Using an operator , solve the following differential equations d2y/dx2- 10dy/dx + 25y= 0

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Q: Find the area of the region bounded by the curve y2 = 4x and the lines x = 1 and x = 4

A: We  re asked to find the area of the region.

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9.

A: We will find the area of the region. 

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Solution is given below:

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Q: Find the derivative of the function. %3D y = /x(x – 3)² y' =

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Q: What is the integrable form of dx? du u2 du np u²) 2 du

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Q: I. Solve the following: 1. Given: y = 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x? = 144, find y" ...

A: Given  1. y=2x-13+43x-2 if x=22. 3x+4y3=5 If (3,2) To find slope m:

Q: 8969 2. find 121 detA)? OY

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: e* What is the integrable form of dr? ex - e du du 1) 2 du du

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Q: Question d15 Find dx15 (-5 sin (x) + 13 cos (x)). Provide your answer below: d15 (-5 sin (x) + 13 co...

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Q: In (ale) (2– sec²x)«m#/c°sec³x sec(3A – x) What should be the value of A for dx to be integrable usi...

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Q: FIND THE ARG CZ) OF THE COMPLEX NUMBERS 2

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Q: What is the integrable form of sin-cos-sin0 do 2 2

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Q: 18. Which of the following integrals is equal to the integral s(3x-5) dr? 3ו7. A. 2 |dz 3 В. -2 f(2)...

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Q: dx Evaluate 3x – 12 O - 00 + 00 1

A: Let's find. 

Q: Given a curve Determine the unit tangent vector, T, the principal unit normal vector, N and the bino...

A: A

Q: a The general antiderivative of ( 3x2–4)2x2 can be written as -x +C. What is the value of the sum a ...

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Q: What are the radius and center of the circle that passes through the points (2,0), (18,0), and is ta...

A: From the equation of the tangent line we can deduce that the slope of the radical line would be -1/4

Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20) x...

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Q: Given cost function C(q)=q3−125q2+2600q​, what quantity minimizes average​ cost?   It would be enter...

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Q: dx 14. Evaluate Зх — 12 A.ο В.1 00 D.0

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Q: cos2x – sin2x cos2x For -dr=-F(x) + C- What is F(x)? cosx - sinx 3 1 (A) (sinx – cosx) - B (cscx- se...

A: We have to find the F(x)  First we have calculate the indefinite integral

Q: e In (xle ) (2– sec²x) sec(3A – x) sec³x dr What should be the value of A for to be integrable using...

A: integration by substitution method 

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) -1 + - -1

A: Solved below

Q: =[in(4-x cos (r4

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Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: Given Cost and Revenue functions C(q)=q3−8q2+52q+5000 and R(q)=−3q2+2500q​, what quantity minimizes ...

A: Minimize marginal cost

Q: sin-cos-sino dO? 2 2 21. What is the integrable form of А. sinu du -2 В. c. ?/. cosu du с. D.

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Q: What is the answer for this Verify that the function satisfies the three hypotheses of Rolle's theo...

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Q: 2. Let by = cos and cn = cos for all n e N such that n > 2. Determine whether the given n – 1 series...

A: Using Telescoping series. 

Q: Find the derivative of the function. 3. 2x2 - 5 =イ 4- x %3| y' = ||

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Q: Find the center of the circle 4x? + 4y?+ 24y – 4x – 35 = 0. O (3, 1/2.) O (3/2, -3) NONE OF THESE O ...

A: Given the equation of circle  4x2 + 4y2 + 24y + 4x - 35 = 0 We need to find centre of circle. As we ...

Q: 7h] = v(t) lim ( h >0 /h] = a(t) = lim [ h>0

A: Topic = Algebra

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: What is the equation of the circle that passes through points (2, 3), (6, 1), (4, –3)? x? – y? – 6x ...

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Q: cos2x – sin2x cos2x dx3D -C. What is F(x)? For cosx – sinx

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Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24 squar...

A: Given y2=4x X=1 and x=4

Q: sias The integral cost -e de may be written as me' +px+ ge" +C• where m, n, p, q. r, and C are const...

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Q: 4. Determine the directional derivatives of $(x, y) = tan"2+3 sin ). at the point (1,1) in the direc...

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Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

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Q: Make a problem solving question with full solution regarding area of circle. Include a graph, diagra...

A: Let's  find maximum  area a  cow ? can graze  for above problem.

Q: Question 5 d?y dr 2 =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation...

A: We have to find the curve

Q: Which of the following is an improper integral? -dr -4 x² – x – 2 In(x++ 1) dr dx 2 2x + 8 In3e COSK...

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Q: ch of the following integrals is equal to the integral / f(3x-5) dx? ) dr? 7/3 ) dz

A: Please refer to the image below

Q: Determine the convergence or divergence of the following series. 1 (a) Σ (Use Integral Test.) n(ln n...

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

Q: Which of the following integrals is equal to the integral f(3x- 5) dr? -2 7/3 f(2) dz |dz 7/3

A: We have to change the integral limits by substution.

Q: 2744 A computer is purchased for $2744. Its value in dollars after t years can be approximated by V(...

A: We will solve the first part of the problem bu putting t=3. And for second part we will derivate the...

Q: O Use the divergence theorem to evaluate F-dS, where F (x, y, z) = zxi – e"j+ 4zk and S is the surfa...

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