Evaluate the integral and choose the correct answer. [x²³m.x x² In x dx

Q: Find the area enclosed by the polar r = 2 (1+sine) Curve

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Q: company

A: Please refer to the image below

Q: Explain why if a runner completes a 6.2-mi race in 33 min, then he must have been running at exactly…

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Q: cos^2(2x) - sin^2(2x)=0. Is it a identity and how can you tell.

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Q: Use right hand rule to find area under the curve   f(x)= x2-x on interval [1,3]

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Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.016 per…

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Q: Consider the following function. f(x)=√x-9, x> 9 What is the domain of f? (Enter your answer using…

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Q: The power series xn What is the power n! series representation of e(-²) ? ex is n=0 n=0 n=0 None of…

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Q: 1- Maryam sits at the point on the curve y=(×+2)? where the normal to that curve is parallel to the…

A: 1st question's answer: If Maryam sits at the point on the curve y=x+2, then it's normal won't be…

Q: Use integration to find the area of the rose curve r = cos 20.

A: Area bounded by the polar curve Area=12∫ab r2 dθ

Q: Evaluate O 10 • 4 5 9 2z plny Մ » 0 -T ye dædy dz.

A: To evaluate the integral.

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. 4x -…

A: we use the maclaurin series of sin x to find the maclaurin series of the given function

Q: Find the slope of the tangent line to the curve - 4x² - 2xy + 3y³ = | at the point (3, 1). - 33

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Q: potential

A: Please refer to the image below

Q: Find the exact arc length of the curve r = e from 0 = ln 2 to 0 = ln 8.

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Q: dy Solve the differential equation: = A - By. Find the general solution to the dx differential…

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Q: Find lim (√2-t, et-¹, In(t + 1)) t-0

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Q: da Find at z = 4 if y = 4z² - 1 and dt da dt 11 > Next Question dy dt = -5. 11

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Q: Find the right match for the following ODEs in the dropdown menu y' = y" JS sin(x) 5xy' = y - 3x²y"…

A: This is a problem related to differential equation. Please find the answer as below.

Q: Solve the differential equation: dy = A - By. Find the general solution to the dx differential…

A: We need to find out the general solution and particular solution for the given differential…

Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 x=y³ 0.5 x = y² 1 (1,1) X 1.5 C The area is

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Q: Consider the region in the fourth quadrant between the circles x² + y² = 4 and x² + y² = 25 and…

A: answer is in next step. please give a like !!

Q: (-9) Σ 5 0 = 1

A: The answer is given below:   Ration Test

Q: Find the divergence of the vector field F(x, y, z) = ln(x² + y²)i + xyj+ln(y² + z²)k. 0 21 2z x² +…

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Q: If f(x, y) = ecosy, then find Ꭷ f Ꭷ2 f + Ox2 " dy2

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Q: 4. I Find the general solution of the given system: dx1 dt dx2 dt = 7x1 +4x₂2 =-3x1-x2

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Q: Given the following differential equation: y' − 2y = (e^3x)/((e^x) + 1) and the following boundary…

A: Given the following differential equation: y' − 2y = (e^3x)/((e^x) + 1)

Q: The eigenvalues of a square matrix A are the numbers À for which the matrix A-XI is regular.

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Q: Question Find the change in volume dV if a circular cylinder with radius r (Round your answer to the…

A: Volume of a circular cylinder is V=πr2h

Q: If y = f(x), f'(x), (f(x+h)-f(x)) and slope of the tangent to the curve of f(x), h lim h→0 they all…

A: if y = f(x) Then,  By first principle of derivative

Q: The traffic flow rate (cars per hour) across an intersection is r(t) 200+600t 120t², where t is in…

A: The traffic flow rate across an intersection is rt=200+600t-120t2, where t is in hours and t=0 is 6…

Q: Find the Taylor series generated by f at x=a. f(x) = 5x , a = 7

A: We have to find Taylor series of f(x) =5x about x=7. Let us see first what is Taylor series…

Q: Find the explicit solution of the initial value problem: dy dt 3 4ty+y y(1) = -5

A: We can find the solution as below.

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Find an equation of the plane. the plane through the origin and the points (4, -5, 2) and (1, 1, 1)

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Q: √64-² S.S. - In (x² + y² + 1) dx dy = ₁₂ dr dr de

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Q: Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented…

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Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

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Q: 4 In the following differential equations, test for exactness and determine the solution of each: 1.…

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Q: 1. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + z² = 6.

A: f(x,y,z)=x+y-z   x2+y2+z2=6 Rewrite it as: x2+y2+z2-6=0 L(x,y,z,λ)=(x+y−z)+λ(x2+y2+z2−6) Find all…

Q: log₁ (3)

A: The given logarithm log449

Q: Let f(x) = 14x + 6 - 17e. Then the equation of the tangent line to the graph of f(x) at the point…

A: The given function is fx=14x+6-17ex we have to find the equation of the tangent line at the point…

Q: Problem 02: (a) A predator is flying at a constant speed along with a constant height of 100 m that…

A: Given data:- Flying height of the predator from the ground level is 100 m Angle between the predator…

Q: For the function f(x) = 3x² −x³ – 4 where −3 ≤ x ≤ 3, complete the following. 1. Find f' and f". 2.…

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Q: QUESTION 9 Use the information given about the angle 8, 0≤ 8 5 2π, to find the exact value of the…

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Q: Find the average rate of change of the function over the given interval. f(t) = 2t² - 5, [3, 3.1]…

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Q: Consider the function f(t) = 4 sec² (t) — 8t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: find the integration?

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

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Q: xydx + (x^2+y^2)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A: Please see the below picture  detailed solution.

Q: Question Find the change in volume dV if a circular cylinder with radius r = 8 changes height from 7…

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