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Sophie [7]
3 years ago
5

50 POINTS!!! PLEASE SOLVE WITH STEPS. THANK YOU!

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Step-by-step explanation:

G(x) = (16x − 7) cos³(4x) − 9 sin⁻¹(x)

A) Use product rule, power rule, and chain rule to take the derivative.

G'(x) = (16x − 7) (3 cos²(4x) (-4 sin(4x))) + 16 cos³(4x) − 9 / √(1 − x²)

G'(x) = (-192x + 84) cos²(4x) sin(4x) + 16 cos³(4x) − 9 / √(1 − x²)

Evaluate at x = 0.

G'(0) = (0 + 84) cos²(0) sin(0) + 16 cos³(0) − 9 / √(1 − 0)

G'(0) = 16 − 9

G'(0) = 7

B) Use point-slope form of a line to write the equation.

y − (-7) = 7 (x − 0)

y + 7 = 7x

y = 7x − 7

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X values:−10,−3-, 4, 11
Alex Ar [27]

Answer:

It is neither linear nor exponential.

Step-by-step explanation:

x values: −10,−3, 4, 11

y values: 1, 6, 30, 120

Slope = rate of change

m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{6-1}{-3+10}\\m=\frac{5}{7}

\\m = \frac{y_3-y_2}{x_3-x_2}\\m = \frac{30-6}{4+3}\\m=\frac{24}{7}

Since rate of change is not constant . So, It is not linear

If the average rate of change is constant, then the function is linear.

If the ratio of consecutive outputs is constant, then the function is exponential.

So, \frac{y_2}{y_1}=\frac{6}{1}=5\\\frac{y_3}{y_2}=\frac{30}{6}=6\\\frac{y_4}{y_3}=\frac{120}{30}=4

Since the ratio of consecutive outputs is not constant.

So, It is not exponential

Hence it is neither linear nor exponential.

7 0
3 years ago
15 Points! Giving Brainliest
NARA [144]

Answer: A≈153.94

3.14 x 7 = 153.94

8 0
3 years ago
What is the x-intercept of the line with this equation −5x+1/5y=15 ?
bulgar [2K]

9

Step-by-step explanation:

I don't no but 5 and 1 is 6 so add 9 more and you have 15

6 0
3 years ago
Can anybody help me with this please. Thanks​
kozerog [31]

9514 1404 393

Answer:

  x° ≈ 50.0°

Step-by-step explanation:

The sides adjacent and opposite the angle are given. The appropriate trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 50/42

The inverse function is used to find the angle whose tangent is a particular value:

  x° = arctan(50/42) ≈ 49.9697°

  x° ≈ 50.0°

3 0
2 years ago
Find the slope of a line parallel to 2x-y=18
True [87]

Answer:

The slope of line parallel to 2x-y = 18 will be 2.

Step-by-step explanation:

Given  

The equation of a line : 2x – y = 18

The standard form of an equation of a line in slope-intercept form is:

y=mx+c

So, we will have to convert the given equation in the standard form.

2x-y=18

-y=-2x+18

-y= -(2x-18)

y=2x-18

The coefficient of x in this form is the slope of the line.

So,

m_1=2

We know that slopes of two parallel lines are equal so if the given line has slope 2, all the lines parallel to this line have slope 2..

7 0
3 years ago
Read 2 more answers
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