Set p(t) = COS t 0≤t≤2 To otherwise For -∞ < x < ∞, set f(x) = 1, g(x) = q'(x), h(x) = f* q (t) dt. Verify the following: (i) (f* g)(x) = 0 (ii) (g * h) (x) = (y * y) (x) > 0 for x = (0,4) (iii) Thus (f* g) * h = 0 whereas f * (g * h) = k > 0. Why is f* (g * h) ‡ (f * g) * h ?. -

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A: The given function is .The aim is to find the .

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A:

Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).

A:

Q: Suppose that f (0) = 2 and f'(x) 0. Show that f(4) 0.

A: f(0)=2   and f'(x)≤3  for all x&gt;0 ⋯(i)integrate (i) w.r.to x ,we getf(x)≤3x+kput…

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

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Q: Let f(x) = 3e7x+3 +e². ƒ'(0) = Enter the exact value.

A:

Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

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Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

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Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

Q: Q. (a) Find an equation of the tangent plane to each surface at the given point. (b) Find symmetric…

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Q: 7 x + 2 Let f(x) = x4 . x + 5 f'(x) = %3D

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Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

Q: Find f such that f'(x) = 9 √x f(9) = 59.

A: f′(x)=9x,f(9)=59

Q: (b) A poll commissioned by a politician estimates that t days after he makes a statement denegrating…

A: Given, S(t)=75(t2-3t+25)t2+3t+25 (i) Approval Rate,…

Q: = 2. Find f(x) if f'(x) = 7//1 – x2 and f f(x) |

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Q: Consider the function h(z), for which h(4) = -12 and h'(4) = -7. %3D h(z) Find f'(4) for the…

A: To Determine: find f'4 Given: consider the function h(x) for which h4=-12 and h'4=-7 also…

Q: Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3…

A: Derivative of the function

Q: Let f(t) = (t² + 4t+8) (2t² + 3). Find f'(t). f' (t) = Find f'(5). f'(5)=

A: The given function

Q: Find f such that f'(x)=x²-4 and f(0) = 5. f(x) = 0

A: f'x=x2-4

Q: Find f such that f'(x) = x² +4 and f(0) = 3.

A:

Q: Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132).

A: f(x) is a function with f(130)=39 and f′(130)=2

Q: Suppose that f(x + h) – f(x) = 7hx? – 8hx + 5h²x – 3h? – 7h³. Find f'(x).

A: The quotient difference formula is given as, f'x=limh→0fx+h-fxh it is given that…

Q: Cet f(x): f'(12) = 4x - 3 5x67 Evaluate f'(x) at x = 12.

A: f(x)=4x-35x-6d dx(ab)=bd dx(a)-ad dx(b)b2d dx(xn)=nxn-1

Q: Compute f'(a) algebraically for the given value of a. f (x) 2x – a2; a = -1 limp 0 (4 – h) = 0 limp…

A: The function is given by f(x) = 2x-x2; a =-1 To evaluate : f'(a) Formula Used : f'(a) = limh→0f(a+h)…

Q: Find f such that f'(x)=x² +4 and f(0) = 1. f(x) =

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: 7. Determine where the function is continuous. (a) f(x) = 1+x (b) g(x) = sinx+x² + x + 1. x² (c)…

A: This is a problem related to continuity of thr function. Please follow the procedure given below.

Q: c) Suppose f(5) = 1, f (5) = 6, f'(-3) = 4, g(5) = -3, g'(5) = 2, and h(x) = f(g(x)) + f(x)g(x),…

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

Q: Evaluate f'(x) at x =2 given f(x) = ÷(x² - 3)*

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Q: Find f'(x) for f(x) = In(x +x²) with x # 0. Select one or more: a. x* + x² b. 4x + 2 x + x O c. 4x +…

A: