The following functions are inverses of each other. f(x) = 3 x3 + 8 and g(x) = True O False 8

Q: U.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the…

A: Given: N(t) = 385.4741+2.521e-0.214t for (0 ≤ t ≤ 10) , where N(t) is measured in millions and t is…

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A: Given : r(t)=5t2,4t2   To Find : 1) Velocity 2) Acceleration

Q: Find + 12 10 .12 [9f(x) = g(x)]dx if [9f(x) = g(x)]dx = i 12 [2² 10 f(x)dx = 9 and 12 10 g(x)dx = 8.

A: integration

Q: 1. Practice similar Help me with this Determine whether the integral is divergent or convergent. If…

A: We have to consider the given improper integral is divergent or convergent according to the given…

Q: Evaluate the integral using partial fraction method (x² + 5) (x² + 1) (x − 9) (x − 8) - J dx

A: Given integral:- ∫x2+5x2+1x-9x-8dx

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Q: Consider the following. u = (2,−1,0) v = (-2, 7, 0) Find u x v. Determine if u x v is orthogonal to…

A: Given vectors: u=<2,-1,0> v=<-2,7,0>   The first vector can be written as, u=2i-1j+30…

Q: Find dy dx dy dx = for y= x³ √9 – x³ شرح

A: Given y=x39-x3

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (3z-2x³-2y²-2) b.…

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Q: For the function h(x,y) = 3x + y xy-6 əh find and ax dh ду

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Q: Match the graphs below with the following descriptions by indicating the graph corresponding to each…

A: Solution: 1. The temperature of a metal ingot placed in the furnace and then removed.

Q: x 17. f. 1+2 dx -∞1+x² 18 1 dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. 0 0 O 02-6) dx 을 3/

A: H=∫-11(x2+6)dx∆x=b-anT4=∆x2f(x0)+2f(x1)+2f(x2)+2f(x3)+f(x4)

Q: What is the explicit solution of e^x(y^2+xy) = c ?

A: Given:exy2+xy=CAim: To find the explicit expression of the following formy = yx…

Q: What is the area of this figure? 6 ft 4 ft 6 ft 7 ft 2 ft 6 ft 9 ft Write your answer using…

A: Ans: Total Area=81.5 square feet  For detail....go through the solution...I have solved step by step…

Q: O False

A: For the graph of g(x) to be false ,we need at least  one point which do not satisfy.

Q: Find the solution of the following initial value problem. = 9x (x² - 1); g'(x) = 9x xo The solution…

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Q: Find the norm of v. NOTE: Enter the exact answers. (a) v = (6, -6) ||v|| = (b) v = -6i+2j ||v|| = =…

A: We have given vectors  a v=<6,-6> v=62+-62=36+36=72 v=62 b v=-6i+2j v=-62+22=36+4=40 v=210 c…

Q: Find dy/dx in terms of x and y if cos2(7y)+sin2(7y)= y +9

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Q: Simplify tanh(ln(6x))

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Q: P f(x) dx = 8, prove that f takes the value 4 at least once on the interval [1,3]. there is a value…

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Q: Find the derivative of the function f(X) = x^2-2x by four steps processing.

A: Given function:- fx=x2-2x

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Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 12.50, where frepresents the price…

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Q: If ƒ(x) = (6x² — 5) (4x + 2), find: ƒ'(x) = ƒ'(3) =

A: We have given function  fx=6x2-54x+2 f'x=ddxfx f'x=ddx(6x2-54x+2) f'x=6x2-5·ddx4x+2+4x+2·ddx6x2-5…

Q: Also solve: The equation of the tangent line is y=?

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Q: Let f be a function defined as f(x) = {₁/2²) Note that e≈ 2.72. The value of f'(4) is approximately:…

A: Given:  fx=xex2+8 if x<24x2x+32 if x≥2 To Find:  To evaluate f'4.

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Q: Which of the following integral gives an equivalent area solved by the integral: S™/6 O So -1 cos…

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Q: Find the component forms of v+w and v 7 - ||v|| = 1, ||w|| = 1, v makes an angle of with the…

A: Given: v=w=1 v makes an angle of π6 with positive x-axis and w makes an angle of 3π4 with positive…

Q: since you cant find an inverse, how do you prove the function is one to one so that you can still…

A: Given: y = 2x + x3Aim: To prove that the y = fx is a one-to-one function. Basic information:A…

Q: Suppose f(x) = x³ − 6x² − 63x + 10. Find the absolute extrema of f on each of the following…

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Q: Answer: Compute the value of the following improper integral. If it is divergent, type "Diverges" or…

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Q: ((x+2)−2/3) + (x+2)¹/3 4. f(x) = x (1²(x+2)-2/3). Note: This is the form that the first derivative…

A: We need to find out the intervals where function is negative and where function is positive.

Q: Let F(x, y, z) = (x², 2xy + e³², 3ye³z). Find div F(1,2,0) and curl F(0, 1, 1).

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Q: Q2. Find the equation of the tangent line to f(x) = x³ - 5x² + 1 at x = 1.

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Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: Given: Area of rectangular field = 2000000 square feet. Let one side of rectangular field = x, other…

Q: Let u = i- 3j+5k, v = i + j and w = 2i + 2j — 4k. Find ||u+v||. NOTE: Enter the exact answer.…

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Q: Consider the function in the graph to the right. The function has a maximum of at x = The function…

A: The function has a maximum of -1 at x = -3, meaning that the function reaches its highest value at x…

Q: Evaluate ff(3xy)dA, where R is the region bounded by y = 2x and y = x². R

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Q: A car rental agency rents 420 cars per day at a rate of $30 per day. For each $1 increase in rate,…

A: Given,  a car rental agency rents 440 cars and charges $30 per car. Also, when he increases the…

Q: Find the acute angle (in degrees) between the planes -5x - 4y -z = 5 and 3x + 5y = - 7. Question…

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Q: 8. Find the equation of the line tangent to f(x) = (x² - 3)4 when x = 1. Write your answer in the…

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Q: Find dy by implicit differentiation. dx sin(x² + y²) = xey

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Q: In(x) x² -dx

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Q: tion about the origin. hat is the 13. Let T: R2 R2 be the linear transformation such that T(e₁) and…

A: Please see the below picture for detailed solution.

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Q: Consider the following series. lim n→ ∞ 00 n = 1 Use the Limit Comparison Test to complete the…

A: We need to check the convergence of the series by the use of limit comparison test.

Q: Find exactly the vector oppositely directed to v = (5) and half the length of v.

A: Given, Vector ,v = 5