the cable of a suspension bridge hangs in the form of a parabola. the distance between two towers is 800 ft and the points of support of the cable on the towers are 170 ft above the roadwat and the lowest poinr on the cable is 10ft above the roadway. find the vertical distance to the cable from a point in the roadway 100 ft from the foot of the tower

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A: To find non exact differential equation.

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A:

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A:

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A: The given integral is  ∫29tan5xsec4xdx

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A:

Q: the space curve (t) = (2t, t², 2t)

A:

Q: 4. Consider Line L with defining equation 2 y - ²x + 1/ . = 6 A. Find two ordered pairs (x₁, y₁) and…

A: see below the answer and calculation

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A: The basics of integration must be cleared in order to attempt this question. Rest of things are…

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A:

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A: We need to rewrite the given expression in terms of exponentials.

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A:

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A:

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

A:

Q: Evaluate the following integrals: 8 3 S(4 + 3√x) (2x + √x ³) "dx

A: SOLUTION-

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A: Your option is incorrect but my solution is correct .

Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x − y)dy = 0? |…

A:

Q: Which of the following equations is NOT a variable separable differential equation? A 2xydx + (x² +…

A: See this solution in below.

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A:

Q: Suppose that f(5) = 1, f'(5) = 7, g(5) = -8, and g'(5) = 4. Find the following values. (a) (fg)'(5)…

A:

Q: Which of the following is NOT true about the linearity of differential equations? O A. Which of the…

A: Given query is to find the incorrect statment for liner differential equations.

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A:

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A: Determine the Order and Degree of the differential equation.

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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A:

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A:

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

A: Find integration factor first.

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A: Please see the below picture for detailed solution.

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A:

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Q: Which of the function is not an exact equation of the first order? A. (e³ + ycosx)dx + (xe³ + sinx +…

A: We have to find which of the following function is not exact. We

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A:

Q: What is a suitable integrating factor that can be used to solve the equation dy cos(2x) = 0 O A. B.…

A: To find IF

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A: given    y(x+y+1)dx+x(x+3y+2)=0

Q: dP Which among the choices is the same as the differential equation = P(C₁-C₂P)? dt A. dP dt B. dp…

A:

Q: Question 27 The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy² + 2y)dx + (2y³ +…

A:

Q: The degree of homogeneity of the function f(x, y) = (x² - 4y²)-1/2

A:

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…

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A:

Q: Which of the following is a non-homogeneous function? tan³y/x OxLnx-xLny O x³ − xy + y² (y² + v²)³/2…

A: homogenous function is f( tx,ty ) = t^n f(x,y) option a) f(x,y) = tan (3y/x) now,…

Q: Question 9 Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y +…

A:

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

A: We have to find second order non linear differential equation from given options.

Q: Which of the following equations can be made into a linear differential equation?

A: