:Q1 Solve the second order differential equation Y " – 5Y' + 9Y = 0

Q: Show that (1-)" =e= %3D Which of the series converge and which diverge. 4n+3 (1) E=14 m%3D1 (-4)"…

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Q: Here is a related rates problem: All edges of a cube are expanding at a rate of 5 cm/sec. Let the…

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Q: A man borrows Php 100,000 from the Social Security System for a term of one year. The interest…

A: Bank Discount  =100000×15100=15000

Q: Obtain the general solution for the following differential equation. (a) y" – (a + ß)y' + aßy = 0 (a…

A: To solve the given higher order differential equation.

Q: 4 Determine whether the alternating series E (- 1)"7 converges or diverges. 9 Inn n=2 Choose the…

A: FOLLOE NEXT STEP

Q: (a) y= (x + 1)? O III OIV (b) y (x- 1)2 01 O II O IV (c) y-x - 1 O II OIV (d)

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Q: Find fr(x, y) and fy(x, y) given f(x, y) = tan x· cos os(x² – y?).

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Q: Question 7 Find the area enclosed by the curves y=2r², y=2x.x=- and x = 1 A) 45/51 B 65/89 59/76 D)…

A: Here is the solution

Q: Evaluate the integral. (Assume a * b. Remember to use absolute values where appropriate. Use C for…

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Q: Evaluate: da Væ2+4

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Q: QUESTION 3. a) Find the general solution of y" - 2 --= 0

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Q: Consider the function f(x) = -4xi + V24 -x on the interval [7, 27]. Find the absolute extrema for…

A: We want to find absolute maximum and minimum.

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) = 0…

A: Solving

Q: 4. Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: We have to calculate indefinite integral ∫{(3x2+6) /(x3+6x) }dx Let us say  I = ∫ {(3x2+6) /(x3+6x)}…

Q: Let ü = and v =. If ü xö = then determine the value of 3A+B+C. Answer: Finish attempt..

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Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A: First supposed that an angle as alpha then use trigonometric ratio  and make a relation between x…

Q: Let u= where A and B are some constants. Given that u+ 6v= find the value of the product A.B.…

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Q: 8. Let 7 (t) = < - 2 cos(8t),- %3D Find fF(t)dt (don't include the +C) frona -

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Q: please answer quickly

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Q: 4 Find the inverse Laplace transform of s? + 8s

A: As we know from the property of the Laplace transform; L-1a·fs+b·gs=a·L-1fs+b·L-1gs And…

Q: Use the Laplace transform to solve the given initial-value problem. 2y" + 3y" — Зу' - 2у %3D е",…

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Q: Let i = and v =. If ü xi = then determine the value of 3A+B+C.

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Q: Select the conic section represented by the given equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 ellipse…

A: The standard form of equation of a conic section is Ax2+Bxy+Cy2+Dx+Ey+F=0, where A, B, C, D, E, F…

Q: e slope of the surface z = int (2. 3) is xy² in the x-direction at the and the slope of this surface…

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Q: dr 2.

A: Use simple integration formula.

Q: dx 4. S

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Q: (x+a)² 3. Let f (x) where a is a constant and a -1. (Note if a = -1, then f(x) is a line %3D x-1…

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Q: Find the equation of the tangent to the curve x2 = y²x + 2 at (-1, 1). Use graphing software to find…

A: To find the equation of tangent at the given point

Q: Find the Taylor polynomial p1 (x) for f(x) = 8x2 at x = 5. %3D Provide your answer below: P,(x) = O

A: To find the taylor polynomial p1(x) .

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

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Q: Solve the following problems. 1. A thermometer reading 18°F is brought into a room where the…

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Q: 1. Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6.

A: A detailed solution is given below

Q: Approximate the integral using Taylor series method: | xsin?x dx

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Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. 4-…

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Q: Estimate cos E- 0.1) + cos

A: Follow the procedure given below.

Q: A rectangle is growing in such a way that when its length is 5 ft and its width is 2 ft, the length…

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Q: Find S(sin20cose + cos30)d0

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Q: 3) Determine if the series converges or diverges. If it converges, to 00 2* what does it converge?:…

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Q: 3x 1. S dx 1+3x

A: Note - As per our guidelines if multiple questions are posted then we have to answer only the first…

Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium x=3. %3D O $2 O $ 27 $9 $ 18

A: Given problem:- Let S (x)=x2 Find the producer surplus at the equilibrium xE = 3

Q: Using Disk Method solution, R is bounded by x-axis, y-axis and the line 2x + 3y = 1. This is…

A: This is a problem of finding volume using integration . Based on the formula and concept we will…

Q: How many terms of the series -1)" 1+2" are needed to compute the sum of the series with an error…

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Q: Question Describe the set S={ x: |(1/2)x-3| > 4 } Select your answer S= (-00, 12] U (14, o] S= (-00,…

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Q: sin x dx 1. V2-cos2x

A: integration

Q: Find the area of the region bounded by: r 98 cos 20

A: Solving

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for tN 0. Then the integral L{f{t)}…

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Q: Find the arc length L of the graph of r(t). r(t) = 4 cos(t)i + 4 sin(t)j+ tk, 0<t< 2m L

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Q: The system is a two-dimensional coordinate system in which each point on a plane is determined by a…

A: To fill the gaps using the given options.

Q: A football is kicked from the ground 70 yards along a parabolic path. The maximum height of the ball…

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Q: Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6

A: Find the equations for a parabola with focus (-10,7) and directrix x=-6.     Here i attached the…