Answer:
1 solution
Step-by-step explanation:
x^2 - 14x + 49 = 0
Factor the expression:
x - 7
------------------------
x | x^2 | - 7x |
- ------------------------
7 | - 7x | 49 |
------------------------
(x - 7)^2 = 0
x - 7 = 0
x = 7
Answer:
The answer is f−1(x)=1x13
Step-by-step explanation: hi
Answer:
(-2,-2) and (-7,1)
Step-by-step explanation:
I can't see i am trying
Answer:
1/3
Step-by-step explanation:
Number cube has 6 sides so a number greater than 4 is 5 and 6. Which is 2 times so 2/6 which can simplify to 1/3
<h2>9.</h2><h3>Given</h3>
<h3>Find</h3>
- linear approximation to the volume when the radius increases 0.4 cm
<h3>Solution</h3>
The equation for volume of a sphere is
... V = (4/3)π·r³
Differentiating gives
... dV = 4π·r²·dr
Filling in the given numbers gives
... change in volume ≈ 4π·(15 cm)²·(0.4 cm)
... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick
<h2>11.</h2><h3>Given</h3>
- an x by x by 2x cuboid with surface area 129.6 cm²
- rate of change of x is 0.01 cm/s
<h3>Find</h3>
<h3>Solution</h3>
The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².
The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is
... dV/dt = (d/dt)(2x³) = 6x²·dx/dt
We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...
... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)
... dV/dt = 0.7776 cm³/s
