Calculus Archive: Questions from July 05, 2023
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2. Determine el área de la superficie generada al girar la curva dada alrededor del eje indicado. \[ x=\frac{1}{3} t^{3}, y=t+1, \quad 1 \leq t \leq 2 \quad \text { alrededor del eje " } y " \]2 answers -
13. If \( \left.y=(1+2 x) e^{-x}\right) \), show that \( \frac{d^{2} y}{d x^{2}}+2 \frac{d y}{d x}+y=0 \).2 answers -
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Substitute \( y=a+b t+c t^{2} \) into \( y^{\prime}+y=5+t^{2} \) to find a particular solution. \[ y= \]2 answers -
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Buscar |uxv| y determine si uxv se dirige a la página o fuera de la página. |u|=12 |v|=16 ángulo=1202 answers
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Halla las medidas de los ángulos del triángulo cuyos vértices son A = (-1,0), B = (2,1), C = (1,-2).2 answers
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Det \( z=f(x, y) \) (i) Suppose \( x=r \cos \theta, y=r \sin \theta \). (a) Show that \[ \left(\frac{\partial z}{\partial x}\right)^{2}+\left(\frac{\partial z}{\partial y}\right)^{2}=\left(\frac{\part2 answers -
Find all possible functions with the given derivatives. a. \( y^{\prime}=9 x^{8} \) b. \( y^{\prime}=9 x^{8}+2 \) c. \( y^{\prime}=10 x^{9}+9 x^{8}+2 \)2 answers -
Differentiate: f(x) = (x¹ + 8x)e eit (x² +8x + 4x³ +8) 3 (7x² + 8x) x (x² + 8x + 3x²¹ +8)x (7x² +8x) e² eª (x¹+8x+3x¹ + 8)
Differentiate: \[ f(x)=\left(x^{4}+8 x\right) e^{x} \] \( e^{x}\left(x^{4}+8 x+4 x^{3}+8\right) \) \( \left(7 x^{4}+8 x\right) x \) \( \left(x^{4}+8 x+3 x^{4}+8\right) x \) \( \left(7 x^{4}+8 x\right)2 answers -
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En los ejercicios 7 a 10, calcular a) \( \mathbf{u} \times \mathbf{v}, b) \mathbf{v} \times \mathbf{u} \) y \( c \) ) \( \mathbf{v} \times \mathbf{v} \) 7. \[ \begin{array}{l} \mathbf{u}=-2 \mathbf{i}2 answers -
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