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2 years ago

Let f (x)sinx cosx, then f'(x) =A. Cos2xB. sin2xC. tan 2xD. cos2x - sin2x

Mathematics

1 answer:

Degger [83]2 years ago

8 0

Answer:

A. Cos2x

Step-by-step explanation:

f(x) = sin(x)cos(x) = (1/2) sin(2x) using double angle formula.

f'(x) = ( (1/2)sin(2x) )' = 2(1/2)cos(2x) = cos(2x)

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How do I simplify 25/100?

goblinko [34]

25 /100 can be simplified by / both by 5 making your simplified fraction 5/20 and then again /5 to get 1/4

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2 years ago

What is the solution of the system? Use any method.<br><br> 3x + 2y = 7<br> y = –3x + 11

Gnom [1K]

Answer:

$(5,-4)$

Step-by-step explanation:

SOLVE BY SUBSTITUTION:

STEP 1: Replace all occurrences of $y$ with $-3x+11$ in each equation.

$-3x+22=7\\y=-3x+11$

STEP 2: Solve for $x$ in the first equation.

$x=5\\y=-3x+11$

STEP 3: Replace all occurrences of $x$ with $5$ in each equation.

$y=-4\\x=5$

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2 years ago

An object is moving at a speed of 920 yards every 3.5 hours Express the speed in miles per week

Kaylis [27]

Answer:

25.05 miles per week

Step-by-step explanation:

We know that,

1 mile = 1760 yards

⇒ 920 yards = 0.522 mile

1 week = 168 hour

We need to find ts speed in miles per week.

Speed = distance/time

$v=\dfrac{920\ \text{yards}}\\\\v=\dfrac{0.522\ \text{miles}}{\dfrac{3.5}{168}\ \text{week}}\\\\v=25.05\ \text{miles/week}$

So, the speed of the object is 25.05 miles per week.

6 0

2 years ago

How many ordered pairs of positive integers satisfy xY=32?

IRINA_888 [86]

Answer:

Step-by-step explanation:

xy = 32

x ; y is the divisor of 32

but : 32 = 2^5

6 ordered pairs of positive integers satisfy xY=32

(1;32) , (2;16) , (4; 8),(32; 1) , (16;2) , (8;4) .

4 0

2 years ago

Please help me <br>and please show good answers

MaRussiya [10]

Answer:

1st one is 0.021

2nd one is 0.009

the last question is 0.015 tho

6 0

1 year ago

Read 2 more answers

Let f (x)sinx cosx, then f'(x) =A. Cos2xB. sin2xC. tan 2xD. cos2x - sin2x​

Let f (x)sinx cosx, then f'(x) =A. Cos2xB. sin2xC. tan 2xD. cos2x - sin2x