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2 years ago

6

Find the derivative dy, dx for y equals the quotient of the quantity x cubed minus 5 times x and the quantity x squared minus 1.

. Did I do this right.

1 answer:

Elza [17]2 years ago

7 0

Using the quotient rule

dy/dx = (x^-1) * (3x^2 -5 ) - (x^3 - 5x) * 2x
----------------------------------------------
(x^2 - 1)^2

You are correct

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Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +

nevsk [136]

Answer:

$x_2 \approx -1.769$

Step-by-step explanation:

Let $f(x)=x^3+x+7$

So $f'(x)=3x^2+1$

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$

Let $x_1=-2$

We are going to find $x_2$

So we are evaluating $-2-\frac{f(-2)}{f'(-2)}$

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

$f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3$

$f'(-2)=3(-2)^2+1=3(4)+1=12+1=13$

So

$x_2=-2-\frac{-3}{13} \\\\ x_2=\frac{-26+3}{13} \\\\ x_2=\frac{-23}{13} \\\\ x_2 \approx -1.769$

5 0

2 years ago

Find the angle θ between u = <7, –2> and v = <–1, 2>.

Dmitry_Shevchenko [17]

The angle between two vectors is:

CosФ = u - v / Magnitude(u) x magnitude(v)

Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)

Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)

u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11

cosФ = -11 / sqrt(53) x sqrt(5)

cosФ = -11sqrt265) / 265

Ф =cos^-1(-11sqrt265) / 265)

Ф=132.51 degrees.

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3 years ago

Read 2 more answers

LaToya had a large collection of basketball cards. She decided to give half of them to her friends, Aaron, and a fourth of them

Savatey [412]

1-1/2-1/4=1/4 If 75 is 1/4, then just divide to get the whole thing. 75/1/4=200
She had two hundred cards to start with. Hope this helps!!!

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3 years ago

-32 +(-18) =<br> Show step by step to answer

Nuetrik [128]

Answer:

-50

Step-by-step explanation:

-32 + ( -18 )

= - 32 - 18

= -50

Hope this helps!

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2 years ago

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Ms. Putnam is taking a group of students to a basketball game. Tickets to the basketball game cost $8 each. For each ticket that

Volgvan

Answer:

8x + 1x + 2x = $$

Step-by-step explanation:

I think this is the answer

5 0

2 years ago