Using appropriate substitution, [sec (2x) – 1] tan(2x) dx is equal to

Q: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis.

A: Given xy=6        x=2 to x=4To find volume:

Q: 21. 3* 3=*-x+'(12x² – 4) dx

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Q: Given: a = 22, c= 24.1, zB = 6T C a A Solve the triangle. (Do not round until the final answer.…

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Q: dx Which of the following functions satisfy the differential equation = x? dy O x= e o y= e* O x=y O…

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Q: A jet is flying through a wind that is blowing with a speed of 50 mi/h in the direction N 30° E (see…

A: --------------------------------------- Wind velocity: velocity: 50mphDirection: 30° with…

Q: P1: |x? cos-1 x dx X* cos

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Q: /2x+1 dx i fx(x* +1)' dx

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Q: dy Use implicit differentiation to find dx 2x - 5 3y? 2x +5 dy dx

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Q: Change from cylindrical coordinates to rectangular coordinates 0 =- 3 O None of the others O y = -3…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the equation of the tangent line at the given point on the following curve x* +y° = 8. (– 2,2)…

A: The equation of of tangent to a curve f(x,y)=0 at a,b is (y-b)=dydx(a,b)(x-a)

Q: Determine whether F(x, y) = 3xi + 7yj is a conservative vector field. find a potential function for…

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Q: 3. Which of the following integrals requires integration by parts? A. S csc°0 de B. S cot*0 csc*0 do…

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Q: What are the coordinates of the point on the graph of Ax) = (x+ 1)(x+ 2) at which the tangent is…

A: solution:-f(x)=x+1x+2      =x2+3x+2slope of tangent=ddxf(x)                             =ddxx2+3x+2…

Q: For the differential equation (x? – 9)y" + (x – 3)y' + 2y = 0, a regular singular %3D point is: X=9…

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Q: Use the chain rule to find the derivative of f(x) = 6/3x + 5x10 Type your answer without fractional…

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Q: 12. y" +y = séc' x tan x.

A: Let's find.

Q: (2x2 + x -3) * (x + 1) a = [21-3]; b = [1 1]; find conv (a, b)

A: Given :2x2+x-3*x+1

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

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Q: Find the limit as x approaches c of the average rate of change of the following function from c to…

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Q: EQUATIONS DEPENDENT VARIABLE 5y (y/) = v sin e [Sclect ] - yy" + 2x tan a [ Select ] 3. [ Sclect] 4e…

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Q: For the following function f(x), find f(0) and f(2). if xs0 x2 f(x) = if 0 <x<2 x+3 if 2sxs4 4-x…

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Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

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Q: 2. Calculate the area enclosed by the graph of y = x + 2x? - 5x - 6 = (x + 1)(x – 2)(x + 3)

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Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: We have to find the angle of the largest right circular cone which can be inscribed in a sphere of…

Q: Express the limit as a definite integral on the given interval. -Дх, [1,4] (x;)2 + 9 lim i = 1 dx

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Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

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Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x? such that f(0)…

A: The given problem is solved below in detail..

Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

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Q: Ssec10dE

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Q: Find lim f(x). lim X--6 X-6 (Type an integer value.) (-6, 2) -2, 2) -12 -6 2, -2 (- 10, -4)

A: solution:-right hand limitlimx→-6+f(x)=0 f(-6)=0

Q: y= Arccos(e2x)

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Q: Given the series E n10 Which one of the following gives lim n=1(-10)+1 Select one: 3 10 1 None of…

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Q: By writing the summation of the two power seriesE 2nc, x"+ E 6c,x* 0, we obtain: Ze + o[2(k + 1)ces…

A: We have: ∑n=1∞2ncnxn-1+∑n=1∞6ncnxn+1=0...(1)

Q: The general solution of the fourth-order differential equation y() + y" +y"-0 is: y=c_1 +c_2…

A: The given differential equation is y(4)+y'''+y''=0 ................................... (1)  Let…

Q: (c) Find marginal profit at q = 500. 10 Explain what it predicts. The total profit will increase by…

A: Apologies for the inconvenience.   #c) We have found that marginal profit at q=500 is 10.  It means…

Q: Solve the equation (y - x + xy cot x)dx + xdy = 0

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Q: The differential equation (x²y-2x- 3)dx+ 2dy=0 O Linear in y Linear in x O Homogenous O Exact

A: Given a differential equation

Q: A ladder 42 feet in length rests against a vertical wall of 36 feet in height. What is the measure…

A: Given query is to find the angle of elevation.

Q: 9 5+ 8 g(x) 7- 4- h(x) 3- 5- 4- 2- 2- 1 1 2 3 X-values 3 X-values 1 g(x) , then h(x) If f(x) f'(3) =…

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Q: 1. Find r(9/2)=? 2. В (3, 2) %3D?

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Q: y5 + 2y = x² a. b. 5x – 4y? = + 9x?

A: a. y5+2y=x2b. 5x-4y2=xy+9x2

Q: S V9x² + 64

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Q: 2x+5 Зх +1 5) lim 2х+5

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Q: is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

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Q: Complete the equation. V-14x ). arccos X- 7 = arctan 7 <x < 14 7

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Q: 1. A soccer ball is kicked with a speed of 75 mph at an angle of 30° from the horizontal. Write the…

A: Given query is to find the velocity components.

Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y –…

A: Option A

Q: Solve the differential equation dx + xdy = x?e dy. %3D

A: Given dx+xdy=x2eydyTo find solution of differential equation:

Q: For the following.problems, you need to provide a clear and detailed solution. Work Problem 1 i- :):…

A: We can solve this as follows: