There are (150 and 3/10) tenths in 15.03 .
Due to the symmetry of the paraboloid about the <em>z</em>-axis, you can treat this is a surface of revolution. Consider the curve , with , and revolve it about the <em>y</em>-axis. The area of the resulting surface is then
But perhaps you'd like the surface integral treatment. Parameterize the surface by
with and , where the third component follows from
Take the normal vector to the surface to be
The precise order of the partial derivatives doesn't matter, because we're ultimately interested in the magnitude of the cross product:
Then the area of the surface is
which reduces to the integral used in the surface-of-revolution setup.
Step-by-step explanation:
1. 2x - x + 7 = x +3 + 4
Collecting like terms;
2x - x - x = 3 + 4 - 7
2x = 0
x = 0
2. -2(x + 1) = -2x + 5
Expanding the bracket;
- 2x - 2= - 2x + 5
Collecting like terms;
- 2x + 2x = 5 + 2
0 = 7
It has no solution
3. 4x + 2x + 2 = 3x - 7
Collecting like terms;
4x + 2x + 3x = - 7 -2
9x = -9
x = -1
4. 4(2x + 1) = 5x + 3x + 9
Expanding the bracket
8x + 4 = 5x + 3x + 9
Collecting like terms
8x - 5x - 3x = 9 - 4
0 = 5
It has no solution
5. X + 2x + 7 = 3x - 7
Collecting like terms
x + 2x - 3x = - 7 - 7
0 = - 14
It has no solution
Answer:
Carpenters can install about 123 hinges.
Step-by-step explanation:
Since each hinge requires 3 screws. Divide 371 by 3.
= 123.666667
The midpoint lines are half the opposite side length.
Line DE is given as 7 , So Line F = 7 x 2 = 14
Line EF is given as 12, so Line D = 12 x 2 = 24
Line DF is given as 16, so line E = 16 x 2 = 32
The perimeter is the sum of the 3 sides:
Perimeter = 14 + 24 + 32 = 70