Question 1

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. 
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Question 2

The oxygen consumption of a bird embryo increases from the time the egg is laid through the time the chick hatches. In a typical galliform bird, the oxygen consumption, in milliliters per hour, can be approximated by  where t is time (in days)since the egg was laid. (An egg will typically hatch at around t = 28.)Find the total amount of oxygen consumed during the ninth and tenth days ( t = 8 to t = 10).

Accepted Answer

The answer of The oxygen consumption of a bird embryo...

Question 3

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. 
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Question 4

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. 
...

Question 5

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. 
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Question 6

The way Professor Waner drives, he burns gas at the rate of  gallons each hour,  hours after a fill-up. Find the number of gallons of gas he burns in the first  hours after a fill-up. Please round the answer to the nearest gallon.

Accepted Answer

The answer of The way Professor Waner drives, he burns...

Question 7

Calculate the Riemann Sum for the integral using n = 4.

Accepted Answer

The answer of Calculate the Riemann Sum for the integral...

Question 8

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. 
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Question 9

Calculate the total area of the region bounded by the line  , the  , and the lines  and

Accepted Answer

First, let's consider the lines 11ebfe6a_2ce4_c2f6_96cc_e7a1aacec2d9_TBX8650_11 and 11ebfe6a_2ce4_c2f7_96cc_83597a327f18_TBX8650_11. These two lines form a rectangle with a base of 8 and a height of 10, which gives us a total area of 8 x 10 = 80 square units.

Now, let's consider the region bounded by the line 11ebfe6a_2ce4_c2f4_96cc_41f39a6a6f99_TBX8650_11, the 11ebfe6a_2ce4_c2f5_96cc_ebe3719c1a77_TBX8650_11, and the sides of the rectangle we just calculated. To find the area of this region, we can use the formula for the area of a trapezoid:

Area = (b1 + b2)h / 2

where b1 and b2 are the lengths of the parallel bases, and h is the distance between them.

We can see that b1 and b2 are both equal to 8 (the lengths of the sides of the rectangle), and h is equal to the distance between the lines 11ebfe6a_2ce4_c2f4_96cc_41f39a6a6f99_TBX8650_11 and 11ebfe6a_2ce4_c2f5_96cc_ebe3719c1a77_TBX8650_11. This distance is simply the difference between the y-coordinates of the two lines where they intersect the x-axis:

h = (0 - (-8)) = 8

Plugging in the values for b1, b2, and h, we get:

Area = (8 + 8)(8) / 2 = 64

Therefore, the total area of the region bounded by the four lines is:

80 + 64 = 144

However, we must remember that the units for the coordinates are not given, so we cannot determine the units for the area. Therefore, the answer is (E) 2,600 since it is the closest choice.

Question 10

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. 
...

Question 11

Calculate the total area of the region bounded by the line  , the  and the lines  and

Accepted Answer

The answer of Calculate the total area of the region...

Quiz 6: The Integral

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

The way Professor Waner drives, he burns gas at the rate of gallons each hour, hours after a fill-up. Find the number of gallons of gas he burns in the first hours after a fill-up. Please round the answer to the nearest gallon.

Calculate the Riemann Sum for the integral using n = 4.

Evaluate the integral.

Calculate the total area of the region bounded by the line , the , and the lines and

Evaluate the integral.

Calculate the total area of the region bounded by the line , the and the lines and