Vertical Height in t 25 20 15 10 0 0 10 20 Horizontal distance ft 30 40 50 60 The x- and y-positions of the rocket (measured in feet) vary with time t (in seconds) according to the equations x(t) = 25t y(t) = -162 +41.6t (a) Evaluate x(0) and y(0). Write these values as coordinate pair. (b) What do the function values (x(0), y(0)) represent in the context of this problem? Ox(0) = 0, y(0) = 0 represent the initial time at the x- and y- positions of the rocket. Ox(0) = 0, v(0) = 5 represent the initial time at the y- and x- positions of the rocket. Submit Assignment Quit & Save Back Question Menu Next

Q: 80 Height (metres) 40 Y 5 10 15 Time (minutes) 20 25 30

A: A graph of the trigonometric function is given, we have to find the equation of the graph.

Q: Given f(x) and g(x) below, find f(g(x)). f (x) = vx+ 2 8(x) = 8x – 6

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 2- Find the domain of the following functions:

A: Domain of a function is defined as the set of all possible inputs.

Q: Determine which of the following equations defines y as a function of x. (a) x-y = 16 (b) x-2y = 8

A: x-y2=16 On simplification, we get ⇒y2=x-16⇒y=±x-16 Clearly for each value of x, there are two values…

Q: The figure 2 y 2. 8. 10 -1 of the function f(x) =

A: We will find out the required function.

Q: Determine whether the equation defines y as a function of x. y = 1/x

A: Given y=1x

Q: determine whether the equation defines y as a function of x.   2x2 + 3y2 = 1

A: Given that, 2x2 + 3y2 = 1

Q: determine whether the equation defines y as a function of x.   x + y2 = 1

A: Given- x+y2=1 To determine- whether the equation defines y as a function of x

Q: use the two given function to write y as a function of x.  y=2m-5, m=x+5 / 2

A: We have, y = 2m-5m = x+52 To determine: The expression of y as a function of x.

Q: Put the following equation in function using v as the independent variable

A: Solve the given equation for q :   18v-9q=36           9q=18v-36             q=2v-4

Q: Write an equation for a trig function which matches the graph below: (67, 8) (0, 5) (27, 2) 5. 10 15…

A:

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

A:

Q: In a room of temperature 68 °F, a thermometer reads 17 ° F • Later after one minute, the reading of…

A: Given that, Temprature of room (Ts) = 68oF Initial temprature (To) = 17oF Temprature after 1 minute…