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aliya0001 [1]
3 years ago
14

Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.)

Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0
F'(x) is the derivative of f(x). the y value of derivative is the same value as the slope of f(x) at whatever point your looking at so at x=1 the tangent line of f(x) will be horizontal (or zero) so f'(x)=0
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I need help.please ​
DedPeter [7]

Answer:

1. cos = adjacent / hypotenuse

tan = opposite / adjacent

sin = opposite / hypotenuse

2. cos = adjacent / hypotenuse

cos(G) = 429/821 = 0.5225 ≈ 0.523

tan = opposite / adjacent

tan(G) = 700/429 = 1.6317 ≈ 1.632

sin = opposite / hypotenuse

sin(G) = 700/821 = 0.8526 ≈ 0.853

3. Part A:

sin(G) = opp / hyp = 420/427 = 0.9836 ≈ 0.984

Part B:

tan(Z) = opp / adj = 77 / 420 = 0.1833 ≈ 0.183

Part C:

cos(Z) = adj / hyp = 420 / 427 = 0.9836 ≈ 0.984

Part D:

sin(M) = opp / hyp = 427 / 427 = 1

Part E:

The sine value of any right angle is 1. The opposite side to the right angle is the hypotenuse.

Explanation:

1. Use "SohCahToa" to remember the equations.

S = o/h         C = a/h       T = o/a

"o" for opposite; "h" for hypotenuse; "a" for adjacent

"S" is sine; "C" is cosine; "T" is tangent.

2. Use the formulas for sin, cos and tan. Substitute the numbers for each side into the equations.

Since the values depend on ∠G, ∠G determines which side is opposite or adjacent. The adjacent side touches ∠G but the opposite side does not. The hypotenuse is the longest side.

3. Use the sin, cos and tan formulas from question 1. Which side is called opposite or adjacent depends on which angle (G, Z or M).

5 0
3 years ago
Simplify each expression.
Vlad [161]

Answer:

The answer is:

32x+12y

Step-by-step explanation:

Because 4 times 8 =32 and 4 times 3 =12

5 0
3 years ago
1. The temperature was 80 ℉ in Arizona and then fell 20 ℉ during the night.
notsponge [240]

Answer:

1. 60 F 2. -6 F

Step-by-step explanation:

simple math

8 0
3 years ago
Luke is making pancakes. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. He has 3/8 quart of milk and 18/8 cups of
cupoosta [38]
<span>3/8 ÷ 0.5 = 3/4 
2.5 ÷ 18/8 = 2/5 

Since 3/4 > 2/5, he has too much milk. He'll get runny pancakes.Hope this helps! =)</span>
3 0
3 years ago
Of the 20 flash bulbs in a box, 2 are defective. an inspector will select 2 light bulbs simultaneously and at random from the bo
Shkiper50 [21]

|\Omega|=C(20,2)=\dfrac{20!}{2!18!}=\dfrac{19\cdot20}{2}=190\\&#10;|A|=C(18,2)=\dfrac{18!}{2!16!}=\dfrac{17\cdot18}{2}=153\\\\&#10;P(A)=\dfrac{153}{190}\approx81\%

4 0
3 years ago
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