y = tan In(x + sin x) %3D y = sin x + In sin e* %3D

Q: INTEGRATE THE FOLLOWING FUNCTIC PROBLEM 1: int. sin^3 y cos y dy

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Q: 10 8 4 6. 2. 2.

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s)....

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Q: The following situation applies to the attached question The fluid pressure (in atmospheres) at the ...

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Q: cubic meters 2. The volume of a balloon is increasing at the rate of 15 and the balloon has an initi...

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Q: In Problems 25-32, use L'Hôpital 's rule to find the limit. Note that in these problems, neither alg...

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 27 dx +C %3D

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Q: 1. 2y" – 7y" + 12y + 8y

A: Solution

Q: 18. Identify the surface that corresponds to the equation 100y^2 - 25x^2- 4z^2 = 1. show solution

A: It represents hyperboloid. 

Q: y = [x + (x + sin² 3x)°]

A: Given query is to find the derivative of the expression.

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos(÷)y, -2< ...

A: Let's find. 

Q: dt (b) z = x?y where x = st and y = t2 – s2 dz 2st?(t? – s?)? – 4s³t²(t? – s²) as answer: az 2s²t(t?...

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Q: Consider the function f(0) = 4 cos(20) + 2, where 0 is in radians. a. What is the amplitude of f? Pr...

A: Topic:- function

Q: What are the roots of the auxiliary equation corresponding to the DE y(4)+3y"+6y"+5y'+3y = 0? %3! Wh...

A: This is problem related to differential equation. Here first we will replace the differential operat...

Q: In each of Problems 1 through 4, determine intervals in which solutions are sure to exist. 3. (x−1)...

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Q: c. tan

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Q: Evaluate the integral. – 17e +C dx

A: Based on the general formula used for integration we will evaluate this integration problem. Integra...

Q: Use the method of cylindrical shells to find the volume v generated by rotating the region bounded b...

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Q: 2. Sketch the region of integration and evaluate the following integral by re- versing the order of ...

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Q: Identify (a) the point(s) of inflection and (b) the intervals where the function is concave up or co...

A: From the graph: the inflection point: (0,-1)  

Q: 10. The following equations are exact except a. (2xy – y)dx + (x? -x)dy = 0 b. 2xydx + (y? + х?)dy %...

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Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

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Q: For what function M(x,y) will the differential equation M(x,y)+(x² +x)dy = 0 be exact? а. 2ху — у c....

A: Given:M(x,y)dx+(x2+x)dy=0

Q: 20. What is the solution of (2x - y)dx + (4x + y – 6) dy = 0? a. (x+y- 3)° = c(2x + y – 4)² b. (x-y+...

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Q: Solve. The solution(s) is/are x = (Simplify your answer. Type an exact answer, using radicals as nee...

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Q: he population of a certain state​ (in thousands) from1990 ​(t=​0) to 2000 ​(t=​10) is modeled by the...

A: We have to find the average growth, growth in particular year and draw graph. 

Q: water heater that has the shape of a right cylindrical tank with a radius of 2 ft and ft is being dr...

A: Given thatRadius of right cylinder,r=2 ft, height ,h=6 ft dhdt=-1 ft/minTo find :dvdtSolution:Volume...

Q: Let g(x, y) = cos(x + 2y). (a) Evaluate g(4, −2).   g(4, −2) = (b) Find the domain of g. −2 ...

A: Let's find. 

Q: 7 du. Hint. Answer. 3. /1 u²

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

Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume c...

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Q: b. Which, if any, of the above changes in population can be modeled by a linear function? Show all w...

A: Given:   

Q: The solution to (2x – 4y – 3)dy = (x- 2y)dx is:

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Q: 13. Which of the following is the solution of [2x+ycos(xy) dx +xcos(xy)dy = 0 x² +cos(xy) = c b. x? ...

A: By see this solution in below

Q: Activity A. Evaluate the following limits: 1. lim 3* 2. lim 3* 3. lim 4* 4. lim 5* 5. lim (0.2)*

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Q: d. tanY

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Q: 11. For each of the following statements, determine if they are true or false. If true, explain why....

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Q: SITY Activity 3: Determine the equations of both tangent and normal to the curve: 1. y = 3x? – x + 1...

A: Question: Determine the equation of both tangent and normal to the curve. 1.y =3x²-x+1=0 at x =1 2.y...

Q: 3. y/" + 6y + 8y 3e-2 + 2x

A: To find out the solution of the given differential equation. 

Q: y = [x+ (x + ¯ sin² 3x)°]

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Q: az or and as dz az Using the given information, determine dt 3. at az = 2 ax az dx dy =1, ду (a) 4 %...

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Q: B In Problems 23-62, summarize the pertinent information ob- tained by applying the graphing strateg...

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Q: 12. For what function M(x,y) will the differential equation M(x,y)+(x² +x)dy = 0 be exact? а. 2ху- у...

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Q: x = Vt y = 1+ t2 1.. Given: a) Find the domain of the parametric equation b) transform to a Cartesia...

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Q: Evaluate. Show all your work and make sure answer is in simplest form. 39 dx (x+2)(x² +9)

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Q: Differentiate. f(x) = 3x(5x + 4)° O A. f'(x) = 3(5x+ 4) (20x + 4) O B. f'(x) = 3(20x + 4) OC. f(x) =...

A: Given query is to find the derivative of the expression.

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: 14. What is the particular solution of the linear differential equation y' = x° - 2xy; when x = 1, y...

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Q: Evaluate the iterated integral. SL" z dzdydz O 1 O 1/10 O 10

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Q: 4. y" +y = 2xsinx

A: The given differential equation is  y''+y=2xsin(x)

Q: х3+ 4x2-9х-36 3. У 3 4x2+28х+48

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