Answer:
Step-by-step explanation:
1000m=1k
3,500m=3.5k
500m=.5k
75m=0.075k
1m=0.001
Answer:
140°
Step-by-step explanation:
<3 = 40 because they are vertical angles
<3 +<4 = 180 because they are same side interior angles
40 + <4 = 180
Subtract 40 from each side
40-40 + <4 = 180-40
<4 = 140
Answer:
The score is 66
Step-by-step explanation:
Say the unknown score is x
Average = Total score/no of occurrence
78 = (x + 76 + 74 + 76 + 80 + 83 + 91)/7
78 × 7 = x + 76 + 74 + 76 + 80 + 83 + 91
546 = x + 480
546 - 480 = x
66 = x
∴ x = 66
The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
