A differentiable function f has the property that f(5)=3 and fprime(5)=4. What is the estimate for f(4.8) using the local linear
1 answer:
You might be interested in
Answer:
ai) n(E⋂C) = ∅ = null
n(E⋂G) = 4
aii) see attachment
bi) n(C⋂G) = x = 1
bii) n(G) only = 3
Step-by-step explanation:
Let chemistry = C
Economic = E
Government = G
n(E) = 12
n(G) = 8
n(C) = 7
ai) number of pupils for economics and chemistry = 0
number of pupils for economics and government = 4
The set notation for both:
n(E⋂C) = ∅ = null
n(E⋂G) = 4
aii) find attached the Venn diagram
bi) n(C⋂G) = ?
Let number of n(C⋂G) = x
From the Venn diagram
n(C) only = 12-4 = 8
n(G) only = 8-(4+x) = 4-x
n(E) only = 7-x
n(E⋂C⋂G) = 0
n(E⋂C) = 0
n(E⋂G) = 4
Total: 8+ 4-x + 7-x + x + 0+0+4 = 22
23 -x = 22
23-22 = x
x = 1
n(C⋂G) = x = 1
Number of pupils that take both chemistry and government = 1
(bii) government only = n(G) only = 4-x
n(G) only = 4-1 = 3
Number of students that take government only = 3
Answer:
Step-by-step explanation:
A car traveled at a constant speed as shown in the graph.
Distance traveled is on the y-axis and duration of travel on the x-axis.
Point A(3.5, 210) shows,
Distance traveled = 210 miles
Time to travel = 3.5 hours
So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.
Slope of the line = speed of the car =
=
= 60 mph
Now we will find the speed of the car at another point B(1, 60).
If the speed of car is same as the point B as of point A, point B will lie on the graph.
Speed of the car at B(1, 60) =
=
= 60 mph
Hence, we can say that point B(1, 60) lies on the graph.