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The radius r and height h of a cylinder are measured with possible errors of 2% and 4%. Approximate the maximum possible percent error in the calculated volume by using the total differential as an approximation to volume change.
Choose three integers a, b, and c. (Negative numbers are welcome.) Now use a, b, and c to create a trinomial ax2+bx+c. Can you factor this trinomial? How would you create a trinomial that will factor?
Find the indicated probability.
Determine if this argument is correct, using symbolic logic and a truth table. If it is not correct, explain what is wrong with the argument, and change the minor premise to make a correct argument.
How many of each should you purchase to minimize the total cost? (b) What is the total cost?
Consider the following proof of this claim: Let f(x) = 2 tan x - 3x. Then f(π/3) = 2√3 - π > 0 and f(π) = -3 π
Numbers of the form a+ib = a+-1b, with a and b real numbers, are called complex numbers. In a + ib we call a the real part of a + ib and we call b the imaginary part of a + ib. Explain why i2 = -1.
Find an expression for the block's oscillation frequency f in terms of the frequencies f_1 and f_2 at which it would oscillate if attached to spring 1 or spring 2 alone.
Verify that y1(t) =(1/(t^3)) and y2(t) = (ln(t))/(t^3) are solutions to (t^2)y''+7ty'+9y = 0, t>0. Do y1, y2 for a fundamental set of solutions? Give a reason for your answer and show all steps.
points a & b are the midpoints of adjacent sides of the square. what is the value of the shaded part?
calc the revenue in dollars for producing x chairs is given by r(x)=50 and the cost to produce the chairs is given by x(x)=.001 x^3-.1x^2+12x+1500. Find the production level that will maximize the profit.
Apply the operator ∇ to products of smooth scalar fields Φ, Ψ, vector fields u, v, and tensor fields A, B. Establish the identities, Compute the derivate DG(A) for each of the following functions
Take 4900 draws from this distribution. Graph the histogram & give the mean and variance of this sample. (Hand in only the histogram and the results for mean and variance).
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