1) Find the Taylor Series for sin(x)

Q: The population in millions of arctic founder in the Atlantic ocean is modeled by the function P (t)…

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Q: Pr[A'nB]=0.4 and Pr[(AUB)']=0.5. determine Pr[A]

A: GivenP(A'∩B)=0.4P(A∪B)'=0.5

Q: Find the 1st and 2nd derivative. p= (q+2 divided by q)(q+6 divided by qsquared) show all work

A: Given p= (q+2q)(q+6q2)

Q: 3. (a) For P(t) = (4t² + 3) (2t³ — t)¹², find P'(t). After taking the derivative(s), do not simplify…

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Q: •2 1 dx o (2x + 1)3

A: ∫02 12x+13dx

Q: '5 7 f(x) dx = 11, evaluate 15 Given f(x) dx = 19 and 7 (a) f(x) dx.

A: Given : ∫05fxdx = 19∫57fxdx = 11

Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: 0.5 0.6 0.7 f(x) 0.493 0.712 0.933 f'(x)

A: Given: x 0.5 0.6 0.7 f(x) 0.493 0.712 0.933 To compute: f'(x) using forward, central and…

Q: 4. (a) Find dx (b) Using the result from part (a), evaluate. x So (1 + 22)3/2 (1+22)3/2 dx.

A: ANSWER : (a) ​  ANSWER : (b) ​

Q: 3 13 (3.) [ 1 5 dx 2 x 1 - 16x

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Q: Find f. (x + 1) f'(x) = (1) = 3 %3D f(x) =

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Q: 2. (10 points) Evaluate 3x² (x3+5)² dx (using substitution)

A: Step 1:Step 2: