Solve the initial value problem: find the function f(x) if f"(x) = x5/2 and f'(16) = 3 and r(0) = 0.

Q: f"(x) = 4x – 2 and f'(-3) = -3 and f(-3) = –6. Find f' (x) = %3D and find f(4) :

A: f''(x)=4x-2 f'(-3)=-3 , f(-3)=-6

Q: given f(x)=250e0.04x, find f'(14)

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Q: If f(x) = 10x + 4, find ƒ'(10). f'(10) =

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Q: |If f(x) = /7x + 10, find f'(x).

A: Given problem is :

Q: Given f"(x) = 7x + 1 and f'(-3) = -5 and f(-3) = 4. Find f'(x) and find f(2) =

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Q: Let f(x) = x² g(x³). Suppose g(64) = 7, g(48) = -4, g' (64) = 4, and g' (48) = -3. Find f'(4) =

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Q: If f(x)-3x+3x and f'(0)-3( by using 2-points formula with h=0.5), then the value of a is Select one:…

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Q: Given f"(x) = 6x - 1 and f'(-3) = -3 and f(-3) = -4 Find f'(x) =  and find f(1)=

A: Given f''x = 6x-1    and f'-3 =-3                                  f-3=-4Now  We know f'x = ∫f''xdx…

Q: If f and g are functions that satisfy f'(2) = -3 and g'(2) = -1, find h'(2) for h(x) = -5f(x) +…

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Q: Consider the function f(x) = (g(x)h(x))^2 and the following function values: f(5) = 1 g(5) = −1…

A: Given: f(x)=[g(x)h(x)]2f(5)=1g(5)=−1h(5)=2g'(5)=3h'(5)=4f'(5)=?

Q: Given f''(x) = 4x – 5 and f'( – 3) = 3 and f( – 3) = 6. %3D Find f'(x) = and find f(3)

A: Given, f''x=4x-5 , f'-3=3 and f-3=6 We have to find f'x and f3.

Q: Given f''(x) = 3x – 1 and f'( – 3) = – 5 and f( – 3) = - 1. Find f'(x) and find f(4)

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Q: Given f"(x)=6x-6 and f'(-1) = 5 and f(-1) = 1. Find f'(x) = and find f(1) =

A: Given are the following: The second derivative function is:f′′(x)=6x−6The initial conditions…

Q: If f(x) = V3x + 8, find f' (x).

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Q: If f'(x) = 12r + 3z² and f(1) = 7, find f(x) . f(x) =

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Q: Find f. f(x) = f"(x) = -2 + 18x - 12x², f(0) = 3, f'(0) = 12

A: Integration

Q: f"(x) = 2x – 4 and f'(-1) = -1 and f(-1) = -3. Find f'(x) = and find f(4) = %3D

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Q: Given sin(a)= -and a is in quadrant IV and sin(B) = and π/2 <B<T. Use sum and difference formulas to…

A: Given sin(α) = - 8/9 and α is in quadrant IV and sin(β) = 5/8 and π/2&lt;β&lt;π Use sum and…

Q: Given f'"(1) = 9x +4 and f'(- 2) = 2 and f(- 2) = - 6. - Find f'(x) = and find f(4)

A: Given  f''x=9x+4          f'-2=-2  and f-2=-6          f'x=∫f''x dx+C                =∫ 9x+4  dx+C…

Q: Find f(x) using the following information. f '(x) = 9x2 + 6x + 4 ,    f (2) = 50   f(x)=

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Q: Find g'(4) given that ƒ(4) = 7, ƒ'(4) = −1, and g(x) = √xƒ(x). Answer:

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Q: Given f"(x) = 5x + 6 and f'(0) = -6 and f(0) = -5. Find f'(x) = and find f(4)

A: given  f''(x)=5x+6given  f'(0)=-6  and f(0)=-5we know ∫xndx=xn+1n+1+c

Q: Find f(x) if f(x) = = 13. 4.x + 17 and f(1) :

A: Given: f'x=4x3+17 And, f1=13 The objective is to find fx.

Q: B. f"(x)=8x³ +5, ƒ(1)=0, ƒ'(1)=8

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Q: f" (x) = 7x – 1 and f'(-2) = -1 and f(-2) = -4. Find f'(r) = and find f(4) = %3D

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Q: Find f (x). 2. X f(x) = + 2 5x- 1 っX

A: Given So,        f'(x)=x2+25x-1' Apply the Quotient Rule:  fg'=f '·g-g'·fg2…

Q: - If f'(x)=3x² 2 and f (1) = 4, find f(e).

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Q: f"(x) = 7x – 2 - and f'(-3) = –6 and f(-3) -2. Find f'(x) = and find f(4) =

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Q: For f(x) = x² + 2x + 2, find f(2), f'(2), and f(3) – f(2). a. f(2) = b. f'(2) = c. f(3) – f(2) =

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Q: If f(x) = V4x + 12, find f'(x).

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