Can you upload a picture please
Given: 3y cos x = x² + y²
Define
Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
y' [3 cos(x) - 2y] = 2x + 3y sinx)
Answer:
A) 4 (3x+2)-2
12x+8-2
12x+6
2x+1 simplified expression
The sum of two numbers
x + y = 21
x = smaller number
y = larger number
Larger Number = y = (2x -6)
Substitute (2x - 6) for y
x + y = 21
x + (2x - 6) = 21
3x - 6 = 21
3x = 21 + 6
3x = 27
3x / 3 = 27 / 3
x = 9
Smaller number = x = 9
Find the larger number by inserting 9 into (2x - 6)
(2x - 6)
(2(9) - 6)
18 - 6
12
So
x = 9
y =12
Check our answer by inserting x = 9 and y = 12 into x + y = 21
x + y =21
9 + 12 = 21
21 = 21
So since we have 21 = 21 we know our answer is correct.
9514 1404 393
Answer:
(5, 1) or maybe (h, k)
Step-by-step explanation:
The given form has no letters other than the variable. The vertex in this vertex-form equation can be read from the expression as (5, 1).
In the generic vertex form ...
f(x) = a(x -h)² +k
the letters (h, k) are used to represent the vertex.
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You would need to consult your curriculum materials to see what letters your author uses for the vertex in vertex form.
