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stira [4]
3 years ago
8

Which of the following best describes interval C on the graph shown?

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0

Answer:

Linear decreasing

Step-by-step explanation:

we know that

In the interval A we have a linear increasing function, because is a line and the slope is positive (as the value of x increases the value of y increases and as the value of x decreases the value of y decreases)

In the interval B we have a linear constant (the value of y is the same for all values of x)

In the interval C we have a linear decreasing function, because is a line and the slope is negative (as the value of x increases the value of y decreases and as the value of x decreases the value of y increases)

In the interval D we have a linear increasing function, because is a line and the slope is positive (as the value of x increases the value of y increases and as the value of x decreases the value of y decreases)

therefore

Interval C is a linear decreasing

Darya [45]3 years ago
6 0

Answer:

linear decreasing

i got it right on my exam lol

Step-by-step explanation:

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Find the derivative of the function at P 0 in the direction of A. ​f(x,y,z) = 3 e^x cos(yz)​, P0 (0, 0, 0), A = - i + 2 j + 3k
Alik [6]

The derivative of f(x,y,z) at a point p_0=(x_0,y_0,z_0) in the direction of a vector \vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k is

\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}

We have

f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k

and

\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}

Then the derivative at p_0 in the direction of \vec a is

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3 0
4 years ago
In ΔPQR, the measure of ∠R=90°, the measure of ∠P=26°, and PQ = 8.5 feet. Find the length of QR to the nearest tenth of a foot.
Vitek1552 [10]

Answer:

3.7feet

Step-by-step explanations

Using the sin rule

A/sin a = B/sin b

Let A = PQ = 8.5feet

B = QR = x feet

a = R = 90°

b = P = 26°

Substitute the values into the Sin rule

8.5/sin90 = x/sin26

8.5×sin 26 = x × sin 90

8.5×0.4383 = x× 1

3.7255 = x

Hence the length of QR to the nearest tenth 3.7feet

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3 years ago
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