Math Answers

Score_(0.30) = 70 + 10*Z_(0.30)

[SADT8] If A

 and B

 are vector fields, prove the following:

∇(A⋅B)=(B⋅∇)A+(A⋅∇)B+B×(∇×A)+A×(∇×B).

1. Solve for the area in square units of the right triangle with vertices F(0,7),U(2,-3),N(7,-2)

2. Find the area in square units of a rectangle whose vertices are L(0,6),O(2,-2),V(-2,-3),E(-4,5)

To achieve results from a study that are free from bias, which sampling method should be used

The PA system at North High School requires 400 watts it is switched on. How much would it cost to run 3 hours, at a cost of $0.10 per kilowatt hour? Round to the nearest cent.

Find the general solution of non-homogenous linear differential equation with constant coefficients.

(D² - 3D + 2)y = 5e^2x

Let X denote the diameter of an armores electric cable and Y denote the diameter of the ceramic mold that makes the cable. Both X and Y are scaled so that they range between 0 and 1. Suppose that X and Y have the joint density f(x,y) ={ 1/y, 0<x<y<1, 0, elsewhere

Resistance of acetaminophen

Researchers want to investigate whether frequent use of acetaminophen-based painkillers can lead to resistance. 500 men and women between the ages of 20 and 50 will be recruited as participants who have frequent headaches. Regardless of gender, it is randomly divided into two groups. One group consistently takes painkillers daily and the other only once a week. Each group has been on painkillers for two years, but they don’t know what cycle each other takes. At the end of the study, researchers count the number of people in each group who are drug resistant and no longer effective.

5) Based on your reading of "Why most published research findings are false", what would you do, if you fail to get the result you were expecting? Consider that if you fail to publish an interesting enough result, you might lose fundings, scholarships, or fail to get your degree.

Researchers want to investigate whether frequent use of acetaminophen-based painkillers can lead to resistance. 500 men and women between the ages of 20 and 50 will be recruited as participants who have frequent headaches. Regardless of gender, it is randomly divided into two groups. One group consistently takes painkillers daily and the other only once a week. Each group has been on painkillers for two years, but they don’t know what cycle each other takes. At the end of the study, researchers count the number of people in each group who are drug resistant and no longer effective.

1) What are the hypotheses?

2) What hypothesis test would you be doing?

3) What would you set the significance level at?

4) What would it mean if you reject the null hypothesis? What would it mean if you fail to reject it?

A rectangular box whose volume is 32 is open at the top. If the surface of the area is 2( L + B )H +LB, where L L, B, H are length, breath and height respectively.

(A) Find the dimension of the box that may regure least material

(b) Investigate weather the dimension found require least material.