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3 years ago

Use a definite integral to find the area under the curve between the given x-values. f(x) = 3 x from x = 1 to x = 8

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

4 0

Answer: 94.5

Step-by-step explanation:

Given

Function is $f(x)=3x$ and the boundary is $x=1\ \text{to}\ x=8$

Integrating the function

$\Rightarrow I=\int_{1}^{8}f(x)dx\\\\\Rightarrow I=\int_{1}^{8}3xdx\\\\\Rightarrow I=\left ( \frac{3x^2}{2} \right )_1^8\\\Rightarrow I=1.5(8^2-1^2)=1.5(64-1)\\\Rightarrow I=94.5$

The value of integral is 94.5

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Use a benchmark to find an equivalent percent for each fraction. 9/10 and 2/5. Please help! :o will mark brainliest if can!

denpristay [2]

Answer

9/10=90% and 2/5=40%

Explanation

9÷10=0.9 0.9x100=90%

2÷5=0.4 0.4x100=40%

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3 years ago

Your school is planning a fundraising dinner. The expense for this event must not exceed $2,475.00. The team organizing the even

max2010maxim [7]

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4 years ago

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How many feet long is the shadow of a 15-foot flagpole if a 5-foot woman standing at the base of the flagpole has a shadow that

Vikentia [17]

The height of flagpole is 12.5 feet.

Step-by-step explanation:

Given,

Height of woman = 5 foot

Shadow of woman = 6 feet

Ratio of height to shadow = 5:6

Shadow of flagpole = 15 foot

Height of flagpole = x

Ratio of height to shadow = x:15

Using proportion;

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$5:6::x:15\\$

Product of mean = Product of extreme

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Dividing both sides by 6

$\frac{6x}{6}=\frac{75}{6}\\x=12.5$

The height of flagpole is 12.5 feet.

Keywords: ratio, proportion

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#LearnwithBrainly

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3 years ago

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slamgirl [31]

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3 years ago

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pishuonlain [190]

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4 years ago

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