All categories

3 years ago

A³+b³+c³-3abc is = ____

Mathematics

1 answer:

mezya [45]3 years ago

7 0

Answer:

open the photo u will find answer

okkk...

plz mark as brainliest plz friend

You might be interested in

1/4 cupcakes for 28 kids

MaRussiya [10]

14 ÷ 28 =7 its must 28÷4

7 0

3 years ago

Find the area of a parallelogram with a base of 14 m and a height of 5 m.

lapo4ka [179]

Answer:70 m

Step-by-step explanation:

4 0

2 years ago

Let f(x) = 1/x^2 (a) Use the definition of the derivatve to find f'(x). (b) Find the equation of the tangent line at x=2

Verdich [7]

Answer:

(a) $f'(x)=-\frac{2}{x^3}$

(b) $y=-0.25x+0.75$

Step-by-step explanation:

The given function is

$f(x)=\frac{1}{x^2}$ .... (1)

According to the first principle of the derivative,

$f'(x)=lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

$f'(x)=lim_{h\rightarrow 0}\frac{\frac{1}{(x+h)^2}-\frac{1}{x^2}}{h}$

$f'(x)=lim_{h\rightarrow 0}\frac{\frac{x^2-(x+h)^2}{x^2(x+h)^2}}{h}$

$f'(x)=lim_{h\rightarrow 0}\frac{x^2-x^2-2xh-h^2}{hx^2(x+h)^2}$

$f'(x)=lim_{h\rightarrow 0}\frac{-2xh-h^2}{hx^2(x+h)^2}$

$f'(x)=lim_{h\rightarrow 0}\frac{-h(2x+h)}{hx^2(x+h)^2}$

Cancel out common factors.

$f'(x)=lim_{h\rightarrow 0}\frac{-(2x+h)}{x^2(x+h)^2}$

By applying limit, we get

$f'(x)=\frac{-(2x+0)}{x^2(x+0)^2}$

$f'(x)=\frac{-2x)}{x^4}$

$f'(x)=\frac{-2)}{x^3}$ .... (2)

Therefore $f'(x)=-\frac{2}{x^3}$ .

(b)

Put x=2, to find the y-coordinate of point of tangency.

$f(x)=\frac{1}{2^2}=\frac{1}{4}=0.25$

The coordinates of point of tangency are (2,0.25).

The slope of tangent at x=2 is

$m=(\frac{dy}{dx})_{x=2}=f'(x)_{x=2}$

Substitute x=2 in equation 2.

$f'(2)=\frac{-2}{(2)^3}=\frac{-2}{8}=\frac{-1}{4}=-0.25$

The slope of the tangent line at x=2 is -0.25.

The slope of tangent is -0.25 and the tangent passes through the point (2,0.25).

Using point slope form the equation of tangent is

$y-y_1=m(x-x_1)$

$y-0.25=-0.25(x-2)$

$y-0.25=-0.25x+0.5$

$y=-0.25x+0.5+0.25$

$y=-0.25x+0.75$

Therefore the equation of the tangent line at x=2 is y=-0.25x+0.75.

5 0

3 years ago

Brian has reduced his cholesterol level by 20% after his last check up. If his original level was 240, what is his cholesterol l

dybincka [34]

Answer:

192

Step-by-step explanation:

20% of 240 is 48

240-48 = 192

8 0

3 years ago

Read 2 more answers

Joan’s washing machine tub is a cylinder with a height of 17 in. and a diameter of 22 in. Her washer was half full of water when

xxMikexx [17]

Find the volume of the cylinder and divide by 2:

V = pi * r^2 * h

V = 3.14 * 11^2 * 17

V = 6458.98

Divide by 2 since it's half full:

6458.98 / 2 = 3229.49

Now divide it by 46.2 to see how long it will take to drain out:

3229.49 / 46.2 = 69.902

So it will take approximately 70 seconds to drain out.

4 0

3 years ago

A³+b³+c³-3abc is = ____​

A³+b³+c³-3abc is = ____