Questions asked
30. Let $z = a + bi$ and $w = c + di$. Use geometry to show that (a) $|z + w| \le |z| + |w|$ (b) $|z + w| \ge |z| - |w|$ Under what conditions are these inequalities actual equalities? The results of this problem are sometimes called the \"triangle inequalities.\" Why?
The proof of Proposition 2.3.7 is incomplete because it depends on the position of D relative to ABC. Complete this proof by considering three additional cases: one where D is inside ABC, one where it is in the interior of one of the sides, and one where it coincides with one of the vertices
Come up with a formula that models the probability of intolerable side effects for some medicine, as a function of the dosage that they take. Suppose that about 50% of people who take a dose of 10mg have intolerable side effects, and about 90% of people who take 15mg have intolerable side effects.
x, y ≥ 0 20. (11) 2x + 2y subject to the constraints 7x + 3y ≤ 21, x + y ≤ 23, x - y ≤ 0, x, y ≥ 0. Z = 4x + 2y subject to the constraints 8x + 9y ≤ 72, 4x + y ≤ 28, 2x - y ≤ 20.
The cytoplasmic space in eukaryotic cells is occupied by many diverse membrane-bound structures with specific cellular functions. These structures are called
4. Basic assumptions when designing parallel hybrid drivetrain for vehicles: - The role of driving cycle - How to determine the power rating of traction motor? - How to determine the power rating of the internal combustion engine? - How to determine the power capacity (kW) and energy capacity (kWh) of the battery pack for parallel hybrid drive system?
Price (dollars) 2 1 0 100 200 300 400 Quantity (millions) a. If the individual firm tried to charge a higher price for its product, A. it would lose its customers. B. the market price would rise. C. other firms would charge a lower price. D. other firms would also charge a higher price. Price (dollars) 3 2 1 0 1 2 3 4 5 Quantity (thousands) D
The natural frequency of the cylinder is zero if the distance x of the hole is
Problem 2 A project has the estimated cash flows show below: Year End (n) Cash Flow (F) 0 -$1200 1 -$250 2 +$1000 3 +$900 4 +$1000 Using an interest rate of 12% per year compounded annually, what is the present value of these cash flows?
Presented below are data for Carla Vista Co. 2017 2018 Assets, January 1 $6834 ? Liabilities, January 1 ? $4103 Stockholders' Equity, Jan. 1 ? $4121 Dividends 861 962 Common Stock 916 984 Stockholders' Equity, Dec. 31 ? 3405 Net Income 1029 ? Net income for 2018 is