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hammer [34]
2 years ago
9

A) Show that sin 3x = 3 sin x - 4 sin³ x

Mathematics
1 answer:
svp [43]2 years ago
3 0
A) linked photo
b) linked photo
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A particle moves along the curve y = 5x^2 – 1 in such a way that the y value is decreasing at the rate of 2 units per second. At
Shtirlitz [24]

Answer:

The correct option is;

Increasing one fifth unit/sec

Step-by-step explanation:

The equation that gives the curve of the particle of the particle is y = 5·x² - 1

The rate of decrease of the y value dy/dt = 2 units per second

We have;

dy/dx = dy/dt × dt/dx

dy/dx = 10·x

dy/dt = 2 units/sec

dt/dx = (dy/dx)/(dy/dt)

dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)

When x = 1

dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec

dx/dt = 1/5 unit/sec

Therefore, x is increasing one fifth unit/sec.

8 0
3 years ago
What's 9+10=?<br>What's 9+10=?<br>What's 9+10=?<br>What's 9+10=?​
dangina [55]

Answer:

19

Step-by-step explanation:

Its 19

9+10 is 19

Yeah

im just putting random words so it'll let me post this

7 0
2 years ago
Read 2 more answers
A certain drug dosage calls for 8 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 82 poun
frez [133]

Step-by-step explanation:

Dosage per kg per day = 8mg

2 doses = 4mg

If a person weighs 82 pounds =? mg

1kg = 2.205 pounds

So 82 ÷ 2.205 = 37. 195 kg

So he should receive 37. 195 mg every 12 hours

3 0
3 years ago
What is the slope of the line that passes through the points (-3,1) and (7,-14)
Katyanochek1 [597]

Answer:

-  \frac{3}{2}

Step-by-step explanation:

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Using the formula above,

slope of line

=  \frac{1 - ( - 14)}{ - 3 - 7}  \\  =  \frac{1 + 14}{ - 10}  \\  =  \frac{15}{ - 10}  \\  =  -  \frac{3}{2}

5 0
3 years ago
Simplify 6x + 8 / 4x + 4
Mars2501 [29]

(6x + 8) / (4x + 4)
(3x +4)   2(x  1)

2(3x + 4)  4(x +1) 
3 0
3 years ago
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