Calculus Archive: Questions from December 21, 2022
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2 answers
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help please
Use the gradient to find the directional derivative of the function at \( P \) in the direction of \( P Q \). \[ g(x, y, z)=x y e^{6 z}, \quad P(5,5,0), Q(0,0,0) \]2 answers -
Determine the angle of inclination of the tangent plane to the surface at the given point.
Parte II: Determine el angulo de inclinaciĆ³n del plano tangente a la superficie en el punto dado. 1. \( 3 x^{2}+2 y^{2}-z-15,(2,2,5) \) 2. \( 2 x y-z^{2},(2,2,2) \) 3. \( x^{2}+y^{2}-5,(2,1,3) \)2 answers -
2 answers
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\( f(x)=e^{3 x} \), then \( f^{\prime \prime \prime}(x)= \) \( e^{3 x} \) \( 9 e^{3 x} \) \( 27 e^{3 x} \) \( 27 e^{3 x-2} \) \( (3 x)(3 x-1)(3 x-2) e^{3 x-3} \)2 answers -
Find \( \iint_{R} f(x, y) d A \) where \( f(x, y)=x \) and \( R=[2,7] \times[3,4] \). \[ \iint_{R} f(x, y) d A= \]2 answers