9514 1404 393
Answer:
c = -3; d = 5
Step-by-step explanation:
The function is differentiable if it is continuous and the derivative is continuous.
This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...
5(3^2) +c = 45 +c
From the right, the limit is ...
d(3^2) -3 = 9d -3
__
The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...
f'(x) = 10x
= 10(3) = 30
From the right, the limit is ...
f'(x) = 2dx
= 2d(3) = 6d
__
This gives us a pair of simultaneous equations in 'c' and 'd':
45 +c = 9d -3
6d = 30
The latter tells us d = 5. Then the former tells us ...
45 +c = 9(5) -3 ⇒ c = -3
The function is differentiable if c = -3 and d = 5.
_____
<em>Additional comment</em>
With these values, the function becomes ...

Answer:
DFC
Step-by-step explanation:
same angle just flipped
Answer:


Step-by-step explanation:
Given
Rectangle:
Length = 2 in
Width = 3 in
Scale Factor = 7
Solving (a):
The side lengths of the new scale is calculated as follows;
New Lengths = Old Lengths * Scale Factor



Solving (b): To go back to the original length
Given that the initial scale factor is 7;
The new scale factor is the reciprocal of the old factor;
Hence;
