 # Calculus Problems

## Transcribed Text

Evaluate the integral by making an appropriate change of variables. R cos(16x2 + 253²)dA, where R is the region in the first quadrant bounded by the ellipse 16x² + 25y² = 1. (1-cos(1)) 80 (1-sin(1)) IT 400 sin(1)% 80 sin(1)7 40 Evaluate - dy, where C is the curve y = e2r from (0,1) to (2,e4). 1/(44-1). - e((et-e). 3(e4-1). el(ete - 22). Let F(x,y,z) be the gradient vector field = C be the curve of the intersection of the plane y + Z = 2 and the cylinder x2 + y2 = 1, oriented counterclockwise, evaluate Sc F dr. n None of the above. -T

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