(4) VL1, L2 ((L1 UL2)* = L₁* U L₂¹).

Q: O (CA)' = (cl*]) - [ca - [ca - cl27] - C(A') O (CA)T = (cle])" = [ca]' - [] = c[ed] = cta™) O (c4)T…

A:

Q: Question -2x2 + 4x dx J (x² + 1)(x² – x)

A: Given: ∫-2x2+4xx2+1x2-xdx

Q: (5) 2x+1|s3

A: As per our guidelines we are supposed to solve one question.Pleaseresubmit the other question…

Q: Separable DE) y'ln² y + y√√x=0 y(0) = e

A:

Q: (v) er-y de +e**"dy = o

A: We will solve the differential equation by the method of separation of variables.

Q: In(x²) What is the derivative of

A:

Q: (b) Isolate дет 11 2x 5 = 1/2gt²2² + vt

A: To isolate  in the following equation.

Q: Differentiate the following: a) y = ln(5x) (b) y = In In(³) (c) y = In(x³)

A: As per guidelines , At a time only three sub-parts of a question can be answered.Please repost for…

Q: 3. (4r*y² – 6r²y – 2r – 3)dr + (2r^y – 2r)dy = 0, y(1) = 3

A: The given equation is exact.

Q: Using Differentials, approximate (4499)2-(401)2 AM

A: To approximate: 4.9992-4.012 Let, z=fx,y=x2-y2x0=5, y0=4 For the function z=f(x, y) at the point…

Q: find the pauticuler soluhion fr + loy = x'_e*sin(8x)

A: Solve particular integral in above differential equations.

Q: 2 sin x - x dx = ? 22n (a) (-1". 22n+2 (b) E(-1)" - (2n).(2n)! (2n + 2).(2n +2)! n=1 n=1 22n+1 8.…

A: Consider the given information: To find the integral ∫02sinx-xxdx. Here option (c) is correct.

Q: dx J x (In² x – 6 ln x + 10)

A: SOLUTION-

Q: (c)mm [ex ₁F₁ (a:c:x)]=(-1)" (c-a), e¯* F₁ (a;c+m;x).

A:

Q: solution

A: Please refer to the image below

Q: Can you help me see how this problem is equal to ln3! Ty!

A: Given limit, limx→∞1x+41x ln3

Q: What is the inverse of the function f(x) = e* – 2 ?

A:

Q: 6) Consider the exponential function f (x) = ex* [C:4] a) Determine the n-th derivative of f(x). b)…

A:

Q: e"+e (1) V 23 + 1 dx by speculation . x=e"+e-T (2) Use (1), if necessary, to evaluate L +1 (-) de V…

A:

Q: S 8x dx/1+4x? (x = 0 to 1/2) * O In (2) In (6) O In (4) If y = (x? - 1)/(x² + 1) then dy/dx 2x / (x2…

A: Q-1 : I=∫01/28x1+4x2dx =∫01/2ddx(1+4x2)1+4x2dx (∫f'(x)f(x)dx=lnf(x)) =[ln(1+4x2)]01/2…

Q: Let a) Given that In (y) can be written in the form What are the coefficients A, B, C, and D? −3x ¸…

A:

Q: A) Differentiate y = 4Vx +- + 10 8 B) Find the second derivative of y = 4Vã + + 10 C) Find the…

A: As per our guidelines  we can solve only  3 subparts of a question . The rest can be reposted.  In…

Q: 6x +1 12. j ** dx = x +9 A. 6ln(x² +9)+ 3arctan +C 3 B. 3ln(x +9)+ arctan +C 3 1 C. 3ln(x²…

A:

Q: d dx (f³x²) = ○ 6x63x² (In b) ○ 6³x² (6 ln b) 6x6³x² ○ xb³x² (ln(6b))

A:

Q: If 40 f(x) dx = 13, then compute the value of the following definite integral. 20 8 fºr(² f(5x) + 4…

A: By the answering guidelines of Bartleby, we can answer only first question from multiple questions,…

Q: Find and for the following ду x²y y4 +3 (b) ƒ(x, y) = ln(1+x²)e¬¤y (a) f(#, y} -xy

A: From the given data:

Q: (a) Find: L{(e + e*)?} -t (b) Find : L 2+11 } 2s (c) Find: L{421

A: a) Le-t+e3t2Le-t+e3t2=Le-2t+2e2t+e6tF(s)=Le-2t+2Le2t+Le6tF(s)=1s+2+2s-2+1s-6F(s)=1s+2+2s-2+1s-6

Q: +ay'- - 3X = 0

A:

Q: Determinewhetherthefollowingsequencestendtoinfinityandgiveafullargument establishing your…

A: To determine whether the sequences tend to infinity, we need to analyze their behavior as n…

Q: If y' = x√(ey) + (y/x) Then, e(y/x) = ? a) (-1 / Cln(x)) b) (-1 / C + ln(x)) c) (C / 1 + ln(x))…

A:

Q: Suppose a company's earnings are given by E(x) = P(x) + I(x), where x is the number of years since…

A: Given,    E(x) = P(x) + I(x)    Where P(x) = 1.2x+2               I(x) = 0.35x +1