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OLga [1]
3 years ago
8

Arning Task 3: Solve the following. Do this in a separate sheet of paper.

Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

12 cm is your answer right answer

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Solve for x.<br>7x+ 3<br>3x + 35<br><br>x = [?]<br>​
Dafna11 [192]

Answer:

Step-by-step explanation:

7x + 3 = 3x + 35

4x + 3 = 35

4x = 32

x = 8

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Lim x--&gt; 0 (e^x(sinx)(tax))/x^2
Tom [10]

Make use of the known limit,

\displaystyle\lim_{x\to0}\frac{\sin x}x=1

We have

\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)

since \tan x=\dfrac{\sin x}{\cos x}, and the limit of a product is the same as the product of limits.

\dfrac{e^x}{\cos x} is continuous at x=0, and \dfrac{e^0}{\cos 0}=1. The remaining limit is also 1, since

\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1

so the overall limit is 1.

4 0
3 years ago
Try it<br> Solve the system of equations.<br> 2x + 3y = 1<br> 5x + 2 = 8<br> What is the solution?
Stella [2.4K]

Answer:

x=6/5 ,y= -7/15

Step-by-step explanation:

we are going to solve this simultaneously.

2x+3y=1.......(i)

and

5x+2=8

5x=6

x= 6/5 .......(ii)

Now let's put value of x into equation number (i)

2x+3y=1

2(6/5) +3y=1

12/5 +3y =1

3y= 1-(12/5)

3y = -7/5

y = (-7/5) ÷3

y= -7/15

3 0
3 years ago
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