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A student can choose a computer project from one of three lists. The three lists


contain 23, 15 and 19 possible projects, respectively. How many possible


projects are there to choose from?

If A(u) is a differentiable vector function of u and ||A(u)||=1 , prove that dA/du is perpendicular to A


Let V be a vector space over a filed F and x,y,z is an element of V then show that the set of all liner combinations of x,y and z,W=(ax+by+cz:a,b,c are an element of F) is a subspace of V over F. This subspace is called the span of (x,y,z)


Let V be a vector space over a filed F and x,y,z is an element of V then show that the set of all liner combinations of x,y and z,W=(ax+by+cz:a,b,c are an element of F) is a subspace of V over F. This subspace is called the span of (x,y,z)

In a certain community, 8% of all adults have diabetes. If a health service in the community correctly diagnoses 95% of all adults with diabetes as having the disease and incorrectly diagnoses 2% of all adults without diabetes as having the disease.

Find the probability that an adult diagnosed by the health service as NOT having diabetes actually does not have the disease.                                                                                                            



Select one:

a. 0.9956

b. 0.0044

c. 0.8051

d. 0.1949


A 13 ft ladder is leaning against a wall. If the top of the

ladder slips down the wall at a rate of 2 ft/s, how fast will

the foot be moving away from the wall when the top is 5 ft

above the ground?


1.5, 2.5, 2.5, 4.1, 5, 6.7, 8.12, 9.9, 10.5, 10.4



Determine the mean and standard deviation

Calculate the population variance of the heights of trees(in meters)




10.1, 10.2, 12.4, 3.6,14.3,15.9,16.17

(x^3 - x)dy/dx - (3x^2 - 1)y = x^5 - 2x^3 + x , y(1) = 1


A town has a population of 5000 and grows at 4% every year the initial population is 5000 find growth model and determine population after 3years


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