A rectangle has one side on the positive \( \mathrm{y} \)-axis and one side on the positive \( \... VIDEO
A rectangle has one side on the positive \( \mathrm{y} \)-axis and one side on the positive \( \mathrm{x} \)-axis. The upper right hand vertex on the curve \( y=\frac{\ln x}{x^{2}} \). The maximum area of the rectangle is
(a) \( e^{-1} \)
(b) \( e^{-1 / 2} \)
(c) 1
(d) \( e^{1 / 2} \)
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-11 (1) Both statement I and II are correct
(2) Both statement I and II are incorrect
(3) Statement ... 2023-06-11 Select the incorrect statement w.r.t. MTP.
(1) MTPs are considered relatively safe during the fi... 2023-06-11 Select the incorrect statement w.r.t. oral contraceptive.
(1) Oral administration of small doses... 2023-06-11 (1) Both statement I and II are correct
(2) Both statement I and II are incorrect
(3) Statement ... 2023-06-11 If \( \mathrm{f}(\mathrm{x}) \) is continuous in \( [a, b] \) differentiable in \( (a, b) \) and... 2023-06-11 The product of minimum value of \( x^{x} \) and maximum value of \( \left(\frac{1}{x}\right)^{x}... 2023-06-11 The spin only magnetic moment value of an octahedral complex among \( \mathrm{CoCl}_{3} \cdot 4 ... 2023-06-11 A triangular park is enclosed on two sides by a fence and on the third side by a straight river ... 2023-06-11 \( f(x)=1+2 x^{2}+4 x^{4}+6 x^{6}+\ldots+2022 x^{2022} \) is polynomial in a real variable \( x ... 2023-06-11 The minimum value of the function defined by \( f(x)=\max \) \( (x, x+1,2-x) \) is
(a) 0
(b) \( ... 2023-06-11 A rectangle has one side on the positive \( \mathrm{y} \)-axis and one side on the positive \( \... 2023-06-11 A solid rectangular brick is to be made from 1 cubic feet of clay. The brick must be 3 times as ... 2023-06-11 A running track of \( 440 \mathrm{ft} \). is to be laid out enclosing a football field, the shap... 2023-06-11 Find the coordinates of the stationary points of \( y=2 x^{3}-15 x^{2} \) \( +24 x+8 \). Classif... 2023-06-11 There are 50 apple trees in an orchard. Each three produces 800 apples. For each additional tree... 2023-06-11 The sides of the rectangle of the greatest area, that can be inscribed in the ellipse \( x^{2}+2... 2023-06-11 For all \( a, b \in R \) the function \( f(x)=3 x^{4}-4 x^{3}+6 x^{2}+a x+b \) has
(a) No extrem... 2023-06-11 Total number of critical points of \( f(x)=\max \{\sin x, \cos x\} \forall \) \( x \in(-2 \pi, 2... 2023-06-11 Number of critical points of the function
\( f(x)=(x-2)^{\frac{2}{3}}(2 x+1) \) is equal to
(a) ... 2023-06-11 The critical points of the function \( f(x)=(x-2)^{2 / 3} \) \( (2 x+1) \) are
(a) 1 and 2
(b) 1... 2023-06-11 A maximum value of \( a \cos \theta+b \sin \theta \) is \( (a0, b0) \)
(a) \( a+b \)
(b) \( a-b ...