Find the differential equation whose solution is given by: y^2=4ax

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: sap pls i'm having a hard

A: We will find the Taylor polynomial. 

Q: Find the derivative of the following functions using the limit definition.  1. z =7y2- 11/y 2. f(z...

A: From limit definition of derivative we know, f'(z)=limh→0f(z+h)-f(z)hand f''(z)=limh→0f'(z+h)-f'(z)h

Q: 2. (x + 2) dæ: (x + 3) sin y cos y dy In(a + 3) sin y %3D + C ans. x -

A: (x+2) dx = (x+3) sin y cos y dyUsing the method of variable separable;x+2x+3 dx = sin y cos y dy   ∫...

Q: Solve the initial value problem: (2x – 3y + 4)dx + (x – 1)dy = 0; y(-1) = 2. %3|

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Q: dx +x tan y= dy sec y 1+tan

A: The given differential equation is; dx/dy +xtany=secy/(1+tany)

Q: dx O arcsin(x' ) + C O arctan(x*) + C 8 O arcsin(x³ ) + C O arctan(x') + C O arcsin(x ) + C

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Q: Consider the expression ſ V4 – x² dx = F(x)+C. The expression %3D F(2) – F(-2) is equal to

A: Here we have to evaluate F(2)-F(-2)=? We have, ∫4-x2dx=F(x)+C

Q: The standard form of the first order linear differential equation x'y'+ry +2=0is

A: The standard form of a first-order linear differential equation is:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINE...

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Q: 7 sin(t) + tan(t). tan(t)

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Q: Write the first five terms of the sequence: +00 {Vn² + 10n – n}-1 n=1 Determine whether the sequence...

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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: Use sigma notation to write the Taylor series about x = xo for the function. 2 In x; xo = 1 k =

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Q: Eliminate the parameter to find a Cartesian equation of the curve. x(t) = 101nt y(t) = Vi (a) Cartes...

A: We need to eliminate parameter and find range for a and y.

Q: メ+

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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: If k-P converges, then k-p+0.001 converges. k=1 k=1

A: If ∑k=1∞k-p converges, then ∑k=1∞k-p+0.001 converges.

Q: Write the first five terms of the sequence: +00 {Vn² + 2n – n}" Determine whether the sequence conve...

A: The given sequence is {√(n2+2n) - n}.

Q: 5 In(x); xo = 1

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Q: Find the indefinite integral. (Use C for the constant of integration.) 4 cos(0) – 1 OP

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Q: Consider the following sequence: 7" {an} 3n2 n=1 An+1 to show that the given sequence {an} is strict...

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Q: JA 1 J 40. f(x) x'+3x + 7

A: Given query is to find the interval where function is increasing and decreasing.

Q: Use the difference an+1 an to show that the sequence {n – 8"} +oo In=1 is strictly increasing or str...

A: The sequence{n-8n}n=1∞

Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =...

Q: 9. . 2 CoS cos rsin?x dx. 10. 2 sinºx dx

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Q: Use sigma notation to write the Taylor series about x = xo for the function. 10 In x; xo = 1 k =

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Q: Determine whether the series converges. k=1 The series

A: Ratio Test : Suppose ∑ak be an positive term series and                         limk→∞ ak+1ak =L , t...

Q: Use sigma notation to write the Taylor series about x = xo for the function. 6 In r; xo = 1

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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: S(z) = 64 –3 V/

A: f(x) =x964-x3We can rewrite the function as;f(x) = x9  164-x3f(x)=x9 (1641-x364)a=164,  r=x364   (Ge...

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: An+1 to determine if the sequence An is strictly increasing or strictly decreasing. Use the ratio 5n...

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Q: Solve the differential equation y'- xe"+y = 0

A: Given query is to find the solution of differential equation.

Q: Answer the following questions for the function f(x) = - 8x° - 36x? +240x – 11. ... a. Find formulas...

A: Topic = Derivative

Q: Assume that f is continuous and | f) dt 3 sin х — х сos x. 0, (a) Determine f(;n). (b) Find f'(x).

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Q: Set up a definite integral with respect to x (dx) (set up only, do not evaluate the integral) to fin...

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Q: What is the value of rez+1 ? 1+e-z df (0), where f(r) = dz Give your answer as an integer or as a de...

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Q: The quantity of a drug, Q mg, present in the body t hours after an injection of the drug is given is...

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Q: IV. Find the particular solution of each of the following. 1. (2х — Зу + 2)dx - (3x + 4у-5); у(-3) %...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent (-1)*+1 5k

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Q: sin S S. cossx (3-2secs)

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Q: S(x) = Vī – 8 VF f "(x) =

A: Given, fx=x-8x3 We have to find f'x.  

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(0) – sec(0) s...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)*+1 5k

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Q: Sketch the graph of y =x-3. S1N

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Q: solve using Firs Order Linear Differential Equation

A: Topic:- differential equations

Q: Make a 1 rational equation problem involving 3 rational expressions with binomial term with solution...

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

A: Given query is to find the general term for the sequence.