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Verdich [7]
2 years ago
12

Integral of x sqrt(36+x^2) when x = 6tan theta

Mathematics
1 answer:
vova2212 [387]2 years ago
3 0

(36+{x}^{2})x=6
x = 6

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What are the solutions of the compound inequality 2d + 3 ≤ –11 or 3d – 9 > 15?
jolli1 [7]

Answer:

A. d ≤ –7 or d > 8.

Step-by-step explanation:

Given  : 2d + 3 ≤ –11 or 3d – 9 > 15.

To find : What are the solutions of the compound inequality .

Solution : We have given 2d + 3 ≤ –11 or 3d – 9 > 15.

For  2d + 3 ≤ –11

On subtracting both sides by 3

2d  ≤ –11 - 3 .

2d  ≤ –14.

On dividing both sides by 2 .

d  ≤ –7.

For  3d – 9 > 15.

On adding both sides by 9.

3d > 15 + 9 .

3d > 24 .

On dividing both sides by 3 .

d > 8 .

So, A. d ≤ –7 or d > 8.

Therefore,  A. d ≤ –7 or d > 8.

7 0
3 years ago
A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How
Novay_Z [31]

Answer:

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is V=\frac{4}{3}\pi r^3

Differentiate the above formula with respect to time.

\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

Substitute the respective values in the above formula,

3=4\pi 6^2\frac{dr}{dt}

\frac{1}{48\pi}=\frac{dr}{dt}

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

When d=16

3=4\pi 8^2\frac{dr}{dt}

\frac{3}{256\pi}=\frac{dr}{dt}

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0
3 years ago
Do 3+5 and 5+3 represent the same expression
andrezito [222]
Hello there,

Yes, 3+5 and 5+3 do represent the same expression. This expression is called the commutative property.

Hope this helps.

~Jurgen.
3 0
3 years ago
Read 2 more answers
Duncan earned $22 in interest. If his investment paid 2.5% and he invested his money for 6 months, how much money did he origina
anyanavicka [17]

Answer:

For one month:22*.025=.55

For 6 moths: 6*.55 =3.3

The answer is 3.3 $

6 0
2 years ago
Simplify- 10x-8y +3x-2y
AleksandrR [38]

Answer:

13x-10y

Step-by-step explanation:

Combine like terms;

10x+3x = 13x

-8y-2y = -10y

So it would give the equation of 13x-10y

5 0
3 years ago
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