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sweet-ann [11.9K]

2 years ago

7

yesterday the temperature was 1 degree farenheit. today the temperature is 0 degree farhenheit. what is the change in tempeature

from yesterday to today

1 answer:

vesna_86 [32]2 years ago

7 0

Answer:

It is one degrees colder

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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)

malfutka [58]

Answer:

The magnitude is $\Delta f(0,8) = 72$

The direction is $i$ i.e toward the x-axis

Step-by-step explanation:

From the question we are told that

The function is $f(x, y) = 9sin(xy) \ \ \$

The point considered is $(0,8 )$

Generally the maximum rate of change of f at the given point and the direction is mathematically represented as

$\Delta f(x,y) = [\frac{\delta f(x,y)}{\delta x } i + \frac{\delta f(x,y)}{\delta y } j ]$

$\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]$

$\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]$

At $(0,8 )$

$\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]$

$\Delta f (0,8) = 72 i$

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2 years ago

Madison arrived at work at 8:00 AM. She went out for lunch at 11:00 AM. She returned at 12:00 PM and worked until 4:00 PM. How m

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What does pq equal and how do I find it???

Kay [80]

Use trigonometry.

sinQ = 14/50 = 0.28
-> angle Q = sin^-1(0.28) = approx 16 degrees

-> cosQ = A/H -> cos16 = PQ/50

=> PQ = 50*cos16 = approx 48.06

So yea.

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2 years ago

garik1379 [7]

Given:

The radius of the cone = 14 ft

The slant height of the cone = 27 ft

To find the lateral surface area and the total surface area of the given cone.

Formula

The lateral surface area of the cone is

$LSA = \pi rl$ and

The total surface area of the cone is

$TSA = \pi r^{2} + \pi r l$

where,

r be the radius and

l be the slant height of the cone.

Now

Taking r = 14 and l = 27 we get

$LSA = \pi (14)(27)$ sq ft

or, $LSA = 1187.5$ sq ft

Again,

$TSA = \pi(14^2)+\pi (14)(27)$ sq ft

or, $TSA = 1803.3$ sq ft

Hence,

The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.

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Ms. Reynolds has a system of 10 sprinklers that water her entire lawn. The sprinklers run one at a time, and each runs for the s

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