Amelia is ordering a balloon bouquet. She can choose any combination of 10-inch balloons and 8-inch balloons for her bouquet, an
1 answer:
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Answer:
10
Step-by-step explanation:
Determinant = ad - bc
Let . The tangent plane to the surface at (0, 0, 8) is
The gradient is
so the tangent plane's equation is
The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by , then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation
or ,
, and
.
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
Answer:
The population of the town in the year 1962 will be 1730.
Step-by-step explanation:
The population of Smallville can be found by the equation , where P(t) is the population at time t, r represents the rate of growth, and I is the initial population.
Now, if there are 225 residents in 1950 and the population of the town grows at a rate of 17% per year, then the population of the town in the year 1962 will be (Approximate)