dif ferential equations I. (3x-y- 4) dy =( x +y -4) dx when X-3 y-1

Q: 8- 6- 4- 2. The graph of f(x) is shown in red. Draw the graph of g(x) = - f(x). -8 -7 -6 -4 -3 -2 Ma...

A: The graph of the equation f(x) is given , find the graph of  1) g(x)= -f(x)  2) g(x)= f(x)-3 .

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9. ... 32 А.) В.) 18 s.u. s.u. C.) 36 s...

A: Topic = Area Area = 36 s.u.

Q: + 4 y' - 12y = 4x3 d the Solutions to its Characteristic Equation aracteristic Solutions: R, = -6 an...

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Q: What is the value of a so that In (e* ) dx = 6 ? a A.) O В.) 1 С.) 2 D.) 3

A: Given: ∫a4ln(ex)dx=6    

Q: In Problems 63–68, find f' (x) and find the value(s) of x where the tangent lině is horizontal. 65. ...

A: The given function,  f(x)=x2x+52

Q: Suppose that f (x) is a continuous function, f(-1) = 6, f(2) = and f(x)dx: = -3 = T. Evaluate the de...

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Q: Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ElectroS...

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Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x2 + 10. ...

A: Given, P-profit x-number of units sold dP/dx= 0.0006x²+10  

Q: Question 8 ... (sin x – 1) dx + | (cos x + 1) dx = 4 C.) – 1 D.) - (1+) А.) —89 В.) —91 2 A A в) в D

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Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. So e VE dæ ...

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Q: /16 Evaluate the integral: dx 3x2 (A) Which trig substitution is correct for this integral? x = 4 se...

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Q: Find the domain of the function. (Enter your answer using interval notation.) 3x3 - 2 f(x) = x2 + 3x...

A: Let's find. 

Q: 5dx 5. If f 4 8 +1 = 2-, what is the value of b? a.) 2 b.) 4 c.) 8 d.) 9

A: We have to find the value of b

Q: 11.Determine the equation of the curve whose tangent line at any point (xy) is e* – sin x and passes...

A: Given problem:- Determine the equation of the curve whose tangent line at any point (x,y) is ex -sin...

Q: 6. Determine the value of the constant a for which the function g(x) is continuous at x = 1 x* + 5x ...

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Q: . Find the period and phase shift of each of 1 a) y = - cot(6x – 4) 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Jason needs 24 feet of fencing. The fencing is priced at $0.25 per inch. How much will it cost Jason...

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Q: 6. If f(x)dx = 5, f f)dx =2, and , f(x) dx = –1, find i f)dx. а. —2 b. 2 C. -3 d. 3

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: Substitution in the Indefinite Integral Part 1. Using the substitution: u = 10z² + 3z – 6. Re-write ...

A: Use substitution to integrate

Q: Question 16 dx What should be the rewrite of the integrand of S so that the resulting integral is in...

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Q: Find the general solution of the differential equation æyl + 2y! – (x + 2) cos (x) + y = 0 and choos...

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Q: 1100 462 The model for this set of velocity data is given by v(t) -0.03t . Calculating the instantan...

A: Given query is to find the instantaneous acceleration from the velocity.

Q: Evaluate the integral: 21/x² 100 dx x4 (A) Which trig substitution is correct for this integral? 10 ...

A: The given integral is: I=∫21x2-100x4 dx

Q: In what quadrant is the point that is 51 away from P(1, 0) on the unit circle? II IV II

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Q: (1+2 In æ)4 -dx

A: Indefinite Integration using substitution

Q: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in ga...

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Q: 20. Find the equation of the curve for which y" =x, and which passes through the point (1, 2) and th...

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Q: Evaluate f x+3 x3+27 dx.

A: Our Aim is to evaluate the integral given below:-∫x3+27x+3dx -(i)

Q: What should be the rewrite of the integrand of dx so that the resulting integral is integrable?. 4+2...

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Q: 5) 3tan-1x + sin-x = 4

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Q: Evaluate 10-Vx a. lim x→100 x-100 (-2x+4)²–4 1 b. lim 1 c. lim *+2 5 X-3 x-3 x-3 3-x

A: We know that a2-b2 = a+ba-b

Q: Substitution in the Definite Integral Suppose we want to evaluate the definite integral, 6 cos? z si...

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Q: d. lim g(x) Preview e. Use the graph of f(x) to write an equation for g(x). g(x) Preview

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Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

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Q: Find the length of the parabola given by c(t) = (t, t²) for 0 <1 < 5. Hint: Use the formula / Vī+² d...

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Q: Suppose that f (x) has a continuous second derivative f"(x), f(2) = 4, f'(2) = –1, and / f(x) dx = 3...

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Q: 5. cos -z) dz

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Q: What is the period of G(x) = 5 sin(3x - 3 T)? %3D 2pi 2pi/3 2pi/5

A: Given that: G(x)=5sin(3x-3π)

Q: 00 1tetz Calculate the integral, if it converges. If it diverges, enter diverges for your answer. i ...

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Q: Marginal Average Cost for Producing Desks Custom Office makes a line of executive desks. It is estim...

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Q: = kx³y? - ? %3D What is the value for k when DE is an exact equation? (2x* + sine(y)) dx -2 4 -4

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Q: what is the effective annual yield if a deposit of 1000 grows to 2200 in 9 years? round answer to tw...

A: We know that A = P(1+r)t         where A = future value                  r = interest rate or effect...

Q: Find the reference angle 0'. e = -125° %3D 0' =

A: Given, θ=-125 ° Aim: Find reference angle

Q: (1) (-256) Place all answers in the following blank, separated by commas:

A: The given data is: -25614

Q: (2x+5)² 19. What should be the rewrite of the integrand of S -dx so that the resulting integral is x...

A: Given query is to rewrite the integrand in integrable manner.

Q: LINEAR DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS (STEP BY STEP SOLUTION) (D4 - 1)y = e*

A: Please see the below picture for detailed solution. 

Q: Find the arc length of the curve y 1 on the interval [1, 2]. %3D 4x2

A: Given:    y = x4/8 + 1/4x2   Interval : [ 1 , 2 ]