The correct question is;
A particle is moving along the curve
y=√x. As the particle passes through the point (4, 2), its x-coordinate increases at a rate of 4 cm/s. How fast is the distance from the particle to the origin changing at this instant? (Round your answer to three decimal places.)
Answer:
dS/dt ≈ 4.025 cm/s
Step-by-step explanation:
Let the distance from the origin be S and thus, the formula for that is
S = √x² + y²
The given function is y =√x
Let's plug in the S function for y to get;
S = √x² + (√x)²
S = √(x² + x)
Now, let's find the derivative with respect to time;
So;
dS/dt= [(1/2)/√(x² + x)] (2x+1)dx/dt
Let's plug in the value of x = 4 and dX/dt as 4;
dS/dt= [[(1/2)/√(4² + 4)] x [((2(4)+1)]] x 4
dS/dt= [(36/4)/√5]
dS/dt = 9/√5
dS/dt = 4.025 cm/s
The answer is B. If 1 kilogram is 1,000 grams and mary needs 2 kilograms of potatoes she would multiply 2 by 1,000 equaling 2,000.
Answer: 1 dollar
Step-by-step explanation:If the original price is 2 dollars then the new price will be half of that
hope this helps mark me brainliest
Answer:
4 its 4
Step-by-step explanation:
The answer is 16 because (-2*-2*-2*-2= 16)
