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If h(t) denotes the number of times a person's heart beats in t minutes, then the pulse rate p beats per minute is given by p = dh/dt
During a workout an athlete has a pulse rate p(t) beats per minute where p(t) = 58 + 10.62*t^(2)*e^(-0.25t)
t minutes after the start of the workout.
How many times does the athlete's heart beat during the first 20 minutes of the workout? Give your answer to the nearest complete heartbeat.
Let F(u,v) be a function of two variables. Find f '(x) for each of the following. Use F_u and F_v for F_u and F_v
Prove using mathematical induction.
Suppose that derivative of the function f is given by f'(x) = 3x and suppose that the point (4,2) is on the graph of f. Write an equation of a line tangent to the graph of f at the point (4,2)
Compare your approximation with the acutal value of the tangent of 1/4 radian as shown on a calculator.
In each of the attached cases show that the set U is linearly independent subset of the vector space V. Give, with justification, a basis of V which contains the set U.
In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation.
The Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri..
The curve y = x^3 + x^2 - x has two horizontal tangents. Find the distance between these two tangents and draw a picture. Please show how to solve the following problem to the answer of 32/27.
Determine the mean oil production with 95 percent confidence
Population growth rate
Calculate the percentage of students who score between 550 and 650.
Write the given number in standard notation and write the number in standard notation. 8 × 10 6
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