Suppose vector F represents a force (measured in pounds) and d represents the displacement of a particle (measured in feet). Which calculation below finds the work done by F to move a particle along d? O ||F x d|| OF+d O proją F OFx d OF d

Q: aF1 F. dr = -3 in D, use Green's Theorem to determine Jc, aF2 Referring to the figure, suppose that…

A:

Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

A:

Q: Find all values of x so that u · u = 50, where

A: Given u·u=x34.

Q: р T T F F F F 9 T T F F T F r T T F T Fill in all combinations of p, q, and r.

A: We are given truth table with missing truth values,So we have to fill the truth values for emty…

Q: Consider the function fG) =V2-x +8 for the domain (-oo,2). Find ft @) wwhere ft Is the inverse of…

A: Domain is set of elements where function is defined.

Q: ∇×F=?   -24xz is incorrect！

A:

Q: If Sc F · dr = Sc(x + 4y?) dæ + (x²y) dy, what is F?

A: Given ∫F→dr→=∫x+4y2dx+x2ydy

Q: ? Exercise 14.5.2 дz Az To calculate and for the following functions: Ju дv first calculate: Oz Ax…

A:

Q: Ir If z = f(x- y), then of df дх ду 1 -1 12 O 5

A: → Use chain rule of differentiation.             ∂(f(g(x)))∂x=∂(f(g(x)))∂(f(x))×∂(f(x))∂x→While…

Q: 2-x₂ B) AS²(2-1) √u du -1 1 3 -n cl /2-x dx= (2-u) √udu P

A: Given query is to find the integral after substitution.

Q: 4. Given differential equation y" + y = csc (t) a. Find the complimentary solution y, that solves…

A:

Q: Ex: If f(3) = 0, show that əz дz x- x² + y = Z. (H.W.) əx Əy

A: We have to prove the given statement.

Q: Find // VdA, + 1 R -dA, R= [0,3] × [−1,1]

A:

Q: FP Use the Fundamental Theorem of Calculus to evaluate: /2 13. xp x zJ55 9/u5

A:

Q: Evaluate – 3j + 4a – 6 + f' when j = 9, a = – 7, and f = 7. - Question Help: O Message instructor

A: We have to find out

Q: If F = ⟨F1, F2, F3⟩ what is div (curl(F))

A: F = ⟨F1, F2, F3⟩

Q: dx Evaluate

A: ∫0919+x2dx

Q: a) Evaluate ſ Fa 1 dx. Vx(1+vx)*

A: Let,