6. 4 Using the Fundamental Theorem of Calculus find the exact value of dx . -2 O 12(36 – VA) O 12(V36 + V4) O 12(Võ+ V2) O 6(V6 – V2) O 12(V6 – V2) O 6(V6 + V2)

Q: 1) Use the equation y = f(x) from part 1) and solve for x = g(y) as a function of y. = f(x)=7x=49…

A: We have to use the equation y=f(x) and solve for x=g(y) then we have to find L

Q: if 2E2, f(2)= 12₁² find @if 20 then f/2) not exists Oif 2=0 then find f(z)

A: Given that fz=z2, then find  1) If z≠0, then f'z not exits. 2) If z=0,then find f'z.

Q: 11. What is the second term of (m + n)? O 125m*n O25m'n O25m O5m*n 12. One zero of flx) =x' + 2x-…

A: Solution: (m+n)5

Q: Find u x v, v x u, and v x v. u = 5i + 9k v = 2i + 9j – 4k. (a) U X V (b) (c) v x v

A:

Q: Q1- Find the roots of the equation w=V-21 ?

A: 1) to find four roots of 4√(-2i)

Q: Exercise 1: Let X be any set and consider the set of all functions S = {f: X → R}. Notice we can add…

A:

Q: Q5 Suppose that X₁ and X₂ have a joint pdf zero otherwise. f(x₁, x2) = (2/3)(x₁ + 1), for 0 < x₁ <…

A: Given that the joint pdf of X 1 and X2

Q: 28 If √1− xº + √1− yº = a³(x³ - y³) lf dy 1-y6 2 x²

A:

Q: 3. . хр x*dx V(x2-9)3

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Q: Derive the autocorrelation function of: x₁ = $xt-1 + εt + 0€t-1 assuming that p < 1, and E(?) = 0²,…

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Q: Evaluate using Trigonometric Substitution: dx c² –6x+5 None of the choices. Please refer to my…

A:

Q: 6-2 x and y are independent and uniform in the interval (0, a). Find the p.d.f. of (a) x/y,

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Q: - CLE Bot 7 ! F2 2 O Rewrite the expression * Student can enter max 2000 characters F3 XGBIU FEQ #m…

A:

Q: Evaluate D 6 |3x|√9x²-4 3 2 sin-¹3-sin-¹ 3 tan¯¹3-tan -1 1²/24 sec ¹3-sec dx sec-1³/12

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Q: dx Show that f - In|ax + b| + C where a # 0. ax+b

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Q: Evaluate the following: (9 + e-ºt) 5(t - 2) dt = (9 + e -ºt) 5(t — 9) di c. * (9 + eº) 5(t) dt = a.…

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Q: [c] If x 0, then -0 and

A:

Q: |2x+1 2x 1 f(x)= |2x 5 g(x)= 3 functions how much ? 2x 3 1- O A) 256 O B) 64 O C) 32 OD) 16 OE) 128

A: f(x) = 3(2x+1) -5(2x)         = 3(2x.2) -5(2x) = 2x  g(x) = 3(2x) -2x = 2(2x) = 2x+1

Q: 5x + 5 If f(x) find: 5x + 5' f'(x) = | f'(5) = |

A: Given: fx=5x+55x+5 here  5x+5≠0⇒5x≠-5⇒x≠-1 and  fx=5x+55x+5=1 when x≠-1, To find: f'x and f'5.

Q: 3. Let = (₁, ₂) and 7 = (v₁, v₂) and let ||u|| = 2 and ||v||= 2. (a) Find the smallest and the (b)…

A:

Q: Evaluate ( ax"+5ax*+12ax*+llax²+3ax+10a x4+5z³+14x²+17x+7 dx * + 24. + In |a2 + 3x + 7| - arctan In…

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Q: (7) Let (x, y) € R × R. Consider the following functions from R² to R² a((x, y)) = (-x, y) and…

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

Q: Evaluate (t? + 6) (t² + 9) dt using the Fundamental Theorem of Calculus, Part 2. | (t? + 6) (t² + 9)…

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Q: What is the dependent variable in the graph? HK- hoight (in feet) -7- 5- 4 N= time (n sec.) 9 o N.

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Q: 2x+5 Jika fungsi f (x) dan f-(a) = 2, maka nilai a adalah ... x+1

A:

Q: 6) Let f f(x)dx 16, f(x)dx 10, fdx 5 then f(x)dx = A)-1 C) 31 B)-11

A:

Q: Question5. Let f(x) = cos x, Xo = 0, x, = 0.6, and x2 = 0.9. (a) Use cardinal/base functions to…

A: Since you have asked multiple questions, we will solve first question for you. If you want other…

Q: 1. If the pdf is 2*-2e8x-4x² , 0 < x < 1 Find K K

A: The pdf is given as: f(x) = 2x - 2K e8x-4x2 ,0&lt;x&lt;1