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3 years ago

Identify which of the sequences below is a geometric sequence.

Mathematics

1 answer:

Brums [2.3K]3 years ago

4 0

Answer:

D is the answer

Step-by-step explanation:

Arithmetic sequence have common difference between two consecutive terms.

Geometric sequences have common ratio between two consecutive terms.

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Evaluate (1/3)^3<br><br> answer now

SSSSS [86.1K]

1/27
It’s the same as (1/3)(1/3)(1/3)

5 0

3 years ago

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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

$3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}$

3 0

4 years ago

What is the circumference of the circle? Use a = 3.14. Round your answer to the

larisa [96]

Answer: 53.4 cm

Step-by-step explanation:

The formula for circumference is C=2πr or C=πd. These equations are the same. Since the problem gives us the diameter, we'll go ahead and use C=πd.

C=(3.14)(17)

C=53.38=53.4 cm

3 0

3 years ago

An unmanned submarine ascends from the ocean floor at a rate of 2 meters per second. If the ocean floor is 4220 feet below sea l

KengaRu [80]

Answer:

a=4220-2t

This would be if we are finding the altitude of the submarine from the surface of the water(how many meters away from the surface it is). I don't know what it would be if you want to know from the bottom of the ocean.

4 0

3 years ago

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PLEASE HELP ME WITH THIS

Anarel [89]

Answer:

I think it would be 18 bc the diameter is twice the amount of the radius......?

Step-by-step explanation:

5 0

3 years ago