Evaluate the difference quotient for f(x) = −x³ +· O 3x²+3xh-h² O h² O-h² O-3x²-3xh-h²

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A: The solution for the given integral is as follow.

Q: Evaluate the following integral. 4 ex S- 2x 9- e -dx

A: See this solution in below.

Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0 when…

A: uation Given differential equation of the formMdx+ Ndy=0

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Q: lim x→7 x-7 14 x² - 7²

A: SOLUTION-

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A: Given Data  y(x+y+1)dx + x(x+3y+2)dy =0

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Q: 0 PERTA C 2000 A television camera at ground level is 2000 feet away from the launchin to take off…

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Q: What is a suitable integrating factor that can be used to solve the equation dy dx A. e B. 3 ex D.…

A: To find Integrating Factor.

Q: Which of the function is not an exact equation of the first order? O A. (ey + ycosx) dx + (xey +…

A: To find the non exact equation.   Option c and d are correct

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A: Given: Volume and Pressure are inversely proportional. P=14.7lb/in2when V=1000 in3 To find: V when…

Q: 16. Find the limit of the following rational function as (a) x-∞o and (b) x--co. -2x²-3x²+2 7x³+2x²…

A: Limit

Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 A. 1/4 B. 1/2 C. 3/4 D.…

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Q: 3x Obtain the differential equation whose general solution is y = C₁ + c₂e³x.

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Q: 15. Find the limit. lim X48 lim X-8 sin 15x 19x sin 15x 19x =

A: See this solution in below.

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Q: 1 † (OM - ON) - M . If OA es OB. U O D. e-5 ys ly = then what is the integrating factor?

A: Key points: Consider the differential equation M dx + N dy = 0. If this equation is not exact, then…

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Q: The integrating factor (IF) of the equation y' - 2ycot2x = 1-2xcot2x - 2csc2x

A: Given, y'-2x cot(2x)=1-2x cot(2x)-2 csc2x

Q: Which of the equations below is a second order nonlinear differential equation? O A. 2 ¯\x²y - (1 -…

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Q: dy Solve for the value of C in the equation: + ycotx dx OA. -5 B. 5 OC.-4 D. 4 E. None of the…

A: The given differential equation is dydx+ycotx=5ecosx, yπ2=1 This is a linear differential equation…

Q: If f(x) = = f'(x) = 4x² tan x sec x Find f'(5)= " find 4x(x + 2 tan(x sec (x) (x))

A: Topic- Derivative of a function  We are given, f(x)=4x2tan xsec xand f'(x)=4x(x+2tan (x))sec x

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Q: a -- In words, describe the curve F(t) = (2 sint,e',2 cost) for 0<= t <=6 . Be sure to give enough…

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Q: cost function for Joanne's T-shirt production. hirts must she produce and sell in order to break…

A: we will find the required.

Q: Solve for the value of C in the equation: O A. 1 OB. 2 O C.3 O D. 4 E. None of the Choices dy dx…

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A: See this solution in below.

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Q: Let f(x) = 4x + 4 6x + 7 Determine (fof)(x).

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: we wil find the required equation of plane.

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

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Q: Solve for the value of C in the equation: dx +ycotx = 5ecosx when y (-₁) = 1

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Q: f(x)= (ln x)^3 f'(x)=

A: Given, f(x)= (ln x)^3

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Here we can create the required polynomial function in the below steps.

Q: The answer is incorrect

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Q: † (OM_ON) - . If = -3, O A. e5 U O E. e-5 y5 y -5 then what is the integrating factor? None of the…

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