1 Using the power series representation rɔn with interval of convergence 1 – 75 n=D0 1 x E (-1,1), determine a power series representation for (1– 25)² Answer: an where an n=0

Q: Find the critical points of the following function. 1 Inx f(x) =

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Q: 12 Given sec A = and that angle A is 119 in Quadrant II, find the exact value of cot A in simplest…

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A: The given function,  g(t)=3t5-20t4+30t3+80

Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

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Q: b. g (x) 2.

A: Given query is to find the derivative of the expression.

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A: Please see the answer below.

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A: To check:  ∫sin(elnsin-1x)dx1-x2=-cos(sin-1x)+C is true or false.

Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: し+1 n=1

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Q: 3 Which of the following is equal to / sec 2 x tan³x dx to obtain the correct indefinite integral? A…

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Q: a. f (x) sin x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find all values x=a where the function is discontinuous. For each value of x, give the limit of the…

A: Let's find.

Q: Make a complete graph of the following function on the given interval. Use a graphing utility to…

A: f(x)=x-3cosx on -2π,2π

Q: Evakate: fcos 2xdx cos2x, cos 2x +C A sin2x sin 2x B 6 +C sin2x, sin 2x +C 6 2 cos2x cos 2x +C D 2

A: To evaluate: I=∫cos32x dx

Q: de 6) S 7) S(1 – sin? 3t) cos 3t dt 8) ſ tan (5x) sec?(5x) dx cos? e

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Q: Graph f(x) = e +2. Choose the correct graph. OA. Ay 4- OB. Ay OD. Ay Oc. Ay o 包

A: We need to choose correct graph.

Q: is 2/x – Sin|/x+s| +C. Vi+s The antiderivativeof A) True B) False

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Q: x dx is equivalent to If we let u = V 5+x, the integral 5+x A) u (5- B |u(u²-5) du (C | 2(u²- 5) du…

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Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

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Q: Determine the parametric equations of the path of a particle that travels the circle: (x-4)2 +…

A: We have to find the parametric equations.

Q: 5 sin e cos ede 2. sin' 0+3 sin 6 -4

A: ∫5sinθcosθsin2θ+3sinθ-4dθ=5·∫sinθcosθsin2θ+3sinθ-4dθLet u=sin θ.=5·∫uu2+3u-4duBy partial…

Q: 4tan e sec ede tan0-2 tan 0 –15

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Q: () If h(x) = | cosxdx and h =4, then h (0) is equal to 4 A None B -4 C) - 3 D 4 E

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Q: 1 6. cos-xdx cos* xdx xprt.

A: We need to solve the integral.

Q: Question 10 [i[cosh:(2x²) – sinh ( 2x³) ]dt is equal to A © Sude xdx E None

A: Integration

Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A: Solved below

Q: Vy²– 25 The result of the integral in 0 given dy is 5 tane – 50 +C, y

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity​ (feet/second) t…

A: f(t) = -34t + 285 this is velocity function for the distance we have to integrate the function s(t)…

Q: Question 3 „Insec2 (sin2y), Which of the following is one of the correct steps to evaluate the sec2y…

A: Given query is to find the correct step to integrate

Q: The x2-4 dx can only be evaluated using trigonometric substitution technique. A True False

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Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

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Q: Which of the following will yield an inverse trigonometric function e2* dx A 4+e2r ydy B -16 wdw 25-…

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Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

Q: Solve sin(2 – 62) = - Solve the equation for æ without evaluating the inverse function. (Your answer…

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Q: +e-2m) dm=2| cosh2m dm A True B False

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Q: Find the vector PQ × PR if Р%3 (2, 1,0), Q = (-3,21, 10), R = (5, -2,9) (Give your answer using…

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Q: What’s the concepts of calculating the area of a region with subintervals of equal widths and…

A: The concept behind calculating the area of a region with subinterval of: a) Equal width- It is…

Q: Which of the following will yield an inverse trigonometric function? S- wdw 25 – w2 dx В 9– 16x2 ydy…

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Q: Find the Taylor series generated by (a) f (x) = 2x at x =1 ( b ) f (x) = 2x3 + x2 +3x-8 at x =1

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Q: ,In sin –1x ) dx / sin(e n sin -x -cos(sin-!x) +C V 1– x² | A True B False

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Q: Determine the interval of convergence of the following power series: * (z- 2)" Vön n= Answer: Click…

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Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: We have to find the antiderivative of the given function.

Q: Af ter evaluation, if tan 43rdr=tan 3r- ( ?) tan3r +r + C, then find the missing (?) term. 9 A 3 B…

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Q: 25 -x2 In -dx , if we let u =/ 25 – x2 , then udu = - xdx. (А) True B) False

A: We can solve as follows

Q: Use the graph below to find the inflection point(s) and concavity:

A: Answer is in step 2