g(t) = 71-7 if 0 < t <3 -1 if 3

Q: Showthat the function f(x) = (3/x)+7 is decreasing for x denotes R - {0}

A: We have to show that function f(x) = (3/x) + 7 is decreasing for x € R - {0}  We know that ,  f(x)…

Q: A cup of coffee has temperature 95°C and takes 30 minutes to cool to 61°C in a room with temperature…

A:

Q: Determine L-1{F} if -3s2 + 20s – 25 F(s) (8 – 3)(s² – 2s + 5)'

A:

Q: Suppose that f(x) = (x - 4)*.

A: At the point of inflection, f''(x)=0.

Q: -2x – 9 for - 5 < x < -2 f(x) = -4 for x = -2 -5 for - 2 < x < 6 Find f(2)

A: See value from function

Q: On what intervals is f(æ) = x³ +3x² – 24r+7 increasing? The graph is increasing on the intervals OD…

A:

Q: 45. f(x)={19x if –1<x<6 22 if x26 a) Find f (-3). b) Find f (2). c) Find f (75).

A: Given : x=-3 it lies in the range -5≤x≤-1 1) f(-3) is calculated as: =(-3)2-7(-3)+1=9+21+1=31 2) x=2…

Q: f(x) — 3(8х- х?)/256 for 0<x. Determine P(2<X<4)

A: It is given that,

Q: Let f(x) = - 4x+ 15 and g(x) =x² +14. Find f(5)- g(5). (5) - g(5) =|

A: Given that: f(x)=-4x+15g(x)=x2+14

Q: 3x + 7 if x -2 Of (1) = 10 and f (1) = 7 Of (1) = 11 Of (1) = 7 None of these Of (1) = 10

A:

Q: f(x) = [ 3x + 5 if x &lt; 0 and 4x + 7 if x ≤ 0]  Find : a. f(-2)           b. f(0)           c.…

A: Given, f(x)=3x+5 if x&lt;04x+7 if x≥0 To find  a. f(-2) b. f(0) c. f(3)

Q: Let f(x) = - 4x + 19 and g(x) =x -2. Find g(2)- f(2). g(2) - f(2) =

A:

Q: 2x : 1 3 is not one to one True False

A: Given: The function f(x)=2x : 1≤x≤3x   :  x&gt;3

Q: L{ 13/2 }

A:

Q: Find the intervals where g(x)= -2(4x+1)10 is increasing and where it is decreasing

A: Find first derivative using exponent rule and chain rule.

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: f(x) = x3 + 3x

A: if first derivative is positive in the that interval f(x) is decreasing

Q: 0-64 N

A:

Q: Let the rule f(t) represent the number of people, in millions, who own cell phones t years after…

A: At any given f(t) represents the millions of people who own a cell phone in the year 1990+t.

Q: True or False? In a hotel, 70 percent of the guests pay by American Express credit card. Suppose the…

A: Given that 70 percent of the guests pay by American Express credit card. Suppose the first X-1…

Q: 3t + 1 The domain of the function g(t) = t2 + 25 O R-{8} OR 5,5} O R OR-{-5} OR-{5} is

A: We have to check

Q: Suppose that in a certain biology lab experiment, the number of bacteria is related to the…

A: Suppose that in a certain biology lab experiment, the number of bacteria is related to the…

Q: Suppose that f(x) P(X<2) = 3(8x-x²) 256 for 0 < x < 8. Determine the following: P(X<9)

A: Given that  Probability density functions of X is  f(x) = 3(8x - x2)/256 for 0 &lt; x &lt; 8 Note :…