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2 years ago

Lesson. Derative of trigonometric functions

Mathematics

1 answer:

stiv31 [10]2 years ago

5 0

Answer:

Step-by-step explanation:

What are the Derivatives of the 6 Trig Functions?

Derivation of sin x: (sin x)' = cos x.

Derivative of cos x: (cos x)' = -sin x.

Derivative of tan x: (tan x)' = sec2 x.

Derivative of cot x: (cot x)' = -cosec2 x.

Derivative of sec x: (sec x)' = sec x. tan x.

Derivative of cosec x: (cosec x)' = -cosec x. cot x.

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A special deck of cards has ten cards. Four are green (G), four are blue (B), and two are red (R). When a card is picked, the co

a_sh-v [17]

Answer:

{GT, GH, BT, BH, RT, RH};

1 /5;

Mutually exclusive ;

Not mutually exclusive.

Step-by-step explanation:

Given :

Green cards, G = 4

Blue cards, B = 4

Red cards, R = 2

For a coin toss :

{H, T}

A card is picked, then a coin is tossed :

Sample space :

{GT, GH, BT, BH, RT, RH}

2.) probability of picking a green card, then probability of landing a head on a coin toss

P(A) = number of required outcome / Total possible outcomes

P(A) = P(green card) * P(Head)

P(A) = (4 / 10) * (1/2)

P(A) = 4 /20

P(A) = 1/5

C.)

Both A and B are mutually exclusive, since both event A and event B cannot occur together, since both red and green cannot be picked during a single pick, this either a red is picked or green is picked, then they are A and B are mutually exclusive.

D.) Event A and C are not mutually exclusive, picking a green card, event A and picking a red or blue card, event B. Both event can happen simultaneously, hence, event A and B are not mutually exclusive.

6 0

3 years ago

5х + 34 = -2 (1 - 7x) help me solve it step by step !

nataly862011 [7]

5x+34=-2(1-7x)

Steps:

5x+34=-2+14x
5x+34-14x= -2
-9x + 34= -2
-9x = -2-34
-9x = -36
X= -36/-9

Answer: x= 4

6 0

3 years ago

Mrs. Habib has 46.25 feet of border for a bulletin board for her classroom. the board is 37.5 feet tall and 8.3 feet wide. how m

Luba_88 [7]

Answer:

Mrs. Habib will have 22.25 feet of border left after she puts border around the board.

Step-by-step explanation:

You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is $P=2(l+w)$ , where $l=$ the length of the board, and $w=$ the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:

$P=2(8.25+3.75)$

Now you can just solve for the perimeter.

$P=2(12)$

$P=24$

The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.

$46.25-24=22.25$

Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.

7 0

3 years ago

Consider the function ƒ(x) = x2. Which of the following functions shifts ƒ(x) downward 5 units and to the right 3 units?

Sunny_sXe [5.5K]

The answer is 12.6 that’s the answer right there

5 0

3 years ago

What are the solutions to the quadratic equation 5x2 + 60x = 0?

Reptile [31]

Answer:

It's A.

Step-by-step explanation:

5x2 + 60x = 0

5x is the GCF so:

5x(x + 12 ) = 0

5x = 0, x + 12 = 0

x =0, x = -12.

6 0

3 years ago

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