Let 13/5 f(x) = x¹¾/5 and g(x)=x11 what is (f(x)) 8 (g(x)) ³/5 ?

Q: In each case, select the function that dominates the other as x → ∞o? (a) O 50x² (b) 0.02x³ O In(x +…

A: limx→∞0.02x350x2=limx→∞0.02x50=∞    Therefore, 0.02x3, will dominates over 50x2

Q: If f(x) (a) f(x), (b) 3f(x) = 6x10, find the following when x = 4: (c) f(3x). (a) f(x) = 14 (b)…

A:

Q: f ( x ) = 5 x + 2 at x = 7

A: Given: f ( x ) = 5 x + 2     To determine: value of f(x) at x = 7 i.e, f(7)

Q: Given that f(x) = 3x/x-9, for what values of x does f(x) = 4/5?

A: To calculate the value of x.

Q: 1. g(x) (x - 4)2/2

A: Find g’(x) and equate to 0 to find the critical point.

Q: What happens to this base function that went from  a(x)= x2 to  h(x) = -x2+ 4 and why it happened?

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

Q: The total cost of owning and operating a certain piece of equipment for xx years is given by:…

A: To find the total cost for x=20 yrs

Q: If h(x) = (4x – 7)/5   then h-1(x) =

A:

Q: Given f(x) = 7 + 3  /  8  , then f-1 (x)  will be?

A:

Q: f(x)=5sqrt(x+2) at x=7

A: Given: f(x)=5x+2f(x) has domain x≥-2

Q: | [10f(x) – g(x)]dx if Find 5 5 f(x)dx = 7 and g(x)dx = 6. %3D | [10f(x) – g(x)]dx = i

A:

Q: If f(x) = x*3 − 6/x, find the following:a) f(-1/2)b) f(2)c) f(-2)

A: Answer: a) -27/2 or -13.5

Q: For f(x)=4xand g(x)=x+5 find the following. a.(f◦g)(x)                            b.(g◦f)(x)…

A:

Q: [cx)= (x+1) 「cx)-(x_)[cxー1) (xー1)「cx-1) [(-x)= [(1-x) |

A: Γ(x)=∫0∞tx-1e-tdt  for x>0Γ(x+1)=∫0∞txe-tdt =-txe-t0∞+x∫0∞tx-1e-tdt=xΓ(x)⇒Γ(x)=Γ(x+1)x Now,…

Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: Given that f(x) = 7x - 8 and g(x) = 1 - x², calculate (a) f(g(0))= 0 (b) g(f(0))=

A:

Q: 2 x zsin(y) – y arccsc(z) = 0

A:

Q: [6f(x) – g(x)]dx = i if f(x)dx 5 and g(x)dx 10

A:

Q: If f(x) = /3x and g(x)= /3 , then (f.g)(x) is NONE XV3

A: