3 years ago

Solve the system using elimination: 5x+4y=12 3x-3y=18

Mathematics

1 answer:

Stels [109]3 years ago

8 0

I hope this helps you

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If f(x)=ln(sin(2x)), f''(π/4) is equal to

Licemer1 [7]

Use the chain rule to compute the second derivative:

$f(x)=\ln(\sin(2x))$

The first derivative is

$f'(x)=(\ln(\sin(2x)))'=\dfrac{(\sin(2x))'}{\sin(2x)}=\dfrac{\cos(2x)(2x)'}{\sin(2x)}=\dfrac{2\cos(2x)}{\sin(2x)}$

$f'(x)=2\cot(2x)$

Then the second derivative is

$f''(x)=(2\cot(2x))'=-2\csc^2(2x)(2x)'$

$f''(x)=-4\csc^2(2x)$

Then plug in π/4 for <em>x</em> :

$f''\left(\dfrac\pi4\right)=-4\csc^2\left(\dfrac{2\pi}4\right)=-4$

4 0

3 years ago

Write the zero of the polynomial p(x) = 5x + 2.

Nookie1986 [14]

Answer:

-2/5

Step-by-step explanation:

p(x) = 5x + 2

plug p(x) = 0

5x + 2 = 0

5x = - 2

x = - 2/5

6 0

3 years ago

Read 2 more answers

The sum of four consecutive integers is 174 write and solve an equation that can be used to determine the smallest of the four i

Elan Coil [88]

Answer:

Step-by-step explanation:

Let's say that the smallest is called "a"

We can re-write the question like this:

a+(a+1)+(a+2)+(a+3) = 174

4a+6=174

4a=168

a=42

6 0

3 years ago