34. Which of the following is solvable directly by power rule of antiderivative? A. [xe"dx B. Ssin* xde C. fx+4)*dx D. fc2r+3)"dr С.

Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

A: Evaluation of the indefinite integral by substitution method

Q: Suppose y = (x + 1)5, and both a and y are functions of t. If. dy :1, find dt dx when x = = 1. |3D…

A: Given data:   The given function is y=(x+1)5. The first value given is dy/dt=1. The given value of x…

Q: d²y 54. Let y = 4r+2r+l_find CL)

A: To find the double derivative of below expression.

Q: 4. Compute , 3x – V1 – x² dx.

A:

Q: Determine the length of x = ¹³ (y − 1)³/² between 1 ≤ y ≤ 4.

A: Thank you 😊

Q: 8) Use the Trapezoidal Rule to evaluate V1+ x² dx;n = 3.

A:

Q: 6 uoi ion V 108r²y³ +xv/ 75y³

A: We have to simplify   √(108x2y3) + x√(75y3)

Q: Given F = (xyz², x²yz³, y²), find the following. (a). div (b). grad (divF) (c). curl (grad (divF))

A: We need to find the divergence of the field. F=xyz2, x2yz3, y2

Q: 33.) Show all steps to evaluate by hand: 4-х2 Vx2 + y2 dy dx

A: We have to evaluate the double integral using polar coordinates

Q: 41. For ), find all values ofx and y such thatx,y)=0 simultaneously. and yr.y)=0 f(x, y)…

A:

Q: Z eXZ 4. xyz dydx dz

A: Solution:

Q: xy Let z . Then: 4x2 – 5y? | az dz ду

A:

Q: 3 and v = 4. Evaluate 16u2v3 when u = - Write your answer as a simplified fraction or integer.

A: The given expression is: 16u2v3