Answer:
D.
Step-by-step explanation:
Remember that the limit definition of a derivative at a point is:
Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:
Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).
The answer will thus be D.
Answer:
Jude is not correct
Step-by-step explanation:
The volume of a square pyramid is given as:
where a = base edge and h = height
Hence, the volume of the square pyramid with base edge of 7 in and height of 7 in is:
V = ≅
The volume of a cylinder is given as:
where r = radius and h = height
Hence, the volume of a cylinder with radius of 7 in and height of 7 in is:
V = ≅
Since their volumes are not equal, Jude is not correct.
Answer:
a = 9.4 cm
b = 12.0 cm
Step-by-step explanation:
Check the image uploaded for diagram;
For the first diagram, side length a is calculated as follows;
a² = 8² + 5²
a² = 64 + 25
a² = 89
a = √89
a = 9.4 cm ( approximated to 1 decimal place)
For the second diagram, side length b is calculated as follows;
b² = 17² - 12²
b² = 145
b = √145
b = 12.0 cm (approximated to 1 decimal place)
