Write the sum using sigma notation. Vī V3 + .. 18 28 38 n8 Σ k = 1

Q: Consider the function below. f(x) = 8 + 2x² – xA

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Q: need to be shown how to work this problem sumation where n=0 to infinitive than solve      3^n /…

A: Topic:- function

Q: 1 a) r(t) = ( In(7t), Vi + 4, V17 - t b) r(t) = ( Vi – 3, sin(81), ² ) t 3t 1/3 c) r(t) = /2 – 64 -

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Q: | 2f(x) + ldx

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Q: 1 dx /9x² + 4

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y2,…

A: This question is based on finding equation of tangent plane.

Q: There is a power plant that charges 10 cents per kilowatt hour for electricity and produces 1,000…

A: Given query is to find marginal cost.

Q: Find the area of the region enclosed by the inner loop of the limaçon r = 11+ 22 cos 0. [Hint: r < 0…

A: To find the area of the region enclosed by the inner loop limacon. Given r=11+22cos (theta)

Q: 5. An investment that earns 7.5% per year compounded monthly. What is the actual annual (1-year)…

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Q: For what value of x does the function f(x) =x³ 4x attain the absolute minimum %3D in the interval…

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Q: 4 dx x2 4x2 - -- x2

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Q: The function P(t) = t2(2t + 3), can ONLY be differentiated by using the product rule. Select one: O…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 4…

A: Use relationship between cartesian coordinates and polar coordinates

Q: Let f(x,y) = (x^2 - y^2) / (x^2 + y^2) ^2 . Let R = [1, infinity) x [1, infinity). Evaluate the…

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Q: Plot the following functions over the defined

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Q: 14. (a) For the angle Name the quadrant the angle lies in and its reference angle/number (b) Convert…

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Q: a)Use the second derivative test to determine whether the function has a local maximum or local…

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Q: 00 (-1)"n Does the series converge absolutely, converge conditionally, or diverge? n= 1

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Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by…

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Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. (a) lim…

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Q: if t<B ft2B Given the function Rt) =1 t2 +1 (-2t+1 %3D Determine one value for B for which the…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: an+1 If lim then the series > an an n=15 may or may not converge. Not enough information. converges…

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Q: 3. According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the…

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Q: x* – 6x3 Find Lim x-0 x3 – 4x

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Q: Nana sells homemade hand sanitizers at a price of 75 pesos per bottle. Suppose x bottles of…

A: Given problem:- Nana sells homemade hand sanitizers at a price of 75 pesos per bottle. Suppose x…

Q: 1 Imit |2 – x| x → 2

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Q: 4x2 + 21x + 54 -dx x² + 6x + 13

A: Given,            ∫4x2+21x+54x2+6x+13dx

Q: A particle moves in a straight line and has acceleration given by a(t) = 12t + 5 sin t. Its initial…

A: To find the position of the function s(t) of the particle. Given that a(t)=12t+5sin(t) Initial…

Q: RAODUS FIND a of ConuELLENCE foNo AMD INTEiL OF ConvenCENck Of THE (x-3)

A: We have to find radius of convegence and interval of convergence

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: The volume of the solid under the plane 3 x+ 3 y -z=0 and above the region enclosed 23 by y=2 x and…

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Q: 5. Determine the inverse Laplace trans- form of the given function. 7s2 - 41s + 84 (b) (s – 1)(s2 –…

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Q: 2. Find the surface area of the octant.

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Q: . Write step by step solutions and justify your answers. 1-- x² y" – 4xy + 4y = 0. Consider the DE:…

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Q: Evaluate the definite integral. t1/3 t2/3) dt 3 20

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Q: Question Given the triangle below, find the angle 0. 0. 10 9. Give your answer in degrees rounded to…

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Q: Find an approximate value for the integral, using the trapezoidal rule w intervals. Round the answer…

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Q: Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes to fill the…

A: Given problem:- Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes…

Q: Find the average value over the given interval. -X. y = 5 e [0,4] The average value is

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Q: dx xVx² – 9 .2 X

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 6. INNICATE If SZilaEs IS convEILENT OR DIUERCENTO IOENTIFY WHOCH TEST(s) USED. n! n?

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Q: If you are asked to find the indefinite integral of f(x) = x ln(x), and you are told to integrate by…

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Q: a) Suppose that f(4)=3 and f'(4)=-5. Find g'(4) where g(x)=Vx f(x)

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 17 Σ…

A: Given query is to find series converges or diverges.

Q: 6. Use identities to show the following statements are true. sin x cos x tan x =1-cos?x a) b) ,sin x…

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Q: Question: 3 a) Find g'(-1) by using the definition of the derivative for the function g(x) ax-1…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A rectangle is to be inscribed inside the semi-circle with its base along the x-axis. The equation…

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Q: Differentiate the function y = -5e0

A: given function y = -5e0

Q: The angle of clevation rm a puinit on the prosnd N the top of e tree in 33.6 depreces. The angle of…

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