Answer:
260
Step-by-step explanation:
5×20=100
So 13 × 20
because 5 percent of the collection is 13 so it is 260.
a) is conservative if it is the gradient field for some scalar function . This would require
Integrating both sides of the first equation with respect to yields
Differentiate with respect to :
Differentiate with respect to :
We want to be independent of and ; we can make them both disappear by picking .
b) This is the so-called triple product, which has the property
Computing the determinant is easy with a cofactor expansion along the first column:
c) Let
Compute the partial derivatives and evaluate them at :
Then the tangent plane to at (1, 1, 1) has equation
d) In polar coordinates, is the set
Then the integral evaluates to
e) By the chain rule,
Eliminating the parameter, we find
so that when .
Compute derivatives:
Then at the point (1, 1), the derivative we want is
Answer:
Step-by-step explanation:
So, on Monday, Tuesday, and Wednesday, he mowed:
yards, respectively.
To determine how many yards he mowed in the three days, simply add the three expressions. Thus:
Combine like terms:
Add or subtract:
And it cannot be simplified further :)