00 Edfinity 2 - (11.2) Calculus and V x + → c i edfinity.com/assessments/61f1d1c6e1abdf0020366d00?start=true Let c1(t) = (e-4, sin(2t), –4t*), and c2(t) = (e', cos(2t), 4t*) d [c1(t) · c2(t)] dt d [c1(t) x c2(t)] = i+ dt j+ k Submit answer +

Q: 4x2 + 3x + 2 If f(z) = then: f'(z) - f'(3) -

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Q: If f(x) = x + 7 and g(x) = x - 7, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an Question…

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Q: • prove that y` = = for y= (of (1+x)) 1+x²

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Q: (x- 1) (x– 2)(x+ 1) (x+ 2)(x- 3) (x+ 3) 2. Let f"(x) = and g'(x) = For what values of x are Az) and…

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Q: USE +¹ (f(x)) =X a] if yinv b] the value of the value of d] f (3) if 3 = f¹ (2) 1 √x-7 to inv…

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Q: T T 5x1 - x2-x3 (:))-[-²] x1 + 5x3 x1 x2 X3 3 Ex: 5 (*))] 2 Ex: 5 -4

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Q: Factor f(x)=2x^3+5x^2-83x+40 into linear fuctors given that -8 is a zero of f(x)…

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Q: iven F(X) = 4X+3, 9(x)= X²-5 evaluate (90F)(1)

A: Given,  f(x)=4x+3, g(x)=x2-5

Q: Let `f(x)= (9 sin x)/(2 sin x + 4 cos x)`. (9 cos x) (2 sin x + cos x) – (9 sin x ) ( 2cox – 4 sin…

A: Given f(x)=9sinx(2sinx+4cosx). The objective is to find f'x and equation of tangent line at π2.

Q: = a are given. Evaluate f(z) dr. on (b-a) +2 (ab - a) - 2 a+b) +2 a-b) - 2 II la + b) - 2

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Q: Given f(x)=3x+1, g(x)=√x+2 and h(x)=(x-1)', simplify each of the following functions and state any…

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Q: sin ( C + D ) =-------------------

A: Our Aim is to tell Sin (C+D)=?

Q: 4. y = (4t2 - t)(t³ – 8t² + 12) 5. h(z) = (1+ 2z + 3z?)(5z + 8z² – z³) %3D - %3D

A: To differentiate the following functions.4 y=4t2-tt3-8t2+125 hz=1+2z+3z25z+8z2-z3

Q: B) If fx) =-3x² +13 and g(x) =x'+8r-2; find the following. i) (g+f)(x) ii) Ax) - glr) C) 1) If f(x)…

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Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

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Q: 2 Identify f(x), g(x), and h(x) such that F(x) = f(g(h(x))) for the function F(x) = Vin(x+ In(x+ +…

A: We need to find f(x), g(x) and h(x) from F(x).

Q: If f(x) = x + 3 and g(x) = x – 3, (a) f(g(x)) : (b) g(f(x)) = (c) Thus g(x) is called an function of…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Consider two functions f(x) = 3x and g(x) = cos (sinx). Which one of the followings is an even…

A: • Properties of even and odd function. 1) Sum of two odd function is even function and sum of two…

Q: (1) Express j-3(x) in terms of Jo(x) and /+1(x)

A: Given:J-3x, J0x, and J1x. We have to express J-3x in terms of J0x, and J1x.