What is the minimum value of the objective function, C with given constraints?

Urve revolves around the x-axis. if you cannot evaluate the integral exactly, use your calculator to approximate it. (round your

Archy [21]

The value of integration of y=16- $x^{2}$ from x=-1 to x=1 is 94/3.

Given the equation y=16- $x^{2}$ and the limit of the integral be x=-1,x=1.

We are required to find the value of integration of y=16- $x^{2}$ from x=-1 to x=1.

Equation is relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c.It may be linear equation, quadratic equation, or many more depending on the power of variable.

Integration is basically opposite of differentiation.

y=16- $x^{2}$

Find the integration of 16- $x^{2}$ .

=16x- $x^{3}/3$

Now find the value of integration from x=-1 to x=1.

=16(1)- $(1)^{3}/3$ -16(-1)- $(-1)^{3}/3$

=16(1)-1/3+16-1/3

=32-2/3

=(96-2)/3

=94/3

Hence the value of integration of y=16- $x^{2}$ from x=-1 to x=1 is 94/3.

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4 0

1 year ago

QUESTION 2. the feasible region shows the number of chairs x and tables y that a furniture company can build each week.

GalinKa [24]

Answer:

Part a) The company can not build 12 chairs and 5 tables

Part b) The company can build 18 chairs and 3 tables

Part c) The company can build 12,13,14,15,16 or 17 chairs

Step-by-step explanation:

we know that

If a ordered pair is a solution, then the ordered pair must be belong to the feasible region of the graph

Part a) Can the company build 12 chairs and 5 tables?

In this problem we have the ordered pair A(12,5)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point A is not on the feasible region

therefore

The company can not build 12 chairs and 5 tables

Part b) Can the company build 18 chairs and 3 tables?

In this problem we have the ordered pair B(18,3)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point B is on the feasible region

therefore

The company can build 18 chairs and 3 tables

Part c) One week, the company decides to build 4 tables. how many chairs can the company build?

For y=4

Find the value of x in the graph

The solutions point for y=4 tables are

(12,4), (13,4),(14,4),(15,4),(16,4) and (17,4)

therefore

The company can build 12,13,14,15,16 or 17 chairs

3 0

3 years ago

A complex shape with measurements 10 feet, 4 feet, 7 feet, 5 feet, 3 feet, 9 feet.

Archy [21]

Answer:

Add each side to get perimeter so your total is 38ft

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Help please?!??!? Find the volume

serious [3.7K]

Answer:

volume of the prism=(1/2×(6+12)×4)×10

=36×10

3 0

3 years ago

Find the equation of the line through point (8,−9) and perpendicular to 3+8=4.

raketka [301]

The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

We are aware that any straight line's equation can be expressed as

y = mx + c,

where m denotes the slope and c denotes a constant.

Also, two perpendicular lines' slopes are the negative reciprocals of one another.

Here, the equation of the given straight line is

3x+8y=4

i.e. 8y = 4 -3x

i.e. y = (4/8) - (3/8)x

Now the negative reciprocal of - 3/8 is 8/3.

Then we can write the equation of the perpendicular line is

y = (8/3)x + c ...(1)

Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.

So, -9 = (8/3)*8 + c

i.e. -9 = 64/3 + c

i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3

(1) can be written as

y = (8/3)x - (91/3)

i.e. 3y = 8x - 91

i.e. 8x - 3y = 91

Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

Learn more about perpendicular lines here -

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4 0

2 years ago