Check the convergence or divergence of the following series and find the sum if the series converges

Q: Use the Fundamental Theorem to evaluate the definite integral exactly. S e -0.1t dt =

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Q: Given the function: a. Find f'(x) and f"(x) b. Determine the following properties of the graph of f.…

A: Please see the below picture for detailed solution.

Q: Find a) any critical values and b) any relative extrema. f(x)=x²-6x+5

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Q: 6.4 Find the largest integer smaller than -3/2

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: [x(t): 2+² ly(t) =…

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Q: A Sno-Cone at the carnival has the shape of a hemisphere on top of an inverted cone. What is the…

A: To find the volume of sno cone.

Q: Evaluate. b 1 S½x³dx 2 a

A: We can solve this as follows:

Q: Consider the curve given by x = t³ +2t² - 4t + 7 and y = -8t+t². (a) Find the equation of the…

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Q: Find the area enclosed by the ellipse a cos(t), y = b sin(t) with 0 ≤ t ≤ 2.

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Q: Find the particular solution of the differential equation that satisfies the initial conditio f"(x)…

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Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A: We have to find the number of terms of the given convergent series that must be summed.

Q: company manufactures mountain bikes. The research department produced the marginal cost function…

A: Given query is to find the increase in cost for indicated production level.

Q: Find h'(x) if h (x) (2 csc x) (5 sin x - 3x). O-2 cot2 x (5 sin x - 3x) O2 cotx (5 cotx - csc x) -2…

A: Givenhx=2cscx5sinx-3x We know that cscx=1sinx We know that dcscxdx=-cscx.cotx Product rule for…

Q: P3 Find the Maclaurin expansion for the following functions and indicate for which values of a it…

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Q: The price-earnings ratio of a stock is given by P RP,E) = E where P is the price of the stock and E…

A: Given: Price per share of a certain company, P = $30.13 Earning Per share, E = $1.84

Q: Consider the following parametric curve. Answer parts a and b. x=t+ 1 dy dx - 7 1 y=t-it=1 a.…

A: dtndt=ntn-1dydx=dydtdxdt

Q: Question 6. Find the area of the region outside the polar curve r = , but inside r = cos(40). As…

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Q: -X 2) x dy + 4y = x ²³-x

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Q: Given the information below, define a set of parametric equations, x(t) and y(t) to model the…

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Q: (c) [*e*dz = e² dr (d) [₁ 2³ d dr

A: Let's solve given integral.

Q: Find the indicated value of the function f(x,y,z)=2x-7y² + 3z³ - 5. f(9, -4,3) f(9,- 4,3)=

A: Here is the solution:

Q: could you please write the answer properly please and clearly

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: Find an antiderivative F(x) with F'(x) = 7x³ + 14x + 4 and F(0) = 1. F(x) =

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Q: that 1+2i is a zero of the polynomial f with real coefficients. Which of the following statements is…

A: Given query is to find the incorrect statement.

Q: 63. Determine the radius and interval of convergence of Σ (21kx)* k=0

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Q: Question 17 A circle has a radius of 5 cm. If the radius is increased by 0.1 mm.. what is the…

A: To solve the following problem

Q: Differentiate. d| y=9*.log7x dx (9²-log,x) = 0

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Q: find the length of y=√x² from to += 12 x = formula 3 L = So 9 Ht( f (x) J² dx

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Q: Using the binomial theorem to find the 4th term of √x + 2

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Q: he tangent line to s(t) a(t) at the point

A: We have to find the slope from the given information

Q: 53 6.5³ € f(x) dx = 16, then compute the value of the following definite integral. /39 If I F f(7x +…

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Q: Substition Simple Ing (x + Iny) dx = (x²) dy-0 III Solve using

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Q: 25x-2 dx 7.) Si3ex

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Q: Follow the hint and solve the system.   log(x) + log(y)  =  3 2  2 log(x) − log(y)  =  0…

A: Logarithmic equation

Q: Let F = . Calculate the divergence of F and - - find point P where div(F) = 0. P=

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Q: Suppose f'(x) = x4+x³-6x². Determine the value of x where f has a relative minimum value. (A) -2 B)…

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Q: 8. Represent 1/7 with Egyptian symbols 9. Write as a sum of unit fractions: 3/8

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Q: 40. Toys Belkis is pulling a toy by exerting a force of 1.5 newtons on a string attached to the toy.…

A: Let a force F is applied to an object with an angle x° to the floor. Then horizontal component of…

Q: Find the nth Maclaurin polynomial for the function. f(x) = e P(x) = n = 3

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Q: 3 [(5x² +9) dx 0 3 (1) (5x² +9) dx = (Type an integer or a simplified fraction.) 0

A: ∫xndx=xn+1n+1+c∫03(5x2+9)dx=5∫03x2dx+9∫03dx

Q: Use the sign chart for f" to determine intervals on which function f(x)= √√x is x-2 concave down or…

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Q: Compute the average value of f(x): = Average value = X 1 4x + 3 on the interval [2,6].

A: Given query is to find the average value of the function.

Q: K Evaluate. 0 1 (2x² + 8) dx (2x²+8) dx = (Type an integer or a simplified fraction.)

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Q: 26. Use the limit definition to compute f(x) if f(x) =12x²+2.

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Q: 7π Graph the point with the polar coordinates 3, 4 Give two alternative representations of the point…

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Q: Use the Fundamental Theorem to evaluate the definite integral exactly. 1," 16 5 Enter the exact…

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Q: Express the number as a ratio of integers. 3.805 3.805805805...

A: Given 3.805¯

Q: K Evaluate. b √3x³x 1²³x²0x=0 a

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Q: Calculate the flux v out of the ball x² + y² + z² = 1 given that v(x, y, z) = 3zi+2yj+2 zk. a) 28T…

A: Please see the below picture for detailed solution.

Q: (D4 + 5D²+4) y = cos (3x +4)

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