Ordinary differential equation dx/dy = ( x-e-x )/( y+ey )

Q: Find the area of the triangle P QR with vertices P (1, 1, 0), Q(7, 1, 0) and R(9, 4, 2). (Your work…

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Q: Given the solution:  y = C1e-2x + C2e2x + x2  Which differential equation is it a solution of?

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Q: Solve the following equations: a) y√(1-x²)dy + x√√(1- y²)dx=0 dy x(2 ln x+2) b) = dx sin y+y cos y y…

A: To integrate.

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A: Here we have given a linear programming problem with equations as given below:  x + 3y ≥ 20 7x + y ≥…

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A: Here, to check whether the given system is consistent or not.

Q: Write the given (total) area as an integral. • The area above the x − axis and below y = 4 − x²

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Q: Applying the First Derivative Test In Exercises 29-36, (a) find the critical numbers of the function…

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Q: onsider the quadratic function f(x) 2²-3x + 10. etermine the following: (enter all numerical answers…

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Q: 6. Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where…

A: Solution of the problem as follows

Q: Consider the following function. f(x) = (8 - x)(x + 1)² (a) Find the critical numbers of f. (Enter…

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Q: Solve for the unknown sides of the given triangle. B b 3 Additional Materials C = 30°

A: Apply the trigonometric ratio

Q: 64 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Solve the differential equation: (D41)y = 0

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Q: 1 sin(x) and cot(x) = is a constant number. Recall that csc(x) = 3 cot(x) The ratio dx csc² (x) (Use…

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Q: Find r'(t), r"(t), r'(t) ・r(t), and r(t) × r"(t). r(t) = 2t2i - 2tj + 2 13배 (a) r'(t) (b) r"(t) (c)…

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Q: Eliminate the parameter and write the resulting rectangular equation whose graph represents the…

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: Given that the smaller the curvature in the bend of a road, the faster a car can travel.

Q: Sav Find the work done by F=xy³i+ 4x²y2j in moving a particle once counterclockwise around the curve…

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Q: CO Start with the geometric series Σχ. m=0 (a) Find the sum of the series Σ - = 1 (b) Find the sum…

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Q: C. Find the slope and the equation of the tangent line to the 21 21 = 3x al 28. y=x²-3x+3 at (3, 3)…

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Q: Let f(x)=8+ √6x-3. Find f¹(z). f-¹(x) =

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Q: Find the horizontal and vertical asymptotes of the curve. 6x²+x- - 9 у x² + x - 56 X = (smaller…

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Q: 14. 2x²y-x³y' = y³

A: 2x2y-x3y' =y3

Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 P5(x) =

A: We have to find the McLaurin Series for the given function.

Q: Find an equation of the plane that passes through the point (1, 6, −4) and contains the line:

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Q: Determine whether the sequence converges or diverges. If it converges, please compute the limit.…

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Q: Consider the function on the interval (0, 27). F(x) = 1/2* + cos x (a) Find the open intervals on…

A: The given function f(x)=12+cos x on the interval 0, 2π

Q: A "bead" is formed by removing a cylinder of radius r from the center of a sphere of radius R (see…

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Q: 1 HW Score: 0%, 0 of 14 points O Points: 0 of 1 E Homework: Module 3 HW 16.4 Question 14, 16.4.33 >…

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Q: 3. To the right is a plot of the line of equality and the Lorenz curve for Poland in the year 2018.…

A: We need to set up integral. NOTE - As per Bartleby's guidelines we can solve one question from…

Q: = ||r' (t) x r' (t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(9t)i + 7 sin(9t)j + tk Use the formula…

A: find curvature

Q: Solve: 2|z-21 +4>7 The answer has form: Ox B OA<x<B Where A- and B

A: We have to find the value of A and B

Q: 2. A closed rectangular box with a volume of 16 ft3 is made from two kinds of materials. The top and…

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Q: Consider the following function. f(x) = x¹/⁹ + 8 (a) Find the critical numbers of f. (Enter your…

A: We will apply f'(x) =0 to get critical number.    If f'(x) &gt; 0 for all x in an interval then f(x)…

Q: Hello, I had a homework question on this. I know how to solve for common logarithms, but this…

A: Given 3•7^x=4•5^x

Q: Find the area A of the region that lies inside r = 5 sin(0) and outside r = 3√3- sin(0). A= Que Que…

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Q: Find the equation of the tangent line to the graph of f(x) = 9 sin(x) + 4 cos(x) at x = in in the…

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Q: The following rational equation has denominators that contain variables. For this equation, a. Write…

A: Given problem:-

Q: Find P(33 < X < 47) if X is normally distributed with mean 37 and standard deviation 10. For all

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Q: Introduction to Derivatives ections: Read the paragraph. On a separate sheet of paper, answer the…

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Q: Write the first four terms of the sequence whose general term is given below. a₁ = ( − 1)^(n+7)

A: Given, an=(-1)n(n+7) The first four terms of the sequence is given by,

Q: Which of the following is true about the graph of f(x) = 3/(x+1)? a. It is continuous on (-6,-1]…

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Q: Find the residue of f(z) = Find the residue of f(x) = sin z at z = π. 2²-3z 2²+4 at z = 2i.

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Q: Use the fundamental identities to fully simplify the expression. cot(x) cos(x) + csc(x) sin²(x) In…

A: Please see the answer below.

Q: Check the function y=x²+1 whether have a symmetry about x or y axis

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Q: :-Solve the following equations (choose three only):- 2 1- y' + ²y = -x³y5 2- 2xydx + (x²-1)dy = 0…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: What interest rate would be necessary for $9,400 investment to grow to $13,200 in an account…

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A: We will solve the Differential equation.

Q: 12. SHOW ALL WORK Solve the equation for all t in the interval [0°, 360°). Express answers in…

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