11/13/21

Calculus - Rates of Change
Sand falls from a drain at the rate of 260 m3/min onto the top of a conical pile. The height of the pile is always twice the radius. How fast is the radius when the pile is 20 m high?
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11/13/21

Calculus - Related Rates
The radius of a right circular cylinder is increasing at the rate of 485 in/s , while the height is a constant 2/5 inches making the formula for volume, V=2/5πr2 , At what rate is the volume of the... more
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11/12/21

Let f(x) = 3x + 1/ x + 5, for x ≠ 1. Find the x-intercept

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11/12/21

What is the period of the function f(x)=sin(x pi/6 + pi/4)?
What is the period of the function f(x)=sin(x pi/6 + pi/4)?
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11/11/21

Find the point on the line y = 3x + 5 that is closest to the origin.
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11/11/21

Probability Distribution
A bag contains 12 green and 8 orange balls that are identical except for their color.A ball is chosen from the bag, its color noted, and then it is replaced. Eight balls are chosen.(a) Find(i)The... more
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11/11/21

Probability Distribution
In a large town one person in five is left-handed.(a) Find the probability that in a group of 30 person. (i) exactly three will be left-handed (ii) one third will be left handed(b) How... more
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11/11/21

Question number 6
6. (6 pts) Given 𝑓(𝑥) = 𝑥 − 10 and 𝑔(𝑥) = |𝑥 + 7|, which of the following is the domain of the quotient function f / g ? Explain. 6._______A. (−7, ∞)B. (−∞,−7) ∪ (−7, 10) ∪ (10,∞)C. (−7, 10) ∪... more
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11/11/21

Differentiate the following functions
 f (x) = 8x9 sin x + 4 sec x f (x) =cos x/8-7 tan x
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11/11/21

Find the area of the region under the curve y=7-4x^2 and above the x-axis
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11/11/21

Please help me. Use the Definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.

f(x) = x^2+sqrt(1+2x), 6 <= x <= 8
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11/10/21

Find the smallest number n of terms needed to obtain an approximation of the series
Find the smallest number n of terms needed to obtain an approximation of the series∞∑10/k4 accurate to 10-4k=1
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11/10/21

If water flows into the tank at a rate of 20 ft3/min, how fast is the depth of the water increasing when the water is 18 feet deep?
A conical water tank with vertex down has a radius of 15 feet at the top and is 24 feet high. If water flows into the tank at a rate of 20 ft3/min, how fast is the depth of the water increasing... more
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11/09/21

inters rate word problem

For a loan of L dollars, with an annual interest rate of r% compounded monthly, and a payment period of n months, the formuladetermines the value of P, how much you would have to pay every month... more
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11/09/21

Antiderivatives Calculus

Find the particular antiderivative that satisfies the following conditions: dy/dx = (4x+2)/ (x1/3); y(1) = 5 y =
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11/08/21

Consider the following table:

x 0 4 8 12 16 20 f(x) 38 37 35 31 22 3 (a) Use this data and a left-endpoint Riemann sum to estimate the integral:∫200 f(x)dx≈(b) Use this data and a right-endpoint Riemann sum to estimate the... more
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11/08/21

How to solve this?
Differentiate xsin-1(x) with respect to sin-1x
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11/08/21

The parabolic graph of a quadratic equation has a minimum at (-6,-18) and passes through the point (0,54). Find this quadratic equation.
Need some help with this problem. Thanks in advance.
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11/08/21

Radian solution
Find all radian solutions to the following equation. sin( A + pi/12) = - rad2/2
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11/08/21

TRIGONOMETRY COLLEGE

What is the circumference of a wheel if it travels at 60 km/hr and having an angular speed of 50 rpm.SHOW THE SOLUTION
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11/08/21

Brief Calculus.

The population of a small town has shown a linear increase in the years from 1990 to 1995. In the year 1990 the population was 2,125 people. In the year 1995 the population was 2,500 people.a) ... more
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11/05/21

Use Mathematica to verify.
Use the definition of the derivative to differentiate f (x) = ln x.
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11/05/21

Assume f and g are inverses. It is given that f(x) = x3+5. Find the equation of the tangent line of the graph of g at the point where x = 13.
Assume f and g are inverses. It is given that f(x) = x3+5. Find the equation of the tangent line of the graph of g at the point where x = 13.
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11/04/21

FIND THE TWO GEOMETRIC MEANS
Find the two geometric means between √3 and 3.
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11/04/21

Find the production cost function C(p).C(p)=$
The marginal cost for printing a paperback book at a small publishing company isc(p)=$0.02 per page where p is the number of pages in the book.A 840 page book has a $20.27 production cost. Find the... more
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