Calculus Archive: Questions from January 23, 2023
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find derivative
\( y=f(x)=6 x^{2}+3 x+2 \) \( y=4 x^{3}+2 x \) \( y=(2 x+1)(3 x+5) \) \( Y=f(x)=\left(3 x^{2}\right)\left(x^{1 / 2}\right) \)2 answers -
evaluate indefinite integral need help por favor
\( \int_{0}^{\sqrt{\pi}} x \cos \left(x^{2}\right) d x \)2 answers -
2 answers
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c. Valor 30 pts. Determine las siguientes integral indefinidas o Antiderivadas: 1. \( \int x^{\frac{5}{3}}+x^{2} d x \) 2. \( \int 10 x^{8} d x \) 3. \( \int\left(40 x^{5}+15 x^{3}+10 x\right) d x \qu2 answers -
how to do get the answer
3. Exprese en coordenadas rectangulares el punto en cilindricas \( \left(4, \frac{5 \pi}{6}, 3\right) \) a. \( (2,2 \sqrt{3}, 3) \) b. \( (2 \sqrt{3},-2,3) \) c. \( (-2 \sqrt{3}, 2,3) \) d. \( (-2,2 \2 answers -
how to do get the answer
4. Exprese en coordenadas cilindricas el punto \( (-1, \sqrt{3}, 2) \) a. \( (2,5 \pi / 6,2) \) b. \( (2, \pi / 6,2) \) c. \( (2,2 \pi / 3,2) \) d. \( (2,-\pi / 6,2) \)2 answers -
Part of the surface \( x=z^{3} \), where \( 0 \leq x, y \leq 4^{-\frac{3}{2}} ; \quad f(x, y, z)=x \) \[ \iint_{S} f(x, y, z) d S= \]2 answers -
Calculate \( \iint_{S} f(x, y, z) d S \) For \[ y=8-z^{2}, \quad 0 \leq x, z \leq 9 ; \quad f(x, y, z)=z \] \[ \iint_{S} f(x, y, z) d S= \]2 answers -
Calculate \( \iint_{S} f(x, y, z) d S \) For \[ x^{2}+y^{2}=25, \quad 0 \leq z \leq 8 ; \quad f(x, y, z)=e^{-z} \] \[ \iint_{S} f(x, y, z) d S= \]2 answers -
Determine el irea de supertioie para \( f(x, y)=13+x^{2}-y^{2} \) so dre la regiin \( B=\left\{(x, y) ; x^{2}+y^{2} \leq 4\right\} \)2 answers -
1. Let \( a \) and \( b \) be nonzero parameters. Evaluate the following. (a) \( \frac{d}{d z}\left(e^{\sec (a z)} \sin (b z)\right) \) (b) \( \frac{d}{d t}\left(\frac{\cos ^{3}(b t)}{t^{2}}\right) \)2 answers -
Please do question 18 and 19 and show all work when possible
Exercises 11-24: Find the general solution. 11. \( t y^{\prime}+4 y=0 \) 12. \( y^{\prime}+(1+\sin t) y=0 \) 13. \( y^{\prime}-2(\cos 2 t) y=0 \) 14. \( \left(t^{2}+1\right) y^{\prime}+2 t y=0 \) 15.2 answers -
2 answers
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Please show all work and only do question 21
Find the general solution. 11. \( t y^{\prime}+4 y=0 \) 12. \( y^{\prime}+(1+\sin t) y=0 \) 13. \( y^{\prime}-2(\cos 2 t) y=0 \) 14. \( \left(t^{2}+1\right) y^{\prime}+2 t y=0 \) 15. \( \frac{y^{\prim2 answers -
22,25 plz asap
21-26 Find the volume of the solid that results when the region enclosed by the given curves is revolved about the \( y \)-axis. 21. \( x=\csc y, y=\pi / 4, y=3 \pi / 4, x=0 \) 22. \( y=x^{2}, x=y^{2}2 answers -
3.- Obtener la transformada de laplace de la siguiente función: Al definir la función por partes \[ f(t)=\frac{24}{a^{3}} t-\frac{24}{a^{2}} u\left[t-\frac{a}{2}\right]-\frac{24}{a^{3}}(t-a) u(t-a)2 answers -
2 answers
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1.- Obtener la transformada de laplace de la siguiente función: \[ f(t)=\left[\begin{array}{cc} \cos 2 \omega t \cos 3 \omega t & t \geq 0 \\ 0 & t2 answers -
2 answers
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Find the derivative of the function. \[ \begin{array}{c} y=\cos (\sqrt{\sin (\tan (9 x))}) \\ y^{\prime}=-\frac{9 \sec ^{2}(9 x) \cos (\tan (9 x)) \sin (\sqrt{\sin (\tan (9 x))})}{\sqrt[2]{\sin (\tan2 answers -
19. a. \( \lim _{x \rightarrow 0^{+}} \frac{|\sin x|}{\sin x} \) b. \( \lim _{x \rightarrow 0^{-}} \frac{|\sin x|}{\sin x} \) 46. a. \( \lim _{x \rightarrow 0^{+}} \frac{2}{x^{1 / 5}} \) b. \( \lim _{2 answers -
31. \( \lim _{x \rightarrow \infty} \frac{2 x^{5 / 3}-x^{1 / 3}+7}{x^{8 / 5}+3 x+\sqrt{x}} \) 19. a. \( \lim _{x \rightarrow 0^{+}} \frac{|\sin x|}{\sin x} \) b. \( \lim _{x \rightarrow 0^{-}} \frac{|2 answers -
31. \( \lim _{x \rightarrow \infty} \frac{2 x^{5 / 3}-x^{1 / 3}+7}{x^{8 / 5}+3 x+\sqrt{x}} \) 19. a. \( \lim _{x \rightarrow 0^{+}} \frac{|\sin x|}{\sin x} \) b. \( \lim _{x \rightarrow 0^{-}} \frac{|2 answers