Answer:1=d 2=d 3=a 4=a 5=c 6=b 7=b
Step-by-step explanation:
The movement of the particle on the circle is its displacement.
The value of dy/dt at this time is -9/2.
<h3>What is the differentiation?</h3>
Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables.
A particle moves on the circle x^2 + y^2=25 in the XY-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=6.
The equation of the circle is given as:

Differentiate with respect to time

Substitute all the values in the equation

Hence, the value of dy/dt at this time is -9/2.
Learn more about differentiation here;
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Clearly

corresponds to a point on the fourth "circle" in the plane.

is a rotation of 120 degrees counter-clockwise relative to the positive side of the horizontal axis, which corresponds to a clockwise turn of 360 - 120 = 240 degrees.
This means (C) is the answer.
Answer:
Step-by-step explanation:
According to the given question, a tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obtained by all tires of this new type is normally distributed with a mean of 37,000 miles and a standard deviation of 3,887 miles.
Let us define X be the random variable shows that the mileages tires normally distributed with
mean
μ = 37000
standard deviation
σ
=3, 887
Therefore
X ~ (μ = 37000, σ =3,887)
The company wishes to offer a guarantee providing a discount on a new set of tires if the original tires purchased do not exceed the mileage stated in the guarantee. Therefore the guaranteed mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage is determined as:
P(X < k) = 0.02

From the standard normal curve 2% area is determined as -2.0537 and hence
If we consider z value at two decimal places then

Therefore the guaranteed 29032 mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage.
The area under the standard normal curve is determined as: