Why is the location/direction of a vector important in analysis?

1 answer:

8 0

The direction of a vector is important because some directions are positive and some are negatvie so when you go and do calculations with the numbers you need to make sure you are you the right signs that are known with each direction. For example, if the direction of the vector is south, the value of that vector should be negative while if you go north then the value is positive. If you don't get these signs right then your answer will be very different from the correct answer.

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1).<br>A) supplementary<br>B) complementary<br>C) comesponding<br>D) alternate interior

zlopas [31]

If you are trying to find the bigger angle, then the answer is A) Supplementary. But if you’re trying to find the small angle the answer is B) Complementary. C and D are both wrong.

4 0

3 years ago

Use the equation m Subscript PQ Baseline equals StartFraction f left parenthesis x 1 plus h right parenthesis minus f left paren

babunello [35]

Answer:

m = 12

Step-by-step explanation:

For f(x) = 2x² you want to find the slope m using ...

m = (f(x+h) -f(x))/h

at x=3.

Filling in the function definition and its arguments, we have ...

m = (2(x+h)² -2x²)/h = (2x² +4hx +2h² -2x²)/h = 4x +2h

The value of this as h goes to zero is ...

m = 4x

At x=3, the slope is ...

m = 4·3 = 12

_____

The attached graph shows a numerical estimate of the slope (f'(3)=12) and the line with that slope through the point P(3, 18). The line certainly appears to be tangent to the curve at that point.