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3 years ago

What is sin 74° someone please help!!!!

Mathematics

2 answers:

GenaCL600 [577]3 years ago

8 0

Sin teta= opposite/hypotenus therefore its 24/25

Crank3 years ago

3 0

Answer:

24/25

Step-by-step explanation:

because of sinФ you use the opposite/hypotenuse to get 24/25

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(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13

jolli1 [7]

Answer:

$y(x)=3e^{5x}-2xe^{5x}$

Step-by-step explanation:

The given differential equation is $y''-10y'+25y=0$

The characteristics equation is given by

$r^2-10r+25=0$

Finding the values of r

$r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5$

We got a repeated roots. Hence, the solution of the differential equation is given by

$y(x)=c_1e^{5x}+c_2xe^{5x}...(i)$

On differentiating, we get

$y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)$

Apply the initial condition y (0)= 3 in equation (i)

$3=c_1e^{0}+0\\\\c_1=3$

Now, apply the initial condition y' (0)= 13 in equation (ii)

$13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2$

Therefore, the solution of the differential equation is

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3 years ago

In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students who do not have any siblings. What is th

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3 years ago

Write the equation for the inverse of the function y=Cos^-1(x-pi)

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we are given

$y=cos^{-1}(x-\pi)$

Since, we have to find inverse function

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Set y=f(x)

It is already there

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Switch x and y

$x=cos^{-1}(y-\pi)$

step-3: Solve for y

We can take cos on both sides

$cos(x)=cos(cos^{-1}(y-\pi))$

we can simplify it

$cos(x)=y-\pi$

now, we can solve for y

$cos(x)+\pi=y-\pi+\pi$

$cos(x)+\pi=y$

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3 years ago

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