4. Let x(t)=t3-4t+t,y(t)=t2-3t+3, find all of the following and sketch the tangent line at t=1. x(1) = y(1)= dy speed(1) = Be sure to graph the tangent line in your work. a. z(1) = Enter the exact value. b. (1)= Enter the exact value. dz C. dt at t=1: Enter the exact value. dy d. at t=1: dt Enter the exact value. e. dy at 1: da Enter the exact value. f. Speed at t = = 1: Enter the exact value.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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4. Let x(t)=t3-4t+t,y(t)=t2-3t+3, find all of the following and sketch the tangent line at t=1.
x(1) =
y(1)=
dy
speed(1) =
Be sure to graph the tangent line in your work.
a.
z(1) =
Enter the exact value.
b. (1)=
Enter the exact value.
dz
C.
dt
at t=1:
Enter the exact value.
dy
d.
at t=1:
dt
Enter the exact value.
e.
dy
at 1:
da
Enter the exact value.
f. Speed at t = = 1:
Enter the exact value.
Transcribed Image Text:4. Let x(t)=t3-4t+t,y(t)=t2-3t+3, find all of the following and sketch the tangent line at t=1. x(1) = y(1)= dy speed(1) = Be sure to graph the tangent line in your work. a. z(1) = Enter the exact value. b. (1)= Enter the exact value. dz C. dt at t=1: Enter the exact value. dy d. at t=1: dt Enter the exact value. e. dy at 1: da Enter the exact value. f. Speed at t = = 1: Enter the exact value.
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