Answer:
x ≈ 78.7° (in degree)
x ≈ 1.4 (in radians)
Step-by-step explanation:
Given in the question an equation
tan(x) = 5
x =
x = 78.69
x ≈ 78.7°
In radian:
x ≈ 1.4
Robin rides a personal watercraft 75° west of south at 70 miles/hour. the water current is moving 6 miles/hour at an angle of 75
2 answers:
Answer:
Actual speed = 73.18 m/s
Step-by-step explanation:
Let positive x axis represent east and positive y axis represent north.
Robin rides a personal watercraft 75° west of south at 70 miles/hour.
Velocity of personal watercraft = 70 miles/hour at 75° west of south
= 70 miles/hour at 15° south of west
= -70 cos 15 i + -70 sin 15 j
= -67.61 i - 18.12 j
The water current is moving 6 miles/hour at an angle of 75° south of west.
Velocity of water current = 6 miles/hour at 75° south of west
= 6 miles/hour at 75° south of west
= -6 cos 75 i + -6 sin 75 j
= -1.55 i - 5.80 j
Total velocity = -67.61 i - 18.12 j -1.55 i - 5.80 j = -69.16 i - 23.92 j
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By definition, the average change of rate is given by:
We will calculate AVR for each of the functions.
We have then:
f(x) = x^2 + 3x interval: [-2, 3]:
f(x) = 3x - 8 interval: [4, 5]:
f(x) = x^2 - 2x interval: [-3, 4]
f(x) = x^2 - 5 interval: [-1, 1]
Answer:
these functions from the greatest to the least value based on the average rate of change are:
f(x) = x^2 + 3x
f(x) = 3x - 8
f(x) = x^2 - 5
f(x) = x^2 - 2x
We will calculate AVR for each of the functions.
We have then:
f(x) = x^2 + 3x interval: [-2, 3]:
f(x) = 3x - 8 interval: [4, 5]:
f(x) = x^2 - 2x interval: [-3, 4]
f(x) = x^2 - 5 interval: [-1, 1]
Answer:
these functions from the greatest to the least value based on the average rate of change are:
f(x) = x^2 + 3x
f(x) = 3x - 8
f(x) = x^2 - 5
f(x) = x^2 - 2x