Evaluate $\iint _ { S } f ( x , y , z ) d S$

question 3

Multiple Choice

Evaluate $\iint _ { S } f ( x , y , z ) d S$ .
$f ( x , y , z ) = 2 x + 2 y + 5 z ; S$ is the part of the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ between the planes $z = 1$ and $z = 2$ .

• A) \(70 \pi \sqrt { 2 }\)
• B) \(70 \sqrt { 2 }\)
• C) \(\frac { 70 } { 3 } \pi \sqrt { 2 }\)
• D) 0

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Real GDP

Gross Domestic Product adjusted for inflation, measuring the value of all goods and services produced by an economy in real terms.

Intermediate Goods

Products that are used as inputs in the production of other goods or services, not sold directly to end consumers.

Consumer Price Index

An index measuring the change in price of a standard basket of goods and services, reflecting the cost of living.

GDP Price Index

A measure that reflects the prices of all goods and services included in the Gross Domestic Product, indicating the overall level of inflation or deflation in the economy.