01/14/16
inverse of the 5th root of (3x-1)/(x-2)
I need to find the inverse of the 5th root of (3x-1)/(x-2)
01/13/16
Write a polynomial function with single....
Write a polynomial function with single zeros at -2 and 4, a double zero at 1, and a y-intercept of 24
A camera is 2000 ft. from the launch pad of a rocket.
A camera is 2000 ft. from the launch pad of a rocket. The height of the rocket is given by h(t) = 50t2. What is the rate of change of the angle of elevation of the camera 10 seconds after lift...
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Find lim (x --> infinity) (x^4 -x^2 + 1)^1/2 - x^2
Find lim (x --> ∞) (x4 -x2 + 1)1/2 - x2
01/04/16
A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each side through an angle ?. How should ? be chose
A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each side through an angle θ. How should θ be chosen so that the gutter will carry the...
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Find a positive number such that the sum of the number and its reciprocal is as small as possible.
Find a positive number such that the sum of the number and its reciprocal is as small as possible.
01/02/16
Use the first derivative test to find any relative extrema
Hello could someone please help me find the extrema on this function:
f(x)= (3/2)sin((πx/2)-1) on the interval [0,4]
I did the first derivative and I think it's f'(x)=...
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12/31/15
Function approximation
The function
g(x)=|x-2|+|x-1.5|+|x-1|+|x-0.5|+|x|+|x+0.5|+|x+1|+|x+1.5|+|x+2|
can be approximated on the interval [-3,3] by the quadratic function y=ax^2+b, where a and b are both integers....
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12/28/15
Find a cubic function, in the form below, that has a local maximum value of 4 at -4 and a local minimum value of 0 at 2.
Find a cubic function, in the form below, that has a local maximum value of 4 at -4 and a local minimum value of 0 at 2.
f (x) = ax^3 + bx^2 + cx + d
Use implicit differentiation to find an equation of the tangent line to the curve, called a devil's curve, at the point (0, -2).
Use implicit differentiation to find an equation of the tangent line to the curve, called a devil's curve, at the point (0, -2).
y2 (y2-4) = x2 (x2 - 5)
If F(x) = f(xf(xf(x))), where f(1) = 5, f(5) = 6, f '(1) = 3, f '(5) = 4, and f '(6) = 5, find F '(1).
If F(x) = f(xf(xf(x))), where f(1) = 5, f(5) = 6, f '(1) = 3, f '(5) = 4, and f '(6) = 5, find F '(1).
12/25/15
Sabrina is playing a ball with her dog. She throws the ball in a parabolic path that can be modeled by the function y=1/2(x-3)^2+7
Sabrina is playing a ball with her dog. She throws the ball in a parabolic path that can be modeled by the function y=1/2(x-3)^2+7. Her brother, Bobby, is playing in a tree next to her. Bobby...
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12/25/15
i drove from home to work at 30 mph. after work traffic was heavier and drove home at 25 mph. my driving time to and from work was 1 hour and 6 minutes. how far
do i live from work?
12/21/15
Please prove that cot A + cot B + cot C = (a^2 + b^2 + c^2)/(4(area of triangle ABC)).
I need help with this proof. Please help me.
12/20/15
Word Problem Help
A truck has 8100 gal of gas. The station has 400 gal of gas in its tank. After the truck fills the station's tank is has 4 times as much gas as the station. How much gas did it take to fill the...
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A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut
A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed is...
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12/18/15
4914: A gasoline
A gasoline tank has the shape of an inverted right circular cone with base radius 4 meters and height 5 meters. Gasoline is being pumped into the tank at the rate of 8 meters3/sec. Find the rate,...
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12/18/15
4096: Solve this problem algebraically
Solve this problem algebraically, using your knowledge of derivatives. Do not solve by graphing.If 200 feet of fencing is used to enclose a rectangular plot of land that borders a river, what is...
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12/18/15
4092: Use the second derivative test to find the relative extrema
Use the second derivative test to find the relative extrema for f(x) = x4 - 8x2 - 4.
Minimum at (2, -20); maximum at (0, -4)
Minimum at (-2, -20); maximum at (2, -20)
Minimum at (2, -20) and...
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Suppose that f is a positive, concave up function on I and g is concave down on I. What is the concavity of 3(f(x))^2 -? 2g(x) on I?
Suppose that f is a positive, concave up function on I and g is concave down on I. What is the concavity of 3(f(x))2 - 2g(x) on I?
ANSWER: concave up
#13, prac test
What are the intervals of increasing and decreasing, and the intervals of concavity of the following?
What are the intervals of increasing and decreasing, the local min and max and the intervals of concavity of the following?
y = exsin(x) -pi ≤ x ≤ pi
I know I need the first derivative,...
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12/15/15
2 different integrals
∫x/(X2 +3) = .5 ln(x2+3)
u=x2+3
du = 2x dx
1/2 ∫ 1/(x2+3) = 1/2 *ln(x2+3)
here ∫ 1/(x2+3) gives is...
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