5.7
Pythagorean Theorem is a² + b² = c²
Answer:
a)
b)
Step-by-step explanation:
From the question we are told that
The Function

Generally the differentiation of function f(x) is mathematically solved as


Therefore

Generally critical point is given as



Generally the maximum and minimum x value for critical point is mathematically solved as

Where
Maximum value of x

Minimum value of x

Therefore interval of increase is mathematically given by


Therefore interval of decrease is mathematically given by

Generally the second differentiation of function f(x) is mathematically solved as

Generally the point of inflection is mathematically solved as


Therefore inflection points is given as


a)Generally the concave upward interval X is mathematically given as


b)Generally the concave downward interval Y is mathematically given as

Correct option C) 0.98%
<u>Step-by-step explanation:</u>
We know that , there are 2 black ace cards out of 52 cards in a deck & 13 hearts out of 52 cards . Here we have to tell What is the probability of drawing a black ace followed by a heart out of a deck when the cards aren't replaced . Let's find out:
Firstly , a black ace is drawn , so probability :
⇒ 
Now , A heart is drawn out of 51 cards ( as one black ace is already drawn !):
⇒ 
So , Probability of occurring both events is :
⇒ 
⇒ 
⇒ 
Percentage =
%
Therefore , Correct option C) 0.98%
Given a1 = 90
Common difference = adding
90 + 9 = 99, second term
99 + 9 = 108, third term
And keep doing that
You would get
90, 99, 108, 117, 126, 135