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3 years ago

If x=at^3 and y=bt^2 then find dy/dx

Mathematics

1 answer:

Molodets [167]3 years ago

8 0

Dy/dx = (dy/dt) / (dx/dt)

dy/dt = 2bt

dx/dt = 3at^2

therefore dy/dx = 2bt/3at^2
dy/dx = 2b/3at

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Ainat [17]

Answer:

a or c Im not sure

Step-by-step explanation:

I think b though

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3 years ago

Determine the open intervals on which the graph of f(x) = x - 4cos x is concave upward or concave downward

bazaltina [42]

The graph of the function $f(x)$ is

concave upward, when $f''(x)>0;$
concave downward, when $f''(x)$

Find $f''(x):$

$f'(x)=(x-4\cos x)'=1+4\sin x;$

$f''(x)=4\cos x.$

Now:

1. when $4\cos x>0,$ the graph of the function is concave upward and this is for

$x\in \left(-\dfrac{\pi}{2}+2\pi k,\dfrac{\pi}{2}+2\pi k\right), \text{ where } k\in Z.$

2. when $4\cos x$ the graph of the function is concave downward and this is for

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3 years ago

How to do this question

Bas_tet [7]

Answer:

Step-by-step explanation:

factor out both equations and then cancel any of the common factors. You should be left with 4x/4, which simplified is x

7 0

2 years ago

Given that AC=1 and BC=2 what is AB ?

S_A_V [24]

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3 years ago

Red roses come 3 to a package, and white roses come 5 to a package. If an equal number of red and white roses are wanted to make

Katen [24]

Answer:

B :- 15

Step-by-step explanation:

Given:

A package of red rose contains = 3 pieces

A package of white rose contains = 5 pieces

If an equal number of red and white roses are wanted to make bouquets, what is the minimum number of each that can be purchased ?

Solution:

As here given that there are two types of package of roses, red roses come 3 pieces to each packet and white roses come 5 pieces to each packet and we have to find equal minimum number of red roses as well as white roses to be purchased, we will simply find the Lowest common multiple of 3 and 5.

Multiples of 3 :- 3, 6, 9,12, 15, 18, 21, 24

Multiples of 5 :- 5, 10, 15, 20, 25

Lowest common multiple is 15, that means 15 is the minimum number of pieces of each that can be purchased to make bouquets.

And number of packets of red rose have to purchase = 3 $\times$ 5 = 15, 5 packages.

And number of packets of white rose have to purchase = 5 $\times$ 3 = 15 , 3 packages.

4 0

3 years ago

Read 2 more answers