03/26/21
Answer the following questions
f(x)= x^(1/3) * (x+8)
Domain of Def
Crit points and intervals increasing/ decreasing
Identify local max and min using first derivative test
Find absolute extrema
03/25/21
Two Terms of Geometric Sequence Find the explicit rule
Two terms of a geometric sequence are a_4=54 and a_9=13,122. Write an explicit rule for the nth term.a_n=
03/25/21
Assistance please!
Rewrite 3[cos(5x)+cos(3x)] as the product of sine and/or cosine functions.
03/25/21
standard deviation
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5 and a standard deviation of 0.45. Using the empirical rule, what...
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03/24/21
Given that the series the summation from n equals 1 to infinity of the quotient of negative 1 raised to the n plus 1 power and n is convergent, find a value of n for which the nth partial...
Given that the series is convergent, find a value of n for which the nth partial sum is guaranteed to approximate the sum of the series with an error of less than...
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03/24/21
Rate of Change in Distance
At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship B is sailing north at 20 knots. How fast (in knots) is the distance between the ships changing...
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03/23/21
(See Desc.) A manufacturer can produce 4860 cell phones when x dollars is spent on labor and y dollars is spent on capital. The equation that relates x and y is (90x^3/4)(y^1/4)=4860.
a. Find a formula in terms of x and y for dy/dx.b. Find the value of dy/dx at the point (81,16).
03/22/21
Prove that 0.5(y2−x2)≤y(y−x) and 0.5(y2−x2)≥x(y−x)
Let 0≤a<b and consider the function h(x)=x on [a,b]. Prove that for any 0≤x≤y we have 0.5(y2−x2)≤y(y−x) and 0.5(y2−x2)≥x(y−x)
03/22/21
Confidence Level Intervals
In a sample of 560 adults, 375 had children. Construct a 99% confidence interval for the true population proportion or adults with children. _____ < p < p ____
03/20/21
probability of 76
In a study of 360,141 cell phone users, it was found that 76 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000225 probability of a person...
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The volume of a spherical object is given by V= (4 pi)/(3) r^ 3 . How fast is the volume changing at the moment that the radius is 10 mm and increasing at a rate of 0.8 (mm)/(day)
Help me answer this question please
03/19/21
Consider a dice game with the following rules.....
Consider a dice game with the following rules:• All players start with 10 points• A dice is rolled, and if the number on the dice is 1, 2, 3, 4 or 5, this number is addedto each player’s score. If...
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03/18/21
i need help with this problem its not for a test but i dont understand how to solve it
given the length of the sides of a triangle are 2x + 1, 4x - 10, x + 5 and the peimeter is 24 determine the length of all three sides of the triangle the height of the triangle is 8.49 what is the...
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03/18/21
Let X have a uniform distribution on the interval (2, 10).
Find the probability that the sum of 2 independent observations of X is greater than 18.
03/18/21
Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)
g(x) = x2 + 2x2/3 on [−7, 8]
03/18/21
If f^-1(x)=x^3+5, find f(-3)
03/17/21
Two ships leave a port at the same time. The first ship sails on a bearing of 40° at 18 knots and the second at a bearing of 130° at 24 knots. How far apart are they after 2 hours?
Two ships leave a port at the same time. The first ship sails on a bearing of N15°W at 24 knots and the second at a bearing of N36°E at 19 knots. How far apart are they after 2 hours? (One knot is...
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03/17/21
Calculus Question
Let f(x)=1x3−2x2−5x+6. Find the interval where f is concave up. If an end-point of the interval is either −∞ or +∞ type "infinity" (without quotation marks). Answer: _< X <__Find the...
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