5. Find lim f(x) f(x) 2 1 i -1 2 -2

Q: Let y = - ty + 0.ly and y(0) = 0.77. Use Euler's method to find approximate values of the solution o...

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Q: 2ху 6-dy 2ху+3y dx х+2ху ee

A: We put y=vx and solve the given differential equation.

Q: 'd = kt kdt A True B B False

A: Let's find. 

Q: kdt, where k is constant A True B False

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Q: Detemine the x-values at whìch, 9水)= 2xー 3xー+X メt,xE - スxナラメー3x underined. Evaluate the linit ac xap...

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Q: -siny(x + siny)dx + 2x²cosydy = 0

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Q: Q#3.2 Which of the following functions given below is a solution to the differential equation in the...

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

A: Given :                                        ∑n=0∞(-1)n+1(n+8)xn       an    = (-1)n+2(n+9)xn+1   ...

Q: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

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Q: Find three positive numbers whose sum is 100 and whose product is a maximum.

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then do u-sub) ...

A: The integral is given by I = ∫-∞015x-12dx Formula Used: ∫u-ndu = u-n+1-n+1+C To evaluate: The value ...

Q: Compute T2(x) at x = 1 for y = eª and use a calculator to compute the error |e – T2(x)| at x = -1.5....

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Q: It is given that (e7z 12) = 7e*12. Then, by the Fundamental Theorem of Calculus, we have 7x+2 dr 7e+...

A: Let's find. 

Q: The direction field for the differential equation dy = e*-y dx passes through the point y(-1) = 2 is...

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Q: Calculate the Taylor polynomials T;(x) and T3(x) centered at a = 8 for f(x) = In(x + 1).

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Q: Before starting your studies at EHL, you need to buy new suits. Each suit is made of a jacket, a tro...

A: According to given, Total purchase= 450+560+180+240+290+85+89+96+92= 2082 Since the purchase price &...

Q: Evaluate: thr (,5_ 3) ² dr A 2(r-3) 3 B +C 3 2(,5– 3) ? +C 15 4nr D 4.

A: This question is based on Indefinite Integral.

Q: Given that f(x) = 5x° + x³ + 2, find the derivative of f- by using dy che formula d.x 1 Check dx you...

A: To find: The derivative of inverse of f(x)=5x5+x3+2 by the formula dydx=1dxdy. Calculation: Find the...

Q: The profit (in thousands of dollars) from the sale of x thousand packages of note paper is given by ...

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Q: The above is the graph of the derivative f '(x). How many critical points does the original function...

A: How many critical points of f(x)

Q: Find the angle 6 between the vectors. u- (1, 1, 1), v- (5, -4, 3), radians

A: Angle between the two vectors can be found by applying dot product of two vectors.

Q: 1 The region bounded by the graph of f(x) and the x-axis between x = 0 and x = 9 %3D 1+ x2 is revolv...

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Q: | (x + cos? x) dæ + | (2 – sin? 2)dæ =? - 0, 3

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Q: B01OW is a graph of VCF) , me VOlOGIry Of an Obicot ovor timċ. OCScrioc me acceicrarion oe th& obj G...

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Q: 3t 3 dt +C 3lna A) True B) False

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Q: 1. Write the improper integral which is represented by the following limit. lim C2" 2x dx x2-4 2. Sh...

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Q: (a) D = (x + z)a, (b) E = (y² – x³)a, + xyza, + (x² – z?)a.

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Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

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Q: (b) Then do the following: • If your answer is porsible, provide a specific example (a specific an) ...

A: D. Possible.     ex. an= 1n2  ⊙   limn→∞ 1n2 = 0 . Hence, an  converges.  ⊙  ∑n=1∞1n2 is converges b...

Q: is continuous at x=3, f (-1) =6 ? + a, x # 3 3b, x 3 ontinuous at x=2? - x > 0

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Q: Evaluate each of the following integrals. 1. S cos5 x Vsin x dx 2. S sin* 3x dx

A: Let ,I=∫cos5xsinx3dx⇒I=∫cos2x2.cosxsinx3dxWe know that , cos2x=1-sin2(x)I=∫1-sin2x2.cosx.sinx3dxPut ...

Q: 12x2-5x+7 lim x++00 V9x²–7x+13

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: 00 Determine whether the series E. 2 converges or diverges. If it converges, find its sum. e n= 0

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Q: -7. -5-4 -3-2 -1 \I 2 3 4 5 -2 -4- o ト oゆ!

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Q: Evaluate the double integral. | 7z(64 + y*)} dA; R R is the region in the first quadrant enclosed by...

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Q: У(xtanx + Inу)dx + tanxdy 3D C

A: The given equation is; y(tan x+ln x)dx+tan xdy=0

Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: If f(x) = 9a'm(z), find f'(9).

A: This is a basic differentiation problem

Q: . Find the function that is represented by the series £=0x" = 1 + x + x² + ... xn . Find the functio...

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Q: en k=1

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Q: F(s)

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Q: Bessel's Function Find Jg (x), JE cx)

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Q: Evaluate: dt A 4e*+C B +C +C 4 C D pert +C 4 E None

A: Topic:- integration

Q: sinrdr In(cosr-3)c cosr -3

A: The objective of the question is evaluate the indefinite integral with suitable substitution.

Q: Determine if the following sequences converge or diverge. You must justify your answers. If they con...

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Q: Evaluate each of the Fo llowings. V bano do V2

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: 2 Find all local extreme values of f(x) = a – 5a? + 8x – 50. 3 The FIRST local extreme value, moving...

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Q: Solve the following differential equation. Finalize answer free of fractions and equated to y^n. 1. ...

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Q: csc5x cot5x dx A csc 5x B -csc5x 3 -csc5x 3 D csc5x E None

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

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