Answer:
Option 1.1
Step-by-step explanation:
The linearization of a curve implies the use of calculus to find the local value for the derivative and approximating the function by the use of the formula
The function is given in such way that it's much easier to find the derivative by implicit differentiation than isolating any of the variables
Differentiating with respect to x, we have
Computing y' in the given point (3,1) we have
4(3)(1)+2(9)y'+y'=2
The function will be approximated with the expression
To find the approximate value for x=2.8
The correct value is the option 1.1
<u>Answer:</u>
96
<u>Step-by-step explanation:</u>
Let's assume that the marks needed in the next exam is 
. Then if the average becomes 90,
Now we can simply solve for :
⇒ 
⇒ 
[Multiplying both sides by 4]
⇒ 
[Subtracting 264 from both sides]
⇒ 
Therefore, you need to score 96 in your next exam to have an average of 90 on the four exams.
We have been given that on a coordinate plane a line with negative slope passes through points 
and 
. We are asked to find the rate of the change of the function.
We know that slope represents rate of change of function.
We will use slope formula to solve our given problem.
Let 
and 
.
Therefore, the rate of change of the given function is 
.
Answer:
10%
Step-by-step explanation:
The multiples of 2 are 2,4,6,8,10, and so on
The multiples of 5 are 5, 10, 15, 20 , 25, and so on
It is evident that the only one that matches up between 1-10 is 10.
There are 10 options, and our chances are random. There is only 1 option for it to be a multiple of both 2 and 5. Therefore, the probability is 1/10, or 10%
Answer:
C. But be careful. It depends if you have been told what I was having trouble with.
Step-by-step explanation:
The question is a little unclear. If the actual interest is constant for all situations, the answer is C. The more times you compound, the more interest you will accumulate. Banks don't do it that way. It they compound every three months, then they cut the interest rate by a quarter.
So the interest would look like (1 + 0.022/4)*principle. Whoever made the question has to make clear what is going on. My guess is the intended answer is C.
