Calculus question and answers for January 14, 2024
- Q Let f x y z x y 2 and x s t y s t and z s t a Calculate the primary derivatives 3 4x y 2 dy af...
- Q 1 x 3 x 5 Determine if the point 2 25 is on the graph of the function f x x Is the point on the graph of f x...
- Q b Given two polar curves 3 cos and 2 3 sin such that 0 0 2r i Find the intersection point s ii Sketch and on the same diagram iii...
- Q Differentiate d dx y 6x 4 6x 4
- Q Use the Chain Rule to calculate the partial derivatives g x y cos x y x u 4v y u v 8g du 94 ag du Express your answer in...
- Q Differentiate y 24 3 x x 24 dx 3 x x
- Q Let f x 4 X a Find the derivative f x b Find f 2 a What is the first step in finding the derivative of f x O A...
- Q Consider the partial derivatives s there a function f which has these partial derivatives Yes If so what is it Enter none if there is no such function Are there...
- Q Find the equation of the tangent plane to the surface determined by at z 3 y 5 1 x y z 60 0
- Q Find the point on the graph of z 3x 3y at which vector n 12 18 1 is normal to the tangent plane P
- Q Use the linear approximation of x y e x 2y at 0 0 to estimate f 0 01 0 02
- Q 10 Domain none 4 5 7 7 4 5 4 5 5 X 5 S 10 4 The given curve is the graph of a function of x by the...
- Q If z sin and x ln u and y v find the following partial derivatives using the chain rule Enter your answers as functions of u and v z
- Q 8g Use the Chain Rule to evaluate the partial derivative at the point r 0 2 2 4 80 where g x y 3 8g 80 r 0 2 2...
- Q Find an equation of the tangent plane to the surface z 1x 3y 3x 3y 3 at the point 3 5 87 22 11
- Q Let f x y z x y z and x s t y s t and z s t a Calculate the primary derivatives of 32 dx 4x y dy...
- Q Find an equation of the tangent plane to the surface z 3y 5x at the point 3 1 42 2
- Q Find an equation of the tangent plane to the surface z 2 1x 3y 3x 3y 3 at the point 3 5 87
- Q Estimate f 2 01 1 97 given that f 2 2 2 fr 2 2 3 and fy 2 2 1 f 2 01 1 97
- Q Find the second partial derivatives of the function f x y x y 5x y a f x 1 2 3 4 8 f y x 8 f dxdy a...
- Q Find the equation of the tangent plane to at the point 0 2 11 2 z e y
- Q Calculate all four second order partial derivatives and check that fay fyr Assume the variables are restricted to a domain on which the function is defined f x y 4...
- Q Evaluate the function at the specified points h x y z xy 4 3 2 3 2 2 At 4 3 2 At 3 2 2
- Q Derive the formula for the volume of a right circular cone of height h and radius r using an appropriate solid of revolution The volume of the solid generated by...
- Q Calculate all four second order partial derivatives of f x y 3x y 7xy fax x y fry x y fyr x y fyy x y I 9 9
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