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mezya [45]
3 years ago
8

Solve c: P = a+b+c+d / 4

Mathematics
1 answer:
m_a_m_a [10]3 years ago
8 0

Answer:

  • as written: c = P - a - b - d/4
  • with parentheses: c = 4P - a - b - d

Step-by-step explanation:

The meaning of the given expression is ...

  P = a + b + c + (d/4)

To solve for c, subtract all the terms on the right side not containing c.

  P -(a + b + (d/4)) = c

  c = P - a - b - (d/4)

_____

In such equations, parentheses are commonly missing. If that is the case here, then first we undo the division by 4, then we subtract the "not c" terms.

  P = (a + b + c + d)/4 . . . . maybe what you meant

  4P = a + b + c + d . . . . . . multiply by 4

  4P - (a +b +d) = c

  c = 4P -a -b -d

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Find integrate (1/(xsqrt(1+(lnx)^2)),1,e,x) ...?
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<span>Next, complete the square. </span>

<span>x² + x + 3 = x² + x + 1/4 + 11/4 = (x + 1/2)² + (√(11)/2)² </span>

<span>Also, for the x in the numerator </span>

<span>x = x + 1/2 - 1/2. </span>

<span>So </span>

<span>(x² + 2x + 3)/(x² + x + 3) = 1 + (x + 1/2)/[(x + 1/2)² + (√(11)/2)²] - 1/2/[(x + 1/2)² + (√(11)/2)²]. </span>

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<span>= arctan(e^x) + C.</span>
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