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Chapter 4: Q. 1 (page 327)

Use the graph of f to estimate the values of A(1), A(2), A(3)

Short Answer

Expert verified

The area of A(1) is zero

The area of A(2) is 2.5 sq. units

The area of A(3) is 8.5 sq. units

Step by step solution

01

Given information

We are given a figure

02

Give the areas using the gridlines

We first find the area A(1)

Now now grids in between A(1) Hence the area is zero

Now we find the area A(2)

The are 2 complete grids and a half grid

Hence the area is approximately 2.5 sq. units

Now we find the area A(3)

The are 7 complete grids and 3 half grids covered in between

Hence the area is 8.5 sq.units

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Most popular questions from this chapter

Given a simple proof that $\sum_{k = 5}^{n} (a_{k} + b_{k}) = \sum_{k = 5}^{n} a_{k} + \sum_{k = 5}^{n} b_{k}$

Fill in each of the blanks:

(a) $\int x^{6} d x = + C .$

(b) is an antiderivative of role="math" localid="1648619282178" $x^{6} .$

(c) The derivative of is $x^{6} .$

Given a simple proof that $\sum_{k = 0}^{n} 3 a_{k} = 3 \sum_{k = 0}^{n} a_{k}$

Fill in each of the blanks:

(a) $\int d x = x^{6} + C .$

(b) $x^{6}$ is an antiderivative of .

(c) The derivative of $x^{6}$ is .

If $\int_{- 2}^{3} f (x) d x = 4, \int_{- 2}^{6} f (x) d x = 9, \int_{- 2}^{3} g (x) d x = 2$ , and $\int_{3}^{6} g (x) d x = 3$ , then find the values of each definite integral in Exercises $29 - 40$ . If there is not enough information, explain why.

$\int_{- 2}^{- 2} x (f (x) + 3)^{2} d x$

See all solutions

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