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- Find the following function values without using a calculator. sec54Use a calculator to approximate the value of each expression, if possible. a. arctan4.84 b. arcsin1.1 c. arccos0.349Antonio boards a Ferris wheel at the3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 7.1 radians per minute and has a radius of 40 feet Let t represent the number of seconds since the Ferris wheel started rotating. a. Write an expression (in terms of t) to represent the varying number of radians 0 Antonio has swept out since the Ferris wheel started rotating. Preview b. Write a function f that determines Antonio's dıstance above the center of the Ferris wheel (in feet) in terms of t. f(t) = Preview c. How long does it take for Antonio to complete one full revolution on the Ferris wheel? minutes Preview
- Simplify the expression to a trig function of x. COS xDiego boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 6.6 radians per minute and has a radius of 30 feet. Let t represent the number of seconds since the Ferris wheel started rotating. a. Write an expression (in terms of t) to represent the varying number of radians 0 Diego has swept out since the Ferris wheel started rotating. Preview b. Write a function f that determines Diego's distance above the center of the Ferris wheel (in feet) in terms of t. f(t) = Preview c. How long does it take for Diego to complete one full revolution on the Ferris wheel? minutes PreviewDetermine the amplitude, period, and phase shift of the function. Graph the function. y = 8 sin (2Tx - 3) The amplitude is. (Simplify your answer.) The period is | (Type an exact answer, using t as needed. Use integers or fractions for any numbers in the expression.) The phase shift is (Type an exact answer, using t as needed. Use integers or fractions for any numbers in the expression.) Use the graphing tool to graph the function. Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer. Type the word pi to insert the symbol T as needed.)
- An object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) 7 centimeters, and then released. Write an equation for the distance d of the object from its rest position, after t seconds if the amplitude is 7 centimeters and the period is 8 seconds. The equation for the distance d of the object from its rest position is. (Type an exact answer, using as needed. Use integers or fractions for any numbers in the equation.) K # 3 $ 69 + 4 X % Urolo 5 A 6 MacBook Pro & 7 * 00 8 TITL ( + Next delet%3D Write the equation of a sine function with Amplitude = 7 and Period = 8. Type the equation in the form y = Asin(@x) or y = Acos(@x). Select the correct choice below and fill in the answer box to complete your choice. A. There is one equation. It is y = (Simplify your answers. Type an exact answer, using t as needed. Use integers or fractions for any numbers in the expression.) B. There are two equations; the equation when A 0 is y = C. There are two equations; the equation when w 0 is y =: (Simplify your answers. Type an exact answer, using t as needed. Use integers or fractions for any numbers in the expression.) %3DAn object is attached to a coiled spring. The object begins at its rest position at t=0 seconds. It is then propelled downward. Write an equation for the distance of the object from its rest position after t seconds, if the amplitude is 3 inches and the period is 1.5 seconds. The equation for the distance d of the object from its rest position is. (Type an exact answer, using as needed. Use integers or fractions for any numbers in the equation.)
- Jeremy boards a Ferris wheel at the 3- o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 7.3 radians per minute and has a radius of 50 feet. Let t represent the number of seconds since the Ferris wheel started rotating. a. Write an expression (in terms of t) to represent the varying number of radians Jeremy has swept out since the Ferris wheel started rotating. Preview b. Write a function f that determines Jeremy's distance above the center of the Ferris wheel (in feet) in terms of t. f(t) = Preview c. How long does it take for Jeremy to complete one full revolution on the Ferris wheel? Preview minutesEnter each answer as a whole number (like -4, 0, or 253) or as a decimal number (like 7.43 or -2.15) or as DNE for Does Not Exist or undefined. Use RADIAN mode for trig functions. (Report your answer rounded to 2 decimal places.) x + 3 lim x →3 IIFind the amplitude, period, and displacement of the function. Graph the function. Show at least one period. y = 4 sin (3rx + 9) Type the amplitude, period, and displacement of the function. Amplitude = Period = Displacement =| (Simplify your answer. Type an exact answer, using t as needed. Use integers or fractions for any numbers in the expression.) Choose the correct graph of the function y = 4 sin (3Tx + 9). %3D O A. O B. OC. OD. .y 2x- 4-9-2x 2л -9 9- 2x
