In mathematical analysis, Clairaut's equation is a differential equation of the form where f is continuously differentiable. It is a particular case of the Lagrange differential equation
Answer: The quotient is (2x+1)
Step-by-step explanation:
Here, the dividend = 
Divisor = 
By the long division method for finding the quotient we will follow the following steps,
Steps 1 : Write dividend inside the division sign and divisor outside the division sign,
Step 2: Multiply the divisor by 2x and subtract the result by the dividend,
Step 3: Now, again multiply the divisor by 1,
Step 4: Subtract the result by the remaining dividend,
Since, further division is not possible,
Hence, the sum of all terms that are multiplied = 2x+1
Which is our quotient.
Answer:
The values of x which would give an area of 240m² would be:

Step-by-step explanation:
Given
The base of triangle b = 2x+1
The height of triangle h = 6x-3
The Area of the triangle A = 240 m²
The Area of the triangle has the formula
A = 1/2 × b × h
substituting b = 2x+1, h = 6x-3 and A = 240



Subtract 480 from both sides




Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)

solving


Divide both sides by 2


also solving


Divide both sides by 2


Therefore, the values of x which would give an area of 240m² would be:

23 since the pattern rules is that we subtract by 3 each time
Answer: A, arithmetic
Step-by-step explanation:
An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.