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Solve the given problem by finding the appropriate derivative.
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi.
Write the expression using x as a variable. Write the exact answer in terms of pi.
Suppose (V, | * |) is a normed space. If x, y E V and r is a positive real number, show that the open r-balls Br(x) and Br(x + y) in V are homeomorphic.
State two recent virus threats; whether they are minor or the major threats? What software would you utilize to eliminate these threats? Please involve a brief description for each threat and how to eliminate the threat.
How do you interpret the solution of a system of equations by the corresponding graph? Is there a basic difference between solving a system of equations by the algebraic method and the graphical method? Why?
Analyzing the graph of the given function using first and second derivative
Compute the empirical probability that the sum rolled is greater than 9, A pair of fair dice is rolled 50 times and the sum of the dots on the faces is noted.
Let a be the permutation (1 2 3) in A_4. What is the order of the element (3, 7, a) in the group U(10) direct product Z_42 direct product A_4.
A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
Evaluate the velocity vector at a particular point, vector projection of acceleration and the length of the curve between two points.
Explain how the temperature difference between the poles and the equator drives the motion of the oceans and atmosphere. What are the differences between ice caps and glaciers?
What is the total defect rate? I came up with 6%. A randomly selected product was defective. What is the probability that it came from Plant A?
Signature loans may not exceed 13% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). Furniture loans plus other secured loans may not exceed the automobile loans.
A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
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