Find a bound for the error when approximating the series Round your answer to six decimal places. Provide your answer in the blank space: |R₂|< A n=1 5(−1)n+1 7n6 by S2.

Q: find the avg rate of change for the function over the given interval find the avg rate of change…

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Q: Use the Laplace transform to solve the following initial value problem: y" +9y= cos(6t) y(0) = 0,…

A: given y''+9y=cos(6t) taking laplace on both sides  L{ y''+9y}=L{cos(6t)} L{y''}+L{9y}=L{cos(6t)}…

Q: It is a fact that the function  f(x) =    25x2 + x − 5x  has a limiting value. Use a table of…

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Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = - y(0) = = -1

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Q: Determine the explicit formula for the n-th term of the sequence written below. Note that the first…

A: I am attaching image so that you understand each and every step.

Q: Suppose dP dt and P(1) = 4. Answer the following. 3) Separate the differential equation, then…

A: The objective of the question is evaluate the indefinite integral.

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Q: Use Stokes's Theorem to evaluate F. dr. Use a computer algebra system to verify your results. In…

A: Here,  g(x,y)=49-x2G(x,y,z)=z-g(x,y)

Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay 6 G Type…

A: Standard form of an ellipse : (x-h)2a2+(y-k)2b2=1 ; where , (h,k) is the center and a&gt;b .

Q: Use either integration by substitution or integration by parts as needed to evaluate S³= A B x²+1…

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Q: Problem 7. Answer: Find #L if y = 7x45

A: To find dy/dx at point x=1

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Q: CoS z 5,⁰ √1+4t2 dt, find F'(x) 11. If F(x) =

A: The objective is to find F'(x).

Q: Find the maximum and minimum values of the function g(0) = 30 – 7 sin(0) on the interval ㅠ [0, 1]. 2…

A: I am attaching image so that you understand each and every step.

Q: Evaluate the following limit using L'Hospital's rule. lim (ez + 2x) (+) x+0+*

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Q: Plot four points and an asymptote. Then click on the graph icon. -9 8 1-6 LA 15 19 I 84 I 1 1 KL 71…

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Q: If tan(x) Give exact answers. sin(2x) = cos(2x) tan(2x) = (in Quadrant 1), find Submit Question Jump…

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Q: Consumers' and Producers' Surplus The management of the Titan Tire Company has P = 152-x2 where p is…

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Q: Given sin a = 0.865 and sin = 0.693 with both angles' terminal rays in Quadrant-I, find the…

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Q: Use the Laplace transform to solve the following initial value problem: y" - 2y +26y=0 y(0) = 0,…

A: The given initial value problem is y''-2y'+26y=0, y(0)=0, y'(0)=5

Q: Use the chemical reaction model with a given general solution of y = y = 90 grams when t = 0; y = 12…

A: Solution of given question is written in below steps.

Q: lim I-4+ lim Х- 4 3x (x+4)8 3x (x + 4)8 II

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Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

Q: Question For the following graph of a function, estimate the area under the curve on the interval…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -5…

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Q: If the rate of change of N is inversely proportional to sec(x)- N where (-<x<). If N(O)=3, and N() =…

A: Note:- These are multiple questions and according to company guideline we can do maximum 1 questions…

Q: 68 3 (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to (2, 3, 1) and from (2,…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Given:    Maximize fx,y=8x+8xy+y    Constraint : 8x+y=400 Rewrite the constraint 8x+y-400=0 Form the…

Q: Evaluate the limit lim (x=2^+) = 1/x-2

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Q: Determine if the Integral Test can be used for the given series. 1 in= √4n+1 a) The Integral Test…

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Q: A goat that weighs 6 pounds at birth gains weight at the rate (a) Find the particular solution of…

A: Solution is given below:

Q: The graph below is the function f(x) Find lim 3 5 27 2- 1 IN 2→-1- P 03 -4- Find lim z+−1+ 1 2 3 4…

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Q: 4. Use the Fundamental Theorem of Calculus to evaluate [(-3) -

A: The objective is to find the integral using fundamental theorm.

Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

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Q: Which of the following is a nonhomogeneous A. (x-1)y"-xy' + y = 0 C. D³ (D²-4)y=3x+2e-3x linear…

A: Non-homogenous differential equations : If the differential equation have a function on the…

Q: Use both the washer method and the shell method to find the volume of the solid that is generated…

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Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. +57 +5 543-2…

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Q: Find the area between the graph of x = -2y + 5 and the y-axis on the interval [-1, 2). -2 2 4 P Find…

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Q: Given the g(x) function, what is the best estimate for the instantaneous rate of change at x=3? g(x)…

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Q: ow do you find the 70th derivative of f(x)=cos(x)

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Q: 1. Зл 2 π 2 cos² 4x dx

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Q: Apply the divergence test for the given series. ∞ n=1 - (n-4)² Select the answer that best fits the…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: 5. The general solution of (D² A. y = (C₁+C₂x)e+C3 C. y = (C₁+C₂x)ex+C3e-2x +2D+1)(D²+4)y=0 A) A cos…

A: To find out the general solution of the differential equation.

Q: Evaluate the geometric series or state that it diverges. Το 198 Σ k = 0 56 k Select the correct…

A: topic - geometric progreesion

Q: 4. ["s 0 sinx + 2 cos x dx

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Q: dP dt 3) Separate the differential equation, then integrate both sides. Suppose and P(1) = 4. Answer…

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: The population of a certain state from 2000 to 2010 was recorded. During that decade, the state grew…

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Q: Write the logarithm as a sum or difference of logarithms. Simplify e In 7 2 y + 3 4 e

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Q: defferentiate the function: y= ln((x^1/3)/(2x+1))

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