Pls help me can't figure it out pls someone help me

Use synthetic division to solve the following: 2x^4 + 11x^3 + 13x^2 + 2x – 8 ÷ x +4

const2013 [10]

Answer:

x=-5

Step-by-step explanation:

5 0

3 years ago

Liang went to the bookstore. he spent 1/3 of his ,money on a pen and 4/7 of it on books. what fraction of his money did he have

svp [43]

Convert into like fractions -->
1/3 = 7/21 4/7 = 12/21
7+12 = 19
19/21 is spent therefore he has 2/21 left

8 0

3 years ago

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Use the surface integral in Stokes' Theorem to calculate the circulation of the field Bold Upper F equals x squared Bold i plus

Alinara [238K]

Answer:

The circulation of the field f(x) over curve C is Zero

Step-by-step explanation:

The function $f(x)=(x^{2},4x,z^{2})$ and curve C is ellipse of equation

$16x^{2} + 4y^{2} = 3$

Theory: Stokes Theorem is given by:

$I= \int \int\limits {{Curl f\cdot \hat{N }} \, dx$

Where, Curl f(x) = $\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\F1&F2&F3\end{array}\right]$

Also, f(x) = (F1,F2,F3)

$\hat{N} = grad(g(x))$

Using Stokes Theorem,

Surface is given by g(x) = $16x^{2} + 4y^{2} - 3$

Therefore, tex]\hat{N} = grad(g(x))[/tex]

$\hat{N} = grad(16x^{2} + 4y^{2} - 3)$

$\hat{N} = (32x,8y,0)$

Now, $f(x)=(x^{2},4x,z^{2})$

Curl f(x) = $\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\F1&F2&F3\end{array}\right]$

Curl f(x) = $\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\\frac{∂}{∂x} &\frac{∂}{∂y} &\frac{∂}{∂z} \\x^{2}&4x&z^{2}\end{array}\right]$

Curl f(x) = (0,0,4)

Putting all values in Stokes Theorem,

$I= \int \int\limits {Curl f\cdot \hat{N} } \, dx$

$I= \int \int\limits {(0,0,4)\cdot(32x,8y,0)} \, dx$

I=0

Thus, The circulation of the field f(x) over curve C is Zero

3 0

3 years ago

Hassan keeps picking playing cards out of a standard deck of 52 cards, hoping that he will draw a queen. There are four queens i

Andrei [34K]

Answer:43%

Step-by-step explanation:

just finished test

5 0

3 years ago

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Without using a calculator, determine the number of real zeros of the function

Natalija [7]

Answer:

1, -6

Step-by-step explanation:

Since there are alike numbers, add them together.

4x+x= 5x

Now the function is: f(x)= $x^{2}$ +5x-6

The function is in $a^{2}$ +bx+c form.

So find the factors of a x c = b.

Factors of -6(a) that fits (b)5 is (-1,6).

Then you just factor it:

f(x)= $x^{2}$ +5x-6

(x-1)(x+6)

x-1= 0 x+6=0

+1 +1 -6 -6

x=1 x=-6

Those are the real zeroes: 1, -6

4 0

3 years ago