By applying the rule -(-a)=a we get
2.37-(-1.55)-2.48=2.37+1.55-2.48=1.44

Question

asked 2020-11-27

Obtain the volume of the solid which is bounded by a circular paraboloid \(\displaystyle{z}={x}^{{2}}+{y}^{{2}}\), cylinder \(\displaystyle{x}^{{2}}+{y}^{{2}}={4}\), and Coordinate plane. And the solid is in the \(\displaystyle{\left({x}\ge{0},{y}\ge{0},{z}\ge{0}\right)}\).

asked 2021-02-24

Find the average value of F(x, y, z) over the given region. F(x, y, z) = x2 + 9 over the cube in the first octant bounded by the coordinate planes and the planes x = 2, y = 2, and z =2.

asked 2021-02-24

Write inequalities to describe the sets The solid cube in the first octant bounded by the coordinate planes
and the planes x = 2, y = 2, and z = 2

asked 2021-03-09

explain how you can tell from the form of the equation \(\displaystyle\frac{{1}}{{2}}{z}^{{2}}=-{3}\) that it has no solution.

asked 2021-03-09

Provide an example of open intervals (a1, b1), (a2, b2), : : : , (an, bn), : : : such that intersection of (n=1 to n=infinity) (an, bn) = [0, 1).

asked 2021-02-25

a,b,x,y, are negative numbers

\(\displaystyle{a}^{{5}}+{b}^{{5}}\le{1}\)

\(\displaystyle{x}^{{5}}+{y}^{{5}}\le{1}\)

prove that \(\displaystyle{a}^{{2}}{x}^{{3}}+{b}^{{2}}{y}^{{3}}\le{1}\)

\(\displaystyle{a}^{{5}}+{b}^{{5}}\le{1}\)

\(\displaystyle{x}^{{5}}+{y}^{{5}}\le{1}\)

prove that \(\displaystyle{a}^{{2}}{x}^{{3}}+{b}^{{2}}{y}^{{3}}\le{1}\)

asked 2021-01-31

Let a, b and c be a real numbers such that a>0, b<0 and c<0. Find the sign of each expression.

a) -b

b) a+c

c) c-a

d) \(ab^2\)

a) -b

b) a+c

c) c-a

d) \(ab^2\)

asked 2021-03-09

State true or false -3 > -13

asked 2020-11-06

Find the negation of the following statement:

"There exists a negative real number z such that -3

"There exists a negative real number z such that -3

asked 2020-11-07

Show that the least upper bound of a set of negative numbers cannot be positive.