Evaluate: 3 f(-x² + 4x-1)dx 1

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: Find the exact length of the polar curve. r = 0², 0≤ 0 ≤ 4π X

A:

Q: It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars…

A:

Q: 9. Estimate the value of the convergent series 8 k=1 (-1)^² k! + 2k with an absolute error less than…

A:

Q: 14) Find the first derivative of f(x) = 2*²2*

A:

Q: QUESTION 1 Find the absolute maximum and minimum values of the function in the given interval. Use…

A: This is a problem related to maxima and minima of the function. please follow the procedure given…

Q: Find a bound for the error in the approximation T20 to the given integral (but do not calculate…

A:

Q: Evaluate the following integrals [ (2x + 4)dx x2 – 5x +6

A: Given, ∫2x+4x2-5x+6dx

Q: Determine whether S is a basis for the indicated vector space. S = {(1, 0, 0, 2), (0, -1, 0, 2), (3,…

A:

Q: Σ k = 1 k k 4' 249

A:

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: To answer the given questions using the given graph. Note that, the range of the function is:…

Q: Using Midpoint Rule, with n = 10, approximate the integral below. Give the error of approximation π…

A:

Q: M8 3k Σ k=0 ³√/K³ +2 elect the correct choice below and fill in the answer box to complete your…

A: Given :∑k=0∞3kk3+23

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y" - 4y…

A:

Q: Determine if the geometric series converges or diverges. If a series converges, find its sum. 2 1 1…

A: Given the series, 18+182+183+184+185+........

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Solution is given below:

Q: (a) Find the derivative of f (x) = (x² + 2) (4x − 3) by first expanding the polynomials. Enter the…

A:

Q: Use the method of variation of parameters to determine the general solution of the given…

A:

Q: 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

A:

Q: Graph the function by using transformations of the graph of y= points on each side. m (x)= (x-3)² -1…

A:

Q: a) Determine the symmetric equations for the line through P(5, 6, 10) and parallel to the line with…

A: Given that the line passes through the point P(5,6,10) and parallel to the vector r= (6,1,1)+…

Q: Questions Identify the two regions that do not have a positive slope. What are they and what do they…

A: Given a distance time graph. To find the whether the slope of the graph is positive or negative. How…

Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

A:

Q: We assume that in a village there are farmers, carpenters, and tailors, who provide the three…

A:

Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

A:

Q: The indicated function y(x) is a solution of the given differential equation. xy"+y=0; y₁=In(x) Use…

A:

Q: ∞ Σ(-1)k+1 k=1 3 5k + k 3 2k + k +5 k Select the correct choice below and fill in the answer box…

A:

Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

A:

Q: Find the area of the surface generated when the indicated arc is revolved about the y -axis. 6. y =…

A:

Q: 4 Find a parametrization for the line segment with endpoints (-1,3) and (3,-2).

A: 4) To find the parametric equation of line segment with endpoints (-1,3) & (3,-2)

Q: 3 Evaluate: S(5x¹2x³ + 3x − 4)dx -

A:

Q: Find d²y/dx² implicitly in terms of x and y. 4xy 5 cos(x) = -9 d²y dx² || X

A:

Q: 16. Find the exact value of: π a) sin¹(tan(- =)) 3 √₂ 2 b) sin(cos-1(-

A:

Q: Find the solution of the given initial value problem: y(4) + 2y"+y = 3t + 4; y(0) = y′(0) = 0, y″(0)…

A:

Q: > In the following figures, solve for x. Complete parts (a) through (c) below. a. a. Solve for x.…

A:

Q: An aircraft is flying at 320 km/hr on a bearing of 70°. The wind is blowing at 40 km/hr from a…

A: An aircraft is flying at 320 km/hr on a bearing of 70°. The wind is blowing at 40 km/hr from a…

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

A:

Q: n = 10, approximate the integral S Give the error of approximation for each 2 cos xdr

A:

Q: / dw W8 W8

A:

Q: The derivative of a function of f at x is given by provided the limit exists. f'(x) = lim h→0…

A: We can use the given definition to find the derivative as below.

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: We have to find the slope of the tangent line to the polar curve  r = cosθ3 at the point θ=π.

Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 3).…

A:

Q: A charge to rent a saw per day or a fraction of a day Fixed Cost $5 variable cost $10 1 1/3 = 2…

A: We have to find the total cost for 113 days.

Q: The price (in $) of a cookbook is determined by the number of cookbooks x demanded by consumers and…

A:

Q: Evaluate using Reduction Formula 1. [ cos7x dx cos" x dx dx = = cos"-¹x sinx + -"-1 [cos"-²x 12 1…

A: ∫cos7x dx

Q: Let C(x) be the cost function of producing x numbers of cycles by a company. Which one of the…

A:

Q: 12. Determine the radius and interval of convergence of 8 k=1 (-1)kk²(x-4) k 3k

A:

Q: Determine the quadrant in which x lies if tan x 0. Οιν || 1 ||| x lies on an axis

A:

Q: 3. Solve the right triangle with one of the legs 15 and one of the acute angles 31º.

A:

Q: 1) Find the extrema and possible points of inflection (if any exist) of - In X X

A: