3 L³ In a) the trapezoidal 1 In(t) dt, n = 10 rule X

Q: df 4) Evaluate at the given value of t dt f(x,y.=) =x +y +, x=2+t, y=+-1 ==t; t=-2

A: Given: fx,y,z=x2+y2+z2, x=2+t, y=-t-1, z=t; t=-2 For finding dfdt, first we find ft then…

Q: Let f (L, K ) = 32LK. Find df/dL.

A: Differentiate the function f with respect to L.

Q: Find the value of df-/dx at x = f(a). 26) f(x) = 4x2, x 2 0, a = 2 4) I 16 3 B) 32 C) 16 D)

A:

Q: Find the average squared distance between the origin and thepoints on the paraboloid z = 4 - x2 -…

A: Given: Paraboloid: z=4-x2-y2, z≥0 To find the Average squared distance.

Q: n (p hix ( %3D what is the dependent vaniable in

A: Solution

Q: Find the center of mass of a thin plate of constant density & covering the region bounded by the…

A: For center of mass of a region R with constant density k mass  of the region M=∫∫RkdA Moment about x…

Q: Evaluate e* dx dy by using trapezoidal and Simpson's rules.

A: Hello. Since your question has multiple parts, we will solve the first integral by first method for…

Q: Find y in terms of x. dy = x 2 + 5, curve passes through (0, 14) dx x3 A) y = + 5x 3 B y = x3 + 5x +…

A:

Q: N The sum of the squared errors is an overall measure of how much f(x) deviates from the data. Here,…

A: i) Here, the function that you have to fit the data in is, fx=ax2+b. Now, the sum of the squared…

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A:

Q: Find the extreme values (only maximum) of the function ix, v) = x +2y on the 2 %3D 2 +y" = 1. A. (0,…

A:

Q: integrate f over the given curve f(x,y)= x3/y     , C: y=x2/2 ,    0<= x <= 5

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  substitute x=t . the…

Q: Find the approximate change in z when the point (x, y) changes from (4, 9) to (3.98, 8.89). (Round…

A: To find the approximate change in z when the point (x, y) changes from (4, 9) to (3.98, 8.89).

Q: Let r(t) = (cost,sin t, ln(cost)).Find T, N, and B at (1, 0, 0).

A: Let rt=cos t, sin t, lncos t at 1,0,0 Find T, N and B. Tangent vector to the curve is denoted by…

Q: dx tan-를 (64 + x) +C 512(64 + x) 512 dx tan" (64 +x -C 1024 128(64 +x) tan + C 512(64 + x) -- (64 +…

A: Find your answer below

Q: The len for th function Y= Fcx), where f is arc Curye increasèng function, J Ise tio' de. Vst tio'…

A: The arc length of curve y = f(t) is given by: S(x)=∫0x 1+dydx2 dx

Q: What is the average rate of change for f(x) = 2X - 4 over the interval 2 sxs6? A) 8. 3) 10 15 18

A:

Q: What is the average rate of change for f(x) =-3X + 79 over the interval 2 SXS 4? 1) A) -124 B) -18…

A:

Q: Q.2 Find curlF at point (1,0,0) where f(x, y, z) = xe*y + y + 2

A:

Q: Find the displacement of an object on the interval 2 ≤ t ≤ 5 if its velocity is shown. V(Đ m 3 1 5 7…

A: Given: A graph of velocity-time.

Q: State the characteristics (type, order, degree) y y" - V1+ (y')² = 0

A:

Q: Find the si0pe of the given Function メト at メ= y' 1.) u= Vler*) at x = 2) 4= In(3メ-2) a+ x= こ %3D

A:

Q: trapezoidal and Simpson's rules.

A: Solve the given integral ∫02∫01ex+ydxdy by trapezoidal and Simpson's rule.