Q4. Determine the first moment of the shaded area with respect to a axis. The equation of the curve is x²=9y.

Q: Evaluate 2 ²4x² 0 Answer: 4x³ - 2x + cos(x) dx. Note: If the answer is not an integer, round your…

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Q: Find equations of the two tangent lines to the graph of f(x): x2 that pass through the point (-1,…

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Q: 1 17. If the function x² - 4 constants A and B respectively are: 1 1 4 A. A: = B. A = 1 4 B B 1 4 is…

A: Use partial decomposition

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) Σ…

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Q: Find the exact value of the expression below sin (sin ¹(-)) O a) √3 2 b) √2 c) 0 ○ d) 1 e) undefined

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Q: uppose Jesse deposits $500 every month for 30 years into an IRA earning ompounded monthly. What…

A: Topic:- algebra

Q: 35. Find the exact value of the expression. (3)] Select the correct choice and fill in any answer…

A: We can answer the question as below.

Q: Use the Laplace transform to solve the given initial-value problem. y" - 5y' = 8e4t - 4e-t, y(0) =…

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Q: 2.: Select the correction choose. A) Using two iterations of the Simple Iterative Method, find the…

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Q: 43. If you use the ratio test on the divergent series inequalities will result? +1 > 1 A. lim B. lin…

A: The objective of the question is checking the divergent of series.

Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin ,…

A: Given  f(x) = sin x4,   0, 8π We have to find the point of inflection and the concavity of the graph…

Q: Find L{f(t)}. (Write your answer as a function of s.) f(t) (8, 10, L{f(t)} = = 0 4 (s > 0)

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Q: Sketch the plane curve. r(t) = 2ti - tj, [0, 2] -1 -1 y 2 1 -1 -2 y 1 -1 -2F 1 Need Help? Watch It…

A: The objective of the question sketch the given curve and determine its length.

Q: Differentiate F(x)= = [²7 7t² +4 +1 dt.

A: Given   F(x)=∫1x7t2t4+1dtTo Find: F'(x)

Q: Find the center of mass of the following plane region with variable density. Describe the…

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Q: B. Determine the general solution for each given higher order differential equation. Write your…

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Q: -2x 2. (D² + D − 2)y = e−²x + 3e²x

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Q: (d) At which value(s) of x, if any, does the graph of f(x) have an inflection point? (e) It is known…

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Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

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Q: Ə(x, y) Find the Jacobian Ə(u, v) 9u x = ₂y = u +4v V O 9u-36v 12 for the following change of…

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Q: Integrate 01-In x + C о √(5-2) x – 10 ln |x| X - - - 1 10 In |x| 2 25 Olnx-25x + C ▬▬▬▬▬▬▬▬ X dx. +C…

A: Topic = Integration

Q: The logistic equation models the growth of a population. 1350 1 +26e-0.95t P(t) = Exercise (a) Use…

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Q: Determine the integral of Int dt from t = 1 to t = e. C. 1 D. Ine² A. e B. O

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Inverse laplace

Q: To prove that: n²= 5k or 5k+1 or 5k+4 we use the following method: Division into cases. We need 3…

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Q: 17-22 Determine whether the series is convergent or divergent by expressing s, as a telescoping sum…

A: The objective of the question is determine the given series is convergent or divergent and find its…

Q: The demand function for a certain product is given by D(p) = O A. D'(p) = OB. D'(p) = 2,055 +198p…

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Q: If m≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: A system of equations is made up of an ellipse and a hyperbola. Part A: Create the equation of an…

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

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Q: We are given the following homogenous differential equation and pair of solutions on the given…

A: Given differential equation x2y''-7xy'+15y=0We have to verify that given function x3 and x5 form a…

Q: Find the logistic equation that satisfies the initial condition. dy dt 11y (0, 44) 20 1440 Use the…

A: Given.

Q: 26. [..? What does the alternating series test tell us about A. The series is converges absolutely.…

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Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.

Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the…

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Q: Sketch the plane curve. r(t) = ³ + 2₁, [0, 1] y 1.0 0.8 0.6 0.4 0.2 y 1.0 0.8 0.6 0.4 0.2 0.2 0.2…

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Q: Suppose a particle travels clockwise on a triangular path connecting the points (0,0), (3,1), and…

A: greens theorem

Q: 8

A: Given that          curve              r(t)  = 4t i^ +2t2 j^             we have to evaluate   the…

Q: nass function. a give Determine the value of c such that the function is a probability mass…

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Q: A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim_ (ti+ sin(t)j +…

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Q: Find two numbers a and b with a ≤ b such that has its largest value. (10 + 3x - x²) ¹/3 dx

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

Q: box the final answer

A: This question is related to error in area of triangle, we will solve it using given information.

Q: Q1. Find the derivative of the following functions. a) G(x) = ² et b). H(a) = √² -dt et + 3 plnx +²…

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Q: Find the unit tangent vector T(t). r(t) = t²i + tj + 20 T(5) = (10, 1) ✓101 eBook k. P(25, 5, 20/3)…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: 17. If the function x² - 4 constants A and B respectively are: A. A=- B: B. A 11 1 4 B is resolved…

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Q: (True/False) Let f(x, y) be any function of a and y. Then ff sin(f(x, y)) dady ≤7.

A: To check, ∫01∫07sin(f(x,y))dxdy≤7

Q: Given the demand function q = 398-3p, calculate the elasticity of demand when p = 79. OA. 2.7 OB.…

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Q: 4. lim -0 A. -2/2 B. 1 C. 2 h D. Does not exist sin

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