12/03/16

Optimization

What is the minimum number of feet of fencing needed to create a rectangular garden with an area of 576ft?   I keep getting 144 as my answer but my friend says it wrong.. Please help!

12/01/16

What box would be best to ship the most packing peanuts?

So I struggle with optimization and we were given a problem and I have no idea on how to do it and I could really use some help please.So a person wants to ship a lot of packing peanuts but they... more

Cubic functions

Find a cubic function of f(x)= ax^3 -bx^2 +cx -d that has a local maximum value of 112 at 1 and a local minimum value of -1184 at 7

Rewrite Expression

Rewrite the expression in terms of sines and cosines only and then simplify the resulting expression.   tanx/secx+1 +tan x/sec x-1

11/26/16

Write b^5x=a in logarithmic form.

Write b5x=a in logarithmic form.

How do i find maxiumum volume of a triangular prism?

I have to find the volume of a triangular prism.It says: farmer pete wants to build a cattle trough using supplies he already has, but wants it to hold the most feed possible. The trough is 4meters... more

What are the possible values of x?

The distance between 2 points in space, P(x,-1,-1) and Q(3,-3,1), is 3. Find the possible values of x?

11/08/16

Probability of Marbles

A bag contains 4 green marbles and 3 red marbles. If three marbles are chosen at random without replacement, what is the probability of:   a) all three marbles are red.   b) at least one is... more

10/31/16

Calculus Question - Find dimensions

The sum of the perimeters of an equilateral triangle and a square is 20. Find the dimensions of the triangle and the square that produce a minimum total area.

10/29/16

Algebra word problems

Phil has $100 and spends $3 of it per day. Earnest has $20 but is adding to it at a rate of $5 per day. After how many days will they each have the same amount? 

10/29/16

Finding log

If loga20=b and loga5=c, find loga2 I need help, I just don't understand... The answer is supposed to be like c-b, b+c, or something like that... Please, your help is really appreciated. 

10/28/16

You have 200 ft of fencing to enclose 2 adjacent rectangular corrals. The total area of the enclosed region is 1400 square feet.

If both corrals are the same size, what are the dimensions of each corral?  This is due very soon and I have tried to do systems of equations but it hasn't helped. Please help

10/23/16

Calculus- Critical Numbers

1) Find critical numbers of the problems below:  A) Find all critical numbers of the function f(x) = sin^2(6x) + cos(6x), 0 < x < π/3.    B) Find all critical numbers of of the function f... more

In your own words, explain why the method of dividing complex numbers works. What property justifies this process?

 In your own words, explain why the method of dividing complex numbers works. What property justifies this process?

10/21/16

Which is an equation of the given line in standard form? –11x + 6y = –13 –6x +11y = 13 –6x + 11y = –13 –6x + 7y = –17

linear inequality graph Which is an equation of the given line in standard form?         Which is an equation of the given line in standard form?   –11x + 6y =... more

10/21/16

Calculus 2 Area of a Region

Can someone walk me through this? I'm not understanding. Consider the region enclosed by the graphs of 2y=5√x , y=8 , 2y+1x=6The area A of this region could be computed in two ways: 1) By... more

Find the point on the line 6x+y=9 that is closest to the point (3,8)

How do I solve it?

A lamp is located 3 units to the right of the y-axis and a shadow is created by the elliptical region x^(2)+4y^(2)<=5.

If the point (-5,0) is on the edge of the shadow, how far above the x-axis is the lamp located   i got the y' (slope) from differentiating the equation and get y'= -x/4y, but i cannot substitute... more

10/17/16

Area of a kite

a kite has adjacent sides measuring 330mm and 565mm. The longer diagonal makes angles of 44 and 24 with the sides of the kite. Calculate the ares of the kite to the nearest square millimetre

10/15/16

I want to really know this. Consider the solid obtained by rotating the region bounded by the given curves about the line x = 4. x= 4y^2 , x = 4

What is the radius, cross-sectional area, intersection of points, and volume? I gladly appreciate whoever can help. Thanks. 

10.2: Calculus with Parametric Equations

Find the surface area generated by rotating the given curve about the y-axis.x = 9t^2, y = 6t^3, 0 ≤ t ≤ 5    

Find the side lengths x and y of the largest area where L is a given length for the diagonal. At the critical point, y=? x=? A=?

It says to eliminate one variable so I eliminated x.   A=xy L2=x2+y2 x=(L2-y2)1/2   A=y*(L2-y2)1/2     =(L2y2-y4)1/2 Derivative =1/2(L2y2-y4)-1/2 *L22y-4y3   I don't know where to go... more

Use Cramer's rule to find the price per gallon of premium and regular gas

You fill your car with 15 gallons of premium gasoline and fill up a 5 gallon gas can with regular gasoline for various appliances around the house. You pay the cashier $42. The price of regular... more

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