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3 years ago

Find the volume of the larger cuboid using given measurement in smaller one.(cu.cm=cubic centimeter

Mathematics

1 answer:

kompoz [17]3 years ago

6 0

Answer:

c. 12 cu. cm.

Step-by-step explanation:

The larger cuboid is an array of 4 × 3 = 12 of the smaller ones. The volume of the smaller cube is (1 cm)³ = 1 cu. cm. The volume of the larger cuboid is 12 times that value:

12 × 1 cu. cm = 12 cu. cm.

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Y=4x-2tan(x), (-pi/2,pi/2)<br> which are the relative min and max?

Jlenok [28]

relative max = pi -2

relative min = -2 pi

Step-by-step explanation:

y= 4x- 2tan(x), (-pi/2,pi/2)

To find relative max and min,

According to mathematical procedure to find relative max and relative min,

the following procedure should be carry out.

Derivating equation with respect to x,

$\frac{dy}{dx} =\frac{d}{dx} (4\times x -2 \times tan x)$ .....(1)

Equating equation (1) to Zero,

We get,

$0 =\frac{d}{dy} (4\times x -2 \times tan x)$

$0 = 4 -2 \times sec^{2} x$

$4 = 2 \times sec^{2} x$

$2 = sec^{2} x$

$x= \frac{\pi }{4}$ ....stationary point

There are total three points

1. -pi/2 2. pi/2 3. pi/4

checking local min and local max

first considering -pi/2;

$\frac{d^{2}y }{dx^{2} } =\frac{d^{2} }{dx^{2} } (4\times x -2 \times tan x)$ ...(2)

putting x= pi/4 in equation (2),

we get,

$\frac{d^{2}y }{dx^{2} } = -4$ <0

So, we have local max at x=pi/4

by putting value of x in equation (1);

we get,

$y = 4\times (\pi /4 ) -2 \times tan (\pi /4 )$

$y = \pi - 2$ .... is maximum point.

Similarly, at x= -pi/ 2,

$\frac{d^{2}y }{dx^{2} } = 1$ >0

So, we have local min at x=-pi/2

by putting value of x in equation (1);

we get,

$y = 4\times (-\pi /2 ) -2 \times tan (-\pi /2 )$

$y = -2 \times \pi$ .... is minimum point

3 0

3 years ago

Read 2 more answers

Can someone help me solve A-D? I have answers in the back of the book, but I can't figure out how they (they being the author of

Ivan

Alright. So for:
a) 4(x+7)+3(x+5) Here we need to distribute the number outside of the parenthesis to the terms inside. So after distributing, we get 4x+28+3x+15. Then simplify this equation to 7x+43.
b) 3(2a+4b)+9(3a-2b) Same here. We distribute the number outside of the parenthesis to the terms inside. After distributing, we get 6a+12b+27a-18b. Then simplify to get 33a-6b.
c) 2(3u-5)-3(2u+1) As expected, same here. We distribute the number outside of the parenthesis. But here, we have a negative. Remember to distribute that as well. So we get 6u-10-6u-3. Then we simplify and get -13.
d) b(-5v-4)-2b(v+4) -_- Getting a bit boring... We distribute the variable from outside the parenthesis into the terms in the parenthesis. We get -5bv-4b-2bv-8b. Then simplify to get -3bv-12b.

**If you don't understand distributing, just let me know!

4 0

3 years ago

PLEASE HELP- I NEED CORRECT ANSWER!!

Sergio [31]

Answer:

y > 4x + 2

Step-by-step explanation:

Y is above the line so the value has to be greater than the line (or equal to, possibly). So it represents > or ≥

A dotted/dashed line is non-inclusive, so it represents < or >.

Since it is both above the line AND non-inclusive, we would use this sign:

and this equation :)

y > 4x + 2

<em>Have a nice day. Feel Free to ask questions. Spread the Love.</em>

7 0

3 years ago

Read 2 more answers

Inverse of P(m)=m/6+9

kari74 [83]

p(m)=6(m-9)

for the inverse of anything switch the y to x and the x to y and solve for y

8 0

4 years ago

In Exercises use synthetic division to perform the indicated division. Write the polynomial in the form

Nadusha1986 [10]

Answer:

p(x) = (x - 5)(x + 5) + 20

Step-by-step explanation:

(x² - 5) ÷ (x - 5) ⇒ we put zero in place of x in the dividend

(x² + 0 - 5) ÷ (x - 5) = x + (5x - 5) ÷ (x - 5)

= (x + 5) + 20 ÷ (x - 5)

The quotient = (x + 5) ⇒ q(x)

The remainder = 20 ⇒ r(x)

The divisor = (x - 5) ⇒ d(x)

∴ p(x) = (x - 5)(x + 5) + 20

7 0

3 years ago