A calculator may not be used on the following questions. A particle moves in the xy-plane for values of time t in the interval 1.25 St≤3.75 according to the parametric equations x(t)=sin(7) and y(t)=3-28²+40t. For what value(s) of t in this interval is the line tangent to the path of the particle vertical? Select one: a. 1.5, 2.5, 3 and 3.5 only O b. 1.5, 2.5, and 3.5 only O c. 2 and 3 only O d. 3 only

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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A calculator may not be used on the following questions.
A particle moves in the xy-plane for values of time t in the interval 1.25 St≤3.75 according to the
parametric equations x(t)=sin(7) and
y(t)=3-28²+40t. For what value(s) of t in this interval is the line tangent to the path of the
particle vertical?
Select one:
a.
1.5, 2.5, 3 and 3.5 only
O b. 1.5, 2.5, and 3.5 only
O c.
2 and 3 only
O d. 3 only
Transcribed Image Text:A calculator may not be used on the following questions. A particle moves in the xy-plane for values of time t in the interval 1.25 St≤3.75 according to the parametric equations x(t)=sin(7) and y(t)=3-28²+40t. For what value(s) of t in this interval is the line tangent to the path of the particle vertical? Select one: a. 1.5, 2.5, 3 and 3.5 only O b. 1.5, 2.5, and 3.5 only O c. 2 and 3 only O d. 3 only
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