Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

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A: The given series,       ∑k=1∞(-1)k+13k

Q: Using the figure shown, find cota (3, - 4) -4/3 4/3 3/4 -3/4

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: QJchange to Polar ( dxdy - Ji-y?

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Q: y" – 3y' + 2y = 0 y(0) = y'(0) = 1

A: We want to solve using Laplace transformation.

Q: Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x ...

A: Activity 3.2:Slope of the tangent line to the curve y=f(x) at(x0, y0) is given by dydx(x0, y0).y=4+2...

Q: inconclusive, then say so. 5* Σ 00 If p = + 0, enter "inty". i The series converges. The series dive...

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Q: f(x)-f(xo) f'(x) = lim 2. f(x) = x2-5x + 6 3. f(x) = Vx + 6 at x = 2 at x = 3

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Q: Write (1-az2-bz)/(1+bz) as a product of linear factors.

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Q: 4. Assume y(x) = eaª cosBx is one of the solutions of the DE y(3) – 3y" + 7y - 5y = 0. Then α+β= (A)...

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Q: Show that the sequence +o0 is eventually strictly increasing or eventually strictly decreasing. an+1...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Question * Using integration by parts, the integral Sxsec(2x) tan(2x) dx is equal to:

A: The integration of the integral is xsec(2x)tan(2x).

Q: Question 2: Differentiate the functions by using product or a) f(x) = (3 – x²)· sin5x

A: Given: a)f(x)=3-x2sin5xb)f(x)=3cosxx-5

Q: 2х — 4 f(x) = n = 4 x + 1 P4(x) = Need Help? Read It

A: We will find the mclaurian polynomial. 

Q: 5. 1. 5. 3. The graph of the function y = f(x) is given below, on the left, while the graph of the f...

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Q: A small country with a population of 6,000,000 consists of four states, A, B, C, and D. There are 14...

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Q: The graph of f(z) is given by {-1.4) (1, 4) (-1, –2) (5,-2) (3,-4) (-4, 5) Determine if f is continu...

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Q: Select all vectors perpendicular to the vector (1,3, -5). (2, 1, 1) O (0, 5, 3) O (1, 1,3) O (4, 2, ...

A: Given query is to find the perpendicular vectors to the given vector.

Q: The growth of bacteria makes it necessary to time-date some food products so that they will be sold ...

A: Given query is to find the number of bacteria after indicated time.

Q: By completing the square, dx tegral J_2 x2+4x+5 is equal to=

A: ∫-2-11x2+4x+5dx

Q: 4xdx х2-х+1

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Q: Fin d y' forsin X +Sin Y =A

A: Given query is to find the derivative of the expression.

Q: Solve the triangle for which ZA = 30\degree, ZB = number. Do not use a decimal point or spaces in yo...

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Q: Find the max emin, nflection Points and the in ter Vals on which the function iiHereaserdecrease con...

A: Given query is to find the the key points of the function.

Q: Find the radius of convergence and the interval of convergence. k(k + 5) k=1 Radius of convergence: ...

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Q: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic ...

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Q: Using the figure shown, find sing (3, - 4) -3/5 3/5 4/5 -4/5

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Q: x" – 2x' + x = et x(0) = 1 ; x'(0) = 0

A: solution given below

Q: Discuss the continuity of f(x) = {Vx, x > 1 1, x<1 at x = 1.

A: A function f is said to be continuous at some point a if the value of the function at that point is ...

Q: Find up ifr=V ands=16420 Find dr and s=16¢ê2ot

A: Solving the problem by finding the solution of the derivative.

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

A: Chain Rule : (fg(x))' = f'(g(x)).g'(x). d(ax+b)ndx = n.a(ax+b)n-1 dtanxdx = sec2(x)

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 9ke-k k = 1 Identify ...

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Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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Q: Find the volume of the solid obtained by rotating the region between the curves y = 3x - x³ and x-ax...

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Q: derivative of y= sin (arcsec(lnx))

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(/x) xp

A: ∫5cosh(x)xdxlet x=tdifferentiate on both sides12xdx=dtThen ∫5cosh(x)xdx=5∫2cosh(t)dt

Q: (-1)" - 1 6" n = 1 3

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Q: Find the radius of convergence and the interval of convergence. Σ k(k + 1) k=1 Radius of convergence...

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Q: A y' and Y"For Y=sin (X+ Y) 11 dar

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: The Differentiation to be made must be based on the following topics. - Trigonometric Give 3 example...

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Q: sin 0 d0 cos? 0 +5 cos 0 +6

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Q: dx tan-를 (64 + x) +C 512(64 + x) 512 dx tan" (64 +x -C 1024 128(64 +x) tan + C 512(64 + x) -- (64 + ...

A: Find your answer below 

Q: Integrate the following: xdx 1. S x²-x+1 xdx 2. S V9x4-1 dx 3. S XVx-1

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Q: The Differentiation to be made must be based on the following topics. - Quotient Rule Give 3 example...

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Q: the area between the curves y = x2 - 8 and y = 4

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Q: Determine whether the sequence defined as follows has a limit. If it does, find the limit. (If an an...

A: Let {an} be a real sequence and L be a real number then limit of this sequence {an} = L iff an tends...

Q: Compute the work required to stretch a spring from equilibrium to 8 cm past equilibrium, assuming th...

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Q: 7. 4. A firm's marginal cost and revenue functions are given by MC- 12e + 16a + 20 MR = 100 -29 a. R...

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