(Inºx– 3lnx) *dx

Q: Let z = ety, where x = Vuv and y . Find dz in terms of u and v.

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Q: The population of a city is 145,000. It declines continuously by 3% per year. Assuming this trend co...

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Q: In-(Ine") dx A Inx 8 In'x © Inr? Ine E) None

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Q: for 2 sin (xy t 22) W ニ

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Q: Evaluate the integral

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Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had reache...

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Q: Which of the following is equivalent to the inteerand of (sin( Inx ' ) -dx? 7cos (In(x7))+ cos(In(x7...

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Q: Evaluate: J(3x + 1)2dx (Зх+

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Q: eV dr S- + 2ev +1 A -2 dr D) None B.

A: To write the equivalent integral. 

Q: 49. V sec /

A: Given query is to the derivative and dou ke derivative of the expression.

Q: (Inºx– 3lnx) +dx A Inx B Inx In'x (D In°x – 3lnx (E) Inºx- 3 (F) None

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Q: (0)

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Q: In Exercises 20–21, find a formula for the derivative using the power rule. Confirm it using differe...

A: NOTE: Refresh your page if you can't see any equations. . take derivative (using power rule)

Q: x²-x+1 -dx. Evaluate:

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Q: Which of the following integration expression can't be transformed into integral of power Ju"du). @ ...

A: In this question , we can check which integral transformed into ∫un du.

Q: car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a con...

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Q: 3 sin 2 tsin2tdt (A) sint 3 (B) sin 21 (c) cost D sin2t E) None

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Q: Secoslsin-ta)av

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Q: Problem 2 Suppose that a refrigerator manufacturer determines that its cost, in dollars, of producin...

A: Given query is to find revenue and marginal revenue function.

Q: The integ ral csc(0.5) dx is equal to

A: Follow the procedure given below.

Q: patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 7​% of the dru...

A: Given query is to find the rate of change after 6 hours.

Q: 1 1 dx За? + 5а - 2 0.

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Q: 5e2*dx 9ex – 6e2* + 1 (A 3e 2x B 3e2x – 2 (©) 3e2x – 1 D 9e 4* – 6e2* + 1 E None

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Q: The population of a city is 140,000. The city declines continuously by 4% per year. ...

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Q: cos0 + tan@ ) đo | (secô + tandsec²0)d0 cos²0 со A) True B False

A: On solving this integration we will get

Q: 3x4– 5xe* +2xcos(x) Evaluate: -dx A x3 - 5e* +2sin(x) + C В х3 - 5e*- 2sin(x) + С 3x4 5ex + 2sin(x) ...

A: The given integral is; [3x4-5xex+2xcos(x)]/x.

Q: `In²(Ine*) dx (A) Inx B In'x Inx2 D Ine" None

A: integration

Q: Find the derivative of y with respect to x. 1 y = In x/x+5 dy dx II

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Q: 3 + 2xCoS (x) Aト 3x-5xe^

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Q: -2 X Given f(x,y,2) sin (z²y), show that fxyuy = fyxy %3D %3D

A: Given:- f(x, y, z) =e-2x sin(z2y)  To prove:- fxyy = fyxy

Q: Show u and du. Show solution

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Q: where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y ...

A: here,  y=acc+12dydc=-ac2+11ac-12a(c+12)2  

Q: AP37. The production function f(x) gives the number of units of an item that a manufacturing company...

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Q: r nosへSう'" ( メンン 2 COS(SIn (x))

A: Let, cos(sin-1x)=t⇒sin(sin-1x) 11-x2dx = dt⇒x11-x2dx = dt...(1)

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug...

A: Given query is to find rate of change after 8 hours.

Q: By considering different paths of approach, show that the function has no limit as (x,y)→(0,0). f(x,...

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Q: Calculate the volume of the solid obtained by rotating the region bounded by y = x2 + 1 and y = 3 – ...

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Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 20x + 0.5x2 - 0.002...

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Q: tan ( tan3x) dx Evaluate: cos?3x

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Q: Find the derivative of y with respect to t. y = t(In 1t)2

A: The given function,  y=t ln 1t2

Q: Evaluate the following. Round angles to the nearest tenth and all other values to the nearest hundre...

A: Given query is to eveluate the expression.

Q: / ye(2r") 2y2 dy

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Q: S- 5e2*dx 9e 4x - 6e2+1

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Q: Se 2x2+ 2х +1 dx. х+1 Evaluate:

A: We will solve the integration. 

Q: Name: Find the Dxy by implicit differentiation of the following 2.) x³ +y3=8XY

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Q: a'+Vi 8. f(t)D За + 5

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Q: f [Mesin(2x) dx = e$in(2x) + C, then the M is equal to- If

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Q: Find all values of e for which sin [e=0] . What pattern do you observe in the values for 0 ? Graph t...

A: the given equation       sin θ=0 on the interval -2π, 2π

Q: S dx 4+e*

A: follow next step

Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilater...

A: It is given that, the length of the wire = 36 in. It is cut into two pieces. Let the length of the o...