help basic cal

Question

Answer 1

13)

Step 1:

The curve .

-axis equation is .

Find the limits by equating forms.

Apply zero product property.

and

and

Limits are and .

Step 2:

Formula for area between the curve and -axis is .

Substitute the values and in .

square units.

Solution:

square units.

Answer 2

(14)

Step 1:

The curves   and  the line

and

Find the limits by equating forms.

Apply zero product property.

and

and

Limits are and .

Step 2:

Formula for the area between  curve an line is  .

In this case .

Substitute the values and in .

.

Square units.

Solution:

Square units.

Answer 3

(15)

Step 1:

The curves are and .

and

Find the limits by equating forms.

Apply zero product property.

, and

, and

Step 2:

Graph the functions.

Step 3:

Formula for the area between two curves .

In this case we need to find the area of two regions .

Where and

Square units.

Solution:

Square units.