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3 years ago

Find the derivative of the following functions:

Mathematics

1 answer:

DerKrebs [107]3 years ago

3 0

I will only do the first-three. You can repost number 4.

Question 1

f(x) = -x^2 + 10x + 4

dy/dx = -2x + 10

Question 2

f(x) = 20 - x + 2

dy/dx = -1

Question 3

f(x) = ex^4 - 2x^2

dy/dx = e•4x^3 + x^4 - 4x

dy/dx = 4ex^3 + x^4 - 4x

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Where is the outlier in this graph? A.) at 1 B.) at 6 C.) at 5 D.) at 11

geniusboy [140]

Answer:

d. 11

Step-by-step explanation:

The outlier is D. 11 because it is the furthest amount from any other set.

7 0

3 years ago

1. If you flip a fair coin 10 times, what is the probability of

Angelina_Jolie [31]

1. Getting either all heads or all tails is a 1/1024 chance
2. Rolling a pair of dice and getting a sum of one has a chance of 0
3. Rolling a sum of 5 has a 2 in 21 chance
4. Rolling a sum of 12 has a 1 in 21 chance

5 0

3 years ago

Help I’m not sure how to answer this

Drupady [299]

Answer:

option A is the correct choice

Step-by-step explanation:

The trigonometric equation you are using has a general form

y = A* tan w*(x - r)

Where

A is the amplitude of the function

w is the frequency rad/s

r is the phase shift

In your case

A = 2

B = w = 3

r = pi/2

y = 2* tan 3*(x - pi/2)

8 0

3 years ago

The areas of two similar octagons are 4 m² and 9 m². What is the scale factor of their side lengths? PLZ PLZ HELP PLZ

Sergeu [11.5K]

Answer:

2 :3

Step-by-step explanation:

To take the scale factor from the area to length we take the square root of each

sqrt(4) : sqrt(9)

2 :3

5 0

3 years ago

Simplify cosx ( tanx+cotx)

Soloha48 [4]

The first step to solving this is to use tan(t) = $\frac{sin(t)}{cos(t)}$ to transform this expression.
cos(x) × $( \frac{sin(x)}{cos(x)} + cot(x) )$
Using cot(t) = $\frac{cos(x)}{sin(x)}$ ,, transform the expression again.
cos(x) × $( \frac{sin(x)}{cos(x)} + \frac{cos(x)}{sin(x)} )$
Next you need to write all numerators above the least common denominator (cos(x)sin(x)).
cos(x) × $\frac{sin(x)^{2} + cos(x)^{2} }{cos(x)sin(x)}$
Using sin(t)² + cos(t)² = 1,, simplify the expression.
cos(x) × $\frac{1}{cos(x)sin(x)}$
Reduce the expression with cos(x).
$\frac{1}{sin(x)}$
Lastly,, use $\frac{1}{sin(t)}$ = csc(t) to transform the expression and find your final answer.
csc(x)
This means that the final answer to this expression is csc(x).
Let me know if you have any further questions.
:)

4 0

3 years ago