12/25/15

Evaluate the function

Evaluate the function f(x)=x^2-2x for the given value of X   f(c+2)=

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... more

12/18/15

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... more

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,... more

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... more

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... more

12/17/15

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

12/16/15

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,... more

12/15/15

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain wh

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’sRule doesn’t apply, explain why.   lim (x --> 0)   [ √(1 + 2x)... more

help me please

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 30 minutes of calls is $15.20, and the... more

12/13/15

Form a polynomial function with the given zeros

Zeros: -4,2+i

12/11/15

Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 3 times the third

Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 3 times the third.

Find the inverse of y=log9x

 The nine is the base, and x is the argument/power.

12/08/15

Use implicit differentiation to find an equation of the tangent line to the curve at the given point

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.   x2 + xy  + y2 = 3, (1, 1)     ANSWER: y = -x + 2 #27, p215

12/08/15

Find the derivative. Simplify where possible. y = cosh ^-1 (x^1/2)

Find the derivative. Simplify where possible:   y = cosh-1 (√x)     ANSWER: 1 / [2 √(x (x - 1)) ] #41, p263

12/08/15

A camera is 2000 ft. from the lauch pad of a rocket. The height of the rocket is given by h(t) = 50t^2 . What is the rate of change of the angle of elevation o

(a) 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... more

2. Lemniscate Curve, Find the exact coordinates of the point(s) where the tangent line to this curve is horizontal

Curve:   (x2+y2)2=4(x2-y2)   Find points where tangent line is horizontal?

Rational Zeros Question: Please help!

List all possible rational zeros for the given function: f(x) = 2x^3 + x^2 - 3x +1 Use synthetic division to test the possible rational zeros and find an actual zero Then use your quotient from the... more

12/06/15

Use logarithmic differentiation to find the derivative of the function : y = [(x - 1) / (x^4 + 1]^1/2

Use logarithmic differentiation to find the derivative of the function :   y = √[(x - 1) / (x4 + 1)]     ANSWER: √[(x - 1) / (x4 + 1)]  *  [(1 / (2x - 2)  -  2x3 / (x4 + 1)] #41, p223

Evalute the definite integral below.

Evalute the definite integral below.     ∫0^pi/2 x cos 2x dx

12/06/15

Use logarithmic differentiation: (x^2 + 2)^2 * (x^4 + 4^4

Use logarithmic differentiation: (x2 + 2)2 * (x4 + 4)4     ANSWER: (x2 + 2)2 * (x 4+ 4)4 * [4x / (x2 + 2)  +  16x3 / (x4 + 4)] #39, p223

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