MATHEMATICS COLLEGE

Find the Derivative.
f(x) = -xcos3x

Answers

Answer 1
Answer:

Answer:

(d)/(dx)(-xcos3x)= 3x \ sin(3x)- cos(3x)

Step-by-step explanation:

Use the Product Rule for derivatives, which states that:

  • (d)/(dx) =[f(x)g(x)]= f(x)g'(x)+f'(x)g(x)

In the function we are given, f(x)=-x \cos3x, we can break it up into two factors: -x is being multiplied by cos3x.

Now, we have the factors:

  • -x \n $cos 3x

Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.

  • (d)/(dx)(cos3x)= (d)/(dx) (cos3x) * (d)/(dx) (3x) \n (d)/(dx)(cos3x)= (-sin3x) * 3 \n (d)/(dx) (cos3x) = -3sin(3x)

Now let's apply the product rule to f(x) = -xcos3x.

  • (d)/(dx)(-xcos3x)= (-x)(-3sin3x) + (-1)(cos3x)

Simplify this equation.

  • (d)/(dx)(-xcos3x)= (x)(3sin3x) - (cos3x)

Multiply x and 3 together and remove the parentheses.

  • (d)/(dx)(-xcos3x)= 3x \ sin(3x)- cos(3x)

Therefore, this is the derivative of the function f(x)=-xcos3x.
Answer 2
Answer:

Hi there!

\large\boxed{f'(x) = -cos3x + 3xsin3x}

f(x) = -xcox3x\n\n\text{Use the product rule and chain rule to solve for the derivative:}\n\n(dy)/(dx)= -cos3x + (-x * (-sin3x) * 3)\n\n= -cos3x + 3xsin3x

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Answers

Answer:

Perimeter: 23.8 feet

Area: 24 square feet

Step-by-step explanation:

To find the perimeter, add the lengths of all of the sides.

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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.

Answers

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)

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

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

Which expression is equivalent to −30+(−40)+(−70) ?

Answers

Answer:

−30+(−40)+(−70) = -140

Step-by-step explanation:

−30+(−40)+(−70) = -140

Answer:

not what im looking for

Step-by-step explanation:

A barbecue restaurant gives 3 napkins for every 5 items ordered. if an order is for 30 items, how many napkins should be given? Use the double number line diagram to solve.​

Answers

Answer:

18 napkins

Step-by-step explanation:

If the restaurant gives 3 napkins for every 5 items ordered, and there's 30 items... you must divide 30 by 5 which is 6. Then, multiply 6 by 3. Therefore the answer is 18.

30 / 5 = 6

6 * 3 = 18

Hopethishelped:)

Answer:

18 napkins

Step-by-step explanation:

Helppp meeYou walk into a restaurant. In the room there are 10 people who are 21 years old , 3 people are 26 years old 7 people are 29 years old and 9 people who are 31 years old. 17 are men. how many people are in the restaurant.

Answers

There are 29 people in the restaurant. there are 12 Females there. (I know you didn't ask that but I thought you should know.

Hope this helped :D

Evaluate 8 − 12 ÷ 2 + 3. 1 −1 4 5

Answers

According to the order of operations, multiplication and division are performed before addition and subtraction.

... 8 - 12 ÷ 2 + 3

... = 8 - 6 + 3 . . . . . . 12÷2 = 6

... = 2 + 3 . . . . . . . . . 8-6 = 2

... = 5

Answer:-13

Step-by-step explanation:
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