Q1) Find 2/3 dx a) Jas x*/9x² – 1 V2/3

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A: Here we have to calculus the producers surplus for the supply function p(x)=3+0.01x2 at the sales…

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A: integration

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

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Q: (-2,2), Consider graph on the left side, de termine if the function f(x) is continu (0.1) ous on the…

A: From graph1) f(x) is continuous on-1,22)  Since f(x) is not continuous at x=3      ⇒f(x) is not…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: The differential equation that describes the given model can be solved by using the variable…

Q: Sx*e-2x dx A -2x (2x +4x3 + 6x2 + 6x + 3) + C e-2r (2x* + 4x3 + 6x2 + 6x + 3) + C В - 4 x*e-2x -…

A: Please see the answer below.

Q: Let y = f(x) be the solution to the differential equation initial condition f(7) = –4. What is the…

A: Find your answer below

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Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x) – cos (2x) 2. y =…

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Q: A curve is defined by the parametric equations x = sint, y = 1– cos t, 0 <t< 27.

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Q: If f(x) = 2x - 1, what is the equation of the normal line to the graph of fat (1, 1) O A. x - 6y = -…

A: 1) f(x)=2x3-1 at (1,1) 2)f(x)=g(u) and g(u)=u(x).

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A: We have to find the equation of tangent plane

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A: By the knowledge of permutations and combinations we can approach this type of problems.

Q: State whether each of the following series converges absolutely, conditionally, or not at all. n²…

A: A series ∑an is called absolutely convergent if ∑ an is convergent . Limit Comparison Test :   If…

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Q: Solve using an appropriate method on First Order Differential Equation. Show complete and detailed…

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Q: If R is the region æ² + y² < 4, then Sp(æ² + y³ ) dA = S* L r² dr d0. 2

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Q: 5. у 6. уд 4+ y - 8x /y =x y- + 2| x= 3 4 3- = x i 2 3 2. 2. 4. 3. 2.

A: Note:- As per your demand we solve question 5 and 6 for you  Given problems:- use the method of…

Q: Consider the following. -2 ifx -1 if x = -1 fix) = -2 y -2 -1 <-1 -3 Use the graph to find the limit…

A: We need to find limit at x→-1.

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Q: Determine whether each improper integral below converges or diverges. a dx 2. S Vax – x 2

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A: Given

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A: Please see the answer below.

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Q: 2. Let a, b e R and let f be the function Z + Z defined by f(z) - ar + b. For which values of a and…

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Q: Consider the points A(1, –3, 4), B(2, –5,2), C(-1, -4, 2), and D(2,3, –5). (a) Find the volume of…

A: We have to solve given Questions.