Compute f(x)dx 2x if x <1 4 if x>1 f(x)

Q: Find curl (5z i + 6x j + 2y k). curl (5z i + 6x j+ 2y k) = ( i )i + ( i )j + ( i )k Save for Later

A:

Q: Inx Evaluate the limit using L'Hospital's rule: Lima0 cosh

A:

Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). 3 r(t) = e"i+ etj 9ts K(t) ||

A:

Q: - In (e) - In7 Inlt 1. IN7(€ "-1) 2. In( e") 3.In(녹선) 4. In(글e) 1/-

A:

Q: 7. -4 3. ) dx - 3 10.

A: The given integral,         ∫e5xe2x7+3e3xdx

Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: Explanation of the answer is as follows

Q: Q Find the deriva tive using the de fini tion (x)

A:

Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

A:

Q: Hello, complete the attached Calculus question correctly and show all your work. Please use the…

A:

Q: Find the volume of the solid generated by revolving about the y- axis the region bounded by the…

A: Given problem:- Find the volume of the solid generated by revolving about the y- axis the region…

Q: Use a computer algebra system to approximate the iterated integral. (Round your answer to three…

A:

Q: (c) f''(x) = cos x, f(0) = 1, f'(0) = 2, f"(0) = 3.

A: Explained below

Q: The population P (in thousands) of Tallahassee, Florida, from 2000 through 2018 can be modeled by P…

A:

Q: d Find [r(t) · u(t)] and [r(t) x u(t)] in two different way dt dt r(t) = cos ti + sin tj + tk, u(t)…

A:

Q: Represent the plane curve by a vector-valued function

A:

Q: 3. 1- xZ dx

A: The integration of the integral is x4sqrt(1-x2), limit from 0 to 1.

Q: Question 7 Find the area of the region(s) enclosed by the curve f(x) = x³, the x-axis, and the lines…

A:

Q: Question 9 1 2 1 Evaluate the iterated integral. J, J. J. (x²+ y2 + z?) dx dy dz -1°0 0, А) 5 В) з 8…

A: The solution is given in the next step.

Q: es ring (free) e 365 pursEval 2- -6 -5 -4 -3 -2 -1 Write an equation for the function graphed above.…

A:

Q: Use spherical coordinates to find the volume of the solid. The solid enclosed by the sphere X + y +…

A: Here, to find the volume if the solid enclosed by: x2+y2+z2=4a2 The cartesian to spherical…

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A:

Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

A:

Q: 11. Calculate the directional derivative of the function f(, y, z) = xyz at the point a (-1,0,2) in…

A: See the answer below

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x3 - y3, P(4,…

A:

Q: 2. Prove that the p-series converges for p > 1.

A:

Q: Use the Babylonian's formula to calculate the circumference of a circle with diameter of 30 units.

A:

Q: Let f(x) = 9x* + nx² + e2x. Compute f((x). (Use symbolic notation and fractions where needed.) p)…

A:

Q: sin° xcos xdx x cos'

A: We will use substitution method to solve this definite integral.

Q: The Taylor series for cos(x) centered at a = 0 is given by: (-1)",2n (2n)! n=0 Using this result,…

A: Given problem:-

Q: Find the unit tangent vector to the curve at t r(t) = t°i + 3t?j, t= 2 T(2) =

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x3 - y³, P(4,…

A: Given :f=x3-y3

Q: Use double integration to find the volume of the solid. ... 3 3x + 2y + 4z = 12 А) 6 B) 9 12 15

A: Let's find.

Q: 1. E(n + -3 2 n=1

A:

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: This question can be solved using the concept of volume of solid of revolution.

Q: -6w + x + 3y + 6z = -6 -7w - x – 9y – 2z = -33 -4w – 9x + 8y + 9z = -94 -w – 6x – 10y + 9z = -202…

A:

Q: A spring has a natural length of 22in. A force of 16001b stretches the spring to 32 in. How far…

A: We will use rules of spring stretch to solve it.

Q: Find div F and curl F if F(x, y, z) = 7y°z*i – 11xz'j – 6xy°k. 5.7 div F= curl F=

A:

Q: In sketching the graph of y=f(x) = 2sin -5, we translate the graph of y=2sin by 5 units downward and…

A: To translate the given function.

Q: Jse a double integral to find the volume under the plane z = 38x + yand over the rectangle R = {(x,…

A:

Q: work shoWN. 1. Let v and w denote nonzero vectors. Show that the vector v- aw is orthogonal to w V.…

A:

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A:

Q: n-1 1. b) Determine whether the series is convergent or divergent. If it's convergent, 4" n=1 find…

A:

Q: Determine the volume of the solid obtained by rotating the region bounded by y=x^2-2 and y=x about…

A:

Q: Find V × (V × F) if F(x, y, z) = 4xyj+2xyz k. V × (V × F) :

A:

Q: Find fr(t) u(t)] and fr(t) x u(t)] in two different ways. r(t) = cos ti + sin tj + tk, u(t) = j + tk…

A: Vector

Q: Find V x (V × F) if F(x, y, z) = 4.xyj+2xyz k. ▼ × (V × F) = %3D

A: ∇×F=i^j^k^∂∂x∂∂y∂∂zPQR  for a vector F=Pi+Qj+Rk in terms of x,y,z

Q: Find V × (V × F) if F(x, y, z) = 9xyj+2xyz k. V x (V × F)

A:

Q: |r(t) × r"(t)|| Use the formula k(t) to find k(t). 13 r(t) = ei + etj 30 е4 K(t) : e-t (25 el2t + 1)

A:

Q: NC2)=

A:

Q: Find the area between the curve y=2 and the chord joining the points (0,1) and (2,4). O 0.5608 O…

A: