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Sunny_sXe [5.5K]
2 years ago
8

If y = sin(x) Prove that dy/dx = y cot(x)

Mathematics
1 answer:
34kurt2 years ago
7 0

y=sin(x)\implies \cfrac{dy}{dx}=\boxed{cos(x)} \\\\[-0.35em] ~\dotfill\\\\ ycot(x)\implies \stackrel{y}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cfrac{cos(x)}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \boxed{cos(x)}

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A.(0,-3)<br> B.(3,0)<br> C.(0,3)<br> D.(-3,0) <br> Help please
Vinvika [58]

Answer:

Step-by-step explanation:

the solution to the system

= find the intersection of two lines

method( one )

solve the equations ( find(x , y) )

( 1 ) y = -x +3

( 2 ) y = x - 3

now , we let ( 1 ) + (2 )

we have 2y =0  ,thus y = 0

from ( 1 ) y = - x +3 , we know y = 0  ,

we rewrite ( 1 ) as 0 = -x + 3,thus x = 3

method( two)

see the intersection point of two lines

so the ans is B.(3 , 0)

6 0
3 years ago
How do you know that 8 over 10 and 48 over 60 are equivalent
beks73 [17]
8/10 and 48/60 are equivalent because you can see the 48/60 can divide by 8/10 is 6, you just have to see if the larger fraction can divide the smaller one.
3 0
4 years ago
Read 2 more answers
Please help!! Can not figure this out!
mihalych1998 [28]

Answer:

Linear equation is: C=16.5x+45

Activation fee change would cost him less.

Step-by-step explanation:

you have the right rate: 16.50.

and the right activation fee: 45.

If they increase the activation fee by 50%, it will be 22.5+45 which equals 67.5.

Increasing the slope (monthly charge) by 10% would mean 16.5*10% which is equal to 1.65. Add this to the original slope (because it is increasing), and you will see that the new slope would be 18.15.

The two new equations would be C=18.15x+45 & C=16.5x+67.5

Then, because x stands for months, we know that there are 24 months in two years.

Plug in 24 for x in both equations, and the costs (in respective order to which I put them in), will be $480.60, and $463.50. Therefore, the activation fee change would be better for Bernice :) (also you made a mistake and you multiplied the inflated activation fee by 24 instead of the rate).

6 0
4 years ago
josue bought 7 pounds of pretzels at a local wholesaler for $16.80. his friend ricardo bought 5 pounds of pretzels at the superm
Lostsunrise [7]

Answer:

Ricardo's reasoning is not correct

Step-by-step explanation:

Find who got the better deal by dividing the price by the number of pounds of pretzels:

16.80/7 = $2.40 a pound

12.75/5 = $2.55 a pound

So, Josue got the better deal because he only spent $2.40 a pound on the pretzels, while Ricardo spent $2.55 a pound.

Ricardo did not get the better deal, because he spent more per pound on the pretzels.

Ricardo's reasoning is not correct.

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3 years ago
What is the sum of 3/4 × 1/2 ?
Tatiana [17]
3/4 x 1/2 = 3/8

Hehehe
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4 years ago
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