16) fueluete Sx Jx+3dx 4) 리/5(x+3)기2 -2(x+3)12+c 6) /5(x+3}51z . "/s (X+3)"z + C XJX+3 dx S/2 312 6) 리s(x+3)s1z cJ 리s (x+3)기2 + 리s(x+3) d) x리3 (x+3)기2tc 312

Q: 7. Remwrite the..either.five.exated.nt.agrmls. 1-X FCX ng , Z)dydzdx ZA z= 1-x2 ...... y=1-メ

A:

Q: In 9 - x= 16, how would you come to a conclusion if x can't be considered negative?

A: Consider the given equation

Q: 9. Integral (2x-5) ai x² = 5x + 3 -

A:

Q: Compute R' (x). OR (a) = 70 + 0.04x %3D OR (x) = -70 + 0.04x OR'(x) = 70 – 0.04r %3D OR'(x) = 70x –…

A: We have to find R'(x).

Q: 6. Evaluate In (x - In (r-...))dr in terms of some new variable t (do not simplify).

A: Given :- ∫lnx-lnx-...dx To find the given integral in terms of some new variables t

Q: A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 3…

A: Given in the question: Total bulbs, N = 11 Defective bulbs, x = 3 Now we will calculate the sample…

Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

Q: 2. Show that (a) Re(iz) - Im z; = (b) Im(iz) = Rez.

A:

Q: +prove by indirect method that if X+y>5 then x>2 or

A:

Q: Determine whether 8ory-- ∞ as メマ- co and x→。 2. y= -3x°-5x²+7

A:

Q: What is the end behavior for this fucntion... X^3-4x^2+7

A:

Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

Q: In a study of pain relievers, 50 people were given product A, and 38 experienced relief. In the same…

A: It is obtained that: For product A: Total participants=50No. of participants, who got relief=38 For…

Q: 3. Let fx) --2x (x² - 9)(x*-1) Determine

A: Please find attachment for the details solution

Q: Prae that x4 -5x +3 is ineducible ouer Q

A: Given polynomial is f(x)= x^4 -5x^3 +3

Q: Show that 1/3  Tn +  2/3 Mn  = S 2n

A:

Q: Ex Fezy)= 3x+ 8x fom <2) F(Zx).2 8+ x9 =

A: Given: f2x=3x2+8x For finding value of f'2, we differentiate given function with respect to x

Q: Express:   5 m2 as  cm2   800 cm2 as m2   30cm2 as mm2

A:

Q: -2x -dx - Evaluate (1-x)' 8 А. х* + 6х- In(1-х)' + 1-х 8 -(1-x)* +C С. х? +6х+ In(1-х)' +- -(1–x)*…

A:

Q: Compute L^−1{ 2e^−3s/s^2+3s+2}

A: Given,            L-12e-3ss2+3s+2

Q: 8) Find x if mZTUV 70°, mZDUV 6x, %3D and m2TUD= 4x+ 10. %3D D

A: Given  m∠TUV=70∘m∠DUV=6xm∠TUD=4x+10

Q: Compute the following. 2/7-26x-$dx 18x2/7- 26x -5dx

A:

Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

A:

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

Q: Evaluate dz (z–2)5/3 O -4/3 O 4/3 O Divergent

A:

Q: 1. Differentiate: y = 3(x²-1) A. (In 3) 3(x²-1) B. (2x) 3(x²-1) C. 2x (In 3) (3**-1) D. x²(In…

A:

Q: 13. If mED = (9x-3)', mBF = (15x – 39)', and MZBCF = (11x-9)', find mED. %3D D.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Show that 3n2+8nlogn is big-Oh (n²)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Why ane absoluete value bars necelsary in the ancuees for some integrels, and not in others?…

A:

Q: Find general colAion -4

A:

Q: 3 4 Evaluate [, S* 2dydx

A:

Q: 4. Verify that (¹)² (j³)² = j³² | j³² but (²)³ #jj² j2

A:

Q: 7. If SQ = 11x-26 and PR = 5x + 28. find PR. 7x-6 3r+ 14 Gina whon A ing Aigetra. LLC 2014201 8. If…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Compute the following. 7/9+15x³-9x d [ 3x 37x3+5x²+3 dx

A: We have to find derivative

Q: of th

A: Option B is correct.

Q: 'Prove that the relative error of a product of 3 non zero numbers does not exceed the sum of the…

A:

Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2…

A: We need to find upper bound on the error.

Q: In False Position method, if f(xl) is

A: Given, In False Position method, if f(xL) is much closer to zero than f(xU), it islikely that the…

Q: 2,5 is equal to . V162x O True O False

A:

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 60x + 0.5x2 −…

A:

Q: -y=In(5x -2x+1) 3 In n(5x² -2x+1 %3D

A: This is the problem of function.

Q: A media personality argues that global temperatures are not rising, because every year an increase…

A: Given that the difference between the temperatures of two consecutive years is 0.08  That means the…

Q: (4x'-7x* +2)-(-5x² +6x-7) 35. (-5x - 3x +9)+(5x' +4x-6) Sor 36. (38 (5x' -8x' +2)-(x' -x² +1)+(-4x°…

A:

Q: -2 In r dydx - К + 13 Лу

A:

Q: 13. The fxs xsin 3xdx is equal to

A:

Q: Express in both (6+j5) ® (-16-j9)

A: 16+j53 x+jy3 and x=6, y=5∴r= 62+52r=36+25r=61and α=tan-156=39.81°θ=180+39.81=219.81Polar form…

Q: 11. In x²y²z 2,

A:

Q: y = In 7+4x 7-4x %3D 28 (7 + 4x) (7-4x)

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.