Given the following power series, find the radius of convergence. HINT: Determine if you want to use the Ratio or Root test. Then, solve for x. 00 1. Σ (-1)"n (x + 3)" n = 1 5*

Q: Let f(x) = 7x2(x – 11) + 12. Find the critical points c that correspond to local minima.

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Q: Solve. 1 4 8 %3D 4x + 12 x -9 x-3 Select the correct choice below and, if necessary, fill in the ans...

A: Solve 1/(4x+12) -4/(x2-9) = 8/(x-3)   

Q: You plan to save money for a down payment of $42,000 to purchase an apartment. You can only afford t...

A: Please see the below picture for detailed solution. 

Q: (-1)**l а, Ans. Converges, 0 7) 2n –1 2n 8) an Ans. Converges, v2 n+1

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Q: Problem 2: Given z = 2 + i, 22 = 1 + 3i, zz = -4i and z4 = 2 – 3i.Evalua (a) (f) Z4 - z1 Z3 (b) |Im{...

A: Given; z1=2+i, z2=1+3i, z3=-4i and z4=2-3i Repost the next parts.

Q: Compute the derivative of the function y using derivative rules. y = (9x + 5)' (Express numbers in e...

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Q: The sum of two positive real numbers x and y is 6. Find an x and y among these such that the product...

A: We need to find x and y.

Q: Find the average rate of change for the following function. f(x) = 2x - 5x +3 between x = - 1 and x ...

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Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: A contract requires lease payments of $800 at the beginning of every month for 4 years. a. What is t...

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Q: Qi) Solve the following PDES by direct integration. 2) = 0 дх ду 3) = x?y %3D дх ду dxdy azu -2t and...

A: Solve PDE by direct integration.  According to guidelines we solve only first question. 

Q: EXAMPLE 1 Finding a Volume Find the volume of the region D enclosed by the surfaces z = x + 3y2 and ...

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Q: 2. In each of the following, find fyzz, fryz, fryz- 2. f(x, y, z) = In(xyz) + z² tan-'(e*")

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Q: Cameron set up a fund that would pay his family $4,000 at the beginning of every month, in perpetuit...

A: We have to find the size of investment.

Q: For the function f(x) x sin a, find the Maclaurin series and its radius of = COS X - convergence.

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Q: The function g is related to one of the parent functions described in an earlier section. g(x) = x² ...

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Q: Find range of function f(x): b) f(x)= (2 – x)V 4x – x²,xE (0, 4) -

A: b)   f(x)=(2-x)4x-x2 , x∈(0,4)         plot the function on the graph    

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A: Given problem:- Find the distance from the plane to the origin. The plane has A(1,1,0) B (-1,0,1) an...

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the l...

A: The given functiopn,   f(x)=x3+8x-9

Q: True or false? If f' is increasing on the interval (a, b), then f must be concave up on (a, b). True...

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Q: 4 り

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

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Q: we might learn in a physics class that the air pressure can be found as a function of altitude h fee...

A: We have to find the if the function is increasing or decreasing and its concavity.     According to ...

Q: Jordan contributed $700 at the end of every 3 months, for 3 years, into a Registered Retirement Savi...

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Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = t - 9t + 6...

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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...

Q: Set up an integral that represents the arc length of the function g(x) = sin x for the interval [0, ...

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Q: If a <b_<c_ If lim a =L and lim c,=L+7 then which of these is TRUE? n- 00 O A By squeeze theorem, (b...

A: The correct option is,  

Q: Determine if the series converges or diverges. 00 Σ n=1 n! The series (coverges/diverges) using the ...

A: We have to find, the series is divergent or convergence. 

Q: find the area of the region bounded above by the curve y = 2e^-x + x, below by the curve y = e^x/2, ...

A: To find the area of the region bounded above by the curve y=2e-x+x, below by the curve y=ex2 on the ...

Q: 8. rix of A using LU decomposition. 4 6 0] 6 12 2 8 4 A = %3D

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Q: A loan, amortized over 25 years, is repaid by making payments of $1,800 at the end of every month. I...

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

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Q: How much money should Bryan invest today into a fund that earns interest at 5.75% compounded quarter...

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Q: Portfolio Appeal Constructed Response Task

A: Given  Family decides to spend not more than $20.00 for the week. Each day, The family eats 1/3 of a...

Q: Evaluate the indicated function for f(x)=x²+6 and g(x)=x-5. (f/g)(-4)-g(6)

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x f(x) = 1 + x+ 4...

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Q: tan - de 3 3 sec

A: According to Bartleby's guidelines we can solve only 1 question at a time. Here's the solution for q...

Q: A loan, amortized over 5 years, is repaid by making payments of $1,900 at the end of every month. If...

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Q: ne sketch. base 120 130 140 QUESTION 6 Water is scarce in South Africa. The annual average rain fall...

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Q: A closed right circular cylindrical tank is to have a capacity of 128??3. Find the dimensions of the...

A: Volume of cylindrical tank is 128π m3.

Q: Calculate the limit. lim n→o 11n + 20 (Give an exact answer. Use symbolic notation and fractions whe...

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Q: Given that a, =3 and if a is even; a n+1 5a -1 if a is odd. Then tern number four, i.e., a, is

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Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

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Q: 1 Given f(x) find the average rate of change of f(x) on the interval [9, 9 + h]. Your answer x + 10 ...

A: Given:      f(x) = 1 / (x + 10)   Interval : [ 9 , 9+h ] 

Q: (e) Every function f defined on (-0o, 0o) that satisfies the condition that lim f(x) = lim f(x) = ∞ ...

A: Critical points, continuity and differentiability

Q: Calculate the amount of money Melanie had to deposit in an investment fund growing at an interest ra...

A:   Calculate the amount of money Cody had to deposit in an investment fund growing at an interest rat...

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

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Q: A community bird-watching society makes and sells simple bird feeders to raise money for its conserv...

A: We first find equation for profit.

Q: Solve the differential equation with approphate method. Express final answer in its simplest form. *...

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