Find f−1(x) for f(x)=15+10x.   Enter the exact answer.   Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).   f−1(x)=[             ] Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit.

Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

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Q: 1 Find Vf if f = 2 /x²+y² +z?

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Q: Find the particular solution determined by the given condition 314 f'(x) = 3x -6x; f(1) = -6 II

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Q: Find the consumer's surplus if the demand for an item is given by D(x) = 72- x, assuming supply and…

A: solve the following

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 3x2 – 4x + 8 has a tangent…

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Q: Find f(x) by solving the initial value problem s'(x) = 4x2-5, f(0) = -3 %3D

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Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

A: I am attaching image so that you understand each and every step.

Q: Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to…

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Q: F(X)= x^3-18x^2+81X  inflection points occur at x=

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x2/3 - 4x3; f(1) = - 8…

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Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: 4. Given the functions h(x) = 3x - 4 find h(x) 5x + 2

A: Here we have to find inverse of function h(x).

Q: 1. Solve for (f1)'(3) if f(x) = x³ + x +1

A: Recall:  d(f-1(a))dx=1f'(b)                ................(1) How to find Derivative of the…

Q: For which values of c does f (x) = x2 + cx + 1 have a double root? No real roots?

A:

Q: Show that a cubic function f (x) = x3 + ax2 + bx + c is increasing on (−∞,∞) if b > a2/3.

A: Given function is: fx=x3+ax2+bx+c Then we get, f'x=3x2+2ax+b

Q: Q1. Find ý of the function x2 – e2x+3y – In(xy³) = 0. -

A: here is the solution

Q: ,if 0<x< n2 ) = }e** ,if 0 < x <n2 0, otherwise 8x+2 f(x) :

A: The range of x is (0 π^2), is it right?

Q: Find h(0), h(x + 3), and h(-x) for h(x) = x + Vx² – 1. 2)

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Q: A producer of door frame chin-up bars has determined that the revenue from the production and sale…

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Q: Find the Quadratic approximation of the function at the given value f(x) = 1n(x + 1)     near a = 0

A: Given  The function is f(x) = ln(x + 1)     near a = 0 .   Formula for Quadratic approximation :-…

Q: For which values of c does f(x)=x2+cx+4 have a double root? For which values of c does f have no…

A: For which values oF c does F(x)=x2+cx+4 have a double root? For which values oF c does F have no…

Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

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Q: find the general antiderivative of f(x)=4x+7

A: Given : fx = 4x + 7

Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: use Newtown-rapshon method's to approximate the real solution of the following function:…

A: To use newton raphson method to approximate the solution of F(x)=(e-x)-x ,x0=0

Q: 1. Find f'(x) when f (x) = ln(1 – x²) + 3sin-1x + V1 – x² + 7. | Write your answer as a single…

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Q: Find the general antiderivative of f(x)=3x– 4x'+15e*.

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Q: Find f by solving the initial-value problem. f'(x) = 9x² + 6x – 9; f(2) = 5 - f(x) %3D

A: Given,  f'x = 9x2+6x-9  f2 = 5  We have to find  fx

Q: evaluate h(x) = 2x-1/ 3x+1 at the given value of x h(s-5)= ?

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Q: Find the most general antiderivative of f(æ) = -5x + (1 – a²)-1/2, where -1 < x < 1. F(x) =

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Q: Find f by solving the initial-value problem. f'(x) = 6x2 + 8x – 9; f(2) = 4 %3!

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Q: 4. Find a formula for the inverse of f(x) = V2 – 8x.

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Q: Find the function f(x) by solving the initial value p 3. 3x2 f'(x) = -(1, 1) 4

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the absolute extremum values of f(x) = x² – 3x + 8 over the interval [1, 3].

A: First we find critical value and then use first order derivative test.

Q: s given by: (A(x² – 2x + 2) f(x) = ЗА 3 <x< 4 otherwise ere A is a constant

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The function f(x) 223 42x? + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Let's find.

Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: Given f(x)=x² + 5x + 6, what is (2+)-7 O² + 14h 02x+h+5 Oh+4 09+h equal to?

A: Put value in function and then solve

Q: Find f by solving the initial-value problem. f '(x) =8/(x1/2), f(9) = 51

A:

Q: The antiderivative of the function 6. + 8x is. x2 f(x) -6 + 16.0x² + c -6 4.0x? + c - 6 4.0x2 + c -…

A: Solving

Q: According to a study conducted in 2003, the total number of U.S. jobs (in millions) that are…

A: Given Plugging t=5, Therefore the projected number of outsourced jobs for 2005 (t = 5) is 80…

Q: 3. For f(x) = x - 10, find the solution to f(x) = 5.

A: f(x) = x - 10 f(x) = 5

Q: Find the critical numbers of the function. a. f(x) = x3 + 6x? – 15x b. g(x) = V1- x2

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Q: Find f(x) by solving the initial value problem. f '(x) = 9ex - 2x; f(0) = 12 f(x) = %3D

A: We find this by applying integration.

Q: If F(X) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? A 3 В -1 (с) о D)…

A: To find out F(1)-F(-1).

Q: A car purchased for $20,160 is expected to depreciate according to the formula  f(x) = −1920x +…

A:

Q: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) &gt; 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…

Q: Find (f-1)'(a) for f(x) = V4 – 3x when a = 1. (Enter an exact answer.)

A:

Q: Find an antiderivative of ƒ(x) = 3x2 that satisfies F(1) = -1.

A: f(x)=3x2, F(1)=-1

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.