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rjkz [21]
2 years ago
9

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]2 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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The value of (-8/13×26/-3) ​
ahrayia [7]

Answer:

<h2>5.33</h2>

Step-by-step explanation:

Given the expression -8/13×26/-3, getting the equivalent expression means multiplying the two fractions -8/13 and 26/-3 together as shown;

\frac{-8}{13} * \frac{26}{-3}\\ \\= \frac{-8*26}{13*-3}\\ \\multiplying\ out \ the\  numerator\ and\ denominator;\\\\= \frac{-208}{-39} \\\\cancelling out the negative sign we will have;\\\\= \frac{208}{39}\\\\= 5.33\\The\ resulting\ value\ is\ 5.33

3 0
3 years ago
Help me with this question please :)
Inessa05 [86]
<h3>Answer:  5040</h3>

Explanation:

There are 7 ways to pick the first place position, then 6 ways for second place, 5 for third, and so on. We count down until we get to 1

7,6,5,4,3,2,1

Multiply out those values to get the final answer. On many calculators this can be done using the factorial button, indicated as an exclamation mark

7! = 7*6*5*4*3*2*1 = 5040

4 0
2 years ago
An electronics store sells DVD players and cordless telephone. The store makes a $75 profit on the sale of each DVD player (d) a
Nata [24]
<h3>Inequality</h3>

75d + 30c ≥ 255

<h3>Examples</h3>

(1) If someone bought five DVD players and ten cordless telephones, the equation ((75)(5)+(30)(10)≥255) would be true.

(2) If the electronic store had a parcticularly bad day and they sold two DVD players and one cordless telephone, the equation ((75)(2)+(30)(1)≥255) would be false.

3 0
2 years ago
help here plz ! …..A taxi company charges a flat fee of $6.00, plus $1.10 per mile after the first 3 miles. Sarah’s taxi cab rid
Igoryamba

Answer:

2.5 miles

Step-by-step explanation:

22.50-6=16.50

16.50÷3=5.5

5 0
3 years ago
Read 2 more answers
Solve the following 3 × 3 system. Enter the coordinates of the solution below.
ICE Princess25 [194]

Step-by-step explanation:

2x - 3y - 2z = 4

[2] x + 3y + 2z = -7

[3] -4x - 4y - 2z = 10

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -3y - 2z - 7

// Plug this in for variable x in equation [1]

[1] 2•(-3y-2z-7) - 3y - 2z = 4

[1] - 9y - 6z = 18

// Plug this in for variable x in equation [3]

[3] -4•(-3y-2z-7) - 4y - 2z = 10

[3] 8y + 6z = -18

// Solve equation [3] for the variable z

[3] 6z = -8y - 18

[3] z = -4y/3 - 3

// Plug this in for variable z in equation [1]

[1] - 9y - 6•(-4y/3-3) = 18

[1] - y = 0

// Solve equation [1] for the variable y

[1] y = 0

// By now we know this much :

x = -3y-2z-7

y = 0

z = -4y/3-3

// Use the y value to solve for z

z = -(4/3)(0)-3 = -3

// Use the y and z values to solve for x

x = -3(0)-2(-3)-7 = -1

Solution :

{x,y,z} = {-1,0,-3}

6 0
2 years ago
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