Let Ē =< ax ) y In x> Calculate F. dr where r is the Straight line seg ment connecting (1,1) to (2,2)

Q: Graph the function. 10) y = sec (2x - )+ 2 A) B) 3n x 2 C) D) Зл х 2.

A: graph the function

Q: Let = (3, 4, 12) . Find the directional derivative of f(z, y, 2) =1– y² +32³ in the direction of v.

A: Consider the given function, fx,y,z=x-y2+3z3 and v=3,4,12 Now, find the derivative of the function…

Q: Draw the contour curves for h (x, y) _y²+x² -1+2x and c = 0, 2, 4.

A: If the graph of z=f(x,y) is sliced by a plane: z=c, then the two dimensional cross-section obtained…

Q: Find the x-coordinate on the graph of f (x) = x ³ – 12 x where the tangent is horizontal. A) 1,-1 B)…

A:

Q: Prove that the symmetric difference quotient is the average of the slopes of the secant lines from x…

A: To prove: Average value o the slope of secant line from x to x+h and from x-h to x is equal to the…

Q: Find the distance between the point (0, 4, -1) and the line defined by r(t) = +t

A:

Q: If f(x, y): X 2y + 1 use the definition to find af (x, y) ду

A:

Q: f"(x) = 6x is the value of If the slope of the tangent of the function y=f(x) at the point A(1,7) is…

A: The slope of the tangent of the function y = f(x) at the point A(1, 7) is 5 and what f''(x) = 6x is…

Q: Find a parameterization for a line passing through the points (1,1) and (5, 13) O x = t, y = 3t-2 O…

A:

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: Let Ax,y) = 5x + 5xy – 6y. Give the coordinates of a point on the graph of f at the point (3,6). O…

A:

Q: 3. Which function has a range of yS 3? Ax) -- +3 с. a.

A:

Q: Let a(t)-(1+t,t?,2+t?), then the equation of the tangent line at t-1 is: (2+t,-1+2t,3+2t)…

A: Here, a'(t)=(1,2t,2t)a'(1)=(1,2,2)anda(1)=(2,1,3)

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

A:

Q: Consider Flx,y) = (3x2 +6y) i t (6x +4y%)j. (as Show that Fis lonservative a function Such Line…

A:

Q: Use Linear Approximation to estimate the change, Az, in z = 8x2 + y? as (x, y) changes from (2, 3)…

A:

Q: 3. Which of the following represent linear function? a) 3x = 20-4y b) y-4 =0 c) x' +3y = -10 d) y =…

A: The function which can be expressed in the form of Y=aX+b is called as a linear function.

Q: 27. Determine whether each relation represents a function. a) {(4,9).(7,21).(10,21)} b)…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…