denotes the greatest integer ... 2023-06-09 Evaluate \( \int_{0}^{1}(t x+1-x)^{n} d x \), where \( n \) is a positive integer and \( t \) is... 2023-06-09 If \( f(x)=\int_{0}^{2}\left(\sqrt{2 x}-\sqrt{2 x-x^{2}}\right) d x= \)
\[
\int_{0}^{2}\left(1-\... 2023-06-09 If \( n(2 n+1) \int_{0}^{1}\left(1-x^{n}\right)^{2 n} d x=1177 \int_{0}^{1}\left(1-x^{n}\right)^... 2023-06-09 If \( I_{1}=\int_{0}^{1}\left(1-\left(1-x^{3}\right)^{\sqrt{2}}\right)^{\sqrt{3}} x^{2} d x \) a...