Let r(t) =< Find ¹(t) r¹(t) = - < 2 t 3t² 7t − 1’ –t² – 1' t³ – 4 - >

Q: y = (x² – 1)lnx

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Q: Find F′(x).

A: Given Data The integral function is F(x)=ꭍxx+2(4t+1)dt.   Solve the given integral function,

Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: Find the GS for x³y"" + 6x²y" + 4xy' — 4y = 1 − x − 2x² -

A: Solution:-

Q: +4x –1 dx x' - x 2.

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: Find f. f(x) = 3 f'(x) = √√√x³ + ³√√x + 5ex + sec² x, f(0) = 8 4

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Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: Given: fx=ex2, x=0, 4, E=0.0002 To find: n To find: Approximate integral.

Q: . If f(x) = V4x – 7, find f'(x).

A: we have ;  f(x)=4x-7;  we have to find f-1(x)

Q: Asap plz

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Q: (x²-ax +4" dx

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Q: A 2xe ²x² B Xex² Ⓒ2e+² D 2xex² Let f(x)= ex², find f'(x)

A: given  f(x)=ex2d dx(ex)=exd dx(xn)=nxn-1

Q: f(x) 132. Let h (x) = g(x) Find a. h' (1), b. h' (3) , and с. h' (4).

A: Given

Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: 2x Find F'(x) given F(x) = S t2dt. -2x

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Q: If f(x) = x' – 8x + 2, find f (-4).

A: We have,  fx=x3-8x+2           ⋯⋯1

Q: 10 6. Evaluate -dx. (x – 1)(x² + 9)*

A: Given integral is We will evaluate the integral by using the concept of partial fraction…

Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

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Q: If x' x= [(-₁)] and x(0) = [] x what is X(T)?

A: Given: x'=01-10x and x(0)=01. To find: x(π)

Q: Given f(x) = x + 4, x < 0. Find (f-1)' (5) 10 1 2 | 29

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Q: Find r'(t)⋅r''(t)forr(t)=−3t^5i+5tj+2t^2k

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Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: Use L and L to solue y' t 3y= f4) y)=5, where f4), (32)

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Q: By= In(Cx-2)

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Q: 6. FinD F(S) if f(t)= t· cost

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Q: If f(t) = (t² + 3t+2) (5t² + 4), find f'(t). 201³ + 45t² + 32t Find f'(2). 40 X

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Q: Suppose f(x) = (x² + 1) · g(x), where g(æ) = mx + b. Find the slope, m, of g if f(0) = 3 and f' (1)…

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Q: Page 6 of 7 7. [4] The total accumulated costs C(t) and revenues R(t) (in thousands of dollars),…

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Q: In (4x+7) 1. Find the derivative of f(x) 5x e 10-18 x? Evaluate the integral: 5x-3x 5 6x*-3x?…

A: Please see the explanation below