Tutors Answer Your Questions about Functions (FREE)
Question 1156187: Please help me with this related rates question
if two resistors with resistances R1 and R2 are connected in parallel, as in the figure below, then the total resistance R, measured in ohms (Ω), is given by
1/R = 1/R1+1/R2
If R1 and R2 are increasing at rates of 0.3 Ω/s and 0.2 Ω/s, respectively, how fast is R changing when R1 = 80 Ω and R2 = 100 Ω? (Round your answer to three decimal places.)
Click here to see answer by Boreal(15235)  |
Question 1156175: please help, me with this calculus homework about related rates
Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 10 ft high? (Round your answer to two decimal places.)
Click here to see answer by greenestamps(13195)  |
Question 1156536: The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 304 people entered the park, and the admission fees collected totaled 906 dollars. How many children and how many adults were admitted?
Click here to see answer by Boreal(15235)  |
Question 1156575: 1. Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3
2. Let f(x) = 3x^3 + 8x^2 + 5x - 7. Use synthetic division to find f(-2)
3. Use synthetic division to factor f(x) = x^3 - 5x^2 - x + 5 completely. Then sketch the graph of f. [Hint: Guess an initial zero of f(x). Then apply synthetic division.]
4. Use synthetic division to perform the division.
(a) x^3 + 3x^2 + 11x + 9 by x + 1
(b) x^4 + 4x^3 + 2x^2 + 9x + 4 by x + 4
These are homework problems I need help with.
Click here to see answer by josgarithmetic(39613) |
Question 1156622: Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge, strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find C'.
Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
Let B = {vanilla, hot fudge, sprinkles, whipped cream}
Let C = {chocolate, hot fudge, peanuts, whipped cream}
___________________________________________________________________________The options are:
A) {vanilla, strawberries, sprinkles}
B) {chocolate, hot fudge, peanuts, whipped cream}
C) {vanilla, hot fudge, sprinkles, whipped cream}
D) {chocolate, strawberries, sprinkles}
Click here to see answer by jim_thompson5910(35256) |
Question 1157403: f(x)=-3x^2+3x-2
a. opens
b. vertex = (-0.5,-2.75)
c axis of symmetry x=-0.5
d. show algebraically how you know the function has no x-intercepts - it does x-intercepts of -1.457 and 0.457
e internal where it is increasing and decreasing
Decreasing (-inf, -0.5) Increasing (0.5, inf)
Click here to see answer by MowMow(42)  |
Question 1157403: f(x)=-3x^2+3x-2
a. opens
b. vertex = (-0.5,-2.75)
c axis of symmetry x=-0.5
d. show algebraically how you know the function has no x-intercepts - it does x-intercepts of -1.457 and 0.457
e internal where it is increasing and decreasing
Decreasing (-inf, -0.5) Increasing (0.5, inf)
Click here to see answer by ikleyn(52747)  |
Question 1157615: I just do not understand optimization every problem confuses me please explain this problem and its solution.
An island is 2mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that is 6mi west of that point. The visitor is planning to go from the cabin to the island. Suppose the visitor runs at a rate of 8mph and swims at a rate of 3mph. How far should the visitor run before swimming to minimize the time it takes to reach the island?
Click here to see answer by solver91311(24713)  |
Question 1157934: Given function p and t defined by the table below
x, -2, -1, 0, 1, 2
p(x), 4, 1, 0, 1, 4
t(x), 3, 2, 1, -2, -3
Find
1. t(p(-1))
2. (t∘p)(0)
3 (p∘t)(-1)
4. t(t(0))
5. P(t(2))
Click here to see answer by Edwin McCravy(20054)  |
Question 1158433: which of the expressions below is/are equivalent 4x^2+10x-6?
which of the forms is the best complete factorization of 4x^2+10-6?
a.(2x-6)(2x+1)
b.2(2x-1)(x+3)
c.(4x-2)(x+3)
d.2(x+3)2(x-1/2)
e.4(x-3)(x-1/2)
f.2(x-3)(2x-1)
g.2(x-3)(2x+1)
h.(2x-1)(2x+6)
i. none of these
Click here to see answer by josgarithmetic(39613) |
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