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4 years ago

Find the real zeros of the trigonometric function on the interval 0 ≤ x < 2π

Mathematics

2 answers:

Luda [366]4 years ago

6 0

4cos2(x)−3=0

or
4cos2(x)=3

cos(x)= √3/2

π/6, 5π/6, 7π/6, 11π/6

Romashka-Z-Leto [24]4 years ago

5 0

F(x) = 4 [cos (x)]^2 - 3 = 0

4[cos(x)]^2 = 3

cos(x) = √3 / 2

That happens in the first and fourth quadrants, for the angles 30 degrees and 330 degrees.

Answer: x = 30 degrees and x = 330 degrees

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faltersainse [42]

Its D. -18 hope this helps :D

5 0

3 years ago

Differential Equations Problem

fgiga [73]

Answer:

$y=\frac{t^2e^{2t}}{3}+ce^{2t}$

Step-by-step explanation:

We have given differential equation $\frac{dy}{dt}-2y=t^2e^{2t}$

We know that linear differential equation is given by $\frac{dy}{dt}+Py=Q$

On comparing with standard equation P = -2 and Q= $t^2e^{2t}$

Now integrating factor $IF=e^{-Pdt}$

$IF=e^{-2dt}=e^{-2t}$

Now solution of differential equation is given by

$y\times IF=\int\ IF\times Q\ dt$

$y\times e^{-2t}=\int\ e^{-2t}\times t^2e^{2t}\ dt$

$y\times e^{-2t}=\frac{t^2}{3}+c$

$y=\frac{t^2e^{2t}}{3}+ce^{2t}$

7 0

4 years ago

Helpppp pleaseeeeeeeee :/

poizon [28]

Answer:

39%

Step-by-step explanation:

0.39 x 100%=39%

7 0

2 years ago

James just began a job as a nurse. He is given a starting salary of $66,640 per year. He is also told that his salary will incre

Keith_Richards [23]

Answer:

Find the slope by first creating two points in the form (years, salary)

(0, 66640) ; (8, 73400)

calculate the slope using the correct slope formula

m = (73400 - 66640)/(8 - 0) = 6760/8 = 845

7 0

3 years ago

3-ACT mathematical modeling: powering down answer act 1 and act 2 please

kipiarov [429]

Answer:

Step-by-step explanation:

sup

7 0

3 years ago