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PolarNik [594]
3 years ago
12

I NEED HELP ASAP!!!!!!!

Mathematics
2 answers:
Aliun [14]3 years ago
8 0

Answer:

put (-3) in place of x then it will be 9-6 then f(-3)=3

DIA [1.3K]3 years ago
3 0

Answer:

f(-3)= 15

Step-by-step explanation:

f(-3) means x is equal to -3

-3 squared - 2(-3)

-3*-3 -2(-3)

*Negative multiplied by a negative equals a positive

9+6= 15

f(-3)= 15

Hope this helps!

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-2,4,-8,16... find the 20th term.
Len [333]

Answer:

I think the answer of this question is,

Step-by-step explanation:

The 20th term may be 1048576

7 0
3 years ago
Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by y=√x and y=x^2. Find V either by sl
Ede4ka [16]

Answer:

The volume of the solid is 3\pi/10

Step-by-step explanation:

In this case, the washer method seems to be easier and thus, it is the one I will use.

Since the rotation is around the y-axis we need to change de dependency of our variables to have f(x)\rightarrow f(y). Thus, our functions with y as independent variable are:

x=\sqrt{y}\\ x=y^2

For the washer method, we need to find the area function, which is given by:

A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]

By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function x=\sqrt{y} and the inner one by x=y^2. Thus, the area function is:

A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)

Now we just need to integrate. The integration limits are easy to find by just solving the equation \sqrt(y)=y^2, which has two solutions y=0 and y=1. These are then, our integration limits.

V=\pi\int_{0}^1 (y-y^4)dy\\ V=\pi (\int_{0}^1 ydy - \int_{0}^1 y^4dy)\\ V=\pi/2-\pi/5\\\boxed{V=3\pi/10}

3 0
3 years ago
Someone help answer this Linear equation word problems: graphs
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4 0
3 years ago
Read 2 more answers
Find the eigenvalues of the matrix: <br><br> [-43 0 80]<br> [40 -3 80]<br> [24 0 45]
saveliy_v [14]

Answer:

-3

1 + 4 sqrt( 241 )

1 - 4 sqrt( 241 )

Step-by-step explanation:

We need minus lambda on the entries down the diagonal. I'm going to use m instead of the letter for lambda.

[-43-m 0 80]

[40 -3-m 80]

[24 0 45-m]

Now let's find the determinant

(-43-m)[(-3-m)(45-m)-0(80)]

-0[40(45-m)-80(24)]

+80[40(0)-(-3-m)(24)]

Let's simplify:

(-43-m)[(-3-m)(45-m)]

-0

+80[-(-3-m)(24)]

Continuing:

(-43-m)[(-3-m)(45-m)]

+80[-(-3-m)(24)]

I'm going to factor (-3-m) from both terms:

(-3-m)[(-43-m)(45-m)-80(24)]

Multiply the pair of binomials in the brackets and the other pair of numbers;

(-3-m)[-1935-2m+m^2-1920]

Simplify and reorder expression in brackets:

(-3-m)[m^2-2m-3855]

Set equal to 0 to find the eigenvalues

-3-m=0 gives us m=-3 as one eigenvalue

The other is a quadratic and looks scary because of the big numbers.

I guess I will use quadratic formula and a calculator.

(2 +/- sqrt( (-2)^2 - 4(1)(-3855) )/(2×1)

(2 +/- sqrt( 15424 )/(2)

(2 +/- sqrt( 64 )sqrt( 241 )/(2)

(2 +/- 8 sqrt( 241 )/(2)

1 +/- 4 sqrt( 241 )

3 0
3 years ago
Is 89 the multiplicative reciprocal of -1 18 ? Why or why not?
Nady [450]

Answer:

Step-by-step explanation:

Multiplicative reciprocal of x is 1/x

Eg: Multiplicative reciprocal of 4 is 1/4

Multiplicative reciprocal of 1/8 = 8/1 = 8

Multiplicative reciprocal of 89 is  1/89

When we multiply a number and its Multiplicative reciprocal , the result will be 1

4*1/4 = 1  

6 0
3 years ago
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