Σ n=1 (2n+ 1)3/2 Use the Integral Test to determine if converges or diverge:

Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h as…

A: This question can be solved using the concept of finding the domain and range of a function from the…

Q: 5 3 + s2 –8 s2. 3.

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Q: dy in terms of a da Use the Chain Rule to find y = (u – 2)3 and 1 27 + 1 u%3D

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Q: Find the f( for this f (x) = l09, x Cos-lx

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Q: Examples. For each of the following power series, identify the centre a and nth coefficient cn. ( 0)…

A: To find the center a pf the power series and nth coeffiecient.

Q: Consider the given: х3 — 4х2 x(х + 8)(х — 2) (x + 2)3 8(7x – 4) f(x) = ;f"(x) (x + 2)2 i f (x) : (x…

A: The given functions and their derivatives are: f(x)=x3-4x2(x+2)2=x2(x-4)(x+2)2,…

Q: True or false, for the graph of y=2^x, the slope of the tangent line is the same as the function…

A: slope of tangent line to a curve y = f(x) is given by          m = dydx

Q: Let D={(x,y) | x2 +y² <49}. Let f(x,y)=V49-(x²+y²). J| f(x,y)dA <343T Select one: True False

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Q: 21 4 B=5 -2 A= %3D 3 0 Find the Lollowing 5 Only) (chease A+B 3A -B

A: A=2-130  , B=521-21) A+B    =2-130+521-2  =2+5-1+23+10-2  =714-2A+B=[714-2]

Q: Q.2 A= i-3j - 2k B = 31 +5j +7K Find the fallowing For the tuwo Vectors: %3D (choose Soaly). O BÁ…

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Q: Assume that cost of a gallon of milk is $3.00. With continious compounding, find the time it would…

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Q: Find the taylor Series of f(x) centered at the given valve of a and the interval on which the…

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Q: Find Laplace ice transforms of the ictions: suonpun f(t) = t – 2e3t

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Q: The marginal cost of manufacturing æ yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x² (in…

A: This is a problem related to changes in cost per yards of production. Based on the general formula…

Q: g(a) = / V1+ 8t dt. Use the Fundamental Theorem of Calculus to find g'(æ). Let g'(æ) =||

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Q: Consider the following. Demand Function      Quantity Demanded p = 500 − 3x      x = 24  Find the…

A: p= 500-3x , x= 24Let Ep be price elasticity of demandEp=px×dpdxdifferentiate p w.r.t xdpdx=-3

Q: f(x) = 2x sinh(x - 1) + 2* – x %3D

A: answer is in next step

Q: Given the power series Σ 4 (x - 3)" - n = 0 n + 2n Find the "Radius of Convergence" for the series.

A: Radius of convergence of the given power series  ∑n=0∞ 4n2+2nx-3n

Q: Divide. (-20x + 8x+ 5x* – 4– 3x) + (-5x - 3) Remainder Write your answer in the following form:…

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Q: Find f. f"(8) = sin(0) + cos(8), F(0) = 5, f(0) = 4 F(8) -sin(0) – cos(0) + 5x + 6

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Q: C. Solve the following problem. 1.) Find (fg)' if f(4) = 3, f'(4) = 2 , g(4) = -6, and g'(4) = 8.…

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Q: Find an equation of the plane tangent to the following surface at the given point. V3 cos (xyz) =…

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Q: Identify whether the following functions are continuous or not. Write your solutions on a separate…

A: Find your answer below

Q: Evaluate the integral. (Use C for the constant of integration.) 2 dx ex/2

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Q: By volume, one alloy is %60 copper, %30 zinc, and %10 nickel. A second alloy has percents of %50,…

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Q: The area of the surface generated by revolving the curve y = V9 - x,-2 s xS 2 about the x-axis is…

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Q: Water flows into an empty reservoir at a rate of 2200 + 15t gal/hour . What is the quantity of water…

A: Given, Rate of  flow into the tank= 2200+15t gal/hour t is time in hours Time= 6 hours

Q: A. For each of the following functions, find the indicated derivative using the definition. 4. f(x)…

A: Let's find.

Q: For eac. ation, determine whether it represents a direct variation, an inverse variation, or…

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Q: () 4. For the curve y=c cosh show that p= 5. Find the curvature at (1,-1) on the curve y= x - 3x+1.…

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Q: Either evaluate the following improper integrals or show that it diverges. +oo 1 (i) - dx +oo (ii) 2…

A: We have to evaluate the given integrals.

Q: Here is a graph of the function g. 4- -2- -3- -4- Use the graph to find the following. If there is…

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Q: 6.) r(t) = (cos t, sin t, In cos t), (1, 0, 0)

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Q: Determine whether the (-1) "3" 00 geometric series * is convergent or n=1 6" divergent, and if it is…

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Q: dv Solve the differential equation ds s+1 You may leave your answer in implicit form. sv+s

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Q: Use the chain rule to find the derivative of f(z) = 4/10z5 + 4x4 Type your answer without fractional…

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Q: By volume, one alloy is %60 copper, %30 zinc, and %10 nickel. A second alloy has percents of %50,…

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Q: Let R= [0,2]×[0,2]. The integral || xedA = e2 -3 R. Select one: O True False

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Q: If the average value of a function f(x) is 3 on the interval [0,1] then the average value of f(x) on…

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Q: dy Find by implicit differentiation a. ペt=e4 b. Jxy=xy+| Sinx t 2 cos 2y=I %3D C-

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Q: The length of the curve y = 3 - 4Vx for 0 < x < 3 is calculated by the integral: %3D Select one: 3 O…

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Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2300t – 300t² where t is in…

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Q: dy +cosh 2y=0 dx 3. sin x ans: sinh 2y-2cosx3Dc

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Q: Find the critical point of the function f(x,y) = 3x2y2 + 2y2 + 2x2. a. (0.82,0) b. (0,0) c.…

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Q: Find the derivative if the following and simply to its simplest fo a) y= (4t2 – 3t + 2)-2 (x+3)* b)…

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Q: 4. S V tan x sectx dx

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Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+1) b. h(x) = x² sin x

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Q: Give the curve r = 3 cos 0 b) Find the points on the given curve r = 3 cos O where the tangent line…

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Q: Given the piecewise function |x² + 1, if x > c f(=) = {22, | 2x, if x < c lim f(x) find the value of…

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Q: Divide. (242°v+12z°v^- 35zv?) = (-42^v) 4 2 Simplify your answer as much as possible.

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