B A Proved (K²_K²'²') (1-²²k²a) (K+K) ² - (K-K) ² 21P9 A(KIK)- BLK-K') = F (K+K ² ) e A UKK KK 9 e (K-K) ² - (K-K) ² e² 1(K-F) q शारेव

Q: A) L{t//4} : (5/4)! a+5 B) L{u-2(t)} C) L{e"u(t)} 8- 5 3! D) L{t*e"} = E) e{icm (;)} 5Cos s(s – 2)…

A: A is false  B is false  C is true  D is false  E is false  The detailed solution is as follows…

Q: If g(t) = (√t 4) (√t + 1), then: g'(4) =

A:

Q: Calculate s'(n) (8n + 5 s(n) = 2n-6/ 6

A: The given function is s(n)=8n+52n-66 To find the s'(n). Derivative formula:…

Q: f(x + h) – f(x) f'(x) = lim h-0 %3D h bsnd Diffeentinble A) 7xh2 B) 9x2h C) 5x2 D) 9x2 5) Given (x")…

A: Given that: 4. f(x+h)-f(x)=9x2h+7xh2+5h35. (xα)'=αxα-1

Q: Let F(x) = f(x7) and G(x) = (ƒ(x))¹ . You also know that a = 7, ƒ(a) = 2, ƒ'(a) = 15, ƒ'(a¹) Then…

A:

Q: Given f(x) = 1 –(5+ 10x) + (5 + 10x)² – 27 (5 + 10x)³ then f'(x) =, %3D - (5 + 10z) – ( 5 +…

A: f(x)=1-32(5+10x)+94(5+10x)2-278(5+10x)3 Then f'(x)=0-(32×10)+(94×2×5+10x×10)-(278×3×(5+10x)2×10)…

Q: 0. Reciprocal Substitution (x´ - x')"3

A:

Q: (14) Find two different reduced systems of residues modulo 8.

A:

Q: |x²V4x+1[ 5. Find f'(x) if f (x) = ln (x3+5)³ (x³+5)* |x²V4x+1[ A) f'(x) = * In x²V4x+1 (x3+5)³ B)…

A:

Q: (B) 3 (C)2 If D* f (x) = 2f (x) D(f (x)), then (D*(x/nx)), is- (A) 4 BYA 16

A:

Q: 4) Let f(x) = - ax"+1 and a x) = 4X-3 5:) f(x) = Fxan? find the 3 first f,g and h. uch that (fo gohl…

A:

Q: HW: Solve (1) * s2 ans/ [-1, =) (2/3, ) (13/3, ) (-, 4/30] (5) [4, )

A: According to the guidelines of bartleby i have done only first three questions please ask rest of…

Q: s2+10s+34 2s+10 If F (t) = L-1{ find F (0) s2+10s+34 O -2 o 1 O-1 o 2 Previous Nez

A:

Q: 7) Find f(x) if f(x) = (103x + 2)2. a) 6 In 10 10x + 4 b) 6. 106x 105x + 3 c) (6x + ○ 4) 4) 106x d)…

A: Topic:- application of derivatives

Q: of n if each function had to ensure that the error of the method is 0.0005 find the approximate…

A: We will use formula for trapizoidal rule and its error

Q: f(t) = e^3t - cos(6t) - (e^3t)(cos(6t) * O F(s) = 1/(s-3) + s/(s*2 + 6*2) - (s-3)/(s*2 - 6x + 45) O…

A:

Q: ( 9) (2D - D') ( 3D + 2D' + 4)(D² - D')z = 0

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: X(s)=(s^2+6s+7)/(s^2+3s+2) and Re{s}>-1 what is x(t)?

A: We are given : X(s)=s2+6s+7s2+3s+2 ⇒X(s)=s2+3s+2+3s+5s2+3s+2 ⇒X(s)=1+3s+5s2+3s+2 ---(1) Now,…

Q: 25 (6x + 5)³ But Do NOT use the Quotient Rule. a) Let f(x) = = f'(x) = Find f'(x). b) Let g(x) = 6…

A: We have to find the firstd erivative of the given functions.Recall some basic formulas: ddxxn=nxn-1…

Q: (x-1)e* dx x2

A: As we know that from integration by parts: I=∫udv=uv-∫vdu

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: I get the meaning of subscripts much better now, but I don't see how Sn(1-r) = 1- r^(n+1).....…

A:

Q: If f(x) = 3x² +5+ (4x – 3)* | , then f '(x) is - + 5+ (4x – 3)*]" [4(4x – 3)'] B. [3* +5+ (4r -…

A: Given:            fx=3x2+5+4x-349 Solve: f'x           ddxfx=ddx3x2+5+4x-349

Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3)…

A:

Q: 4) f(x²+2) lnx dx = a) (+x) Inx--x+c b) (+2x) inx--2x+c c) (x² + 2) lnx--2x+c d) None of the above

A:

Q: f(101) f'(101) 100 49 If f(x)= II (x− n)n(¹101-n), then find n=1

A:

Q: Prove for r ≠ 1 that ∑_(k=0)^(n-1)(rk)=(1-rn)/(1-r). If ∑_(k=0)^(n-1)(rk), then compute s(1−r) =…

A:

Q: Find the value of f(-1) when ƒ"(t) = 6(2t − 1) and ƒ'(1) = 6, ƒ(1) = 1.

A:

Q: 9. Given that 00 2n+3 f x) - Σ(-1)" (2n +1)! n=0 Find f '(0)

A:

Q: Find u, v, and ||u + v||. 4, (a) ||ul| (b) |v|| (c) u + v 'T) = A

A:

Q: Find the arc length (s) of the curve 7(t) = (e*, 4e", - 2et) for 0 <t < In(5) |

A: we are given the curve  r→(t)=e5t,-4e5t,-2e5t =e5ti-4e5tj-2e5tkwhere 0≤t≤ln5

Q: Substitute the value of y' in 1 + (y)²

A:

Q: Show that -E{t, log(sigma(w*x)) + (1 – t;) log(1 – sigma(w"x;))} = E, log(1+ e-yw* x %3D Where…

A:

Q: d[cos(x*)] dx (2k+1)! (-1)*2,* - (2k)! .(-1)시2x4~2 (2k+1)! (-1)*2x*-3 E (2k+1)! None (-1)*-'2x*-1 E…

A:

Q: 2) f(n)=10 - 2" at n= 5

A: