Deck 7: Extension A: Differential Equations

Question 1

Find the values of c such that the area of the region bounded by the parabolas is

Answer 1

Question 2

Sketch the region bounded by the graphs of the given equations and find the area of that region.
y = + 4,y = 2x + 1

Answer 2

Question 3

Racing cars driven by Chris and Kelly are side by side at the start of a race.The table shows the velocities of each car (in miles per hour)during the first ten seconds of the race.Use the Midpoint Rule to estimate how much farther Kelly travels than Chris does during the first ten seconds.

Answer 3

ft

Question 4

Sketch the region enclosed by Find the area of the region.

Question 5

Find the area of the shaded region.

A) 7
B)
C)
D)

Question 6

Graph the region between the curves and use your calculator to compute the area correct to five decimal places.

A) 3.141257
B) 91.504
C) 18.3008
D) 12.08127
E) 3.66016

Question 7

Find the area of the region bounded by the given curves.

A)
B)
C)
D)
E) None of these

Question 8

Find the number b such that the line divides the region bounded by the curves and into two regions with equal area.

A)
B)
C)
D)
E)

Question 9

Find the area of the shaded region.

A)
B)
C)
D)

Question 10

Find the area of the region bounded by the given curves.

A) 4
B) 2
C)
D)
E)

Question 11

Find the area of the region bounded by the parabola ,the tangent line to this parabola at ,and the x axis.

A)
B)
C)
D)
E)