Answer:
Step-by-step explanation:
<u>Implicit Differentiation</u>
We use implicit differentiation when it's not possible to find an expression of y as a function of x, or the expression is very hard to differentiate.
The implicit differentiation takes the original equation and differentiates each term, usually applying the product, quotient, power, or other similar rules.
In the course of the differentiation, we'll use f' as the derivative of f.
We'll find y'=dy/dx in the following equation:
Differentiating:
The derivative of a constant is 0, thus:
The first term is a product of variables, so we apply the product rule:
The second term is the power of y. We apply the chain rule:
Operating:
Since x'=1:
Subtracting 3y:
Take y' as a common factor:
Solve for y':
Answer:
a) 13.277
Step-by-step explanation:
The chi-square critical value can be assessed using chi-square area table and for this table need value of alpha and degree of freedom.
The value of alpha is given which is 0.01 and degree of freedom can be calculated as
df=k-1
Where k represent the categories which are 5 in the given case.
df=5-1=4.
For alpha=0.01 and df=4, we get the chi-square critical value 13.277.
Answer:
Z = 110
Step-by-step explanation:
Since the figures are similar, the angles have to be equal
<A = <E
<B = <F
<C = <G
<D = <H
<D = 110 so angle <H = 110
Z = 110
So, we want to first make this into equation form.
Say n = the number.
4 less:
-4
Than half a number
1/2n - 4
Is equal to 37 less
1/2n - 4 = -37
Than twice the number
1/2n - 4 = 2n - 37
So, move all like terms to the same side:
1/2n - 2n = -37 + 4
-1 1/2n = -34
/-1 1/2 /- 1 1/2
n = 22 2/3