That's again the derivative at 2, so the answer is A. 4. Hard way:
f(x)=x²
f(2)=4
f(2+h) = (2+h)² = 4 + 4h + h²
f(2+h) - f(2) = 4h + h²
(f(2+h)-f(2))/h = 4 + h
Limit is 4.
Answer: A. 4
Answer:
45 sq. units
Step-by-step explanation:
We can draw a segment from F to S, splitting this figure into a rectangle and a triangle.
The area of a rectangle is given by the formula A=lw, where l is the length and w is the width.
The width of this figure is the distance of FW; this is 2. The length of this figure is the distance of WC; this is 9. This makes the area of the rectangle A=2(9) = 18 sq. units.
The area of a triangle is given by the formula A=1/2(b)(h), where b is the base and h is the height.
The base of the triangle is given by the distance of FS; this is 9. The height of the triangle is given from N to segment FS; this is 6. This makes the area of the triangle A=1/2(6)(9) = 27 sq. units.
This makes the total area 18+27 = 45 sq. units.
Answer:
f(x) + k
Explanation:
Vertical shift is represented by adding/subtracting a constant from the original given equation.
If the constant added is +ve, this means that the curve is vertically shifted upwards
If the constant added is -ve, this means that the curve is vertically shifted downwards.
Now, for the given, we have the original function f(x) and the constant k, therefore, to shift the graph vertically, the new function would be f(x)+k
We have:
f(x) = x² and k = -3
This means that the new function would be:
x² - 3
Since the constant is -ve, we can conclude that the curve is shifted vertically downwards by 3 units
Hope this helps :)
Total surface area equals area of 5 rectangular faces + 2 pentagonal faces
Area of 5 rectangular faces
Area of 2 pentagonal faces can be found by drawing 5 isosceles triangles with height as shown in the diagram and multiply the result by 2.
The toatal surface area is
The correct answer is A
Since 4x/5 is the reciprocal of 1/20, that means that 4x/5 = 20/1, or 20. Using this info, we can form the equation 
. From there we can solve for x.
Firstly, multiply both sides by 5: 
Next, divide both sides by 4 and your answer will be 
