A particle is moving with acceleration a(t) = 24t+ 8. its position at time t = velocity at time t = 0 is v(0) = 9. What is its position at time t = 13? 0 is s(0) = 16 and its

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A: The given function: fx=x251-x

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A: To find the power series of the function centered at origin.

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Q: 4.83. Show that dz z²a² 2a In ( ² = a) + ² th-¹2+ a +C₁=-coth a C2.

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

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A: The given integral is x2+1, limit from 1 to 2.

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A: solve by series sum

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A: Given, ∫139x2+x-1dx

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Let us provide examples of rational function and exponential function below.

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A: We know that the Taylor series of fx centered at 0 is given by fx = f0 + f'01!x + f''02!x2 +…

Q: x - 5 lim £→5 x2 – 5 Enter DNE if the limit does not exist. Limit=

A: To find the limit of the function

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A: Series

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A: We will find the required.

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Q: (x- 2. Find (algebraically) the absolute maximum and minimum values of f(x) = x² interval (0, +∞),…

A: Given : find critical points equate to zero

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A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

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Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

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Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.)…

A: Find the limit at t=2

Q: graph of g(x). 6 Ay 4 3 2 1 −4 −3 −2 −11 2 y=g(x) 1 2 3 4 5

A: If g(x) is the first derivative of f(x), then f(x) has a relative minimum at x=3.

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A: We will find the required.

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Q: Use a definite integral to find the area under the curve between the given x-values. 1 from x = 1 to…

A: By using a definite integral to find the area under the curve between the given x‐values.fx=1x from…

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A: We need to find the equation of tangent to the graph f(x)=2-x at point (1,1).

Q: 2. Use the Fundamental Theorem of Calculus, (a) (b) (c) to evaluate the integrals: TT 3 sec x (secx…

A: Solve by integration

Q: If y = f(x) in the figure, find the following. y -6 -4 -2 (a) f(5) = (b) f(9) = 12 6 -6- (5, 6)…

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A: NOTE: Refresh your page if you can't see any equations. .

Q: Find sin t and cost for the given value t = -420°

A: Find sint and cost for the given value of t  t= -420 degree

Q: = .. Find the tangent plane and normal line to the surface ƒ (x, y) : (1, 0, 1). xey at the point

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