Determine if the series converges or diverges. If the series converges, find its sum. 00 2n Σ n=1 (2n - 1)2(2n + 1)2 1. converges; 3 converges; O converges; converges; in37/3

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum (as in...

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Q: B. Let Y = {a,b, c} and Z = {1,2} %3D %3D 1. Find Y x Z 2. Find Z x Y 3. Find Y x Y

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Q: Suppose Juan invests in an annuity that pays 6% annual interest, compounded annually. He contributes...

A: Juan invest $4000 annually with rate of interest 6% annual Annuity formulaA=PMT((1+rn)nt -1)rnA is t...

Q: Evaluate the price wise function at the given value of the indépendant variable. Evaluate at f(4). f...

A:   f(x)=  6x-1 if x<0                       7x+3 if  x≥ 0 TO find: f(4)

Q: If company A manufactures t-shirts and sells them to retailers for US$9.80 each.It has fixed costs o...

A: The selling price of each T-shirt by company A is US$9.80. The fixed cost of production  of T-shirts...

Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 9æ² and ...

A: To Find: Using Triple integral find the volume of the solid bounded by the paraboliccylinder y=9x2 a...

Q: Clearly state the quantity of the three sides in the right triangle you are going to use, and mark ...

A: From figure, Let x=5secθ dx=5secθtanθ

Q: Definite integrals Evaluate the following definite integral.

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Q: Need help with this question, please explain and show steps clearly

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Q: What interest rate, compounded quarterly, results in an annual percentage yield (APY) of 4%? Enter y...

A: Interest 3.94136

Q: Triple Play Bank advertises that a deposit in one of their continuously compounded savings accounts ...

A: We know that, A=P1+r100t Where, A= final sum, P= Invested sum , r= interest rate and t= time of inve...

Q: The problem is on the picture. Show the solution.

A: The minutes hand of a clock has length 15 cm The given angle is 105 degree We know that in a clock e...

Q: The city of Anville is currently home to 22000 people, and the population has been growing at a cont...

A: Given data:   The initial population of Anville is P=22000. The rate at which the population is incr...

Q: dy (13) Find implicitly and then find the slope of the tangent line to the curve at (2,0): x2 -y = 4...

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use...

A: Given the differential equation: dydx=8x67

Q: 6

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Q: 4-

A: The given functions y=2x-313 Differentiate with respect to x f'x=132x-313-1       =2x-3-233f''x=-292...

Q: Find all the local minimum/minima, maximum/maxima, inflection points, intercepts, and all asymptotes...

A: Consider the equation

Q: FIND ds/dt

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Q: Considering only the values of 0 for which the expression is defined, which of the following is equi...

A: The given expression is tan-θ·sec-θ·cotθ   Known fact: tan-θ=-tanθsec-θ=secθcotθ=1tanθ

Q: Solve the equation  In(X^2 +5x + 5)=0  for x

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Q: Let y = cos(arcsin 8x). Rewrite it as y = cos 0, where 0 = arcsin

A: y=cos(arcsin (8x))   ------------equation 1now y=cosθ  -----------------equation 2by comparing equat...

Q: Determine whether each statement is true or false. If the statement is false, make the necessary cha...

A: we know that irrational number can be positive and negative also so, given statement is false

Q: Considering only the values of B for which sin Bcos Bcsc B is defined, which of the following expres...

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Q: 1 3 ln(2.r Evaluate dx.

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Q: Find dy/dx.  Y3 + (y+2)2 - 1 - x2 = x

A: Expand the left hand side expression and isolate the variables x and y. y3+y+22-1-x2=xy3+y2+4y+4-1-x...

Q: Suppose an annuity pays 7.0% annual interest, compounded annually. If you invest $3,000 every year f...

A: Consider the equation

Q: Consider the function. (If an answer does not exist, enter DNE. Round your answers to three decimal ...

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Q: A catering company determines that if x thousand dollars are spent on advertising then S(x) people w...

A: Given that  A catering company determines that if x thousand dollars are spent on advertising then S...

Q: If c is a zero of the polynomial P, then(a) P(c)=________.(b) x c is a___________ of P(x) .(c) c is ...

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Q: Let f(x) be the function 11x? – 7x + 5. Then the quotient f(7+h)-f(7) can be simplified to ah + b fo...

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Q: sin® x(3x + 1) (4хт — 5)°(2л + 3)10" Use logarithmic differentiation to find y' if y

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Q: A box has a square base and a height of 10in. The edge of the base increases at 2 in per min. How fa...

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Q: Please help with the problem I've attached thank you.

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Q: The problem is on the picture.

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Q: If f(x)=sin^4 x, find f'(2)

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Q: 3-

A: The given function y=3x+4 Differentiate with respect to x f'(x)=323x+4 f'(x) is not defined at x=-4/...

Q: Evaluate the triple integral |// xy dV where E is the solid tetrahedon with vertices (0,0,0), (7, 0,...

A: Consider the following: Equation of plane passing through 7,0,0,0,5,0,0,0,10x7+y5+z10=1x ​ranges fro...

Q: The function ?(?) = −0.015?3 + 1.05? gives the alcohol level of an average person’s bloodstream t ho...

A: At=-0.015t3+1.05t Differentiating with respect to t(time), we get A't=-0.0153t2+1.051=-0.045t2+1.05

Q: You have 7 zucchinis. Each cup of grated zucchini weighs 5 ounces and each zucchini weighs .58 pound...

A: Each zucchini weighs 0.58 pounds, so 7 zucchinis will weigh a total of 7(0.58)=4.06 pounds or 4.06(1...

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing #35

A: Q35 Consider the function, fx=x23·x2-4 Differentiate the given function w.r.t.”x” f'x=x23ddxx2-4+x2-...

Q: Find an equation of the ellipse having the given properties and plot the ellipse.

A: The center at (-2,3), the major axis is horizontal and passing through (1,4) and (2,3). We have to f...

Q: Hi, I would need help with this problem. thank you!

A: consider the given equation of the curve, x2y2+xy=2 to find the slope of the tangent differentiate t...

Q: Express the equation in logarithmic form. (a) 24 = 16 %3D (b) 10-3 = 0.001

A: a)24=16taking log bothside with base 2log2(24)=log2164log22=log2(16)       here  [log22=1]Solog2(16)...

Q: Extreme Value Theorem & Mean Value Theorem

A: Given, fx=4x1+x2  To show there exist c=0,1 such that f'c=2