Let f(t) 8 7t and h(t) t2 - 1. Find general expressions for each of the following. af (t)-h(t) ? Edit b.f (t)h(t) ? Edit c.f (t) h(t) ?Edit

Q: Describe the long run behavior of f(r) 478 – 5r + 5r + 2 As r → 00, f(r) → ? As r → 0, f(r) ? v

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Q: Let f(t) = t³e6t + e - 2tsin 10 t. Find L

A: Introduction: The Laplace transform of the functions eattn and eatsinbt is given by…

Q: 7. Find c such that f(c) = fave where fave is your answer to the previous problem.

A: (7) The function is given as , fx=x3 find c for fc=fave where fave is average value of f on 0,27.

Q: if (b) Suppose that f(x) (Bx² – 3 (Вх + 2 *> 2 if Find the value of B so that f(x) is continuous…

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Q: Given f(x) = In(- 4e" – 13), f'(x) = %3D

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Q: For f : R → Rf (x) = /100 – xHow many elements of the range of f (x}are integers?

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Q: If f(t) = 9t+1, find f"(5). %3D

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Q: Let f(r) = 4x + 2 and g(z) = 5a² + 5x. After simplifying, (fo g)(x) =

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Q: If f(t) = 103t-5 x e2t, determine the value(s) of t so that f'(t) = 0.

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Q: Calculate M6 for f(x) = v3x over [4,7]. %3D (Use decimal notation. Give your answer to two decimal…

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Q: (b): Let f(x) V3x +9 and g(x) = 2x + 6 find fog(x) and gof(x).

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Q: If f(x) = | V17+t³dt, then what is f(-1)?

A: Leibnitz Rule: Let f(x) be a differentiable function on closed interval a,b such that a,bare the…

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A: We have to find value of a and b

Q: Let a be a constant and f(x, y) = x³ – 3axy + y³. Determine that the following - statements are…

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Q: Find f"(1) if fx) = x- 2x+ T. O 3n? - 2 O 31? – 1 12 - 21

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Q: 13. Which is the dependent variable in the function d= f(k)= 3k+4? %3D Af Bd Ck D 3 14. Which is the…

A: Dependent variable is the variable which depends upon the input of the function and for each input…

Q: Let h(x) = f(x) – 9(x). If ƒ(x) = 5x² and g(x) 2a3, what is h' (1)? Select the correct answer below:…

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Q2) If f(x) = (x), and g(x) = (2 – x) find (gof)(x) and the domain of (gof)(x).

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Q: Let / (r) – = 2x 3z+2 and g (r) 6x 5x+2. What is the rule for (g-f) (x)? o (g-) ()- 4 2x o (g-) (2)…

A: Given functions are                                   f(x)=2x4-3x2+2g(x)=6x2-5x+2 we have to find…

Q: : Find a2f and a2f of the following: дх ду ду дх (1) f(x,y) = In(x?y) + ху (2) f(x,y) = e-3x*y³ +…

A: While finding partial derivative in multivariable function, if we have to find the partial…

Q: Q5/ Let F(x) = x>0 is c.d.f, find the value of P(-3<x< 4). e.w

A: It is an important part of statistics. It is widely used.

Q: Given that f(x) = x²h(x) h( – 1) = 4 h'( – 1) = 7 Calculate f'( – 1). Hint: Use the product rule and…

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Q: Let f(x) = cx4.2 and suppose that f(5) = 30. Find the value of c.

A: Given f(x) = cx4.2

Q: Describe the end behavior of f(t) = 4tº – 4t8 – t6 + 5 - As t → - 0, f(t) → As t → 0, f(t) → ?

A: Given that - f(t)=4t9-4t8-t6+5 To Determine- End behavior of polynomial.

Q: Given f(x, y) 70x + 60y – 2? – 3y? – xy - - evaluate f(1, 3). f(1, 3) =

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Q: Suppose f (x) = dr=AV5- 3x +C, for constants A and C, what is the value of A? %3D If V5- 3x

A: Integration

Q: Express f(x) in the form a(x − h)2 + k. f(x) = −4x2 + 24x − 17   f(x)=?

A: Given: f(x) = −4x2 + 24x − 17…

Q: Show that f: R → R defined as f (a) = 3a³-4 is a one to one

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Q: c) Let f:R → R be defined by f (x) = 2x² + 2x – 12. Is fone-to-one? Justify your answer.

A: A function f from A to B defined by y = f(x) is said to be one-to-one, if and only if for every pair…

Q: Let T : P2 –→ P2 be defined by T(p(x)) = p(3x + 6) and let B = {1, x, x²}. {1, æ, b c a If [T]B = d…

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Q: Fuppose that f'(x) = Vx +4 for x>0, and that f(1) = 1. Find f(4).

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Q: Given f(x, y) = - 4x4 – 3x?y3 – 2yº, find | f-(T, y) = fy(x, y) = fzz(T, y) = | fzy(T, y) =

A: The function                    fx,y=-4x4-3x2y3-2y6 then we have to evaluate the following...

Q: Let f(x) = cx3.4 and suppose that f(4) = 14. Find the value of c. Round to 4 places, if needed. c =

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Q: Let f(x) = V90 Then the domain of fogis equal to a, b] for - x and g(x) = x² – x. a = and b =

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Q: Describe the long run behavior of f(t) 3t° + 3t – 4t2 – 5 As t → – , f(t) → ? As t → o, f(t) → (?

A: Given the function f(t)=-3t8+3t5-4t2-5. We need to find the long run behavior of the function f(t)…

Q: What is the domain of f(x)=Dsin1(IIn(x)l)? %3D Select one: O (0,e] O (0,00)

A: Given, fx =sin-1lnx  We have to find the domain of  fx =sin-1lnx

Q: 33. Given the function f(x,y) = 3x – x³y² + 2x³y, what is A. 3– 2ry + 6x²y B. -2ry + 2r C. 3 – 2ry²…

A: From the given function; fx,y=3x-x2y2+2x3y As we know that, The Power law: ddxxn=nxn-1

Q: .If f(z) = 2° + 9 and g(z) = a+ 12, find [go f](-1). %3D

A: Givenf(x) = x3 +9, g(x) = x+12g ∘ f-1 = ?

Q: af , Given the function f (x,y) = 3x – x²y² + 2x°y, what is iTe ду А. 3 — 2ху? + бх?у В. - 2х3у +…

A: Given query is to find the partial derivative with respect to y.

Q: 4 4 Consider the function fx, y) = 4x*+ 4y* – 16xy + 3. Which of the following statement is true?

A: Given function is f(x,y)=4x4+4y4-16xy+3 find out the which statement is true

Q: Given f(x, y) = 90x + 80y – 2x?– 3y – xy - Evaluate f(9, 7) f(9, 7) =

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Q: Given, f (x) = 2x° + 7x² – 11x +1 select the TRUE statement about the end behaviour of f(x). O x →…

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Q: Suppose that the cost for manufacturing n desks is C dollars, so we have C=f(n). Which of the…

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Q: Suppose f (x) f(x) dr Evaluate: (A - In (2) B 3. 16 D In (2)

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Q: Let f(x) = cx -1.28 and suppose that f(6) = 29. Find the value of c

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Q: dx (b): Evaluate the Jo (1+x)(2+x)/x(1-x)

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Q: Let d: R2 × R2 →R given by

A: A metric space is a pair (M,d), where M is a set and d is a function M×M→R satisfying the following…

Q: Express the deriviative (f (5x - 2)) in terms of f'. a) O f' (5a2 – 2) b) O f' (10x)

A: Express the derivative ddxf(5x2-2) in terms of f'

Q: If F (t) = L-{a10 find F (7) 2s+10 82+10s+34 2e3 2e5m -2e-5m -2e-3T

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