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Evaluate the line integral ∫Cx2zds, where C is the line segment from (0,3,1) to (8,7,6). I managed to calculate but it was wrong.
Given the triple integrals∫∫∫E √x²+y² dvWhere E is the region that lies inside the cylinder x²+y²=16 and between planes z=-5 and z=4Evaluate the triple integrals using any suitable coordinate system for the boundary condition
I cannot figure this problem out, if you could show all the steps that would be great.
A. Show that the differential forms in the integrals are exact. B. Then evaluate the integrals. (0,1) (3x - y + + 1) dx + (-x - 2y + 2) dy
Characterize the below integrals (definite or indefinite) and solve the integrals: a. (-10x5 + 3x2 - 5x)dx b. S(-8Vx)dx C. SCEx _17) ax d. S(12e* - 9 sin x + 5x-2)dx 5 (6********=)dx
Characterize the below integrals (definite or indefinite) and solve the integrals: a. (5x2 + 7x4 + 50) dx b. f (6e* - 7cos x + 14)dx c. Si (-5sinx + 3) dx
Let f(x)=14pix^2 and g(x)=k^2 sin(pix/2k) for k>0. a. Find the average value of f on [1,4]. b. For what value of k will the average value of g on [0,k] be equalto the average value of f on [1,4]?
A two-day environmental clean up started at 9AM on the first day. The number of workers fluctuated as shown in the following figure.Suppose that the workers were paid 20 dollars per hour for work during the time period 9 am to 5 pm and were paid 30 dollars per hour for work during the rest of theday. What would the total personnel costs of the clean up have been under these conditions?total cost = __________dollars
Characterize the below integrals (definite or indefinite) and solve the integrals: a. S(-10x5 + 3x2 - 5x)dx b. S(-8VxG)dx c. 5 (3x6 - 11) dx d. S(12e* - 9 sin x + 5x-2)dx e. ; (*********=-)dx