Deck 4: Extension G: Applications of Differentiation

Full screen (f)
exit full mode
Question
Find the most general antiderivative of the function. Find the most general antiderivative of the function.   <div style=padding-top: 35px>
Use Space or
up arrow
down arrow
to flip the card.
Question
Find f. Find f.   <div style=padding-top: 35px>
Question
A car braked with a constant deceleration of 40 A car braked with a constant deceleration of 40   ,producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied? <div style=padding-top: 35px> ,producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied?
Question
What constant acceleration is required to increase the speed of a car from 20 ft/s to 45 ft/s in 4 s?
Question
<strong> </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong> </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong> </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong> </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong> </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong> </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at <strong>Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at   is   ,find f (1).</strong> A) 11 B) 0 C) 6 D) 12 E) 1 <div style=padding-top: 35px> is <strong>Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at   is   ,find f (1).</strong> A) 11 B) 0 C) 6 D) 12 E) 1 <div style=padding-top: 35px> ,find f (1).

A) 11
B) 0
C) 6
D) 12
E) 1
Question
Find the position function of a particle moving along a coordinate line that satisfies the given conditions.
Find the position function of a particle moving along a coordinate line that satisfies the given conditions.   ,s (0)= 5,v (0)= 0 <div style=padding-top: 35px> ,s (0)= 5,v (0)= 0
Question
Find the most general antiderivative of the function. Find the most general antiderivative of the function.   <div style=padding-top: 35px>
Question
Find the position function of a particle moving along a coordinate line that satisfies the given condition.
Find the position function of a particle moving along a coordinate line that satisfies the given condition.   ,s(1)= -1 <div style=padding-top: 35px> ,s(1)= -1
Question
A particle is moving with the given data.Find the position of the particle. <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
<strong> </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>

A) <strong> </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
B) <strong> </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
C) <strong> </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
D) <strong> </strong> A)   B)   C)   D)   E) None of these <div style=padding-top: 35px>
E) None of these
Question
Find the most general antiderivative of the function.
<strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Unlock Deck
Sign up to unlock the cards in this deck!
Unlock Deck
Unlock Deck
1/12
auto play flashcards
Play
simple tutorial
Full screen (f)
exit full mode
Deck 4: Extension G: Applications of Differentiation
1
Find the most general antiderivative of the function. Find the most general antiderivative of the function.
2
Find f. Find f.
3
A car braked with a constant deceleration of 40 A car braked with a constant deceleration of 40   ,producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied? ,producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied?
69.28
4
What constant acceleration is required to increase the speed of a car from 20 ft/s to 45 ft/s in 4 s?
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
5
<strong> </strong> A)   B)   C)   D)   E)

A) <strong> </strong> A)   B)   C)   D)   E)
B) <strong> </strong> A)   B)   C)   D)   E)
C) <strong> </strong> A)   B)   C)   D)   E)
D) <strong> </strong> A)   B)   C)   D)   E)
E) <strong> </strong> A)   B)   C)   D)   E)
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
6
Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at <strong>Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at   is   ,find f (1).</strong> A) 11 B) 0 C) 6 D) 12 E) 1 is <strong>Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at   is   ,find f (1).</strong> A) 11 B) 0 C) 6 D) 12 E) 1 ,find f (1).

A) 11
B) 0
C) 6
D) 12
E) 1
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
7
Find the position function of a particle moving along a coordinate line that satisfies the given conditions.
Find the position function of a particle moving along a coordinate line that satisfies the given conditions.   ,s (0)= 5,v (0)= 0 ,s (0)= 5,v (0)= 0
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
8
Find the most general antiderivative of the function. Find the most general antiderivative of the function.
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
9
Find the position function of a particle moving along a coordinate line that satisfies the given condition.
Find the position function of a particle moving along a coordinate line that satisfies the given condition.   ,s(1)= -1 ,s(1)= -1
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
10
A particle is moving with the given data.Find the position of the particle. <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)   , <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)

A) <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)
B) <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)
C) <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)
D) <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)
E) <strong>A particle is moving with the given data.Find the position of the particle.   ,  </strong> A)   B)   C)   D)   E)
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
11
<strong> </strong> A)   B)   C)   D)   E) None of these

A) <strong> </strong> A)   B)   C)   D)   E) None of these
B) <strong> </strong> A)   B)   C)   D)   E) None of these
C) <strong> </strong> A)   B)   C)   D)   E) None of these
D) <strong> </strong> A)   B)   C)   D)   E) None of these
E) None of these
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
12
Find the most general antiderivative of the function.
<strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)

A) <strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)
B) <strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)
C) <strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)
D) <strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)
E) <strong>Find the most general antiderivative of the function.  </strong> A)   B)   C)   D)   E)
Unlock Deck
Unlock for access to all 12 flashcards in this deck.
Unlock Deck
k this deck
locked card icon
Unlock Deck
Unlock for access to all 12 flashcards in this deck.