Use the position function below to solve the following problem. A projectile is fired vertically upward from ground level with an initial velocity of 48 feet per second. During which time period will the projectile’s height exceed 32 feet?

Q: If an archer shoots an arrow straight upward with an initial velocity of 160ft/sec from a height of…

A: If the arrow reaches the ground then h(t)=0…

Q: Find b, if the function f(t) = t?.

A: This is a Fourier analysis question. Lets solve it.

Q: Find the equation of the function g(x) described above.

A: We know that if the graph of function y=f(x) is stretched by a units(a>0, shifted to the right by…

Q: NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time…

A: Given, NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function…

Q: A ball is launched vertically upward with a velocity of 256 ft/s, so its position function can be…

A: Given that, s(t)=-16t2+256t

Q: This function has: 1) A y intercept at the point 2) x intercepts at the point(s)

A: Given,  fx=2x2+11x+123x2+10x+3 The x-intercept, y-intercept, and vertical asymptotes are to be…

Q: Examine the following functions for maxima-minima and trace the curve a. Y=x* + 1 a?x b. Y= a² –x²

A:

Q: Consider the function y = f(x) with the graph below. %3D

A: The given graph is

Q: The finance department of Tayitu Company conducted a study of their weekly sales in the past years,…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the weekly sales at…

Q: A jogger ran 4 miles and then walked 2 miles. The average velocity running was 3 miles per hour…

A: Given  A jogger ran 4 miles and then walked 2 miles. Total time is T  The average velocity of…

Q: If the position function of a moving object is 5(t) t-3t +2 meters from zero in t seconds, then

A: Consider the position of a particle is given by the function x(t). The average velocity of the…

Q: An environmental engineer develops a function C(s) that gives the concentration in parts per million…

A: C(s) = Concentration of the pollutant in ppm s = Distance from the point where pollutant is…

Q: The space vehicles are supplied power from nuclear energy derived from radioactive isotopes. The…

A: Let's find.

Q: Find the directions in which t and decrease most rapidly at function in those directions.

A: given function fx,y,z=lnxy+lnyz+lnxz           =2lnx+lny+lnz             ∵lnxy=lnx+lny to find in…

Q: Two cars start at the same time and travel in the same direction along a straight road.  The…

A: Given velocity of car A and car B as a function of time t is,

Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea level, as a function of…

A:

Q: The daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function…

A:

Q: Use the position function s(t) = -16t2 + v0t + s0 to solve: A projectile is fired vertically upward…

A: The position vector is given as  s(t)=-16t2+v0t+s0 here v0=48 ft/sec s0 is the height at ground…

Q: A pebble is embedded in the tread of a rotating bicycle  wheel of diameter 60cm. If the wheel…

A:

Q: As a cold front moved through a midwestern city, the temperature dropped at the rate of 3F per hour…

A: Given: Rate of change in temperature between noon and 8 p.m. = -3∘F. At 1 p.m. the temperature was…

Q: Determine the point(s) at which the graph of -8x f(x) 2x - 1 has a horizontal tangent. (x, y) = Need…

A:

Q: Plot the following functions 1. y = -V2x +1 2. y = (x- 1)3 + 2

A:

Q: Differentiate the following function.   y = xe

A:

Q: Which of the following functions grow faster than x2 as x→∞?Which grow at the same rate as x2? Which…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: One company buys a new bulldozer for $126400. The company depreciates the bulldozer linearly over…

A:

Q: Two ships leave port at the same time. One sails south at 18 mi/h, and the other sails east at 24…

A:

Q: Use the graph of the function f to find approximations of the given values. y 4-

A: To find the values of f at x= a,  we imagine the vertical line x=a and where the vertical line…

Q: Find the function g(x) which is obtained by reflecting the graph of f(x) about y axis and moving 2…

A: solution

Q: Differentiate the function.   y=e^0.5t

A: Refer to the question, we have to find the derivative of the provided function y = e^0.5t.

Q: Which table is related to the parent function of y= z?

A:

Q: What is the closest value to the instantaneous function at x = 2? f(x), 2x-1 3x+1 O_1 49 O. 49 1 49

A: A function f is said to be continuous in the open interval (m, n), if it is continuous at each point…

Q: Use the position function s(t) = -16t2 + v0t + s0 to solve this problem. A projectile is fired…

A:

Q: A projectile is fired vertically upward with a velocity of 96 ft/s, so its position function can be…

A:

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: What is the equation of the function that is obtained from f (x) = | x | by reflecting about the x…

A: Given information:The given function is

Q: Find dydx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

A:

Q: Find an equation of the line tangent to the graph off(x) at the point (5, 9):f(x) =e^(x^2−3x−10)+ 8

A:

Q: y = Va+1-3

A:

Q: Given the position function s =² + 9t – 5, what is the instantaneous rate of change at t = 3? o 15 O…

A:

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: The path of flight (trajectory) of a football thrown by a quarterback is described by the following…

A: We are given the function y(x)=-0.002x2+0.7x+7  where y = vertical position of football relative to…

Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

Q: If an object moves along a line so that it is at y = f(x) = 9x-2x at time x (in seconds), find the…

A: Given query is to find the instantaneous velocity of the object using derivative.

Q: Use the given graph to estimate the value of each derivative. y = f(x) 1 1 (a) f'(-3) |-1.5 (b)…

A:

Q: Differentiate the function. y = In(12 + t – t³1) y' =

A: Here we differentiate the y with respect to t

Q: The size P of a certain insect population at time t​ (in days) obeys the function P(t)=800e0.08e…

A:

Q: Which of the following functions grow faster than x2 as x→ ∞?Which grow at the same rate as x2?…

A: Let f(x) and g(x) are two functions. 1) If limx→∞fxgx=∞ then f(x) grows faster than g(x) as x→∞. 2)…

Q: A ball is thrown into the air with an initial upward velocity of 48 ft/s. The height () of the ball…

A: Given, initial upward velocity = 48 ft/s h(t)=-16t2+48t+4

Q: The distance, s, of a moving body from a fixed point is given as 24ei. Find the velocity, v, of the…

A: We will find out the required solution.