Suppose a 15-inch candle is lit and steadily burns at a constant rate of 1.6 inches per hour. Let t represent the number of hours since the candle was lit, and let l represent the remaining length of the candle (in inches). a. Define a function ƒ that represents l in terms of t. (Your answer should be in the form f(t)=...) f(t)=t*1.6 Preview b. What is the (practical) domain of f? Enter your answer as an inequality. 1.6<=f<=15 Preview c. What is the (practical) range of f? Enter your answer as an inequality. 0<=f<=15 Preview

Q: Find the domain and range for the following function; y = -V1 - x2

A: Explanation Given that,  y=-1-x2     Concept Used: Domain: Domain is the set of all real numbers…

Q: -бх +3х?-2х +1 y =

A:

Q: A rectangular box is to have a square base and a volume of 30 ft3. The material for the base costs…

A:

Q: The value of a photocopier t years after purchase is given by V(t)=9000 - 900 t pounds.    a.) Find…

A: Explained below...

Q: Q/ Convert the function ...... . a. to lincar. function: 1) y= ax²+ b 2 aX.+ 9. ....

A:

Q: 1. Н: у%3DNx+1 g: y= x| 2.

A: We can draw the graph and find domain and range as below

Q: Evaluate the following function at the indicated values.

A: R(t) = (1/2)3t Observe the function carefully

Q: A. Plot the following function with clearly labelled axis. x(t) = [1, -2<tsxl, and [0, otherwise]

A:

Q: A computer shop charges Php 20 for every hour of a computer rental. Represent the computer rental…

A: The computer shop charges Php 20 for every hour  Therefore it can be expressed using function of…

Q: Graph the functions in excercise

A: Given function, y=x-13-1

Q: Graph the following functions: . 1. y = x at n = -2, -1, 0, 1, 2, 3. 1 1 3 2 2' 3' 2' 3* 2. y = x at…

A: Consider  y=xn     at  n=-2,-1,0,1,2,3y=xn       at n=12,13,32,23

Q: 7. A computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and…

A: A computer shop charges 20 poses per hour for the first 2 hours and an additional 10 poses for the…

Q: F: y=x² +2x+1

A:

Q: During one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of…

A: Consider the given data.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.