Question 1 S 4 e-3*dx = a) 흥(e-Sr) + C Ob)흑(e-2) + C c) 4x (e-3r) + C O d) –2(e-24) + C O e) None of the above

Q: 12) Show (P,t,') 으(KDO) Hint: f. 12 →K, fa)=]

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Q: QUESTION 1 Let E = {qEQ: -n<qs2} then Sup E = and Inf E: %3D %3D %3D For the toolbar, press ALT+F10…

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Q: chen*(5) wave ps.wen & " 1.(4) (^) 你 尝 WP *$.$ s'ta) 109, F"0"

A: Topic:- derivatives

Q: Question* %23 Let E = Q(V3, i). Then, |Gal(E/Q)| %3D O 1 4 3

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Q: Question 11 |In |25- x² -dx , if we let u=V25- x² , then udu= - xdx. T True F False

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Q: 6. Solve the following Cauchy-Euler equation. (Section 4.7) x?y" + 5xy' + 4y = 0

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Q: Question 2 [§2 Q1] If An = {r |x = kn, k € Z}, fimd %3D (a) A2n A5; (b) U An, for n e N. n=1

A: Given An = { x | x = kn, k∈ℤ } So here A1 = { ..., -3, -2, -1, 0, 1, 2, 3, ...}A2 = { ..., -4, -2,…

Q: what is the slope and y intercept

A: Slope-intercept form: y = mx + C where m = slope and     C = y-intercept

Q: Question 7 -1 0 0 3 2 1 Let A = PDP- where P= and D= Then A equals %3D 1 1

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Q: Chapter 6, Section 6.3, Question 004 Use the Fundamental Theorem to evaluate the definite integral…

A: To evaluate the given definite integral.

Q: (page:160): Solve the given nonl. ly = x² – 9 1: 2x + y = 3 Sy2 – x2 = 28 X – y = 14 4:

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Q: Question 6 Use the substitution method to compute 9r e d. -- + K.

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Q: Solve using the U-Technique Question 10 For ſk*e3*dx = 1 (ke)3x 3 (1–In 2-1) If u = 3x, then k =?…

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Q: 70 119 app.edulastic.com Question 12/20 > NEXT I BOOKMARK 1 12 Water goes over a waterfall at a rate…

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Q: Chapter 5, Section 5.5, Question 022 Find [10f(x)-g(x)]dx if = 7 and 8(x)dx = 1. [10f(x)-g(x)]dx =l

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Question (1)  Prove , ez1/ez2  = ez1-z2

A: The given equation is: ez1ez2=ez1-z2

Q: QUESTION 2 Je" cos(5x)dx = 7x O A. (7 cos 5x + 5 sin 5x) + C 24 O B. (7 cos 5x – 5 sin 5x) + C 74 e7…

A: Please see the explanation below

Q: 11. Solve 2cos? e + Scose = 3, ife e [0, 27]. Show your work. Round to two decimal places, if…

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Q: Question 16 of 20 y'=8sin4x, y(0)=6 Select the correct response: O y-2cos4x+8 O y=2cos4x+6 NONE…

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Q: Question 7 A A) 4tan-1 (즐) + e 8 In |z? - 4| +e B | 2 In 2 Im | +e 2 In |z + 2| + 2 1n |z – 2| + c

A: The integral of 1x2-a2 is 12alnx-ax+a+c.

Q: QUESTION 5 Let a ={An :n €Z), where A =[-n, n]for each , E7. Then, NA nEZ %3D For the toolbar, press…

A: We have to find the infinite intersection of given set.

Q: 12 17 Find p, q if s" f(x) dx + fi2 f(x) dx = " f(x) dx. (Give your answers as whole or exact…

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Q: If y = E£o (k + 1) æk+3 then y' = Eio

A: A series representation of a function y(x) can be differentiated term-by-term to obtain a series…

Q: Question 10 Calculate the given integral: /2 sec°(4x) dx tan° (4x) tan (4x) +tan(4x) + C b) O tan'…

A: Given that  Integral 2sec^6(4x)  To evaluate the integral

Q: paper 2 4. INDICES AND SURDS 2012 J Q2 (b) Solve the equation 363y-5 63y 62y-1 216 y+6

A: Solution:-

Q: Question 4 A If efle) = 1+ z², then f' (z) = A в c) 2z (1+z²) D 2 (e) E) 2z In (1+ z²)

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Q: Question 5. Let A = {3r + 5s +8t| r, s, t € N, r = s+t} B = {3r + 5s +8t| r, s, t € N, r‡s+t} C = {n…

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Q: QUESTION 10 1 2 Let A and B then AB %3D %3D 0 2

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Q: = -21n|1-√√x-2√√x+C - dx = Statement 1: 1 Statement 2: S √ √ 171- -√x (A) Both statements are true.…

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Q: Part 4 of 5 Now we have the following. • T/2 xy ds = (3 cos t)(3 sin t)*(3 dt) - 7/2 • 7/2 8 4 sin t…

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Q: 9. cos x dx

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Q: 10 V25-x2dx 入

A: Given,

Q: Problem 3. Integrate by parts to prove: [ 1 Dup de ≤ c ( √ lu² dx) * (√, 1D²ul² de) ³ for 2 < p ≤ ∞…

A: Hint:   Using Garliardo-Nirenberg - Sobolev Inequality Let 1≤ p&lt;n .  ∋   C = C(n,p) such that…

Q: Question 6. Use Cramer's Rule to solve y + 3z 4y + 6z 5y + 8z 2.x + -3x + 30 %3D 8 %3D

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Q: Problem 5: Let z, y EV(G) show that if d(x, y) = k that lecc(r) -ecc(y)| ≤k.

A: Given: A graph G such that x,y∈VG and dx,y=k.   To show: eccx-eccy≤k

Q: s 1 s(s+ 1)² -1 +et+2te-t Option 1 2+te-t Option 3 - 1 + e-t2te-t Option 2 -2+te+e-t Option 4

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Q: Problem 8. Prove that if f : [a, b] → R is increasing (or decreasing) then SiS(x)dx exists.

A: Prove that if f:a,b→R is increaing then∫abf(x)dx exists

Q: Question 7 Sslanta 122-9) Identify the correct u A (2y²+3)2 B ® (2+3) © (2y²+ 3) D 4y4+12y²+9 E None

A: Identity the u=2y2 +3

Q: Find (5x-x)e* dx O(x-5x)e*-(2x-5)e"+2e* O (5x-x)e*-(5-2x)e" +2e* O (5x-x)e"-(5-2x)e"-2e O…

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Q: Question 4 4.1.a q(t) = t°In(t³) q(1) = 2t In(e*) + *(: 2 5t 5 2t In In (t) + 5t

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Q: QUESTION 3 Given z=4+5i, What is arg z ? 0.896 – 2k Tt, k = 0,± 1,±2,... 0.896 + 2k Tt, k= ±1,±2,...…

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Q: Question 18 Consider Evaluate O (9x4+6x)e (x3+y2) O (3x²+6x)e «³+y?) O (6x²+ 3x)e «³+y?) O (6r*+9x)e…

A: Topic = Derivative

Q: dr 3. Find if r= s+1 and s =161² – 201 . dt S

A: Given data is : r=s+1 and s=16t2-20t To find the value of drdt

Q: Question 12 S dy =2/y- 5inlVy+5|+c Vy +5 A True B) False

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Q: nse in Fig. if R d charge are zero

A: The voltage v(t) is calculated as

Q: (-1)1 an= 20-1 Converae bierge?

A: Convergent

Q: Question 3 a) 5w Given x = 2w-y 5w Diberi x = 2w-y Express w in terms of x andy. Ungkapkan w dalam…

A: Given that x=5w2w-yTo express it in term of x and y

Q: (5) Based on part (4), the solution of the problem (E) is: a. u(x, t) = v(x, t) + e" – x + 1. b.…

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Q: Question 10 Simpli fy (1+ j)® O 16+16j O -4(1+j) O -4+j O -16(1+j)

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Q: Question 21 6土V36- 4(2)(9) Which shows a solution for the equation 5z? + 6z + 2= 13? so 10 x = 1.2…

A: we will solve this