Jennifer is 20 miles north of her house, and she is driving north on the highway at a rate of 55 miles per hour whats the slpoe

Mathematics

1 answer:

LenaWriter [7]3 years ago

3 0

Answer:

The slope is 55.

Step-by-step explanation:

Slope determines the direction and the rate of increase or decrease between the two points on a surface or line.

In the question, it is given initially she is 20 miles north of her house

⇒ When x = 0 the y-coordinate is 20

So, the y-intercept is 20

Now, it is given that the rate of change is 55 miles per hour

Hence, the slope is same as 55 because it is the actual rate of change between the positions of Jennifer with time.

Hence, The slope is 55.

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Find the volume of the region bounded above by the paraboloid z equals 3 x squared plus y squared and below by the square R: min

RideAnS [48]

Answer:

V=5.333cubit unit

Step-by-step explanation:

this problem question, we are required to evaluate the volume of the region bounded by the paraboloid z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1

The question can be interpreted as z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1 and we are told to evaluate the volume of the region bounded by the given paraboloid z

The volume V of integral evaluated along the limits of x and y for the 2-D figure, can be evaluated using the expression below

V = ∫∫ f(x, y) dx dy then we can now substitute and integrate accordingly.

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION: