f(x) = Cos (3x) as a 6th degree polynomial centered at x = 0. Hint use the following: P₂(x) = ƒ(0) + ƒ'(0)x + f" (0) x² + 2! f(0) x³ + 3! f(n)(0) n!

Q: s(t) = (3t1/2+2)(5t1/3+1). Find the derivative of the function using the product rule and simplify…

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Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: Use the first derivatives to find the local exterme of f(x) =x³ -12x on R

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Q: Let f(x) = x² – 6x +3 with domain 0 < x < 3. Calculate (f-1)'(-2) . Note: Round to two decimal…

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Q: What is the coefficient of the x term in Maclaurin polynomial for sin(2x)

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Q: Let f (x) = Evaluate the following. Simplify if possible. 9x +7 f (x) – f(a) a) 7 where A = A' for x…

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Q: Let f(x) = v9x+ 8 and g(x) = x+9 be functions from R to R. Find the following. a) (f • g)(x) = %3D…

A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

Q: How does the function ƒ(x) = x2 - 1/x - 1 behave near x = 1?

A: The given function is f(x)=x2-1x-1 we have to check the behave near x = 1

Q: 1. Find the fourth Maclaurin polynomial for f (x)= sin 2x.

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Q: dx For - = In[F(x)]+C• What is f(/3) if C = 0? (x+x³) (x Tan-'x + 1) -1 - 6. + -1 - -15 -is -is

A: Integrate ∫dx(x+x3)(xtan-1x+1)

Q: Let f(z) = 11 – z f (z) =

A: To write the inverse of the function y = f(x), we need to rewrite the terms such that we could write…

Q: The function f(x)=(2-x)/(3) is continuous at

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: Find f such that f'(x) = f(x)= 9 √x f(1) = 32.

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Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + sinx c) f(x) =

A: Differentiate wrt x

Q: Let a, b 0. Find f(100) (a) provided that x³ (a - bx)²* f(x) =

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Q: ind the interval of increase and decrease of the following functions: ii. f(r) = r°(5 – r)? vi. f(x)…

A: As per guidelines we can solve only three subpart. For any other questions repost them.

Q: 3- Find the root of function F(x) = x² – 10 Using XL=3 , X,-4 , ɛ = 0.1

A: given function Fx=x2-10 with condition XL=3, Xu=4, εS=0.1 claim- find the roots of the function

Q: Find the anditerivative of the function f with the given condition f(x) = 0.528 - 4.5 sin(6.5x) and…

A: To find the anti-derivative of the function  with the given condition. and

Q: Find ao of the function f(x) 1-Cosx f(x) =

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