7. SYVY² +9dy 5-2 8. S (5-1)(s-5)(s+3) ds

Q: y=4x-x², y=x

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Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: Let's practice on how to complete the square because this will help us to identify whether the given…

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Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: Which of the following is TRUE about logarithms and logarithmic functions? i. The argument…

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Q: 4 2. y =,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n C. u. )

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: (c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is…

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Q: Find the vo lume oF the solid OF revolution when the regiON bounded by y = x +1, the solid X-axis,…

A: Given problem:- Find the volume of the solid of revolution when the region bounded by y = x + 1 the…

Q: Q1): Find the point (x, y, z) that lines on the plane x +y + 2z = 4 that is nearest to the origin.

A: This question can be solved using the concept of distance of point from a plane in three dimensional…

Q: Find the derivative of y = Arccot (tan 2x).

A: The objective of the question is determine the derivative of the given function.

Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

Q: dy without first solving for y. dx Use implicit differentiation to find - 28x4 + 10x2y + y* = 8 dy…

A: The given function,    -28x4+10x28y+y4=8

Q: in terms of x and y for the points (x, y) A5. (a) Use implicit differentiation to find that lie on…

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Q: Find the area of the region that is enclosed between y = 11x? – 2³ + x and y = x? + 25x. The area is…

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Q: dy 8. Solve the initial value problem of (sin x) = y cos x = x sin x. dx

A: Given that sin x dy/de +y cos x = x sin x Or     dy/dx +y cot x = x Which is linear I.F. =…

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: Let D be the region that is bounded by the surface z = x + y² and the plane z = 4. ,2 a) Find the…

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Q: Find T, N, and k for the space curve, where t>0. r(t) = (5 cos t+ 5t sin t)i + (5 sin t- 5t cos t)j…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: Write a in the form a = a-T+a,N at the given value of t without finding Tand N. r(t) = (3e'cos t)i+…

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Q: Evaluate the integral: S2 (2x + 6) dx Input answer as decimal. Round off to 2 decimal places.

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Q: rounded to the nearest hundredth as needed.)

A: We have to find the producers surplus according to the given information

Q: x/2 dy 2. -y=e

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 4 Evaluate f². dx 4-x*

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Q: Evaluate the integral: t3 Express your answer in decimal. Round off to 2 decimal places.

A: I have stated the used formula in the solution

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists of…

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Q: Problem 1 Solve the inequalities and sketch their graphs on the real number line. (a) 4r – 6 > 10…

A: We have slove inequality  As per guidelines we have to solve 1 question if you need please repost…

Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 50L0ºK®1 where L is…

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Q: Evaluate [², dx V4-x2 2.

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Q: (2r+1)dr 5. S r2+2r+1 3r+5

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Q: Question 3 Vx2 + 4dx 2²+4 Vx² + 4+ 2 In + C ava? + 4 +2 ln + C eva? +4 – 2 ln +C -글av고 +4-2n +C «…

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Q: Evaluate the integral: Si (1+ 3 dx x2 Express your answer in decimal. Round off to 2 decimal places.

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Q: Find (6x+5) dx. (6x+ 5) dx%3D

A: Note that: ∫xndx=xn+1n+1+C

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=x² and…

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Q: 2.xy x² – y? Show that - = 0 if z= Tan

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Q: C. Solve as indicated. 2. Find the first 10 terms of a sequence in which the fourth term is 114 and…

A: Let us consider an A.P series with first term= a and common difference=d  Then the nth term =…

Q: || 21*y dA, R is bounded by the parabolas y = 3r* and y = 16 – r*.

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Q: a) Find the triple integral xdV.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Evaluate the integral: 2T So * cos? (0)d0 *Input answer as decimal round-off to 2 decimal places

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Q: Q2: State and prove the first isomorphism theorem.

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Q: Find dx in each of the following. dx2 x= e' cost b. y=e' sint a. y = t-1

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Q: The volume of the solid obtained by rotating the region enclosed by y = 12, T = 2, I = 6, y = 0 |3|…

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Q: Evaluate f e 1 dx 3 x

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Q: x/2 2. dy Sin x dy +34 2- X 2

A: A detailed solution is given below

Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: Topic:   Linear Equation problem Here is the answer

Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

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Q: Fill in the blanks: The derivative of a product of two functions is the first function times the of…

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