Reference no: EM131026936
1. The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and + 4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
2. Find the inverse of the function f(x) = x1/3 + 2.
3. If a piece of real estate purchased for $50,000 in 1998 appreciates at the rate of 5% per year, then its value t years after the purchase will be f (t) = 50,000(1.05t ) . According to this model, by how much will the value of this piece of property increase between the years 2007 and 2008?
4. Solve loga (7x +1) = loga (4x +16).
5. Find the domain of f (x) = 7 + 3x + 21 , and express it using interval notation.
6. If points A, B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A, C) < d(B, C)?
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What is minimum amount of work that must be used to transfer
: The potassium-ion concentration in blood plasma is about 5.0 X 10-3M, whereas the concentration in muscle-cell fluid is much greater (0.15 M). The plasma and intracellular fluid are separated by the cell membrane, which we assume is permeable only..
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Discuss the symmetry of the graph of the polynomial function
: Explain how synthetic division may be used to find the factors/zeros of a polynomial function. Give an example of how this is accomplished.
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Compare the equilibrium constants for the following reaction
: Using data given in Appendix C, compare the equilibrium constants for the following reactions. Compare the maximum work that can be obtained from these processes under standard conditions.
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Essay - compare westpac bank and cochlear
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Find the inverse of the function f(x) = x1/3 + 2
: If points A, B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A, C)
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Designing a risk management policy
: Design a brief risk management policy statement for a small child-care company. Remember to include the most important objectives. For the same child-care company, create a risk identification list and plot the risks on a risk map.
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Purchase laboratory equipment for gene splicing
: BioGen Company, a small biotechnology firm, would like to borrow a loan to purchase laboratory equipment for gene splicing. The loan carries an interest rate of 8% per year and is to be repaid $396,719 at the end of 6 years. How much is the loan?
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Why are elevated temperatures used
: Acetic acid can be manufactured by combining methanol with carbon monoxide, an example of a carbonylation reaction: CH3OH(l) + CO(g) → CH3COOH(l), Calculate the equilibrium constant for the reaction at 25 °C.
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A carnot''s engine has the same efficiency
: A carnot's engine has the same efficiency between 1000K and 500K and between x K and 1000K (this being the temperature of this skins in this case). Calculate x ?
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