Y=6cosx^2 (derivative)


Answer 1
Answer: dy/dx = d/dx 6cosx^2
 = 12cosx d/dx cosx
 = 12cosx (-sinx)
 = -12cosxsinx

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A missile uses an internal computer clock to measure time in tenths of a second. The missile guidance system needs the time from launch, in seconds, in order to calculate its distance from the launch site. It obtains this by multiplying the computer clock time by 0.1. So, for example, a reading of 50 tenths of a second is 5 seconds. For one particular missile system, the conversion factor of 0.1 is stored in 8 bits as the binary number 0.000110012.The missile’s internal computer clock shows 200 tenths of a second. Convert this to seconds using your result from Part (i) of this question. Do not round your answer. The missile guidance system now records that it has travelled for this number of seconds.


Using proportions, it is found that the missile's internal computer clock is of 20 seconds.

  • According to the information given, this question can be solved by proportions, using a rule of three.

50 tenths of a second is equivalent to 5 seconds, and we want to find the equivalent to 200 tenths of a second, thus, the rule of three is:

50 tenths - 5 seconds

200 tenths - x seconds

Applying cross multiplication:

50x = 5(200)

50x = 1000

x = (1000)/(50)

x = 20

The missile's internal computer clock is of 20 seconds.

A similar problem is given at brainly.com/question/24372153

Which of the following graphs is a function?




Step-by-step explanation:

because of the line test

Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.O(-0.5, 1)

O (4,-2)





B. B = (4,-2)

Step-by-step explanation:

GIven that A = (-2, 2) and M = (1, 0), and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:

M = (1)/(2)\cdot A + (1)/(2)\cdot B

The location of B is now determined after algebraic handling:

(1)/(2)\cdot B = M - (1)/(2)\cdot A

B = 2\cdot M -A


B = 2\cdot (1,0)-(-2,2)

B = (2\cdot 1, 2\cdot 0)-(-2,2)

B = (2,0) -(-2,2)

B = (4,-2)

Which corresponds to option B.

The coordinate of point B will be (4, -2). Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A is located at (-2, 2), and point M is located at (1,0).

If point M is the midpoint of AB.

Then the location of point B will be

We know that the mid section formula

\rm (x, y) = \left ( (x_1+x_2)/(2), (y_1+y_2)/(2) \right)

Then the formula can be written as

x₂ = 2x - x₁ and y₂ = 2y - y₁

Then we have

x₂ = 2 × 1 + 2

x₂ = 4

y₂ = 2 × 0 - 2

y₂ = - 2

Then the coordinate of point B will be (4, -2).

Thus, the correct option is B.

More about the coordinate geometry link is given below.



When graphed, which function has a horizontal asymptote at 4? A. f(x)= 2(3^x)+4
B. f(x)=2x-4
C. f(x)=-3x+4
D f(x)= 3(2^x)-4



  A.  f(x)= 2(3^x)+4

Step-by-step explanation:

The linear equations of answer choices B and C will not have a horizontal asymptote. The exponential equation of choice D will have a horizontal asymptote at y=-4.

The appropriate choice is the exponential equation with 4 added:

  f(x) = 2(3^x)+4

Linda enrolls for 10 credit hours for each two semsters at a cost of $600 per credit hour. in addition textbooks $400 per semster.




Step-by-step explanation:

1. Assuming your question was how much is her cost the total cost should amount to $6800.

2. First you should multiply 10 by 600 to find out the cost for the credit hours

3. Next you take the cost of textbooks into factor, with each being 400 a semester you add them together to get $800

4. You add both costs together and get the final price of $6800 for both semesters of her education.

Final answer:

Linda's total cost for college for this academic year is calculated as $12,800, encompassing both tuition and textbooks. This is part of an observed trend in increasing higher education costs.


Cost of Tuition: Linda is paying $600 per credit hour for 20 credit hours (10 each semester), so $600 * 20 = $12,000 in total for tuition.

Cost of Textbooks: She is also spending $400 per semester for textbooks, so $400 * 2 = $800 in total for textbooks.

Total Cost: Thus, Linda's total cost for the academic year would be the sum of these two costs, i.e, $12,000 + $800 = $12,800. The costs of tuition, textbooks and other expenses are part of the rising trend of higher education costs. Despite this, the value of education still remains high, as it can lead to better job prospects and higher earning potential in the future.

Learn more about College Costs here:



Help me with this again please


The one on the bottom left.