One equation in a linear system of two equations is 3x - 2y = 8. the system has an infinite number of solutions. which could be
1 answer:
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Answer:
Area = 9π sq. m.
Step-by-step explanation:
C = πd
6π = πd
d = 6
r = 3
A = π = π
= 9π sq. m.
Answer:
and a₁ =30000 for n = 2,3,4,5,6, ......
Step-by-step explanation:
Doug has joined a job with a starting salary of $30000 per year.
Hence, if a₁ is the salary of Doug in the first year, then
a₁ =30000
Now, each year Doug will receive a raise of $3000 in his salary.
Hence, in the 2nd year, his salary(a₂) will become ( a₁ +3000) per year.
Again, in the 3rd year, his salary(a₃) will become ( a₂ +3000) per year.
Therefor, in the similar manner the recursive formula for his salary in each year will be given as and a₁ =30000 for n = 2,3,4,5,6, ...... {aₙ is the yearly salary of Doug in the nth year} (Answer)
Answer:
Step-by-step explanation:
Given the equation 4x²+ 49y² = 196
a) Differentiating implicitly with respect to y, we have;
b) To solve the equation explicitly for y and differentiate to get dy/dx in terms of x,
First let is make y the subject of the formula from the equation;
If 4x²+ 49y² = 196
49y² = 196 - 4x²
Differentiating y with respect to x using the chain rule;
Let
c) From the solution of the implicit differentiation in (a)
Substituting into the equation to confirm the answer of (b) can be shown as follows
This shows that the answer in a and b are consistent.