You can use the Pythagorean theorem, a^2+b^2=c^2, to solve this.
b= square-root of (c^2)-(a^2)
b= square-root of (9^2)-(2^2)
b= 8.77.... which in the exact form is square root of 77.
2 kg. Each liter is equal to 1 kg
Answer:
Diapers costs $11 and formula is $13.
Step-by-step explanation:
Let's name diapers as A and formula as B.
Simply the equations:
1A + 2B = $37(1)
2A + 5B = $87(2)
Clear D from one equation.
A = $37 - 2B(1)
Replace D into the other equation.
2*($37 - 2B) + 5B = $87(2)
$74 - 4B + 5B = $87
$74 + B = $87
B = $87 - $74 = $13
Find A, now knowing B.
A = $37 - 2($13)
A = $37 - $26 = $11
Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
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(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)