Find f. f"(x) = cos(x), (0) = 2, f'(0) = 8, f "(0) = 4 %3D %3D f(x) = A stone is dropped from the upper observation deck of a tower, 850 m above the ground. (Assume g = 9.8 m/s2.) %3D (a) Find the distance (in meters) of the stone above ground level at time t. h(t) = (b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.) (c) With what velocity does it strike the ground? (Round your answer to one decimal place.) m/s (d) If the stone is thrown downward with a speed of 3 m/s, how long does it take to reach the ground? (Round your answer to two

Q: If you know that f(x) = f'(x) = f"(x) and that f(2) = 3 while f(6) = 3e* then: T. f''(x) dx %3D

A: We have to evaluate the integral ∫26xf''(x)dx. We have given that f(x) = f'(x) = f''(x) and f(2) = 3…

Q: 3. Find f(x) if f'(x) = sec²x - sinx and f(TT/4) = 1. %3D %3D

A: Given: f'(x) = sec2x -sinx  To find: The value of f(x)  and  fπ4.

Q: Find f. f"(x) = 8x3 + 5, f(1) = 2, f'(1) = 3 %3D %3D f(x)

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Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

A:

Q: Find f. f"(0) = sin(0) + cos(60), f(0) = 3, f'(0) = 1 f(0) = %3D

A:

Q: Find f. f"(0) = sin(0) + cos(0), f(0) = 3, f'(0) = 4 f(0) =

A: Objective is to find f.

Q: x cos'(y)dx + tan y dy = 0, y(4) = 7 2. X COS

A:

Q: Find f. f(x) = f ''(x) = cos(x), f(0) = 4, f'(0) = 5, f "(0) = 7

A:

Q: Find f. f(x) = f"(x) = cos(x), f(0) = 9, f'(0): = = 8, f "(0) = 6

A: Given,  f'''(x)=cosx, f(0)=9, f'(0)=8, f''(0)=6

Q: "ind f'(x), where f(x) is the inverse function of y = cos T, x E [T?, 472].

A:

Q: Find f. f"(x) = 5e* – 8 sin(x), f(0) = 3, = 0 %3D %3D f(x) = IN

A: Answer and explanation is given below

Q: Find f. f"(0) = sin(0) + cos(8), f(0) = 5, f'(0) = 2

A: Given, f"(θ)=sinθ+cosθ f(0)=5 and f'(0)=2

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

A: Integration

Q: Fihd f if f"(±) = sin(z), f(0) = -1, f'(0) = -1, f"(0) = -4. %3D f(z) =| D

A: Given: f'''(x)=sin(x),  f(0)=-1,  f'(0)=-1,  f"(0)=-4

Q: ex+1 b) Find f'(x) of f (x) = x2+3 %3D c) For y = xk+1, where k is a constant. Find y'".

A:

Q: Find f, f "' (x) = cos(x), f(0) = 4, f'(0) = 4 f'(0) = 9 f(x) =

A: Given: f'''x=cosx, f0=4, f'0=4 and f"0=9 To find: fx Solution: We have f'''x=cosx Integrating both…

Q: Let f(x) = cos(3/7). Find f'(x). f'(z) =

A: Recall: df(g(x))dx=f'(g(x)).g'(x) dcos xdx=-sinx dxndx=nxn-1

Q: Find f. f(0) = f"(0) = sin(0) + cos(8), cos(8), f(0) = 1, f '(0) = 3

A:

Q: Find f. f"(8) = sin 0 + cos e, f(0) = 1, f'(0) = 2 f(e) =

A:

Q: Find f. f"(8) = sin(0) + cos(8), F(0) = 5, f(0) = 4 F(8) -sin(0) – cos(0) + 5x + 6

A:

Q: Find f. f "(x) = 5 + cos(x), f(0) = –1, f(9/2) = 0 f(x) : %D

A:

Q: f(z) = cos(4r +5) %3D

A: we have to derivative  we know that  d(cos (ax+b) ) = -sin (ax+b) a                        = - a sin…

Q: Differentiate f() 5æ? 8 cos x. - Answer: f'(x) =

A:

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

A:

Q: The function is given: y=-2x³ - 4x +9 Find all derivatives up to zero: y=x"; y'=x²-1

A: