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Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: Please show all work. I would like to see where the next steps are coming from.

A: Given: f(x)=∫sin(x)31+t3dt

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

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Q: (1 + x)y' + y = 0

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Q: Find the power series of arctan(x2) (show all work, you cannot use the Maclaurin Series of arctan(x)...

A: To Find: Power series of arctanx2. Concept: Power Series: Power series about 'a' or just power serie...

Q: Evaluate the integral ∫04 (y-2)(2y+1 ) dy

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Q: Consider the following function. S(x) = { 7x – 1 if xs1 if x >1 Calculate f(x) dx. S(x) dx

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Q: A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides...

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Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros. 0...

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y = si...

A: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y = si...

Q: (y+2)dx +y(x+4)dy = 0 ; y(-3) = -1 a. Identify the Differential equation if it is an ODE or PDE.b. E...

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Q: For the DE (D^2 - 2D - 3)y = 0, Find the value of y when x =1, for the particular solution that has ...

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Q: Solve the inequality x2< x + 12 and graph the solution set on a real number line. Express the sol...

A: Given, x2<x+2

Q: 1. Use the Ratio Test to determine the convergence of Divergence of the sires. 5" n=1 n*

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Q: A motor vehicle has a maximum efficiency of 32 mpg at a cruising speed of 40 mph. The efficiency dro...

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Q: •9x² d t dt dx Jo t+ 90 II

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Q: Determine whether the series converges or diverges. 00

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Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to...

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Q: Please help me with this problem. Thank you!

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Q: X 8.5.20 Write the partial fraction decomposition of the following rational expression. 5x2 - 21x + ...

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Q: Determine the values of x for which the function f(x) = {2x2 − 4 x < 2 ...

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Q: lim x → ∞ cos(16/x)^(13.32x^2)

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Q: sketch the region described by the followingspherical coordinates in three-dimensional space. ρ = 3

A: The given equation is ρ = 3. Sketch the graph of ρ = 3 in spherical coordinates as shown below.

Q: Find the center of mass of the given system of point masses mi 3 1 7 (xi,yi)...

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Q: t 0. 36 9 12 (seconds) p(t) (feet) 3 5.5 7 13 17 The position of a particle, A, moving along the x-a...

A: Given table is,

Q: Carol has 2400 ft of fencing to fence in a rectangular horse corral.(a) Find a function that models ...

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Q: Help me number 10 pls. Find the derivatives of the following functions with respect to x and simplif...

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Q: See attached, I wanted to see if I did them correctly. Thanks.

A: Given that dydx=10-2y. Let y=f(x) be a particular solution to the differential equation with initial...

Q: Verify that the Mean Value Theorem can be applied to the function (image), Then find the exact value...

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Q: Find the exact value of the expression whenever it is defined

A: (a) The expression is sin-1-22 By using the property, sin-1(-x)=-sin-1(x) sin-1-22=-sin-122 Let sin...

Q: 15.7.515

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Q: Solve #4

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Q: 1. Find the exact value a. cos (5π/4) b. cos (-11π/6) c. tan (5π/6) d. tan (-π/3) e. cot 120° f. cot...

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Q: Solve the differential equation. xy' + y = 20Vx

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Q: 20,000 is invested at 3.5% interest compounded monthly. How long will it take for the investment to ...

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Q: Explain why the function is discontinuous at a given number. Sketch the graph of the function.

A: A function f(x) is said to be continuous at x=a if

Q: Evaluate the indefinite integral. 12 / (3z)5 + 4(3z)²)((3z)³ + 1)“ dz =

A: Given, ∫(3z)5+4(3z)2(3z)3+112dz