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GuDViN [60]
3 years ago
9

Elevation and depression? Someone help me please

Mathematics
1 answer:
Monica [59]3 years ago
4 0

5 x tan 66 = 7.140

your welcome :)

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2x^2+3x-2, a=0 How do I find the derivative?
Ghella [55]

You can use the definition:

\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h

Then if

f(x) = 2x^2+3x-2

we have

f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2

Then the derivative is

\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}

I'm guessing the second part of the question asks you to find the tangent line to <em>f(x)</em> at the point <em>a</em> = 0. The slope of the tangent line to this point is

f'(0) = 4(0) + 3 = 3

and when <em>a</em> = 0, we have <em>f(a)</em> = <em>f</em> (0) = -2, so the graph of <em>f(x)</em> passes through the point (0, -2).

Use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-2) = 3 (<em>x</em> - 0)

<em>y</em> + 2 = 3<em>x</em>

<em>y</em> = 3<em>x</em> - 2

5 0
3 years ago
The speed limit on a Highway is 70 miles per hour. Suppose you travel this highway at a constant speed of 70 miles per hour with
KIM [24]
Divide 350 by 70 and you would get 5. This means it would take you 5 hours if you travel at a constant speed of 70 mph and you traveled 350 miles.
8 0
3 years ago
Mrs. Adam measured the performance times of middle school orchestra 10 points
jenyasd209 [6]

Answer:

Un alambre de acero de 1.5 m se estira 2.0 mm con fuerza F. El diámetro del alambre de acero es 4.0 mm. El módulo de Young del acero es 2.0 x 1011 Nm-2. Determine la fuerza F aplicada sobre el alambre.

Step-by-step explanation:

4 0
3 years ago
Abby Mia wants to know how much must be deposited in her local bank today so that she will receive yearly payments of $18,000 fo
muminat
We are not given tables, so will just use the amortization formula.
P=\frac{A*((1+i)^n-1)}{i*(1+i)^n}
where 
P=amount to be deposited today, to be found
A=amount withdrawn each year=18000
i=Annual interest=9%
n=number of years = 20

Substituting values,
P=\frac{A*((1+i)^n-1)}{i*(1+i)^n}
=\frac{18000*((1+0.09)^{20}-1)}{0.09*(1+0.09)^{20}}
=164313.82   to the nearest cent
6 0
4 years ago
What is 97.6% as a decimal?
VARVARA [1.3K]
Your percentage of 97.6% as a decimal is 0.976
7 0
3 years ago
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