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1. Find the slope of the tangent line to the graph of y2 + x2y = 5x2 at the point (1, 1).
2. Given that function: y = (x2+7x/x+4). Find dy/dx|x=-1, and tangent to the graph of this function at x = -1.
Find the maximum and minimum, changes in concavity, intervals of increasing and decreasing, and asymptotes of the below function.y = In [sin(x)+2]
Kaya has two 750ml cans of juice. She wants to put the juice in a 1.5L pitcher. Will the pitcher hold all of the juice? Explain your answer.
An orchard contains 60 peach trees with each tree yielding an average of 57 peaches. For each 5 additional trees planted, the average yield per tree decreases by 3 peaches. How many trees should be planted to maximize the total yield of the orchar..
Let C(x) = 10x + 89 be the cost to produce x units of a product, and let R(x) = - x2 + 30x be the revenue. Find the maximum profit.
Suppose that Lesley earns a gross salary of $43,500 per year and is paid biweekly. She pays $150 with each paycheck for deductions for health insurance and other benefits. How much will be deducted from her biweekly paycheck for FICA?
Using your technology, compute A5 and use it to ?nd u5 and y5.4. Explain why A is diagonalizable. Find (by hand) a matrix P and a diagonal matrix D for which A = PDP-1. Use your technology to calculate D10, and use it to ?nd A10, u10, and y10. Con?rm..
Find the premium for A 3-year endowment insurance policy issued to (60) provides for death benefits, at the end of year of death, of 1000 if death occurs in the first year and 2000 if death occurs in the third or second years.
The number of cans of soft drinks sold in a machine each week is recorded below. Develop forecasts using a three-period moving average
The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the y-axis are equilateral triangles.
Create an email policy, internet use policy, employee monitoring policy and intellectual property policy. Be sure to state privacy and confidentiality clauses in your policies. Explain how you will protect intellectual property and monitor employee a..
A ball of mass 0.1 kg is whirled in a horizontal circle of radius 1 m by means of a string at an initial speed of 10 r.p.m. Keeping the radius constant, the tension in the string is reduced to one quarter of its initial value. Find the new speed o..
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
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