xy'= y + 2x'

Q: The graph of one complete period of a sine curve is given. y 9- 3 A -9 (a) Find the amplitude, perio...

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Q: Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictl...

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Q: Find all solutions to the equation |5-3x| -2 +x = 2x + 5

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Q: Find the equation of the parabola y = ax^2 + bx +c that passes through the points (-1,-4) (1,4), and...

A: topic  -  parabola 

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: The Differentiation to be made must be based on the following topics. - Exponential Function Give 3...

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Q: A pair of parametric equations is given. x = Vt, y = 9 t (a) Sketch the curve represented by the par...

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Q: Obtain the general and particular solution 4. xydx + (x² + y²)dy = 0

A: The given problem is solved below in detail.

Q: A is an m x n matrix. Check the true statements below: A. The column space of A is the range of the ...

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Q: 4. Find the equation for the line tangent to a. y=x²- 3 x + 5 at the point (2, 3)

A: We will find tangent equation. 

Q: Given that the height, s(t), (in feet) of a free-falling object is given by the formula: s(t) = -16t...

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Q: Find the derivative of y with respect to x. 1/9x²-1 + sec -13x, x> y= cot %3D

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Q: k-1 Since the series can be rewritten in the form > 4- (). it is a geometric series with: k=1 a =

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Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.6 m. Find the work requ...

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: The given series is: ∑k=1∞k!k8 Let, ak=k!k8; k≥1

Q: A function and its first and second derivatives are given. Use these to find each of the following. ...

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Q: Given the line segment from the point (13, 7) when t = 0 to the point ( – 1, – 9) at t = 1, find the...

A: When t=0 then point (13,7) and t=1 then point (-1,-9)  

Q: Solve for a root/roots of the functions 2. x² – 3 sin x + 2 In(x + 1) = 3.5 Applying both a. Bisecti...

A: x2-3sinx+2ln(x+1)=3.5To Find: Roots of the function using bisection method and false position method...

Q: bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hour...

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

A: In this sequence, we will get the succeeding term by multiplying 1/17 to the preceding term. Such ty...

Q: Find the limits of the Follo CoS \im

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

Q: 15 10 -6 -5 -4 -2 12 3 4 5 6 -5 10 -15 Determine the equation of the polynomial, f(2), of minimum de...

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 5+ 27 1....

A: topic  -series convergence and divergence 

Q: Solve the initial-value problem. 2хy' + у %3D бх, х> 0, у(4) %3D 16

A: Here, the given DE with the initial condition is: 2xy'+y=6x, y(4)=16

Q: Solve the given differential equation by separation of variables. (e + 1)?e-Y dx + (e* + 1)Se-* dy =...

A: Given:- (ey +1)2 e-y dx +(ex +1)5 e-x dy=0 To find :- General equation of given differential equatio...

Q: Determine the volume of the solid obtained by rotating the region bounded by y= 2x2 and y = x³ about...

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Q: Kelly wants to paint a picture of a 4in. x 10.5in. photograph that she likes. She bought a 12in. x 1...

A: Height and width

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = –4, f'(0) = 13, f"(0) = 14,...

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Q: 2. An electric current, when flowing in a circular coil of radius r, exerts a force kx F = (x² + r2)...

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Q: f''(x) = 2x + 2 and f'( – 2) = 2 and f(– 2) = 3. Find f'(x) = and find f(2)

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Q: The volume of a sphere is expanding where r = 2t. What is the rate of change in volume with respect...

A: First substitute the value of r=2t in volume ,and then differentiate it for finding the rate of chan...

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

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Q: 1. A soccer ball is kicked 20m/s at an angle of 30° above the horizontal. Determine the horizontal a...

A: Using trigonometric find horizontal and vertical components

Q: For the following function, a) give the coordinates of any critical points and classify each point a...

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Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line ...

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Q: find asymo tote s of the following cerves then graph them X-1 X?(X-2)

A: Solution: f(x)=x-1x2(x-2) vertical asymptotes Take the denominator and compare it to 0

Q: 0 2 46 8 10 12 f(r) = 16 14 13 14 16 20 23

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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: Order by the magnitude of the angle between the vectors with the pair with the smallest angle betwee...

A: 1) (1,2,3) and (1,0,0) angle cosθ = A*B/[A][B]            cosθ = (1,2,3)*(1,0,0)/(12 + 22 +32)(12 + ...

Q: Consider the function f(x) whose graph is given below. y= f(x) in Enumerate all discontinuities of f...

A: Here f(x) is not defined but at x=-2, x=3, x=5 .

Q: Obtain the general and particular solution 3. xcos²ydx + tanydy = 0

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Q: 1. Let E be the solid triangle in R³ whose corners are the points (1,0,0), (0, 1, 0) and (0,0, 2). C...

A: We have to compute the integral.

Q: If x=sect and Y ztan t, evaluete at 1of the Following to %3D イット

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Q: 15 10 5 -6 -5 -4 -2 1 1 23 4 56 -5 -10 -15 termine the equation of the polynomial, f(z), of minimum ...

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

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Q: The roller coaster rides at Math Games are all shaped like trigonometric functions. Dan goes on the ...

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

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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: Find each limit in Problems 37-60. Note that L'Hôpital 's rule does not apply to every problem, and ...

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Q: uestion 1| a) Evaluate the average rate of change for each function over the given interval: i. f(x)...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...