Question

Evaluate ∬ D ( x + y ) d A where D is the region defined...

Evaluate ∬ D ( x + y ) d A

where D is the region defined by the parabola y = -x2 + 4, y=0(x-axis) and x=0(y-axis)

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

At first we draw the integral region bounded by the curve and linens. Then evaluate the value of the double integral.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Evaluate the double integral of 5x3cos(y3) dA where D is the region bounded by y=2, y=(1/4)x2,...
Evaluate the double integral of 5x3cos(y3) dA where D is the region bounded by y=2, y=(1/4)x2, and the y-axis.
Evaluate ∬D15x2−6ydA where D is the region bounded by x=1/2y^2and x=4√y
Evaluate ∬D15x2−6ydA where D is the region bounded by x=1/2y^2and x=4√y
Evaluate ∫∫R(6xy+4)dA, ∫ ∫ R ( 6 x y + 4 ) d A , where...
Evaluate ∫∫R(6xy+4)dA, ∫ ∫ R ( 6 x y + 4 ) d A , where R R is the region bounded by y=x2 y = x 2 and y=x+2 y = x + 2 . (Round your answer to 2 decimal places)
evaluate the double integral where f(x,y) = 6x^3*y - 4y^2 and D is the region bounded...
evaluate the double integral where f(x,y) = 6x^3*y - 4y^2 and D is the region bounded by the curve y = -x^2 and the line x + y = -2
Evaluate the triple integral _ D sqrt(x^2+y^2+z^2) dV, where D is the solid region given by...
Evaluate the triple integral _ D sqrt(x^2+y^2+z^2) dV, where D is the solid region given by 1 (less than or equal to) x^2+y^2+z^2 (less than or equal to) 4.
Given that D is a region bounded by x = 0, y = 2x, and y...
Given that D is a region bounded by x = 0, y = 2x, and y = 2. Given: ∫ ∫ x y dA , where D is the region bounded by x = 0, y = 2x, and y = 2. D Set up iterated integrals (2 sets) for both orders of integration. Need not evaluate the Integrals. Hint: Draw a graph of the region D. Consider D as a Type 1 or Type 2 region. Extra credit problem
Let D be the solid region defined by D = {(x, y, z) ∈ R3; y^2...
Let D be the solid region defined by D = {(x, y, z) ∈ R3; y^2 + z^2 + x^2 <= 1}, and V be the vector field in R3 defined by: V(x, y, z) = (y^2z + 2z^2y)i + (x^3 − 5^z)j + (z^3 + z) k. 1. Find I = (Triple integral) (3z^2 + 1)dxdydz. 2. Calculate double integral V · ndS, where n is pointing outward the border surface of V .
A. For the region bounded by y = 4 − x2 and the x-axis, find the...
A. For the region bounded by y = 4 − x2 and the x-axis, find the volume of solid of revolution when the area is revolved about: (I) the x-axis, (ii) the y-axis, (iii) the line y = 4, (iv) the line 3x + 2y − 10 = 0. Use Second Theorem of Pappus. B. Locate the centroid of the area of the region bounded by y = 4 − x2 and the x-axis.
The average value of a function f(x, y, z) over a solid region E is defined...
The average value of a function f(x, y, z) over a solid region E is defined to be fave = 1 V(E) E f(x, y, z) dV where V(E) is the volume of E. For instance, if ρ is a density function, then ρave is the average density of E. Find the average value of the function f(x, y, z) = 5x2z + 5y2z over the region enclosed by the paraboloid z = 4 − x2 − y2 and the...
Evaluate the following integrals: a.) Find the area enclosed by y = (ln(x))/ (x^2) and y...
Evaluate the following integrals: a.) Find the area enclosed by y = (ln(x))/ (x^2) and y = (ln(x))^2/x2 ; b.) Find the volume of the solid formed by revolving the region under y = e^ 3x for 0 ≤ x ≤ 3 about the y -axis.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT