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3. Below is a graph of y = f'(x). Given f(0) = 0, draw a graph of y = f(x). Use the given areas of triangles and rectangles to help you plot known y-values on your graph of y = f(x). (16pts) 2 y=f'(x) X Note, your graph is a series of piecewise parabolas and 2 non-horizontal line segments, plot a point for every INTEGER value of x. 4. A driver applies the brakes to her car and slows to a stop with constant deceleration. If she was traveling 60 mph when she applied the brakes and it took her 20 seconds to stop, how far did she travel? Think about what v(0) is and v(20) is. Pay attention to units! Try converting miles per hour to feet per second. Show how you came up with your conversions. (10 pts) 5. A subway train travels 2440 ft. between two stations. It starts from rest and accelerates at a rate of $\frac{4 ft}{sec^2}$ until its velocity reaches a cruising speed of 40 ft/sec. It then moves at this constant velocity for a while before slowing to rest at the next stop with an acceleration of $-\frac{5 ft}{sec^2}$. Find the total time for the trip between the stations. (10 pts)

          3. Below is a graph of y = f'(x). Given f(0) = 0, draw a graph of y = f(x). Use the given areas of
triangles and rectangles to help you plot known y-values on your graph of y = f(x). (16pts)
2
y=f'(x)
X
Note, your graph is a series of piecewise parabolas and 2 non-horizontal line segments,
plot a point for every INTEGER value of x.
4. A driver applies the brakes to her car and slows to a stop with constant deceleration. If she was
traveling 60 mph when she applied the brakes and it took her 20 seconds to stop, how far did she
travel? Think about what v(0) is and v(20) is. Pay attention to units! Try converting miles per hour to
feet per second. Show how you came up with your conversions. (10 pts)
5.
A subway train travels 2440 ft. between two stations. It starts from rest and accelerates at a rate
of $\frac{4 ft}{sec^2}$ until its velocity reaches a cruising speed of 40 ft/sec. It then moves at this constant velocity
for a while before slowing to rest at the next stop with an acceleration of $-\frac{5 ft}{sec^2}$. Find the total time
for the trip between the stations. (10 pts)

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3. Below is a graph of y = f'(x). Given f(0) = 0, draw a graph of y = f(x). Use the given areas of
triangles and rectangles to help you plot known y-values on your graph of y = f(x). (16pts)
2
y=f'(x)
X
Note, your graph is a series of piecewise parabolas and 2 non-horizontal line segments,
plot a point for every INTEGER value of x.
4. A driver applies the brakes to her car and slows to a stop with constant deceleration. If she was
traveling 60 mph when she applied the brakes and it took her 20 seconds to stop, how far did she
travel? Think about what v(0) is and v(20) is. Pay attention to units! Try converting miles per hour to
feet per second. Show how you came up with your conversions. (10 pts)
5.
A subway train travels 2440 ft. between two stations. It starts from rest and accelerates at a rate
of (4 ft)/(sec^2) until its velocity reaches a cruising speed of 40 ft/sec. It then moves at this constant velocity
for a while before slowing to rest at the next stop with an acceleration of -(5 ft)/(sec^2). Find the total time
for the trip between the stations. (10 pts)

Added by Nerea S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Suman K

07/05/2022

Step 1

However, since we are only given the areas of triangles and rectangles, we can use the Fundamental Theorem of Calculus to find the net area under the curve f'(x) from 0 to x, which will give us the value of f(x) at each integer value of x. Plot these points and Show more…

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help please will rate Below is a graph of y=f^(')(x). Given f(0)=0, draw a graph of y=f(x). Use the given areas of triangles and rectangles to help you plot known y-values on your graph of y=f(x). (16pts) pIOt a poInt ror every IIVIEGEK value or x. A driver applies the brakes to her car and slows to a stop with constant deceleration. If she was traveling 60mph when she applied the brakes and it took her 20 seconds to stop, how far did she travel? Think about what v(0) is and v(20) is. Pay attention to units! Try converting miles per hour to feet per second. Show how you came up with your conversions. (10 pts) A subway train travels 2440ft. between two stations. It starts from rest and accelerates at a rate of 4(ft)/(sec^(2)) until its velocity reaches a cruising speed of 40f(t)/(sec). It then moves at this constant velocity for a while before slowing to rest at the next stop with an acceleration of -5(ft)/(sec^(2)). Find the total time for the trip between the stations. (10 pts) 3.Below is a graph of y=fx.Given fO)=O,draw a graph of y=fx.Use the given areas of triangles and rectangles to help you plot known y-values on your graph of y = f(). (16pts) y=f'(x) Note,your graph is a series of piecewise parabolas and 2 non-horizontal line segments plot a point for every INTEGER value of x. 4. A driver applies the brakes to her car and slows to a stop with constant deceleration. If she was traveling 60 mph when she applied the brakes and it took her 20 seconds to stop,how far did she travel? Think about what v(0) is and v(20) is. Pay attention to units! Try converting miles per hour to feet per second. Show how you came up with your conversions.(10 pts) 5. A subway train travels 2440 ft.between two stations.It starts from rest and accelerates at a rate until its velocity reaches a cruising speed of 40 ft/sec.It then moves at this constant velocity sec2 .Find the total time sec2 for the trip between the stations. (10 pts)

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