Move down c units means minus 2 from whole function
f(x) moved down 2 units means f(x)-2
so
f(x)-2=2x²-8-2
f(x)-2=2x²-10
g(x)=2x²-10
Randy needs to purchase 1.49 Gallons of paint to cover 100 sq. feet wall.
What is the area of rectangle?
The area of a rectangle is the product of its length and width. That is, A = l x w where l is the length and w is the width of the rectangle.
Here, Required Paint = 
= 5 X 37 - 36
= 185 - 36
= 149
= 1.49 gallons
Thus, Randy needs to purchase 1.49 Gallons of paint to cover 100 sq. feet wall.
Learn more about Area of Rectangle from :
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Answer:
Step-by-step explanation:
formula for cylinder:V=πr2h
shape of the base: circle
formula for circle: A=πr2
radius: 6.5cm
height: 16cm
V=3.14x6.5^2x16
2122.64cm^3
Note: The first file attached contains the clear and complete question
Answer:
a) The times at which the graph of A(t) has horizontal tangent are t = 1 and t = 7
A(t) has a local maximum at t=7
A(t) has a local minimum at t=1
b) The times at which the graph of D(t) has horizontal tangent are t = 1.59 and t = 7.74
D(t) has a local maximum at t=1.59
D(t) has a local minimum at t=7.74
c) A(t) = (-t^3) + 8(t^2) -21t + 40
d) The water level in vat A is rising most rapidly at t = 4 hrs
e) 138 gallons
f) 18 gallons per hour
g) 98 gallons
Step-by-step explanation:
For clarity and easiness of expression, the calculations are handwritten and attached as files below.
Each step is neatly expressed and solutions to each part of the question are clearly written