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Find the solution of the differential equation xy'+7y=75(x^-2)lnx (x>0)that satisfies the initial condition y(1)=1. y(x)=?
Let U = {60 Minutes, American Idol-Tues., American Idol-Wed., CSI, CSI: Miami, Desperate Housewives, Friends, Grey's Anatomy, Law & Order, The Apprentice}. Construct a Venn diagram illustrating the sets.
Write a linear regression equation for these data and forecast how much money Robert will win if he spends $28.
Identification of the Slope and y-intercept, and x-intercept of the given equation
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Manual on Uniform Control Device (MUTCD) the perimeter of some traffic sign must be 72 inches. Aslo, its length is 12 inches longer width find the dimernsion of this sign.
A recent data showed that 78% of the statistics students pass the class. If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?
Again using interval notation, how would I go about finding the image set of the graph g(x)= Ix+3I -2 ? And how then would I go on to solve the equation g(x)=1, and discover if it had any geometrical significance?
Sometimes (for example 1/12 ) only part of the decimal repeats while in other cases (for example 1/7 ) the whole decimal repeats. Assuming a/b is a reduced fraction, how can you tell which of these two scenarios will occur? Explain.
Compactness and find the Area of region using definite integrals
The volume of a cylinder (think about the volume of a can) is given by V = pi r2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
Find the component form of the vector v that has an initial point at (1,-2,2) and a terminal point at (3,-3,0) find the component form of the vector w if ||w||=4 and points in the direction opposite v. hint: normalize v first.
Prove the parallelogram equality that is, the sum of the squares of the diagonals of a parallelogram equals the sum of the squares of its sides.
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