Consider the function f(x)=sin(2x)-1 and g(x)= 2 cos^2(x), both with domain [0,phi]. the line x = p intersects the graph of f in point A and the graph of g in point B. calculate the value of p for which the length of segment AB is maximal. Thank you please kindly answer this question

Answers

Answer 1

Answer: I think the correct value of p is 2.9 when dealing with this question. Since AB is a vertical line between f(x) and g(x), you know you subtract the upper function by the lower function to find the distance between them. In other words you are tying to find the x value (which can also be thought of as p) that produces the greatest value when g(x) is subtracted from f(x). The reason why g(x) is subtracted by f(x) is that g(x) is above f(x) over the domain of 0 to pi.
I found p by making the function d(x)=g(x)-f(x). Then I took the derivative of d(x) and found when the derivative of d(x) equals 0 since that indicates a maximum or a minimum of the function d(x). their ended up being 2 points from 0 to pi where the derivative of d(x) equaled 0. one at 2.9 and the other at 1.34. The value at 1.34 is a minimum and therefore can't be the right answer. The value at 2.9 is a maximum and is therefore the correct answer.
By the way I did all of my work on a graphing calculator which makes these types of questions a lot easier since it makes it so that you don't have to do it by hand.
I hope this helps. Let me know if I got anything wrong in the comments so that I can try to fix it.

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What is the area, in square, of the rectangle?Sides 2 ---- 9 Top and bottom 3 ---- 7

4. A marathon is 42.195 km, how many miles is this

Answers

Answer:

26.2244 mi

Step-by-step explanation:

Step 1: Find conversion

1 mi = 1.609 km

Step 2: Use Dimensional Analysis

$42.195 \hspace{2} km (\frac{1 \hspace{2} mi}{1.609 \hspace{2} km} )$

26.2244 mi

42.195 km = 26.219 miles

What would 0.9 go with??
2/25
23/50
14/20
90%

Answers

0.9 will go with 90% so that the answer

0.9 is equal to 90% so thats your answer

The first three steps for solving the quadratic equation by completing the square are shown. Fill in the missing number in the last step.9x2 +54x = 7

9(x2 + 6x) = 7

9(x2 + 6x + 9) = 7 +.?

Answers

Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
9x2 +54x = 7

2. Make sure that the coefficient of the x^2 term is 1.
9(x2 + 6x) = 7

3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
9(x2 + 6x + 9) = 7 + 81

9(x+3)^2 = 88

Answer:

? = 81

Step-by-step explanation:

4NEVAEH Last Saved: 11:16 AM
A vase in the shape of a cylinder has a radius of 4.3 centimeters and a volume of 1330.2 cubic centimeters, as
shown in the diagram.
What is the height of the vase in centimeters? Round your answer to the nearest tenth.

Answers

Answer:

h = 22.91 cm

Step-by-step explanation:

Given that,

The volume of a vase, A = 1330.2 cm³

Radius of the vase, r = 4.3 cm

We need to find the height of the vase. The formula for the volume of a cylinder is given by :

$V=\pi r^2 h\n\nh=(V)/(\pi r^2)\n\nh=(1330.2 )/(3.14* (4.3)^2)\n\nh=22.91\ cm$

h = 23 cm

So, the height of the vase is equal to 23 cm.

What is the value of the expression below when x
6 and y = 10?
10x - 5y

Answers

Answer: 10

Step-by-step explanation: Because 10times X when X=6 is 60 then 5 times Y when Y=10 makes it 50 then subtract the two numbers

60-50=10

Final answer:

The value of the expression 10x - 5y when x = 6 and y = 10 is 10.

Explanation:

The expression given is 10x - 5y. We are asked to determine the value of this expression when x = 6 and y = 10. To do this, we replace x and y in the expression with these given values:

10*6 - 5*10 = 60 - 50 = 10

So, when x = 6 and y = 10, the value of the expression 10x - 5y is 10.

Learn more about Algebraic Expressions here:

brainly.com/question/34192827

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What is the first step when inscribing a square, equilateral triangle, or hexagon in a circle?Connect the endpoints of the diameters to form a square.

Draw an arc that intersects the circle at two points.

Draw a circle around a diameter.

Connect all six points on the circle.

Answers

The first step when inscribing a square, equilateral triangle, or hexagon in a circle is:

Draw a circle around a diameter.

The diameter is the line found in the center of the circle. So, the diameter is the line found between two equal semi-circle.

Answer:

C. Draw a circle around a diameter.

Step-by-step explanation:

The first step when inscribing a square, equilateral triangle, or hexagon in a circle - Draw a circle around a diameter.

Depending on various constructions, Step 2 here will be - Draw an arc that intersects the circle at two points.

Next will be - Connect the endpoints of the diameters to form a square or Connect all six points on the circle.

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