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3 years ago

Please help ASAP will give brainliest

Mathematics

2 answers:

Wittaler [7]3 years ago

7 0

B and E
hope that helps

umka21 [38]3 years ago

4 0

Answer:

B and E

Step-by-step explanation:

Hope it helps

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Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

4 years ago

What is the range of the function f(x)=(x+4)²+5

hammer [34]

Answer:

$Range=\left \{y|y\geq 5\right \}$

Step-by-step explanation:

Since given the expression, this represents graphically a parabola with arms pointing up, and a vertical translation of its vertex 5 units up, then the range of the function must be all the y values such that they are greater or equal to 5. This is written as:

$Range=\left \{y|y\geq 5\right \}$

8 0

4 years ago

A −3=( a 1 ) 5 what is the value of a?

PtichkaEL [24]

Answer:

A= $\frac{-3}{4}$

Step-by-step explanation:

a−3=a1(5)

Step 1: Simplify both sides of the equation.

a−3=a1(5)

a+−3=5a

a−3=5a

Step 2: Subtract 5a from both sides.

a−3−5a=5a−5a

−4a−3=0

Step 3: Add 3 to both sides.

−4a−3+3=0+3

−4a=3

Step 4: Divide both sides by -4.

-4a/-4 = 3/-4

<h3>Your final answer is a=-3/4</h3>

4 0

3 years ago

If 3x + 2y= 14 and 5x + 3y = 12, then find the value of 5x- y.

Ksju [112]

I think the answer would be negative 124 NOT SURE

6 0

2 years ago

Work the following pricing problems for services rendered. (Round to hundredths.) Hourly rate, worker A = $15.00 Hourly rate, wo

svlad2 [7]

Hello there :-)

Total cost of job=retail price of goods+labor cost+overhead

Labor cost
15×2.5+8×1+5.25×(3÷4)
=49.44 this is labor cost

Overhead= labor cost×overhead rate
Overhead=49.44×0.75=37.08

Now find total cost of job
Total cost of job=125.50+49.44+37.08
=212.02....answer

Hope it helps

7 0

3 years ago