The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
Translated how?
Step-by-step explanation:
Answer: 75ml
Step-by-step explanation:
The volume of a rectangular prism is:
= Length × width × height
where,
Volume = 22500ml³
Length = Unknown
Width = 50ml
Height = 6ml
We then slot the values into the formula.
Volume = Length × width × height
22500 = Length × 50 × 6
22500 = Length × 300
Length = 22500/300
Length = 75ml
The length of the cellular phone is 75ml.
4.6 Is the answer I thinkkkkk