Set Up an Integral for the Length of the Curve $$x = y ^ { 2 } + 5 y , 0 \leq y \leq 5$$

question 200

Multiple Choice

Set up an integral for the length of the curve.
- $$x = y ^ { 2 } + 5 y , 0 \leq y \leq 5$$

• A) \(\int _ { 0 } ^ { 5 } \sqrt { 4 y ^ { 2 } + 10 y + 25 } d y\)
• B) \(\int _ { 0 } ^ { 5 } \sqrt { 4 y ^ { 2 } + 20 y + 26 } d y\)
• C) \(\int _ { 0 } ^ { 5 } \sqrt { 2 y + 6 } d y\)
• D) \(\int _ { 0 } ^ { 5 } \sqrt { 4 y ^ { 2 } + 26 } d y\)

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Definitions:

Bicarbonate Ion

Anion (HCO3−) remaining after the dissociation of carbonic acid.

Plasma

The liquid component of blood, in which blood cells and other particles are suspended, consisting mostly of water, proteins, and other solutes.

Concentration

The abundance of a constituent divided by the total volume of a mixture.

Osmolality

Osmotic concentration of a solution; the number of moles of solute in 1 kg of water times the number of particles into which the solute dissociates.