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The height hx), of an object is given by the function h(x)-16x +130x+ 114 where x...
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is t...
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is the time elapsed in seconds (a) After how many seconds does the object strike the ground? (b) What is the average velocity of the object from t- o until it hits the ground? (c) Find the instantaneous velocity of the object after I second ft/sec Find the instantaneous velocity of the object after 2 seconds. ft/sec...
5. The height of a ball S in feet at time x seconds is given by the equation S(x)=-16x 128x + 80 where 0sxs8 F...
5. The height of a ball S in feet at time x seconds is given by the equation S(x)=-16x 128x + 80 where 0sxs8 Find the instantaneous velocity at x 1 a. b. Find the instantaneous acceleration_ atx= I 6) Calculate the derivatives of the following functions a) f(x) sin x e43 b) f(x)=x arctan(e.) c) f(x) = x In x d) f(x) aresin(In(x2 +3x+1) e) f(x) 3x+1 C
5. The height of a ball S in feet at time...
An object moves up and down. Its height, h in feet, is a function of time,...
An object moves up and down. Its height, h in feet, is a function of time, t in seconds. It is known that • The domain is (-2,4). • The initial height is h(0) = 7 feet. • The graph of the velocity is h' (ft/s) 12 А. t(s) 1 -8 -12 1. What intervals is the height is increasing or decreasing? Enter answers using interval notation. Enter multiple intervals as comma-separated list. increasing (0.2) decreasing (-2,0), (2, 4) 2....
0, The height of an object, H, In fee is given in the graph after t...
0, The height of an object, H, In fee is given in the graph after t second have passed. In the graph the dependent variable is the height of the object in feet, and the independent variable is the number of seconds after it has been launched in the air. H(0) sentence that gives the real world meaning of the calculation) solve or evaluate and then write a complete H(t)-0 (solve or evaluate and then write a complete sentence that...
114. Average velocity The position of an object moving vertically along a line is given by...
114. Average velocity The position of an object moving vertically along a line is given by the function (t) = -4.912 + 300 + 20. Find the average velocity of the object over the following intervals. a. [0,3] b. 0,2] b. 0,2] C [0, 1] d. [0, h), where h > O is a real number
Locate the absolute extrema of the function f(x) = 4x4-16x-4 on the closed interval (-4,4 absolute...
Locate the absolute extrema of the function f(x) = 4x4-16x-4 on the closed interval (-4,4 absolute max: (-4, 124); no absolute min no absolute max or min no absolute max, absolute min: (-4, 124) absolute max: (14, 124); absolute min: (2, -20) absolute max: (2.-20), absolute min: (-4, 124) Question 3 1 pts The height of an object 1 seconds after it is dropped from a height of 350 meters is so - -4.91* +350. Find the average velocity of...
8) The height of a projectile moving vertically is given by the table, where t is...
8) The height of a projectile moving vertically is given by the table, where t is the elapsed time in seconds and h is the height in feet. t 0 1 2 3 4 h 800 2084 3336 4556 5744 6900 If the height is modeled by h(t) = -16t2 + vot + ho, where V, and ho are the velocity and height at t = 0, respectively, find vo
= 5t4 cos(t") + 2, where g(t) Suppose the velocity of an object is given by...
= 5t4 cos(t") + 2, where g(t) Suppose the velocity of an object is given by g(t) feet is measured in and t is measured in seconds. second Suppose c(t) represents the position (in feet) of the object at time t seconds. If c(0) = 10, find the position of the object at t = 5 seconds. feet Submit Question
4. The position of an object as a function of time is given by x(t) at-bt...
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
10. (1 point) If h(t) represents the height of an object in feet above ground level...
10. (1 point) If h(t) represents the height of an object in feet above ground level at time t and h(t) is given by h(t) = -1672 +13t+3 find the height of the object at the time when the speed is zero. The height of the object is h(t) feet. Answer(s) submitted:
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is the time elapsed in seconds (a) After how many seconds does the object strike the ground? (b) What is the average velocity of the object from t- o until it hits the ground? (c) Find the instantaneous velocity of the object after I second ft/sec Find the instantaneous velocity of the object after 2 seconds. ft/sec...
5. The height of a ball S in feet at time x seconds is given by the equation S(x)=-16x 128x + 80 where 0sxs8 Find the instantaneous velocity at x 1 a. b. Find the instantaneous acceleration_ atx= I 6) Calculate the derivatives of the following functions a) f(x) sin x e43 b) f(x)=x arctan(e.) c) f(x) = x In x d) f(x) aresin(In(x2 +3x+1) e) f(x) 3x+1 C
5. The height of a ball S in feet at time...
An object moves up and down. Its height, h in feet, is a function of time, t in seconds. It is known that • The domain is (-2,4). • The initial height is h(0) = 7 feet. • The graph of the velocity is h' (ft/s) 12 А. t(s) 1 -8 -12 1. What intervals is the height is increasing or decreasing? Enter answers using interval notation. Enter multiple intervals as comma-separated list. increasing (0.2) decreasing (-2,0), (2, 4) 2....
0, The height of an object, H, In fee is given in the graph after t second have passed. In the graph the dependent variable is the height of the object in feet, and the independent variable is the number of seconds after it has been launched in the air. H(0) sentence that gives the real world meaning of the calculation) solve or evaluate and then write a complete H(t)-0 (solve or evaluate and then write a complete sentence that...
114. Average velocity The position of an object moving vertically along a line is given by the function (t) = -4.912 + 300 + 20. Find the average velocity of the object over the following intervals. a. [0,3] b. 0,2] b. 0,2] C [0, 1] d. [0, h), where h > O is a real number
Locate the absolute extrema of the function f(x) = 4x4-16x-4 on the closed interval (-4,4 absolute max: (-4, 124); no absolute min no absolute max or min no absolute max, absolute min: (-4, 124) absolute max: (14, 124); absolute min: (2, -20) absolute max: (2.-20), absolute min: (-4, 124) Question 3 1 pts The height of an object 1 seconds after it is dropped from a height of 350 meters is so - -4.91* +350. Find the average velocity of...
8) The height of a projectile moving vertically is given by the table, where t is the elapsed time in seconds and h is the height in feet. t 0 1 2 3 4 h 800 2084 3336 4556 5744 6900 If the height is modeled by h(t) = -16t2 + vot + ho, where V, and ho are the velocity and height at t = 0, respectively, find vo
= 5t4 cos(t") + 2, where g(t) Suppose the velocity of an object is given by g(t) feet is measured in and t is measured in seconds. second Suppose c(t) represents the position (in feet) of the object at time t seconds. If c(0) = 10, find the position of the object at t = 5 seconds. feet Submit Question
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
10. (1 point) If h(t) represents the height of an object in feet above ground level at time t and h(t) is given by h(t) = -1672 +13t+3 find the height of the object at the time when the speed is zero. The height of the object is h(t) feet. Answer(s) submitted:
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