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dy dr-x2-1 when y(0) = 0. a. Set up an integral for solving y(x) b. Evaluate...
dy a. Set up an integral for solving de 1 when y(0) = 0 22 - 25 y() = + t = b. Evaluate your answer to the previous part to find y(). y(2) = help (formulas) (1 point) Solve y" = sin(x) if y(O) = 0 and y'(0) = 9. y(I) help (formulas)
for b.
y= sin(x^2-3x+1)
og t par Set up, but do not evaluate, the integral required to compute the arc length of the curve cotr. y= 217from 0<x< /2. mense metied to compute Set up, but do not evaluate, the integral required to compute the surface area of the solid obtained by rotating the curve y=sin(x2 3x + 1), 0<x< 1 about the z-axis.
q2 please
(1) Evaluate the integral (r-1) min(a, y) dy dr, Jo Jo where min(x, y) is the minimum value of r and y. (2) Let f,g : R → R be functions of one variable such that f" and g" are continuous. Show that (f"(x)-g"(y)) dydx = f(0) + g(0)-f(2)-9(2) + 2f'(2) + 2g'(0). o Jo (3) Let a > 0. In spherical coordinates, a surface is defined by r = 2acos φ for 0 φ 1. Find the...
Set up (but do not evaluate) an integral to determine the arc length of the curve y = x2 from x = 0 to x = 2. 3 (12pt) TT TT Paragraph Arial %D9 ==== T TY TO ABC Evaluate the integral found in the previous question using Simpson's rule with n = 4. Round your answer to 4 decimal places
score: 0 of 1 pt X 15.1.6 Evaluate the iterated integral. || (x?y-9xy) dy dx S S (x+y=9xy) dy dx= [(Type an integer or a simplified fraction.) Homework: Section 15.1 Matt Score: 0 of 1 pt X 15.1.9 Evaluate the iterated integral. In 2 In 5 3x + 24 dy dx 0 1 In 2 In 5 3x + 2y dy dx = (Type an exact answer.) ints Homework: Section Score: 0 of 1 pt X 15.1.10 Evaluate the iterated...
Problem 5 [10 points] Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R: A R region bounded by y 0, y x, x 4 R 1+x2 a) [2 points] First order b) [2 points] Second order c) [6 points] Evaluate the integral using the more convenient order
Problem 5 [10 points] Set up integrals for both orders of integration. Use the more convenient order to evaluate the...
Set up and evaluate the double integral using polar coordinates f(x,y) = 8-y; R is the region enclosed by the circles with polar equations r=cos(theta) and r=3cos(theta). I am struggling with understanding how to determine the interval for theta. The answer key says 0<= theta <= pi but I don't understand why. Please elaborate on this when solving.
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z = t3,0 st 51. 2. Evaluate the line integral Scyz dx - xz dy + xy dz , C: x = e', y = e3t, z = e-4,0 st 51. 3. Evaluate SF. dr if F(x,y) = x?i + xyj and r(t) = 2 costi + 2 sin tj, 0 st St. 4. Determine whether F(x,y) = xi + yj is a conservative vector field....
5)Evaluate f (x2-y)dr + (y2 +x)dy along a) a straight line from (0.1) to (1,2), b) straight lines from (0,1) to (1,1) and then from (1,1) to (1,2), c) the parabola z t,y 1
Exam#2 Math185_GWC, Spring 2019 Lshells (for all parts a, b and e) to find the v -x2 + 1 , y-19-х", x-0, fix > 0 5) (16 points) Use the method of evlindrical shells (for all partis 19Xx the solid obtained by rotating the region bounded by y about on bounded byay -llparts y b and c to find (5 points) a. the y-axis. (Set up the integral to find the volume, but do not evaluate) (4 points) the line...