QUESTION 15 Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.

Q: Find the exact sum of the following series 및 ㅠ 23 O1 O v2 √3 2 ∞ 우 (-1)" (#)2n+1 32n 3 (2n+1)! n=0

A: Concept: For sin(x), the Maclaurin series expansion is given by:…

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Q: 6)    State whether the series converges absolutely, conditionally, or not at all. ∞ n = 1 (−1)n +…

A: The given series is ∑n=1∞(-1)n+1n+9

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A: Disclaimer: since you have asked multiple sub parts of a question, we will solve only first three…

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A: we know that triangular  region is part of plane since all the vertices  ( 2, 0,0)  , ( 0, 6, 0)…

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Q: = 4 cost, Use an integral to find the area of the region bounded by the curve x = y=5sint, 0≤t≤2π.

A: SOLUTION-

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Q: Question 3 A dilution tank initially contained 100L of fresh water. Then water which contained…

A: As per our guidelines answer first three subpart of a multipart question. So please resubmit the…

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Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

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Q: Which of the following functions (there may be more than one) are solutions of the differential…

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Q: QUESTION 9 Use the information given about the angle 8, 0≤ 8 5 2π, to find the exact value of the…

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Q: If the sequence { 2 9 - An An - 3 converges to 6, then the sequence {an} converges to 9.

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Q: Question Find the change in volume dV if a circular cylinder with radius r (Round your answer to the…

A: Volume of a circular cylinder is V=πr2h

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Q: Question Find the linear approximation L(x) of the function f(x) = -5x³ - 5x²-3x - 1 at a = -4.…

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Q: You deposited $50 into a bank that offers 2.5% interest for 30 years. A: What is simple interest…

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Q: Question Find the linear approximation L(x) of the function f(x)=√x - 10 at a = 26. (Enter an exact…

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Q: 1 Σ (3)"-wn + 4 n = 0 (n + 1)(n + 2).

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Q: 2π 21/17 10 Th 7/1xsin nx dx 2π I need to solve the integration in a table or zero method, a…

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Q: 1 1+exte -X dx

A: Yo evaluate the integral.

Q: Bottom of the page is cut off i cannot see the solution.

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm /…

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Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 2) is twice…

A: Let    P(x,y,z)  be the general point  A( -2, 5, 2)  and  B(6, 3, -3)PA=2PB Recall

Q: 2.j -dx 2x2 x-1

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Q: [sin¹ 3x cos² 3xdx

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Q: 2(3+3+9-8)-6

A: Given data:- 2(3+3+9-8)-6

Q: For the function f(x) = 3x2 −x3 − 4 where −3 ≤ x ≤ 3, complete the following. 1. Find f′ and f′′.…

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Q: Let f(x) = 14x + 6 - 17e. Then the equation of the tangent line to the graph of f(x) at the point…

A: The given function is fx=14x+6-17ex we have to find the equation of the tangent line at the point…

Q: Express the equation in logarithmic form: (a) 45 = 1024 is equivalent to log4 A = B. A = and B = (b)…

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Q: Evaluate O |x + 1/² |x - 21³ O 3 ln x²-x2 + C In In In O In x+7 x²-x-2 ·S B +C |x+2/8/3 |x-1|5/3 |x…

A: This question can be solved using the concept of partial fraction.

Q: Consider the following. (The graph is called a Witch of Agnesi.) y Find the derivative of the…

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Q: incorrect

A: To find dy and to evaluate when x=-5 and dx=0.4 for the function y=2x4-45x+1.

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A: Given that,  Height from which the rock is dropped is 197ft Function defining position of rock at…

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A: Given 1. A license plate must contain 2 numerical digits followed by 2 letters. 2. the first digit…

Q: Evaluate O O In 9 3 2 - In 2 In 2 x² 2 O tan¹ (2) tan¹(1) O ln 2 0 1 3 9 dx. x³ + 1 -

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Q: Let g be defined by the equation g(x) = sin 2 dt 1²-1 Show that g'(x): = sec z.

A: Given:       gx=∫sinx0 dtt2-1       Factor -1 from the denominator:       =-∫sinx011-t2dt       The…

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Q: Use the properties of the derivative to find[r(t) × u(t)] given the following vector-valued function…

A: As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power Law: ddxxn=nxn-1 And a·f'=a·f', where…

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Q: If the population of a country is 100 million people and the population is increasing exponentially…

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Q: Find the exact value of the expressic ܪܕܐ -1 sin sin ၁ 5 သ | O 2n O 2n 5 5 Эт O 3n 5 3 5

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Q: Use integration by parts to evaluate the definite integral fr² ln x dr

A: Topic- integration by parts