Find F(t) such that F'(t) = sec³ (t) tan³ (t) and F (3) = 0.

Q: Find f. f"(x) = cos(x), f(0) = 3, f'(0) = 6, f"(0) = 4

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Q: Find f. f'(t) 8 cos(t) + sec?(t), -7/2 <t < a/2, f(a/3) = 5 f(t) =

A: Given

Q: 6. Find the tangent line to the function f(x) = 2x cos"(x) (0, 1).

A: To find the slope we need…

Q: Find f. f(0) = = f"(0) = sin(0) + cos(8), f(0) = 3, f'(0) = 2

A: f"θ=sinθ+cosθ Integrating both sides  ∫f" θdθ=∫sinθdθ+∫cosθdθ f'θ=-cosθ+sinθ+C..... (i)  Put θ=0…

Q: Find f. f"(x) = cos(x), f(0) = 6, f'(0) = 4, f"(0) = 9 f(x) =

A: We can find the value of f(x) as below.

Q: Find f. f "(x) = 7 + cos(x), f(0) = -1, f(71/2) = 0 %3D %3D

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Q: c If f" (x) = 18 cos 3x and f' (0) = f(5) = 1, find f(x).

A: The solution of the problem is given in the next step.

Q: Find f(t) given that f"(t)=sin(x) + cos(x) - 10, f'(0)=10, and f(0)=20.  Please show steps. Thanks.

A:

Q: Let h(t) = tan(3t + 8). Then h'(5) is and h"(5) is

A: As we know that the chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   Given: ht=tan3t+8 Now…

Q: f(t)=5 sec²(7 Tt – 3)

A:

Q: 1) Find the hundredth derivative of p (x) = (x + x° + x')'º(1 + x²)'' (x³ + x° + x'). Justify your…

A: Here we have to find the hundredth derivative of p(x)=(x+x5+x7)10(1+x2)11(x3+x5+x7) .

Q: a.) f(x) = sec(e") b.) g(x) = tan¯'(x)+3* +x!5 %3D _1.5

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Q: Given g (x) = x³mx, what is g' (n)?

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Q: Find the derivative of the function. f(t) = V5 + tan t sec²(t) 9 V5 + tan(t)2 f'(t) =

A:

Q: Let h(x) = tan (2x + 6). Then h'(2) is and h'(2) is

A: topic- functions and derivatives

Q: Let f (x) = 4 tan (7x). Find the values of the coefficients in the expressions for f' (x) and f"(x)…

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Q: x(t)=sin2((pi/2)-t)  y(t)=cos4((pi/2-t) 0≤t≤pi/2 determine the slope of the curve at t= pi/4…

A: xt=sin2π2-t,  yt=cos4π2-t,  0≤t≤π2 Differentiating with respect to t, we get dxdt=2sinπ2-t·ddtπ2-t…

Q: Find t'(x) for the function t(x) : tan x Make sure to show all of your work. ez

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Q: Let f(r) = 2 sec(2r). Determine the following %3D f'(x) = 4 sec(2x) tan(2x) %3D f'(4) =

A: As we know that; The chain rule: fgx'=f'gx·g'x And ddxsecx=secxtanx From the given function:…

Q: Find f. f(t) = f'(t) sec(t) (sec(t) + tan(t)), -2-√2 x Need Help? Read It Watch It - 1/2 < t < 1/₁ (…

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

A: Given problem:- f''(θ) = sin(θ) + cos(θ) , f(0) =2 , f'(0) =2  To find:- f(θ)

Q: Can you find f

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Q: Find f. f'(t) = sec(t)(sec(t) + tan(t)), f(t) = - 1/2 <²<= // ¹ ( ² ) = -3

A: Given that, f't=sectsect+tant, -π2&lt;t&lt;π2, fπ4=-3 We have to find the function ft

Q: Let f (t) = et sin 7t Part (a) Find L{f (t)} Part (b) Find L{f' (t)}

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