Use any method to determine whether the series converge. (a) 11k k=1 8.

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Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

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Q: Ce* + 1 is 3x = dy/dx – 3y = -3 for any choice of the constant C. Thus, Ce* + 1 is a one-parameter f...

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Q: many characteristics of the plants were quantified, such as their height (tall or short), flower pos...

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Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D...

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute : cos(4x+3)=td(cos(4x+3))=-4sin(4x+3)dx=dtdx=-...

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Q: -1< x< 2 3 Consider the function f(x) = x = 2 4- x 2 < x< 3 |1 x2 3 (a) Sketch f(x). (b) Discuss the...

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Q: Solve using method of undetermined coefficients d?x d3x + 6 dt3 dt2 d?x + 12 dx dx + 8x = 0 when t =...

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Q: Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that...

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Q: Question 11 ean -15t sech(en-15) t Evaluate: 1+25/2 A -tan-le tan -ISt + C B tan-le tan-15t --tan -l...

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Q: / In(sin(x)) dv using simple substitution, dv =f (x) dx_ Determine the valut of f(x) if In order to ...

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Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

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Q: Activity 4: Show necessary solutions in your answer sheet. A. Find the intervals on which each funct...

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Q: How to solve the integral of (x+2)/(x+4)? Apparently division with rational functions is required

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Q: 5) Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal populati...

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Q: Using integration by parts, evaluate x cos(3x) dx x cos 3x - sin 3x + C Option 1 x sin 3x - cos 3x +...

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Q: Find the area bounded by the indicated equations. y = x 5, x = -5, x = 1, y = 0 В) 2604 15625 6 7813...

A: Given: y=x5, x=-5, x=1, y=0 The area of the curve by the bounded region is given by: A=∫x5dx Here, t...

Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Solve for the orthogonal trajectories x²(3k – x) – ky² = xy?

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Q: Vx + sinyx Evaluate:

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Q: E. DIFFERENTIATION Obtain the derivative of the following functions: y = Vx² (2x – a²)

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Q: Solve the differential equation (7x – 4y + 15)dy + (2x – 5y + 12)dx = 0 when x = 3, y = 2

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Q: correct. Canvas uses right minus wrong scheme in che Question 1 IP 15x³ 3x°t is a xp (Choose all app...

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: For Understanding of the shell method (Revolution about the x-axis):

Q: B. LIMITS Evaluate the following limits: EI 191 lim g (y) y+-2 y° +5 if y < -2 3 – 3y if y 2 -2 wher...

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Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

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Q: Vミ-2 lim ミー→4 -4

A: Let, L=limz→ 4z-2z-4Rationalize Numerator L=limz→ 4z-2z-4z+2z+2 L=limz→ 4z-4(z-4)(z+2)L=limz→ 41(z+2...

Q: A. FUNCTIONS 2 Given f(x) = 3x – 2 and g(x) =+, find each of the following: 3 (a) (f o g) (x) (b) (g...

A: If f(x) and g(x) are real valued functions then  (fog)=(fog)(x)          =f(g(x)) (gof)=(gof)(x)    ...

Q: 2w2+9w+ 1 -dw is the same as w +4 2w + 1+ dw w+4 A 3 dw w+4 В 2w – 1- © S: 2w +1– dw w+4 67 dw D 2w ...

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Q: 20. Let h be the function defined by h(x) : L, sin²t dt. Which of the following is an equation for t...

A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

Q: (a) u'(1) = It does exist. u'(1) does not exist because f '(1) does not exist. O u'(1) does not exis...

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Q: Suppose f(x)=6(2.3)x and g(x)=58(1.7)x. Solve f(x)=g(x) for x.

A: Given that        f(x) = 6(2.3)x and  g(x) = 58(1.7)x And given f(x) = g(x)  Here we have to find th...

Q: 7. Determine the measure of an edge of cube whose total surface area is 150in.

A: the total surface area of a cube=6a2

Q: Classify the differential equation: (台)-() 3. 3. X P -2T 5. dyt O Third order, fifth degree, linear ...

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Q: (Inºx– 3lnx) +dx (A Inx B Inºx © Intx D In x- 3lnx E In x- 3 (F) None

A: The integral is  ∫ln6x-3lnx4xdx

Q: Evaluate the integral. dx 3x2 + 11x + 6 0.

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Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A: 1) I=∫14-x2dx Let, u=x2, Then, x=2u  and   dx=2du now, the intergal becomes: I=∫14-(2u)22du I=2∫14-4...

Q: Which of the following integration expression can be transformed into integral of power (Choose 2) @...

A: To find out the integration expressions which can be transformed into the integral of power. 

Q: 9. DETAILS SCALCET8 8.2.027. If the region R = {(x, y) | x 2 1, 0 s y s 1/x} is rotated about the x-...

A: Given :f(x)=1x=y ∀x∈[1,∞)To find volume of the given region :V=π∫aby2dx  

Q: csc2tdt=In|csc2t – cot21|+C A) True B False

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Q: In integrating the function f(3x + 5)(cos ) dx using integration by parts, what would be your du?

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Q: cosh (x) dx sinh (x)dx cosh (x) - sinh (x) is equal to ? B.I A.0 The definite integral of that funct...

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Q: Evaluate: x + sinx dxp.

A: Here we have to evaluate I=∫x+sinxxdx

Q: 3. =メー1 x+1 デー

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Q: Set-up the integral to calculate the area of a region bounded by х-у-3 and y-x2 -6x+9? A dy dx x2— б...

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Q: The integral csc(0.5) dx is equal to Sco A None of the given choices B 4tan¬le0.5x + C © 21n|csc(0.5...

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Q: 1. Calculate for one real root of tan x = 4x with xo 1.2 %3D up to six decimal places using the Newt...

A: Ques : tanx=4x f(x) = tan(x)-4x f'(x) = sec2(x)-4 x0 = 1.2 By Newton Raphson method xn+1 ...

Q: The graph of a function f is shown. Does f satisfy the hypotheses of the Mean Value Theorem on the i...

A: topic - mean value theorem

Q: 14. Find the linearization, L(x,y,z) of the function f(x, y, z) = x³/y2 + z² at the pointP,(2,3,4). ...

A: Given that        f(x,y,z) = x3√(y2+z2)