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ipn [44]
3 years ago
13

Find the numerical value for W such that L'Hopital's Rule applies to the following limit, then compute value L of that limit.

Mathematics
1 answer:
amid [387]3 years ago
4 0
For L'Hopital's rule to apply 4x^2 - 27x + w = x - 9 = 0
x = 9
4(9)^2 - 27(9) + w = 0
4(81) - 243 + w = 0
81 + w = 0
w = -81

L = limx→9 (4x^2 - 27x -81)/(x - 9) = limx→9 (8x - 27) = 8(9) - 27 = 72 - 27 = 45.
L = 45
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If a circle has a diameter of 30 meters, which expression gives its area in
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Answer:

C. 15²π

General Formulas and Concepts:

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Order of Operations: BPEMDAS

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  2. Parenthesis
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  4. Multiplication
  5. Division
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<u>Geometry</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

d = 30 m

<u>Step 2: Find Area</u>

  1. Substitute [D]:                    30 m = 2r
  2. Isolate <em>r</em>:                             15 m = r
  3. Rewrite:                              r = 15 m
  4. Substitute [AC]:                 A = π(15 m)²
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3 years ago
PLEASE HELP ME!!! WILL MARK BRAINLIEST!!!
Lemur [1.5K]

Answer:

1. 32 and 64

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WILL MARK BRAINLIST
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2x +y = 20~~....(i)\\\\6x -5y = -4~~....(ii)\\\\\\\text{Multiply equation (i) by 3:}\\\\6x +3y = 60~~...(iii)\\\\(iii)-(ii):\\\\6x+3y - 6x+5y = 60-(-4)\\\\\implies 8y = 60+4 = 64\\\\\implies y = \dfrac{64}8\\\\\implies y = 8\\\\\\\text{Substitute y =8 in equation (i):}\\\\2x+8 =20\\\\\implies 2x = 20-8 = 12\\\\\implies x = \dfrac{12}2 = 6\\\\\text{Hence (x,y) = (6, 8)}

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