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2 years ago

Solve and graph 2cos(2x) = x radians

Mathematics

1 answer:

AleksandrR [38]2 years ago

8 0

The solutions of the equation 2cos(2x) = x are (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)

<h3>How to solve the equation?</h3>

The equation is given as:

2cos(2x) = x

Split the equation as follows:

y = 2cos(2x)

y = x

Next, we plot the graph of y = 2cos(2x) and y = x (see attachment)

From the attached graph, y = 2cos(2x) and y = x intersect at the following points

(x, y) = (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)

Hence, the solutions of the equation 2cos(2x) = x are (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)

Read more about trigonometry equations at:

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8 0

1 year ago

Find all solutions of the equation. (enter your answers as a comma-separated list.) x2 + 5x + 9 = 0

erik [133]

X,=-(5±✓25-36) ,/ 2

x={-5±✓-11)/2

x= -5/2 ± i✓11/2

4 0

3 years ago

5 + 1 7/8 and explain answer

anzhelika [568]

Answer:

6 7/8

Step-by-step explanation:

To evaluate 5 + 1 7/8 we combine the integers 5 and 1 and to this sum add the fraction 7/8:

5 + 1 + 7/8 = 6 7/8 (six and seven eighths)

8 0

3 years ago

how to integrate <img src="https://tex.z-dn.net/?f=e%5E%7B2s%7D%20%2ACos%20%5Cfrac%7Bs%7D%7B4%7D" id="TexFormula1" title="e^{2s}

icang [17]

Answer:

$\int\limits {e^{2s} cos\frac{s}{4} ds$ = $\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))$

Step-by-step explanation:

Step(i):-

Given that $f(s) = e^{2s} cos\frac{s}{4}$

Now integrating

$\int\limits {f(s)} \, ds = \int\limits {e^{2s} cos\frac{s}{4} ds$

By using integration formula

$\int\limits { e^{ax} cos b x dx = \frac{e^{ax} }{a^{2}+b^{2} } ( a cos b x + b sin b x )$

Step(ii):-

$\int\limits {e^{2s} cos\frac{s}{4} ds$ = $\frac{e^{2s} }{(2)^{2}+(\frac{1}{4}) ^{2} } ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))$

= $\frac{e^{2s} }{(4+\frac{1}{16})} ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))$

= $\frac{e^{2s} }{(\frac{65}{16} } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))$

= $16 X\frac{e^{2s} }{65 } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))$

= $\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))$

Final answer:-

$\int\limits {e^{2s} cos\frac{s}{4} ds$ = $\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))$

6 0

3 years ago

A fruit punch recipe calls for 3/4 cup of pineapple juice and 1 1/2 cups of orange juice. I have 4 1/2 cups of pineapple juice a

givi [52]

Answer: If the recipe wants 3/4 cup of pineapple juice for every 6/4 cups of orange juice, 18/4 is 6x more than the recipe so 6/4 must be 6x larger too.

6 x 3/2 = 18/2 or 9 cups of orange juice. Hope this helps :) Please mark brainliest if you can ;)

6 0

3 years ago