Tutors Answer Your Questions about Equations (FREE)
Question 1208039: A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45° to the horizontal. In physics, it is established that the height h of the golf ball is given by the function
h(x) = [(-32x^2)/(130)^2] + x, where x is the distance that the golf ball has traveled.
How far was the ball hit?
I know that the question is asking to find x.
What is the set up?
Click here to see answer by ikleyn(52776)  |
Question 1208040: A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45° to the horizontal. In physics, it is established that the height h of the golf ball is given by the function
h(x) = [(-32x^2)/(130)^2] + x, where x is the horizontal distance that the golf ball has traveled.
Determine the height of the ball after it has traveled 100 feet.
For this problem, I must let x be 100 and simplify.
You say?
Click here to see answer by ikleyn(52776)  |
Question 1208041: A Boeing 747 crosses the Atlantic Ocean (3000 miles) with an airspeed of 500 miles per hour. The cost C (in dollars) per passenger is given by the formula
C(x) = 100 + (x/100) + (36,000/x), where x is the ground speed (airspeed x wind and - wind).
To the nearest 50 Mike's per hour, what ground speed minimizes the cost per passenger?
The question is asking to find x.
What is the set up?
Click here to see answer by math_tutor2020(3816) |
Question 1208059: The following question is from my college algebra textbook. It is preview of calculus 1.
Let m_sec = slope of the secant line.
I am to use m_sec = [(f(x + h) - f(x)]/h. It is called the difference quotient of f.
Given f(x) = 2x^2 + x:
A. Express the slope of the secant line of the given function in terms of x and h. Be sure to simplify your answer.
I found m_sec to be 4x + 2h + 1.
B. Find m_sec for h = 0.5 at x = 1. What value does m_sec approach as h tends to 0?
I don't understand part B.
C. Find the equation of the secant line at x = 1 with h = 0.01.
I don't know how to find the equation of the secant line for part C.
Click here to see answer by ikleyn(52776)  |
Question 1208058: The following question is from my college algebra textbook. It is preview of calculus 1.
Let m_sec = slope of the secant line.
I am to use m_sec = [(f(x + h) - f(x)]/h. It is called the difference quotient of f.
Given f(x) = -3x + 2:
A. Express the slope of the secant line of the given function in terms of x and h. Be sure to simplify your answer.
I found m_sec to be -3.
B. Find m_sec for h = 0.5 at x = 1. What value does m_sec approach as h tends to 0?
I don't understand part B.
C. Find the equation of the secant line at x = 1 with h = 0.01.
I don't know how to find the equation of the secant line for part C.
Click here to see answer by ikleyn(52776)  |
Question 1208082: The short-term (no more than 24 hours) parking fee F(in dollars) for parking xhours at O’Hare International Airport’s main parking garage can be modeled by the piecewise function F(x).
Top portion of F(x): 3 if 0 < x <= 3
Middle portion of F(x): 5•int(x + 1) + 1 if 3 < x < 9
Bottom portion of F(x): 50 if 9 <= x <= 24
Determine the fee for parking in the short-term parking garage for 8 hours and 24 minutes.
Click here to see answer by ikleyn(52776)  |
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36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 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