Given:
The equation is
To find:
The properties which is not used from the given options.
Solution:
We have,
Using Multiplication Property of Equality, multiply both sides by 2.
(Distributive Property)
Using Subtraction Property of Equality, subtract 6n from both sides.
From the given options only one property is not used, i.e., Zero Product Property.
Therefore, the correct option is D.
Answer:
(a). y'(1)=0 and y'(2) = 3
(b).
(c).
Step-by-step explanation:
(a). Let the curve is,
So the stationary point or the critical point of the differential function of a single real variable , f(x) is the value which lies in the domain of f where the derivative is 0.
Therefore, y'(1)=0
Also given that the derivative of the function y(t) is 3 at t = 2.
Therefore, y'(2) = 3.
(b).
Given function,
Differentiating the above equation with respect to x, we get
Applying chain rule,
(c).
Finding the exact values of k and b.
As per the above parts in (a) and (b), the initial conditions are
y'(1) = 0 and y'(2) = 3
And the equations were
Now putting the initial conditions in the equation y'(1)=0
2kbcos(b) = 0
cos b = 0 (Since, k and b cannot be zero)
And
y'(2) = 3