Directions: Find the function f(t) given the following information: f"(t) = sin(t) + cos(t) f(t) = f(0) = 1 f'(0) = −4

Q: 1 R(t) = 2 sin(t) – 4 cos(1)

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Q: Find y". y = ex sin x y" =D %3D

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: dy for the function y GI The derivative

A: Note: You have posted multiple questions, we have solved the first question for you if there is a…

Q: Find the derivative of the function. y = e4 e -20 - 20 cos 50 O A. - 5603 e - 20 , sin 50 O B. 03 e…

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Q: 4. Find the derivative of the following: v(t) = 2sin? (7t) + 4 a. 28 sin(7t) cos (7t) b. 4cos (7t)…

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Q: Exercises: Find the derivatives of: 1. 1-y = (secx + tanx)(secx- tanx) 2- y = x2.cotx- x2 4. 1+cscx…

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Q: 1. y=(sin ¹x² + X 1+tan x

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Q: Find the first and second-order derivatives of the following function: T = 28

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Q: The function v(t) seen below describes a component of velocity as a function of time t. The function…

A: Please refer the attached image for complete solution.

Q: s: Find the function f(t) given the following information: f"(t) = et + sin(t) f(t) = f(0) = 5…

A: Given query is to find the Indicated function.

Q: (g) | sin? r cos" r dr. (h) / sin" z dr.

A: (g) Given- ∫sin2xcos3x dx To find- The value of the above integral. Formula Used- cos2x=1-sin2x

Q: Let f(x) = arctan + arccos (sin x), find and simplify.

A: Given function: We have to find  and simplify.

Q: Find the derivative of the function. r= ( sec 0+ tan 0) - 3

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Q: e - e-r 5. Given that f(x): find f(r) %D note: this is called the sinh function

A: given function   f(x) =ex-e-x2

Q: sider the function f(x) ) = 2 sin (4(x - (x − 3)) + 4. State the amplitude A, period P, and line.…

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Q: a) Find the derivative of the following functions: i) f(x) = x Inx ii) f(x) = iii) f(x) = 1 4* iv)…

A: Solution:-