15. Verify Stokes' Theorem for the vector field F = 2xyi + xj + (y+z)k and the surface z = 4x² - y², z ≥ 0, oriented with normal n pointing upward. (To verify, show that both the line integral and the double integral yield the same result)

Q: 5. Ф(41) Answer: Show your work or explain your reasoning here:

A: We want to calculate ϕ(41)

Q: 4. 10p-p-2

A: The given expression is : 10p2-p-2 To factorize the given expression.

Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

Q: 7. Use your graph to estimate how the scale factor changes between a box with volume of 1 cubic foot…

A:

Q: 2) Use linearization to approximate the value of 7.99 +(7.99)².

A:

Q: Ч__3x т х-5 X2-4

A: Given,             4x-5+3xx2-4

Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

A:

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y>-x2-22x-y ≥-3

Q: (b) Give an orthogonal basis for Span {X₁, X₂, X3}.

A:

Q: .2 y = 4 - x² and x +y = 2.

A:

Q: 1 5. What is equivalent to 81

A:

Q: Simplify. 7/16-V54

A:

Q: 12. Sx-7 4x-1

A:

Q: 2. tox²Sc.

A:

Q: 7.2-2

A: Given:   x y 644 623 493 472 532 492 462 661 565 540   502   549   518

Q: 214 8.

A:

Q: 2. Factor x from ax + bx

A: We have to factor x from ax+bx.

Q: 5x + 8 = 78

A: We Solve the Equation, Find The value of x.  Given Equation is 5x+8= 78.

Q: 2. Ꮖ2 ds Ꮭ Ꮖ1 Ꮖ

A: The integral is: ∫x1x2dsx. To Do: We have to evaluate this integral.

Q: 1 (-7)2 dx r(x-7)2 6.

A: Given,  ∫1xx-72dx

Q: L, V4 – x²dx.

A:

Q: 18. If the number of healthy fish f varies as the amount a of food available, how many fish would be…

A:

Q: 7.compute:2.7 H +H.15 -91 195/

A: