Find the general solution for the differential equation. dy -20xy-5x 0 dx y = D

Q: Calculate the area of the region to the left of the parabola x= 2y^2, to the right of y-axis, and be...

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Q: SVa Inx dx

A: ∫xlnx dxBy using integration by parts=lnx∫x dx - ∫ddxlnx∫x dx

Q: dx а) Зx2 x3 + dy 8(у + 1) — 0 - у+1

A: Based on the general formula of differential equation we will solve the question. First by substitut...

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

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Q: Find derivative of F(x) = x^x

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Q: cos(x + y), when x = 0,y = dx

A: Follow the procedure given below.

Q: Use sigma notation to write the Taylor series about x = xo for the function. 3 ln x; xo = 1 Σ k =

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Q: A cylindrical can is partially filled with water. The radius of the cylindrical can is 8 inches, and...

A: Ans= 2.62 inches/minute. For detail go through the solutions

Q: (2v2 + 4u²v)du + (4uv + 3u³)dv = 0

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Q: Find the inverse Laplace Transform of: s – 1 (s – 2)(s – 3)(s – 4)

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Q: A tank, shaped like a cone has height.10 meters and base radius 3 meters long. It is placed so that ...

A: We have to find work done  to pull out all water from tank.

Q: Determine the end behavior of the graph of the function. n(x) = -5(x+1)(3x-1)°(x+6) As x-- 00, n (x)...

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Q: Use the properties of logarithms to expand the following expression. log (V?) Each logarithm should ...

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Q: For the function f(x) = x - 4, construct and simplify the difference quotient f(x + h) - f(x) The di...

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Q: In the diagram below, figure b is the reflection of y = 2* in the line y = x. YA y = 2* y = x 3- b 2...

A: Given: - Figure b is the reflection of y=2x in the line y=x, To find: - An expression for the equat...

Q: Find the first And 2nd derivative  F(x)= e^x sin4x

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Q: Is the series convergent or divergent? Justify the answer by solving it and explain why it is conver...

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Q: +oo El-1)» (" – n)" 2" n=1

A: The given series to be tested is  ∑n=1+∞-1nπn-nn2n.   Here, we will use the Root Test: If series ∑n=...

Q: Find the radius of convergence and the interval of convergence. Σ k + 6 k=0 Radius of convergence: I...

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Q: F ind @ Dlim Ix16/ lim 1-cos 3x 9. 4-X lim (1-secx) lim CosO 9= (9 -) 2.

A: Note :- there is an error in part (a) in this part value of limit is wrong. So i am solving remainin...

Q: (2a² + y)dæ + (x²y – x)dy = 0

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Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola - 15.32y = 2...

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Q: (zy + x)dy + ydx = 0 %3D

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Q: Consider the following system of linear equations. 5x+20y=-10 -6x-28y=12 Solve the system by complet...

A: Given: 5x+20y=-10-6x-28y=12

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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Q: the integral e** the integral S et3 dx is equal to: + C + C the above O the above eオ~3 + C -3ex + C ...

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: Suppose that the total number attendance A (in thousands) at NCAA women's basketball games is modele...

A: Given: - Suppose that the total number attendance A (in thousands) at NCAA women's basketball games ...

Q: The 2014 domestic postage rate for first-class letters weighing 3.5 oz or less is 49 cents for the f...

A: We have to find the function and its graph.

Q: (w - 3x +3)dw + ( 3w + x + 9)dx=0

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Q: 3x?dx 10. S 9x6-12x3+4

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Q: A certain close box having a square base has a volume of 100 in^3. Compute the rate of change of its...

A: Given is a box 

Q: From 2000 to 2007, the mean household income in the United States rose by an average of approximatel...

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Q: Solve for the interval of convergence of the power series. Be sure to verify convergence or divergen...

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Q: dx and u = 3x-2 1. y 2+1 + 3

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Q: A small hole in a rubberized container allows of the air to 20 escape each second. What percent of t...

A: We have to find the percent of the air will remain in the container, 6 seconds after opening the hol...

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: 50. x = f(p) = 875 - p- 0.05p (A) p = 50 (B) p = 70 (C) p = 100

A: Let's find. 

Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: F(x) = 4-tan(x) / 1-x^2 find the derivative

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Q: 2. Verify that the series n' +1 n=1 satisfies the conditions of the Integral Test. then use the Inte...

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Q: Solve the following differential equation:  xdx+ydy=(x2+y2)dx (2x2+y)dx+(x2y-x)dy=0 (xy2+x2)dy+ydx=...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros fo...

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Q: a sin a + In v ) da + tan adv = 0 cos a |(In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(...

A: This question can be solved by applying the concept of linear differential equation.

Q: Factor out −1 from the polynomial.  −3ab − 5ac + 6bc

A: To factor out −1 from the given polynomial. -3ab-5ac+6bc  

Q: QUESTION 5 For the following function, find the value of (a) f(-3) and (b) f(5), if possible. x²- 3 ...

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Q: For the function f(x) =x -4, construct and simplify the difference quotient f(x+h)-1(x) The differen...

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Q: A Find the derivative using the three-step rule. 1. y = 11-9x

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Q: A 4-vector has components V#= (1,3, 5, 2) in the coordinate Cartesian basis at some point p in space...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: ∫4x1.1-10xdx∫4x-1.1-10xdx