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Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. p…

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Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2 - x)

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Q: x³dx is equivalent to x² – 4 Using trigonometric substitution , A sec+0 do B) None © 8 C sin³e de D…

A: The given integral,        ∫x3dxx2-4

Q: If a company sells a product for exactly the price they are willing to sell the product for, then...

A: answer is in next step

Q: Use the quotient rule to find the derivative of the given function. Then find the derivative by…

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Q: Sketch the region whose area is represented by the iterated integral. dyds un

A: Option C is correct.As lower limit in inner integration is tanx2 which you can see in the graph.if…

Q: x'y" – xy' + y = In(x)

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Q: Use a double integral to find the volume of the region under the graph of f(x, y) = xy and above the…

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Q: Write an equation for the ellipse that has vertices (+7, 0) and co-vertices (0, ±6). Provide your…

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Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: ydy can best be evaluated by algebraic substitution. A) True B) False

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Q: ydy can best be evaluated by algebraic substitution. A) True B) False

A: We have to solve above question and find true or false

Q: Consider the following functions. f(x) g(x) = 8 sin x = 8 cos 2x | 2 6

A: The objective of the question is evaluate the area of the given bounded region.

Q: x++ dx 1.

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Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $546 each for 83…

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Q: t cos t?dt can best be evaluated by: A Power Formula B) None (c) Trigonometric Transformation D…

A: We have to find out

Q: Solve the following initial value problem by using the Laplace Transform method. y'' − y' = ex,…

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Q: 5+a 5 lim, 0

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Q: Here is a review question, do you remember how to find tangent lines? Find the equation for the…

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Q: The general solution of the differential equation dy/dx = 12x³ is y = 4x3 + C. Select one: O True O…

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Q: A rectangular tank with a square base, an open top, and a volume of 5324 ft is to be constructed of…

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

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Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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Q: Solve using Gauss-Jordan elimination. 4x1 - 7x2 - 5x3 = 41 X1 - 3x2 = 14 Write the system of…

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Q: 17) Find the area of the serface genereted by revolving tue curr X> 3t, y=2t about fue x-Qx's on tue…

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Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

A: Solving the problem by finding the value of integral.

Q: 4.Graph one cycle of function given below. State domain, range, period, phase shift, vertical shift…

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Q: Find V x (V x F) if F(x, y, z) = xyj+2xyz k. V x (V × F)

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Q: The region R lies on the lines x – y = 8, x + 7y = 8, x - y =| and x + 7y =

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: Please do it right

A: We have to solve

Q: A tank contains 3 kg of salt dissolved in 430 L of water. A salt solution of 0.01 kg salt/L is…

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Q: S" cos de 4. 2 dx .2 -1 1+x² 5.

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Q: You are going to build a rectangular shed. You will put four walls around the shed and leave an open…

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Q: Let f (æ) = (In(z³ + 1))". Find the slope of the tangent line at x = 1. (Give your final answer as a…

A: The slope of tangent to a curve y=f(x) at a point x=a is given by f'(a)

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t-+∞\ 2t2 + 3' 4t (?, ?)

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Q: cIn2 e*dr = } 1 So Select one: O True O False

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Q: Refer to the graph below. Find the producer surplus for the supply function, S, when x=20. Hint:…

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Q: Use the Derivative of the Inverse Theorem to calculate g'(x), where g is the inverse of f. f(x) x +…

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Q: - 0.26t ng If C(t) = 53.3t e measures the concentration, in of a drug in a person's systemt hours…

A: Given query is to find the time when concentration will be maximum.

Q: Assume lim f(x) = 14, lim g(x) = 6, and lim h(x) = 5. Compute the following limit and state the…

A: We can answer and explain the answer as below.

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation…

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A: Given , dy/dx = x2+2x-4 We can get y by integrating.

Q: L3x²dx = 65

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Q: S- (1+x²) = x*dx Using trigonometric substitution, tan ode A sece sin Ode B cose S tan od0 sec20 sec…

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Q: (e) for tue ginen point in poler coordiinetes , fird tue comespandy ctenquler Coorelinetes fer tue…

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Q: d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: 8n 4n2 n = 1 + 1 f(x) = converges O diverges

A: Given query is to find integral converges or diverges.

Q: olve the following differential equations of

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