dr 2 +r² dt, 2 L = dz' (dt. dt, x = rcos(0) y = rsen(0).

Q: How much should Michelle have in a savings account that is earning 4.50% compounded quarterly, if he...

A: interest rate = 4.05% = 0.0405 rate at quarterly = 0.0405/4 = 0.010125 duration = 8 year  compunded ...

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Q: 4 り

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A: It is a series expansion problem

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A: Given query is to find radius of convergence.

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Q: 19. Give the midpoint approximation of xdx with n = 2.

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Q: 1 с) у- d) y= x 2** e*

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Q: Please do 35

A: We have to find the monotone intervals, local maximum and minimum values and concavity intervals.

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Q: n+ In (3) Given the sequence Then the limit lim a = a n- 00

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the functio f(x) =...

A: Taylor series of a function f(x) about c=0 is given by, f(x)= ∑n=0∞fn(0)xnn!

Q: Find the length of the curve defined by y = 3x/2 + 3 from x = 3 to x = 9.

A:

Q: If g(t) = 2r +9t2-7 find. %3D g(0) = -7 g'(0) = -7 g" (0) = g"(0) = %3D g(4) (0) = g(5)(0) =

A:

Q: Let a + 0 such that a. (a+ 2) =0. Which of the following statements is correct? A. None of the choic...

A: Given, a is not equal to 0, So, a•(a+2) = 0 implies a+2 = 0 So, a = - 2    Hence, mone of the choice...

Q: Find the Taylor polynomials of orders n = 0, 1, 2,3, and 4 about x = x0 and then find the nth Taylor...

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Q: Solve. y+2 y-10 = 3 4 3 Select the correct choice below and, if necessary, fill in the answer box to...

A: We will find the solution of given equation as shown below

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Q: What events in life can you compare to continuous functions?

A: A function is a continuous function if the graph of the function is not breaking at any point in its...

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A: We can evaluate the following as follows

Q: (11) Which of the following functions f: Z x Z Z is injective (A) f(1,y) = 1/y (B) f(x,y) = x+y (C) ...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: Assume that functions f and g are differentiable with f(-3)= -5, f(- 3) = -4, g(-3)=2, and g'(-3)3D2...

A: Equation of a line

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) n = 4, c = 4 Pa(x) =

A: see below the answer

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A: Given query is to find the equation of the tangent.

Q: according to the squeeze theorem, for values of x near a if g(x)≤f(x)≤h(x) and limx→ah(x) = L then l...

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Q: Solve. Vx-3 +5 = x ... Select the correct choice below and, if necessary, fill in the answer box to ...

A: We have to find solutions

Q: 2. Consider the following graph. 2- -2- What is the equation of the asymptote present? A. y=3 В. х%3...

A:

Q: Give a power series Cnx" such that it is convergent if |x| 1 of x = -1.

A:  

Q: Find the arc length of y = 7r +1 over the interval [0, 2]

A: y = 7r + 1 arc length=∫02 1+(dy/dr)2dr dy/dr = 7' arc length=∫02 1+(7)2dr arc length=∫02 50dr arc le...

Q: 3. Given n > 1, let S, = E-. Show that S, is not -k=1 k° an integer.

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Q: ах + b Differentiate f(x) = where a, b, c, and d are constants and %3D сх + d' ad - bc 0. | f'(x) = ...

A: Given: f(x)=ax+bcx+d, where a,b,c, d are constant and ad-bc≠0

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A: Given function z3+xez=2-y3+lny3 cos(y+1)

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Q: Example 4: Show that the inverse of a point a with respect to the circle| z - c | = Ris the %3D R 2 ...

A: Given the inverse of a point wrt circle 

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A: Question is solved.

Q: Find f'(x) for the following function. Then find f'(6), f'(0), and f'(- 7). f(x) = - 4x + 5x

A: Given,             fx=-4x2+5xTo find : f'x , f'6 , f'0 , f'-7

Q: Calculate the future value of the following ordinary simple annuities. Round the answers to the near...

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) (1 + x)4 Σ f(x) = n = ...

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Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

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Q: Find the function with the transform 10 1 - e-4s – 4se- â(s) = 1- e-10s

A:

Q: Find the nth Maclaurin polynomial for the function. f(x) = e, n- 5 Pglx) =

A: f(x)=e-x, n=5 Now P5(x)=f(0)+f'(0)1!x+f''(0)2!x2+f'''(0)3!x3+f''''(0)4!x4+f'''''(0)5!x5 f(x)=e-x,f(0...

Q: 29. Show that sin x rif0<1 <2m.

A:

Q: Function g is related to the parent function. Identify the parent function f. g(x)= -x³-2

A: