USA: +1(669)289-8683 
Sign in
|
Short Answer: Type your answer below each question. Show your work. 1Verify the identity. cot θ ∙ sec θ = csc θ 2A gas company has the following rate schedule for natural gas usage in single-family residences: Monthly service charge $8.80 Per therm service charge 1st 25 therms $0.6686/therm Over 25 therms $0.85870/therm What is the charge for using 25 therms in one month?What is the charge for using 45 therms in one month?Construct a function that gives the monthly charge C for x therms of gas. 3The wind chill factor represents the equivalent air temperature at a standard wind speed that would produce the same heat loss as the given temperature and wind speed. One formula for computing the equivalent temperature is W(t) = where v represents the wind speed (in meters per second) and t represents the air temperature . Compute the wind chill for an air temperature of 15°C and a wind speed of 12 meters per second. (Round the answer to one decimal place.) 4Complete the following:(a) Use the Leading Coefficient Test to determine the graph’s end behavior.(b) Find the x-intercepts. State whether the graph crosses the x-axis or touches the x-axis and turns around at each intercept.(c) Find the y-intercept. f(x) = x2(x + 2) (a). (b). (c). 5For the data set shown by the table, a. Create a scatter plot for the data. (You do not need to submit the scatter plot) b. Use the scatter plot to determine whether an exponential function or a logarithmic function is the best choice for modeling the data.Number of Homes Built in a Town by Year 6Verify the identity.(1 + tan2u)(1 – sin2u) = 1 7Verify the identity. cot2x + csc2x = 2csc2x – 1 8Verify the identity.1 + sec2xsin2x = sec2x 9Verify the identity.cos(α – β) – cos(α + β) = 2 sin α sin β 10The following data represents the normal monthly precipitation for a certain city. Draw a scatter diagram of the data for one period. (You do not need to submit the scatter diagram). Find the sinusoidal function of the form that fits the data. |
|
Multiple Choice: Type your answer choice in the blank next to each question. _____11.The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. Does the graph represent a function?A. Yes B. No _____12.Find the vertical asymptotes, if any, of the graph of the rational function. f(x) = A. x = 0 and x = 4 B. x = 0 C. x = 4 D. no vertical asymptote _____13.The formula A = 118e0.024t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 140 thousand?A. 2008 B. 2005 C. 2006 D. 2007 _____14.Find the specified vector or scalar. u = -4i + 1j and v = 4i + 1j; Find .A. B. 8 C. 2 D. 5 _____15.Find the exact value of the trigonometric function. Do not use a calculator. A. -1 B. C. 1 D. _____16.Find the x-intercepts (if any) for the graph of the quadratic function. 6×2 + 12x + 5 = 0 Give your answers in exact form.A. B. C. D. _____17.Use the compound interest formulas A = Pert and A = P to solve. Suppose that you have $11,000 to invest. Which investment yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually?A. $11,000 invested at 6.25% compounded continuously over 10 years yields the greater return. B. Both investment plans yield the same return. C. $11,000 invested at 6.3% compounded semiannually over 10 years yields the greater return. _____18.Find functions f and g so that h(x) = (f ∘ g)(x). h(x) = (6x – 14)8A. f(x) = 6x – 14, g(x) = x8 B. f(x) = 6×8 – 14, g(x) = -14 C. f(x) = x8, g(x) = 6x – 14 D. f(x) = (6x)8, g(x) = -14 _____19.Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to graph the given function. h(x) = 2 | x | + 2A. B. C. D. _____20.Find the reference angle for the given angle. -404°A. 44° B. 46° C. 134° D. 136° |
