If F(x,y) = 3y. i+5x-j, find SF . •dr where Cis the straight-line path from (0,0) to (1,0), to (0,1) and back to (0,0). (A) 0 (B) 1 (C) 2 (D) 5 (E) 8

Q: The curve y + 22 = 25 is translated to a new position in the plane and the equation of the new curve…

A: Suppose y+x2=k is any function, where k is constant. Then, in the new translated function…

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + BỊ.

A:

Q: Find the point(s) on x=3-y² that are closest the point A=(1,0)

A: Our Aim is to find the points on x=3-y2 that are closest the point A=(1,0).

Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

Q: don't understand how the equation turned into 5x+x+6/x(x+6), could you go through the equation again…

A:

Q: F=(x-y², x²•y +3) at A-(1, 1), B=(2, –1) and C=(0,-2). %3D

A: The divergence of a vector field F = <P,Q> is defined as the partial derivative of P with…

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: 24 The line y = x - 10 intersects the curve x² + y² + 4x + 6y - 40 = 0 at the points A and B. Find…

A: Consider the given equation of curve, x2+y2+4x+6y-40=0 It is given that the line y=x-10 intersects…

Q: Evaluate A = F. dr where F(x, y) = (6x – 2y)i+x²j for each of the following curves. a) C is the line…

A:

Q: The temperature is T(x, y) = (x-1)² + y² degrees at any point (x, y) on a triangular metal plate…

A:

Q: Find Vƒ(P) and D7f(P). (a) f(r, y, 2) = yf + z² – 4xz; Ū = } i – $ j+ k; P(-2,1,3)

A:

Q: Q1: If w-f(z)=z'-z²+2z+2 find u and y and calculate the value of f at z-1-21. V.

A:

Q: Find the distance from the point (0,1,-1) to the line a(t) = (-2, 2, 4)t + (-6, - 1,5)

A:

Q: Q.2 Find DivF and curlF at point (1,2) , where f(x, y) = xy² + Inxy

A:

Q: + y = 2. What is y" at the point (1, 1)? y ² Suppose that x +

A:

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = -3x2y3 + x3y

A: Given that, fx,y=-3x2y3+x3y Then we get,…

Q: f(x) = xª -4 and Perpendicular to the line x - 4y + 1= 0.

A:

Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

A:

Q: Determine D,f (4,-1,6) for f(x,y,z) = ery + 4zx in the direction of (-3,2,6).

A: Given fx,y,z=ex2y+4zx3 in the direction of -3,2,6

Q: OJennifer Findley Write an approximate measure for each angle shown.

A: