The original area of a face would be a^2. Now that you added b to the edge, the new area of each face would be (a+b)^2. To find how much the are increased, subtract a^2 from (a+b)^2. So the answer is b(2a+b)
What is a valid card number for a MasterCard? A) 4224 1801 2345 6781
1 answer:
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Answer:
Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable
Step-by-step explanation:
We are given the Function
f(x) =
The two basic hypothesis of the mean valued theorem are
- The function should be continuous in [0,2]
- The function should be differentiable in (1,2)
upon checking the condition stated above on the given function
f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph
also the f(x) is differentiable in (0,2)
f'(x) = 6x - 2
Now the function satisfies both the conditions
so applying MVT
6x-2 = f(2) - f(0) / 2-0
6x-2 = 9 - 1 /2
6x-2 = 4
6x=6
x=1
so this is the tangent line for this given function.
Answer:
149.30ft
Step-by-step explanation:
Since the vertical distance between the two tower = 40ft
The angle of elevation from the lower tower to te higher tower = 15°
The horizontal distance between the two towers = x
Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.
Check attached document for better illustration of the triangle.
Tanθ = opposite / adjacent
Opposite = 40
θ = 15°
Adjacent = x
Tan15 = 40 / x
0.2679 = 40 / x
X = 40 / 0.2679
X = 149.30ft
The horizontal distance between the two towers is 149.30ft
