1. If x changes by 2 per min, how fast is y=x³ changing when x=2?

Q: The empirical equation L = 1 + 4x10-5t + 4x10-/t2 gives the length of a certain metal rod as a…

A: Given that    The empirical equation L=1+4×10-5t+4×10-7t2 gives the length of a certain metal rod as…

Q: At a crime scene, a forensic technician found the body temperature of the victim was 33◦C at 6:00…

A: Given body temperature of the victim was 33°C at 6:00 p.m.One hour later, body temperature of the…

Q: the average rate of change 5/-3  greater or less than the rate of change of the linear function…

A: To determine rate of change

Q: The size of a population of lions aftor t months is P 100(1 0.21 0.021). Find the growth rato when…

A: Given P=1001+0.2t+0.02t2

Q: what happens if we have a situation of a rate of approximately 2 diepers change every 0.9 hour?

A:

Q: Suppose that P dollars are invested at a nominal interest rate of r compounded continuously. Find an…

A:

Q: The equation V (t) = 50000 (0.92) models the value of a car after "t" years. To the nearest whole…

A: Years

Q: The concentration, C in parts-per-thousand (ppt), of a pollutant in a river during the manufacturing…

A:

Q: Approximate to four decimal places f(x)=ex when x=-2.7183

A: Given function is f(x) = ex  Given that x = -2.7183

Q: 3. Let h(x) = x - 4 and g(x) = x² + 2x A) Find h( g(2)) B) Find g( h(x)) (find the composition of g…

A: Given data :  h(x)=x-4g(x)=x2+2x

Q: 3.1 A streetlight is 8m from a wall and 4m from a point along the path leading to the wall. The…

A: We  need to find rate of length shortening.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: Given: The half life of Radium- 226 is 1590 years. If a sample contains 500 mg. To find: How many mg…

Q: Suppose that y varies directly as the square root of x, and that y = 30 when x = 100. What is y when…

A:

Q: In mid to late March a COVID analyst predict the number of US cases could be modeled by the function…

A: Given: In mid late March a COVID analyst predict the number of US cases could be modeled by the…

Q: Give the procedure to fit the following exponential curves, (i) y = a ebx

A:

Q: If the growth rate of the number of bacteria at any time (t) is proportional to the number present…

A:

Q: Graph the functions in excercise

A: Our Aim is to graph the function given below:-y=1-x2/3  -(i)   x 1-x2/3 -2 -0.58740105 -1 0…

Q: 1. What is the instantaneous slope of y = 5 at x = 5?

A:

Q: Suppose that a new employee starts working at $7.66 per hour, and receives a 5% raise each year.…

A: P=7.661.05t take P=10 10=7.661.05t 7.661.05t=10 1.05t=107.66 1.05t=1.305483028 ln1.05t=ln1.305483028…

Q: A circle is inside a square.The radius of the circle is decreasing at a rate of 1 meter per minute…

A:

Q: Find the rate of change of the arts of a rectangle at the moment when it’s sides are 40 meters and…

A: We have to find the rate if change if rectangle area.