3 years ago

What is the derivative of 3x^3 + 2

Mathematics

1 answer:

Gnesinka [82]3 years ago

7 0

The correct answer is 9x^2

Hope this helped :)

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Multiply. 2.5(-4) eeeeeeeeeeeeeeeeeeeeeeee

lidiya [134]

Answer:

x = 5/8 = 0.625

Step-by-step explanation:

8 0

2 years ago

the difference of two number is 28 if the larger number is three time of the smaller find the number

Elza [17]

Set up an equation:

3x - x = 28

Simplify:

2x = 28

Divide both sides by 2

X = 14

3(14) = 42

The numbers are 42 and 14

5 0

2 years ago

Find three ratios that are equivalent to 2 4. A. 8 16 B. 10 24 C. 4 8 D. 3 5 E. 6 12 F. 12 6

xenn [34]

Answer:

A, C, and E good luck

Step-by-step explanation:

3 0

2 years ago

Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

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2 years ago

one evening 1500 concert tickets were sold for the Jazz Fest. Tickets cost $30 for covered pavillion seats and $10 for lawn seat

snow_lady [41]

$x-number\ of\ tickets\ for\ pavilion\\1500-x-number\ of\ tickets\ for\ lawn\\\\30x+10(1500-x)=27000\\30x+15000-10x=27000\\30x-10x=27000-15000\\20x=12000\ \ \ \ \ \ \ \ |:20\\\\x=600\\1500-600=900$

6 0

2 years ago