Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Students have asked these similar questions
Graph the curve with parametric equations
x = sin(t), y = 2 sin(2t), z = sin(3t).
And Find the total length of this curve correct to four decimal places.
Calculus 3
Use the parameter t to write parametric equations representing the given curve.
Line passing through (0, 2) and (3, 1)
The figure shows the parametric equations and the path for a ball thrown from a height of 5 ft, with an initial speed of 100 ft/s and at an angle of 45° with the horizontal.
y (feet)
x= (50/2)t
y= 5+(50/2)t– 16??
80
60
40
20 -
x (feet)
100
200
300
(a) Compute the x- and y-coordinates of the ball when t = 2, 3, and 4 seconds. (Round the answers to one decimal place.)
t = 2
(х, у)
(x, y) = (
t = 3
t = 4
(х, у)
=
(b) How long is the ball in flight? (Round the answer to two decimal places.)
sec
What is the total horizontal distance traveled by the ball before it lands? (Round to the nearest foot.)
ft
Knowledge Booster
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- Graph the pair of parametric equations for 0 ≤t≤ 2. Describe any differences in the two graphs. (a) x = 8 cost, y = 8 sin t (b) x = 8 cos 6t, y = 8 sin 6t ... (a) Graph the first pair of parametric equations x=8 cost, y = 8 sin t. Use the graphing tool to graph the function. Click to enlarge graph CILDarrow_forwardFind parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = In Ink. t-,-4 i+ j+ What is the standard parameterization for the tangent line? y = (Type expressions using t as the variable.)arrow_forwardPlz asaparrow_forward
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