Tutors Answer Your Questions about Functions (FREE)
Question 200154: The path of a falling object is given by the function where vo represents the initial velocity in ft/sec and so represents the initial height in feet.
A)If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information.
B)How high is the rock after 1 sec?
C)After how many seconds will the graph reach maximum height?
D)What is the maximum height?
Click here to see answer by vleith(2983)  |
Question 200239: my question states graph the piecewise function f(x)= 2-x if x greater than or equal to 0 and x^2=x>0. I know you can't show me the graph can you tell me how to do this? My textbook doesn't explain this well at all.
Click here to see answer by vleith(2983) |
Question 200794: Throwing a wrench. An angry construction worker throws
his wrench downward from a height of 128 feet with an
initial velocity of 32 feet per second. The height of the
wrench above the ground after t seconds is given
by S(t)= -16t2 - 32t + 128.
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?
Click here to see answer by jim_thompson5910(35256) |
Question 200946: The following function computes the cost, C (in millions of dollars), of implementing a city recycling project when x percent of the citizens participate. C(X)=1.4x/100-x
a)Using the model, find the cost if 60% of the citizens participate.
b)Using the model, determine the percentage of participation that can be expected if $4 million is spent on this recycling project. Set up an equation and solve algebraically. Round to the nearest whole percent.
Click here to see answer by jim_thompson5910(35256) |
Question 201171: CAN SOMEONE HELP ME WITH THIS QUESTION.
Demand for pools. Tropical Pools sells an aboveground
model for p dollars each. The monthly revenue for this
model is given by the formula
R(p)= -0.08p2 + 300p.
Revenue is the product of the price p and the demand
(quantity sold).
a) Factor out the price on the right-hand side of the
formula.
b) Write a formula D(p) for the monthly demand.
c) Find D(3000).
d) Use the accompanying graph to estimate the price at
which the revenue is maximized. Approximately how
many pools will be sold monthly at this price?
e) What is the approximate maximum revenue?
f) Use the accompanying graph to estimate the price at
which the revenue is zero.
Click here to see answer by jim_thompson5910(35256) |
Question 201254: Let f(0) = 0,f(pi/2)=1,f(3pi/2)=-1 be a continous and twice differentiable function.
statement 1:|f''(x)|<=1 for atleast one x belongsto (0,3pi/2).
statement 2:according to rolle's theorem if y=g(x) is continous and differenciable for all x belongs to [a,b] and g(a)=g(b) then there exists atleast one c such that g'(c)=a.
choose the correct answer-
A. statement 1 and 2 are true, 2 is correct explaination of 1.
B. statement 1 and 2 are true, 2 is not the correct explaination of 1.
C. statement 1 is true, 2 is false.
D. statement 1 is false, 2 is true.
Click here to see answer by vleith(2983) |
Question 201705: Please Help Me!!!!
Suppose instead that the town experiences quadratic growth of the form P= 7t^2=Po where t is the time of years from 2010. The Po=1000
A)Insert the value of Po that your group has decided upon into the equation. Use t^2 to type t-squared
B) Fill in the following chart.
Year(t) Population(p)
T=0(2010) Po=
T=1(2011) Po=
T=2(2012) Po=
T=3(2013) Po=
T=6(2016) Po=
C) Use your equation from part a to approximate how may years it will take for the population to reach 12,000. Round to the nearest whole year when necessary.
Click here to see answer by RAY100(1637) |
Question 202011: If y=f(x) is such that f(2b-1)=4b^2 + 2b -3 for any real value b, find an expression for f(x).
The answer is f(x)= x^2 + 3x -1.
I divided 4b^2 + 2b -3 by 2b-1 which gives quotient of 2b + 2 remainder -1.
That's f(2b-1)= {(2b + 2)(2b -1)} -1 .
I don't know how to figure out (2b + 2). Please help. Thank you.
Click here to see answer by jim_thompson5910(35256) |
Question 201773: 6. The function f(x) gives the lake level over the passt year,with x measured in days and y, that is, the f(x) values, measured in inches above last year's mean height.
A. What it the real-world meaning of f(60)?
B. What is the real-world meaning of f(x)=-3?
C. What is an interpretation of f(x)=f(150?
Click here to see answer by Theo(13342)  |
Question 202485: Could one of the tutors please help me with this question as I am not able to solve it myself. Any help will be greatly appreciated.
A gas tank on a dock has a small puncture and is leaking gas at the rate of 1cm^3/min into a lake. It forms a circular slick that is 1mm thick on the surface of the water.(4 marks, 1 mark each)
a) Find the amount of gas leaked as a function of time.
b) State the radius of the slick as a function of its volume.
c) State the radius of the slick as a function of time.
d) What is the radius of the slick after 40 minutes?
Click here to see answer by Theo(13342) |
Question 202477: Please help me with the following Advanced Functions problem as I have tried several times to solve it but have not been able to.
Given f(x) = sinx, g(x) = 1/x, and h(x) = |x|
a) State the single equation that represents y = h(g(f(x))).(2 mark)
b) Describe what each composition does in the order that it is applied.(3 marks)
Click here to see answer by Theo(13342) |
Question 202477: Please help me with the following Advanced Functions problem as I have tried several times to solve it but have not been able to.
Given f(x) = sinx, g(x) = 1/x, and h(x) = |x|
a) State the single equation that represents y = h(g(f(x))).(2 mark)
b) Describe what each composition does in the order that it is applied.(3 marks)
Click here to see answer by jsmallt9(3758) |
Question 202690: I am having trouble with finding the domain for expressions like f(t)=log(t-5), g(x)=5e^x, g(x)=ln(x+4) and g(t)= 5^t. The concept eludes me, can anyone help with how to go about solving these??
E.T.
Click here to see answer by Theo(13342) |
Question 202747: What is the domain and range of the function of 1/2^x, I do not know how to get the domain and range. I need to graph this after I understand how to get the answer. I have 6 more problems after this so if you can help me solve this then I can solve the others. Thank you!
Click here to see answer by stanbon(75887) |
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