Calculus Archive: Questions from August 06, 2023
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33, 35, 37, 39 with steps please.
33. \( y=x^{e} \) 35. \( y=\left(2^{x}+1\right)^{\pi} \) 37. \( y=8^{x} \) 39. \( y=5 \cdot 4^{x} \) Practice Exercises 15-48. Derivatives Find the derivative of the following functions.2 answers -
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how do i get answer for a
(a) If \( V=\ln \left(u+v^{2}+w^{4}\right) \) compute \( \frac{\partial^{3} v}{\partial u \partial v \partial w} \). (b) If \( f(x, y)=\int_{y}^{x} \tan \left(1+t^{2}\right) d t \) compute \( f_{x}, f2 answers -
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Find the integral. \[ \int 8 \cos ^{4}(x) \mathrm{d} x \] \[ \frac{4 \sin ^{3}(x) \cos (x)+3 \sin (2 x)+6 x}{2}+C \] \[ \frac{4 \cos ^{3}(x) \sin (x)+3 \sin (x)+6 x}{16}+C \] \[ \frac{4 \sin ^{3}(x) \2 answers -
1. Coordenadas cilÃndricas Las coordenadas cilÃndricas se definen mediante las siguientes tres superficies: \[ \begin{array}{ll} \rho=\sqrt{x^{2}+y^{2}}=\text { cte } & 0 \leq \rho0 answers -
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Find y' if y= y' = - 13 √x
Find \( y^{\prime} \) if \( y=\frac{-13}{\sqrt{x}} \). \[ y^{\prime}= \]2 answers -
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Find the integral. Scos'xsin²x dx O a) - = sinx + = sinx+C 3 b) - sin³x + sin³x + C - 1 c) sinx-sin³x + C 1 d) sin³x - sin³x + C d)
Find the integral. \[ \int \cos ^{3} x \sin ^{2} x d x \] a) \( -\frac{1}{3} \sin x+\frac{1}{3} \sin ^{3} x+C \) b) \( -\frac{1}{3} \sin ^{3} x+\frac{1}{5} \sin ^{5} x+C \) C) \( \frac{1}{3} \sin x-\f2 answers -
Calculate \( \iint_{\mathcal{S}} f(x, y, z) d S \) For \[ y=6-z^{2}, \quad 0 \leq x, z \leq 9 ; \quad f(x, y, z)=z \] \( \iint_{\mathcal{S}} f(x, y, z) d S= \)0 answers