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Compute the expression for f(x) in which f(x) is the quartic function, f(x) > 0 when -2 < x < 1, f(x) is equal or less than 0 when x < -2 or x >1. f(x) has the double root when x=3 a
Diameter of cup is 3 inches. Liquid is being consumed at rate of 2 cubic inches per second. How fast is level of soda decreasing in inches/sec?
Determine angle of person's eyes to top of building to nearest hundredth of degree? Suppose person's eyes are 4 feet above ground level.
Factor polynomial completely and draw its graph. Find how many real zeros polynomial Q(x)=P(x)+c has for every constant c.
What information employing Descartes' rule of signs provide with respect to roots of equation x2 + 2x3 - 5x2 + x +11 = 0? Sum of two of zeros of 4x3 +12x3 - 67x + 30 = 0 is 3. Determine all the zeros.
The mechanic is testing cooling system of the boat engine. He estimates engines temp over time. Use the graphing utility to fit the logistic model to data. Determine carrying capacity of cooling sys
Solve exponential equation. State solution in terms of natural logarithms. Determine solution in terms of natural logarithms? Find decimal approximation for solution?
Pedal sprocket has the radius of 4 in., wheel sprocket has the radius of 2 in., and wheel a radius of 13 in. Cyclist pedals at 38 rpm. Determine rotations per minute of wheel sprocket.
Total length of wiper mechanism is 21 inches and wipes windshield over the distance of 14 inches. Determine area covered by wiper.
Population of St. Petersburg, Florida (in thousands) can be estimated by function where x=70 corresponds to 1970. Evaluate population in 1973. Evaluate population in 1984.
Where t is time in years and is pollutant level at which further pollution ceased. Find number of years would it take to clear 50% of pollutants?
Account pays 4% compounded annually. Suppose that income tax on earned interest is 30%. Which of the given plans produces the larger balance after all income tax is paid?
Find out the concentration of the final solution when a 24.7 mL, 1.66 MKMnO4 solution is mixed with the 16.7 mL of 0.755 M KMnO4 solution.
Calculate the maximum number of electrons that can be freed by a burst of light whose total energy is 1.00μJ? Explain in detail.
If the sodium is irradiated with light of 439 nm, determine the maximum possible kinetic energy of the emitted electrons? Discuss in detail.
Find out the mass of sodium sulphate is required to prepare the 1.26 liters of such a solution when a solution is to be prepared with a sodium ion concentration of 0.542 mol/L.
Determine the function which models number of hours of daylight t days after January 1. Suppose that year has 365 days and that spring equinox, when day is 12 hours long, is on 80th day of year.
Determine the total pressure and the partial pressure of the final mixture when an 11L vessel contains 1.0 molN2 and 2.0 mols H2 at 298.15 K initially. H2 reacts withN2 to form NH3.
At 25.0C determine the entropy of fusion of a compound given that its enthalpy of fusion is having 32 kJ/mol at its melting point of 146C and the molar heat capacities of the liquid and solid forms
Assume you invest $580 at 10% compounded continuously. Write the exponential function to model amount in the investment account.
A pilot, flying at the altitude of 5000 feet, wants to approach numbers on the runway at the angle of 10 degree. Determine, to the nearest 100 feet, distance from the airplane to numbers at beginni
Calculate the reaction that took place in the separatory funnel among the diphenylamine which is dissolved in the ether and excess 5% HCL. Show the phase of all products. The drawing is two benzene
Determine the mass of sodium phosphate is required to prepare 1.40 liters of such a solution? A solution is to be prepared with a sodium ion concentration of 0.591 mol/L.
Find present market value of bond if prevailing market interest rate is 5% per year. Find prevaling market interest rate if current market value of bond is $300.
Suppose if you mix 2.4g of A with 15.3 g of B, then calculate the final weight of AB and the weights of A and B left in the solution.