5. (D5-11D4+19D³ + 115D² - 200D - 500)y = 0 Ans: y = C₂e-2x + C₂xe-2x + C₂e³x + C₂xe³x + С5x²e³x

Q: the graphs of y=2x^2 and y=mx -2 intersect at the points A and B. The point B has coordinates (2,8),…

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Q: Find the general solutions for these differential equations: a. xy’ (2y - 1) = y (x - 1) b. (xy –…

A: We have to solve given D. E.

Q: xy³ Q3: Let f(x,y)=2x² + y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every…

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A: topic- indefinite integral

Q: the Taylor polynomials T₂(x) and T3(x) centered at x = 10 for f(x) = ln(x + 1). T. (m) 1

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Q: 2. Given the values for f(x) on the table, approximate the area under the graph of f(x) from x = -5…

A: Let's find approximate area under the graph.

Q: 1. Solve the following Linear Systems of Equations by Gaussian Elimination: 2.) 3x + 3z = 0 2x +2y =…

A: On solving this we will get

Q: Q3 A) Write the first five terms of the following: - 2. {1- (-1)") (3n+2 B) Determine which of the…

A: "since you have asked multiple question,we will solve first question for you.If you want any…

Q: 1)

A: Solution ) 1) in the first graph   We see that  In every value of x , y value is constant which is 2…

Q: Given a second order differential equation dx 2x = e³t dt where t = 0, x = -5. Using Laplace…

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Q: 4. The value of fx sin(x²+3) dx Acos (x²+) + C C. cos (x²+)+C B. -cos (x²+)+C D. -cos (x²+) + C

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Q: A solid is formed in the first octant bounded by the plane z = 6 - x - y and the cylinder 4 - x².…

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Q: ♥ 82u = cos x cosy, u(x₁#) = X ₂ U (π, y) = 2 cosy 2 axdy Ans: u(x,y) = sinx sing + 2/2² + 2 cosy -…

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Q: Evaluate the double integral: S² SATI 1/3 x² +1 (Hint: Change the order of integration to dy dr.) dr…

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Q: Determine the values of r for which the differential equation y" - 4y = 0 has solutions of the form…

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Q: Consider the parametric curve: X = sin² (t) y = -9t Which integral gives the arc length of the curve…

A: Topic = Integration

Q: let f(x)=x +9x-1 if (f o g)(x)=x+9√x-1. find g(x)

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Q: Determine the general solution of y" - y = 0 given y₁(x) = e e-2x using reduction of order

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x² and the…

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Q: 5. Use the substitution method to evaluate So 3x²+2 x3 + 2x +37 dx.

A: Topic = Integration

Q: -valuate the following 3 .4 3 2 x² + 2x³ + 3x² + x + 1 x4+x²

A: A detailed solution is given below.

Q: 4. Evaluate the double integral: To fo (Hint: Change the order of integration to dy dr.) y dx dy.…

A: We have given the double integral in which the region of integration 'R' is given below  R : { 0 ≤ y…

Q: find the solution of following differential equation using Laplace transformation. y" + 3y + 2y = ex…

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Q: Differentiate the function. P(w) = 2w² - 6w + 4 W

A: Given function is differentiated.

Q: Consider the parametric curve: x = ln (8t) y = 5t³ Which integral gives the arc length of the curve…

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Q: 5. In a room with 10 people, everyone shakes hands with everybody else exactly once. How many…

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Q: - 2.f(x,y) = y²x¹ey.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

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Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

A: Simplifying (5y4 + 2x3y) * dx + -1(4xy3 + x4) * dy = 0 Reorder the terms: (2x3y + 5y4) * dx +…

Q: Consider y = f(x) = =725, *20. +5 (a) Find the critical point in (0, ∞o). Using the 1st derivative…

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Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

A: Given that, A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator…

Q: Find the volume of the region bounded above by the elliptical paraboloid z=8-3x²-4y² and below by…

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Q: When solving ff(u)du = t - e³u f(u)du you obtain 1 A) f(t) 1-e³t t B) f(t) 1+e³t t C) f(t) 1-e³t 1…

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Q: Consider y = f(x)=√1+2x, x 2-1/2. Without finding x = f(y) explicitly, find the derivative of the…

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Q: Q4/Find the slope of the line 3x-4y=-8 and then find the distance from the point P(3,-2) to this…

A: Given Equation of line3x-4y=-8To find slope & Distance.

Q: The function f(x, y) = x² + y² √x² + y² +1-1' (a) {(x, y) = (0,0)} (b) {(x,y) = R²2} 2 if : (x, y) =…

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Q: (d) lim 1-x-x² x-∞ 2x³ - 3x + 1

A: In this question, we want to evaluate the limit of the given expression.

Q: Q1.. Find domain and range for following functions: x a) y = 1 (2 x 20 x<0 b) When f(x) = and g(x)=…

A: Let's find function domain and range.

Q: 2-S Sin ³ x cos" x dx

A: SOLUTION-

Q: 8 What type of association does the following represent: The value of y decreases as x increases A.)…

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Q: Find an equation of the tangent line to the graph sin(x) + y² = 4 at (π, 2).

A: This question can be solved using the concept of tangent and normal.

Q: show that $(x, y, z) = 8²4 PDE : 2²4 дуг дуг + 1 2 x² + y² + z² 824 dz² satisfies the

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Q: Determine the magnitude of the vector difference V-V₂-V₁ and the angle 8, which V' makes with the…

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Q: dy a. Use implicit differentiation to find b. Find the slope of the curve at the given point.…

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Q: y"" - 4y" + 3y = 0

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Q: 1. Find the distance between p(-2, 3,0) and Q(2,1,5). 2. Find the direction of A = 2i - 3j+7k. 3.…

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Q: y=u² +2u u=v² + 2v v = x² + 2x

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Q: Find the general solutions for these differential equations: a. 2y²dx + (x²y - 2xy)dy = 0 b. y' =…

A: Use differential equation concept

Q: 47 Find the general Solution of the following PDES -X • 3 Ux + 2 y = 0 =4e² ₂ U (x₂0) = (3y-2x)/2…

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Q: - x, then answer the following (1) Find the function's domain (2) Find the function's range. (3)…

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