Calculus question and answers for August 24, 2023
- Q Write In a b 4 ln a b 5 ln c numbers In single logarithm Assume all arguments represent positive syntax error
- Q Evaluate the radical expression and express the result in the form a bi Simplify your answer completely 8 7 1 1 8 5 8 5
- Q x x 2 x 1 a Find the following limits If an answer does not exist enter DNE Let g x i ii lim g x 1 1 lim g...
- Q Evaluate the power and write the result in the form a bi Simplify your answer completely 51 4
- Q In traveling across flat land you notice a mountain directly in front of you Its angle of elevation to the peak is 3 5 After yo drive x 13 miles...
- Q 12 51 A car starts from rest and travels along a straight road with a velocity described by the graph Determine the total distance traveled until the car stops Construct...
- Q 1 point Find the surface area of the region S on the plane z 2x 5y such that 0 x 30 and 0 y 5 by finding a parameterization of...
- Q Find the domain of the function f x 4 X 9 The domain is 0
- Q Calculate f x y z dS For Is f x y z ds y 3 z 0 x z 9 f x y z z
- Q Compute the surface integral over the given oriented surface F y i 2j xk JF ds portion of the plane x y z 1 in the octant x y z...
- Q Calculate f x y z dS For Is f x y z dS x y 25 0 z 7 f x y z ez
- Q 1 point For the surface with parametric equations r s t st s t s t find the equation of the tangent plane at 2 3 1 Find the surface...
- Q 1 point Consider the cone shown below If the height of the cone is 6 and the base radius is 3 write a parameterization of the cone in terms of...
- Q 1 point Parameterize the plane through the point 1 5 1 with the normal vector 5 4 4 7 s t Uses and t for the parameters in your parameterization...
- Q 1 point Find parametric equations for the sphere centered at the origin and with radius 5 Use the parameters s and t in your answer x s t y s...
- Q 1 point Compute the curl of the vector field F 2y 7 sin x cos z k curl
- Q 7 Consider the addition of 15 4 to 28 What would a mathematician say the answer is What would a scientist say Justify the scientist s answer not merely citing...
- Q Evaluate I sin x 9y dx 5x y dy for the nonclosed path ABCD in the figure I D C B A 0 0 B 4 4 C 4 8...
- Q 1 point Let F x y 2Q A Compute dx B Compute Note Your answer should be an expression of x and y e g 3xy y ap dy yi...
- Q ne integral x z ds where C is the line segment from 0 1 2 to 6 3 4
- Q Compute the line integral of the scalar function f x y z 2x 8z over the curve c t e t t 0 t 9 Sc f x y z...
- Q egral 3xy2 ds where C is the right half of the circle x y 25 3xy
- Q Use cylindrical coordinates to calculate f x y z dV for the given function and region f x y z z x y z 36 Jw f x y z...
- Q Consider the function defined by f x x bx cx d a Find f x using first principles b The graph off has a local maximum and a local minimum...
- Q Given f x f x 4x 13 9x 7 findf x
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