Calculus 4 class please help ASAP due in 1 hour The centroid of the region where...
please help on these questions Question 4 > Find the centroid (y) of the triangle with vertices at (0,0), (2,0), and (0,9). Question Help: D Video Submit Question Question 5 < Find the centroid of the region bounded by the graphs of the functions 1 y= 2 sin(x), y = z , and = and touching the origin. 2' स The centroid is at (y) where IN 11 CI 11 Question Help: D video Submit Question
The solid S sits below the plane z = 2x + 5 and above the region in the xy-plane where 1 < x2 + y2 = 4 and x + y < 0. The volume of S is:
How to solve it? Let F =< -2, x, y2 >. Find S Ss curlF.nds, where S is the paraboloid z = x2 + y?, OSz54.
multivariable calculus please write clearly Prob. 3 (a) (10 points) Let f(x, y, z) = cos(x2) + xey2 – 2x²y?. Compute V.Of. (b) (10 points) Evaluate x² + y² + 2² <9, 220. 32 + y2 + z2 dV, where is the upper hemisphere
(1 point) Using polar coordinates, evaluate the integral ST sin(x2 + x>)dA where Ris the region 1 5x2 + y2 549. 1.080
Use spherical coordinates to calculate the triple integral of f(x, y, z) = y over the region x2 + y2 + z2 < 3, x, y, z < 0. (Use symbolic notation and fractions where needed.) S S lw y DV = help (fractions)
х Evaluate SS arctan arctandA, where the region bounded by x2 + y 21, x² + y2 <4 and O sysx. Select one: a. 16 b. 3л 16 c. 37 8 377 64 3712 32 e
Find the extreme values of 'f' on the region described by the inequality. 22. f (x, y) = 2x2 + 3y2 – 40 – 5, x2 + y2 < 16
Vector Calculus. Please show steps, explain, and do not use calculator. Thank you, will thumbs up! 3. In this problem, let S be the surface defined be the equations: x2 + y2 + z2 = 1 and x2 + y2 < 1/2 (a) (1 point) Find a parametrization of S 0: DR3 where DC R2 (Hint: use spherical coordinates). (b) (2 points) Use part (a) to find the area of S. (c) (1 point) Let F: R3 R3 be the...
2. Let R be the region R = {(X,Y)|X2 + y2 < 2} and let (X,Y) be a pair of random variables that is distributed uniformly on this region. That is fx,y(x, y) is constant in this region and 0 elsewhere. State the sample space and find the probability that the random variable x2 + y2 is less than 1, P[X2 +Y? < 1].