MA 122
1/22/13
7.1 Antiderivatives
In MA 121, we covered Differential Calculus, the study of derivatives and the rate at
which a quantity changes. This semester, we will study another branch of calculus called
Integral Calculus.
Derivatives give the rate
Ch 8 Test Review
Algebra I 300
Name:
Date:
We have examined three different methods to solving Systems of Equations.
Method
1. Graphing Method
Steps
1) Write equations in slope-intercept form.
2) Graph each line.
3) Find the intersecting point.
4) Check t
Practice Example 3:
Greta just got her drivers license. Today, she is going on a big trip to visit Harvard.
After two hours, she is 200 miles away from Harvard. After four hours, she is now only
100 miles away from Harvard.
a) Let x represent the number o
Example 1: You and your family go to Rancho Toro restaurant for dinner. You would
like to start out with nachos. An order of plain nachos costs $6. Each additional topping
costs $1.00 each. You would like to order 3 additional toppings chili, chicken, and
Applications of Linear Equations
Algebra I 300
Name:
Date:
PIZZA TIME!
You and your friends go to Ferrantes Pizzeria for dinner. A plain pizza costs $10. If you
would like any additional toppings, they would cost $2.00 each. Your friends decide that they
Name: _
1) Use the definition of area under a curve to find the area between y = 2x + 3, the x-axis, and the vertical
lines x = 0 and x = 4.
2) Use the definition of area under a curve to find the area between y = x , the x-axis, and the vertical lines
x
Up to this point weve dealt with differential calculus (involving the concept of tangents
to curves and derivatives). We will now move on to integral calculus, which deals
primarily with areas under curves.
Example: If I travel at 75 mph (constant velocit
Math 2415
Homework Set 9
Line Integrals of Vector Fields
For problems 1 and 2 evaluate
10 Points
rr
r
F g dr for the given vector field, F , and the given curve, C.
C
r
r
r
x2 y2
2
1. F ( x, y ) = x i + ( x + 2 y ) j where C is the bottom right half of
+