36 Use substitution to find the indefinite integral dx. (6x - 7) 36 dx = 7 (6x - 7)'

Q: Compute the given integral. ICOS Idz +C

A:

Q: 9. f(x) = (x² + 3x + 1)100 %3D

A:

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: a)Write an equation for a degree 3 polynomial that has zeros at x = -2, x = 1, and x = 4, as well as…

A: We are allowed to solve one question at a time. Kindly repost other problem in next questions. Thank…

Q: Consider the functions below. f(z) = VT – I g(z) = r² +1 Find each of the following, if possible.…

A: Given query is to find indicated composite function.

Q: Find T(t) and N(t) at the given point. r(t) = 5 cos(t)i + 5 sin(t)j + tk; t = T()= NG) II

A:

Q: 2. The region bounded by the given curves is rotated about the specified axis. Find the volume V of…

A:

Q: Suppose that f(x) = 2x-4 + 3x-2. Evaluate each of the following:

A:

Q: Find the equation of the tangent line to the curve y = 6 tan z at the point (, 6). The equation of…

A:

Q: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315…

A: We will use Numerical divided differences method to find the first derivative at x=2.

Q: (b) Determine the values of a and b that make f(x) continuous for all real x. x² – 4 x- 2 f(x) =…

A:

Q: Correct Consider the function f(x) = 3x - 9x on the interval [-4, 6]. Find the absolute extrema for…

A:

Q: [xe

A:

Q: Example 9 Video Example4) Evaluate the integral. In(x) dx Solution dx occurs in the integral. When x…

A: Given query is to find the value of the integral.

Q: Given f(z, y, z) = V31 – 4y + 6z, find fz(x, y, 2) = fy(x, y, z) = f:(1, y, z) = %3D

A: Given :f(x,y,x)=3x-4y+6z

Q: Find the inflection points of f(x) = 2x* + 11x³ – 9x² + 12.

A: For inflection points , f''(x) =0 .

Q: Solve the differential equation. Show your complete and clean solutions. 2 (x-y) dx + dy = 0

A: The given DE is: 2(x-y)dx+dy=0⇒dydx=-2(x-y)⇒dydx=-2x+2y⇒dydx-2y=-2x...(1)

Q: 51. y= 2x - 3x3

A:

Q: tan The integral -dx is equal to ONE of the following. (HINT: Use Maclaurin series) (-1)" ó 2"+'(2n+…

A:

Q: Calculate ri(t) - r2(t)] and r:(t) x r2(t)] first by differentiating dt the product directly and…

A:

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: The buyer for a retail store located in a shopping mall has convinced himself that if he prices…

A:

Q: Approximate the area under the curve 4=メ Right Endpoint from x=3 to メニの USing approximation with 6…

A:

Q: a. -25 -5 b. -40 3. с. 40 0 d. 25 13. A bug is moving with velocity v(t)=t - 6t +8 for t2 0. Find…

A:

Q: 5 Calculate the second and the third derivative of y = 6x – y": y"

A:

Q: Use long division of po

A:

Q: average rate of change

A:

Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

A:

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship…

A:

Q: 3 sin z If f(2) = then 2 + cos z f'(2) =| f'(5) -

A:

Q: Find the derivative of the function. 3 In (x +8) 5-5x O A. dy %3D dx (x + 8)(5 – 5x)? О в. dy 15 -…

A: Given query is to find the derivative of the expression.

Q: Find the exponential model y = ae bx that fits the points shown in the table. 3 y 6. 1.5 y = 2e°…

A: In the given problem we input the value of x and get the value of 'a' & 'b' with the help of…

Q: 4x* -1 +5x°+2x² 3 X+1

A: topic - long division of polynomials

Q: Find the first term and the common difference. 3 7 9. 2, - - 2' 4 ... 4 a, =], d=D %3D (Simplify…

A: Given query is to find the first term and common difference.

Q: ,00 is deposited in an account with an interest fate of 1200 ) ith respect tor when r is 10.00%. dA…

A: Given query is to find rate of change of amount with respect to r.

Q: Consider the following function. f(x) = -7x3 + 21x + 8 (a) Find the critical numbers of f. (Enter…

A:

Q: 4 E(-1)" sin n=1

A:

Q: Use the formula in a previous exercise to find the curvature. x = 3 + t2, y = 7 + t x(t) : %3D Need…

A:

Q: Use the One-to-One Property to solve the following equation for x. Sx-1 = 27 1 3 8

A:

Q: 10. f(x) = x² + x + %3D 1 x2

A: Derivate both side with respect to x

Q: dx .4

A: we have to find out the integral

Q: x* (x – 1)? (x + 2) (x² + 1)* Calculate the derivative by logarithmic differentiation: g(x)

A:

Q: Compute the given integral. +C

A:

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Non Exact Eguation (xy + 1) dx tx (* + 4y - 2) dy - 0

A:

Q: Find the flux of F across S, F.N dS where N is the upward unit normal vector to S. F(x, y, z) = xi +…

A:

Q: The volume of a right circular cone of radius a and height y is given by V 1 - TXʻy. Suppose that t…

A: We have to find out derivative

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t=0 T(0) = N(0)

A:

Q: Find the particular solution determined by the initial condition. ds 17t +7t-6, s(0)= 86 dt %3D The…

A: The given differential equation is ; ds/dt = 17t2+7t-6, s(0)=86

Q: A spring has a natural length of 30 cm. If a 27 N force is required to keep it stretched to a length…

A:

Q: (a) Evaluate the double integral.

A: answer is in next step