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Sketch two periods of the graph of the function h (x) = 2sec (# (x + 3) ) . Identify the stretching factor, period, and asymptotes. Enter the exact answers. Stretching factor = Number V/a a sin (a) Period: P = Enter the asymptotes of the function on the domain [- P, P]. To enter 7, type Pi. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x -1). The order of the list does not matter. Asymptotes: D =Sketch two periods of the graph of the function p (x) = tan (x - 4 ) . Identify the stretching factor, period, and asymptotes. Enter the exact answers. For the number 7, either choose a from the bar at the top or type in Pi (with a capital P). Stretching factor = 1 a sin (a) III Period: P = Enter the asymptotes of the function on the domain [-P, P]. To enter 7, type Pi. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x - 1). The order of the list does not matter. Asymptotes: > =\fA laser rangefinder is locked on a comet approaching Earth. The distance g (x), in kilometers, of the comet after c days, for * in the interval 0 to 24 days, is given by g (x) = 250,000 csc ( T x a. Select the graph of g (x) on the interval [0, 28]. 1, x 10' ly 8. x 106- 6. x 106 4. x 106- 2. x 106- O -2. x 10- 6 12 18 24 -4. x 106 - -6. x 106 -8. x 106- -1. x 107 1. x 10' y 8. x 106 / 6. x 106 4. x 106 2. x 106 O -2. x 106 12 18 24 -4. x 106 -6. x 106 -8. x 106 -1. x 107-1. x 10 8. x 106/ 6. x 106 4, x 105 - 2. x 106 - O 0 X -2. x 106 - 12 18 24 -4. x 105 -6. x 10 -8. x 106 -1. x 10' 1. x 10- 8. x 106. 6. x 106 4. x 106 - 2. x 106- -2. x 106 6 X 12 18 24 -4. x 106 -6. x 106 -8. x 105 -1. x 10-b. Evaluate g (4). Enter the exact answer. 9 (4) = 500,000. c. What is the minimum distance between the comet and Earth? When does this occur? To which constant in the equation does this correspond? The minimum distance between the comet and Earth is 250,000 km which is the stretching factor . It occurs at 12 days. d. Find and discuss the meaning of any vertical asymptotes on the interval [0, 28]. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x +1; x - 1 ). The order of the list does not matter. r = At the vertical asymptotes the comet is no longer bound in orbit.Write an equation describing the relationship of the given variables. y varies directly as the fourth power of a: and when :r: = 3, y = 405. ab sin {a} DC (.1 nr 9 Write an equation describing the relationship of the given variables. y varies inversely as the cube root of a: and when a: = 27. y = 8. Use the given information to find the unknown value. y varies directly as the cube of x. When x = 2, then y = 7. Find y when x = 3. Enter the exact answer. y = NumberUse the given information to find the unknown value. y varies inversely with the cube of x. When x = 5, then y = 1. Find y when x = 1. Enter the exact answer. y = NumberUse the given information to answer the question. The distance 3 that an object falls varies directly with the square of the time. t. of the fall. If an object falls 16 feet in one second. how long will it take for it to fall 48 feet? Round your answer to two decimal places. It will take -. . :: e- seconds for the object to fall 48 feet. Use the given information to answer the question. The weight of an object above the surface of the Earth varies inversely with the square of the distance from the center of the Earth. If a body weighs 59 pounds when it is 3,960 miles from Earth's center, what would it weigh if it were 3.995 miles from Earth's center? Round your answer to two decimal places. The body would weigh pounds if it were 3,995 miles 'om Earth's center. Use a calculator to evaluate the expression. Round your answer to the nearest hundredth. 5 arccos 13 Number radiansUse a calculator to evaluate the expression. Round your answer to the nearest hundredth. arcsin (0.23) ~ Number radiansFind the angle l9. in radians, in the given right triangle. The length of the side adjacent to 8 is l? and the length of the side opposite 6' is 14. 14 A I 17 Round your answer to the nearest hundredth. F5 lelzer What percentage grade should a road have if the angle of elevation of the road is 4 degrees? (The percentage grade is defined as the change in the altitude of the road over a 100-foot horizontal distance. For example a 5% grade means that the road rises 5 feet for every 100 feet of horizontal distance.) Round your answer to two decimal places. The road should have a(n) Number % grade