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
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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:
sorry whats the question
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
The given trigonometric equation is
.
We take the inverse cosine of both sides to get:

to the nearest degree
None of the options satisfies the given equation.
But if the question is actually;

Then;
.
.
.
.
Or
.
In this case the answer will be B
Answer:
5 meters
Step-by-step explanation:
because 100 meters divided by the base equals the Height so 100 divided by 20 = 5