estimate the answer to each of the following multiplications by first rounding each number to
1significant figure.
the rounded calculations should resemble those you have already worked out in question 2.
a) 37x219
b) 8.7 x 54
c) 66.34x 25.84
d) 0.1672 x 985.5
e) 65x349
f) 840.7 x 0.0155
g) 503x850
h) 0.6199x74.51
1) 0.0488x272.07
estimate the answer to each of the following multiplications by first rounding each number to
1significant figure.
a) 24x18.4
b) 8.234x5.0123
c) 9642 x 237
d) 0.123x862
e) 0.734x 26.382
f) 1530.0432
estimate these by rounding the first number in the division to the nearest multiple of what you
are dividing by.
a) 16.3+2
b) 23.6+3
c) 43.2435+5
d) 30.98-4
e) 13.127-7
f) 79.5+9
54.89
25.625
43.532

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x,y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis

Which set of side lengths form a right side? a) 3ft,6ft,5ft b)50 in,48in,14in c)53m,48m,24m d)8cm,17cm,14cm

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?