Please help. What is meant by sketching the region of integration and reversing the order of integration and than evaluating the integral? How do you know how to sketch it?
Thank you so much for your help
Please help. What is meant by sketching the region of integration and reversing the order of...
The following integral can be evaluated only by reversing the order of integration. Sketch the region of integration, reverse the order of integration: and evaluate the integral. Integrate 4 0 Integrate 2 root x (x^2/y^7+1) dy dx Choose the correct sketch of the region below. The reversed order of integration is integrate integrate (x^2/y^7+1) dx dy. The value of the integral is .
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =
6. (4 pts) Consider the double
integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a)
Sketch the region of integration R in Figure 3.(b) By completing
the limits and integrand, set up (without evaluating) the integral
in polar coordinates.
2 1 2 X -2 FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider the double integral V2 2-y2 (2? + y) dA= (32 + y) dx dy + (x2 + y) dx dy. 2-y? (a) ketch the region of integration R in Figure 3. (b) By completing...
6. (4 pts) Consider the
double
integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a)
Sketch the region of integration R in Figure 3.(b) By completing
the limits and integrand, set up (without evaluating) the integral
in polar coordinates.∫R(x2+y)dA=∫∫drdθ.7. (5 pts) By completing the
limits and integrand, set up (without evaluating) an iterated
inte-gral which represents the volume of the ice cream cone bounded
by the cone z=√x2+y2andthe hemisphere z=√8−x2−y2using(a) Cartesian
coordinates.volume =∫∫∫dz dxdy.(b) polar coordinates.volume
=∫∫drdθ.
-1 -2 FIGURE 3. Figure for Problem 6. 6. (4 pts)...
6. (4 pts) Consider the
double
integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a)
Sketch the region of integrationRin Figure 3.(b) By completing the
limits and integrand, set up (without evaluating) the integral in
polar coordinates.
-1 -2 FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider the double integral V2 /2-y² + = (x2 + y) dx dy + + y) do dy. 2-y2 (a) Sketch the region of integration R in Figure 3. (b) By completing the limits and integrand, set up (without evaluating)...
1 -1 O 1 2 x FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider the double integral 2 Spa (22 + y)da = [ L. (x2 + y) dx dy + √2-y² (x2 + y) dx dy. (a) Sketch the region of integration R in Figure 3. (b) By completing the limits and integrand, set up (without evaluating) the integral in polar coordinates. Sep (+2 +y)dA = dr do.
The
answer is already there Please show WORK thank you
16) Sketch the region of integration and evaluate by changing to 2x-x 1 2-In(1+ 2) polar coordinates. dy dx
16) Sketch the region of integration and evaluate by changing to 2x-x 1 2-In(1+ 2) polar coordinates. dy dx
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Reverse the order of integration in the inte gral S 1 = [f(x, y) dy da, Jo J2/2 but make no attempt to evaluate either inte- gral. 7: Setting up and evaluating double integ Find the volume of the solid lying under the circular paraboloid 2 = x2 + y2 and above the rectangle R= (-5,5] x [-1, 1).
Evaluate the following integrals. Please check the function to be integrated and the order of integration carefully! [6 points each] grals. Please check the function to be integrated and the order of a.) 5° L. (204 – 3) dy do b.) 1/3 2/6 sin(x + y) dx dy Jo Jo ) DA R: 1 < x < 3; 1 <y <4 JR
Please show full solutions so i can understand
3. (i) 3pl Set up iterated integrals for both orders of integration forev dA, where D is the region in the ry-plane bounded by y -,4, and z-0 (ii) [3p] Evaluate the double integral in part (i) of this question using the easier order of integration. (ii) [3pl Find the average of the function f(, y) yey over the region D.
3. (i) 3pl Set up iterated integrals for both orders of...