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Ad libitum [116K]
3 years ago
8

What is the definition of a relation?

Mathematics
2 answers:
motikmotik3 years ago
8 0
The way in which two or more people or things are connected; a thing's effect on or relevance to another.
12345 [234]3 years ago
8 0
When to or more people are connect
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Let θ
konstantin123 [22]

Answer:

θ is decreasing at the rate of \frac{21}{16} units/sec

or \frac{d}{dt}(θ) = \frac{-21}{16}

Step-by-step explanation:

Given :

Length of side opposite to angle θ is y

Length of side adjacent to angle θ is x

θ is part of a right angle triangle

At this instant,

x =  8 , \frac{dx}{dt} = 7

( \frac{dx}{dt} denotes the rate of change of x with respect to time)

y = 8 , \frac{dy}{dt} = -14

( The negative sign denotes the decreasing rate of change )

Here because it is a right angle triangle,

tanθ = \frac{y}{x}-------------------------------------------------------------------1

At this instant,

tanθ = \frac{8}{8} = 1

Therefore θ = π/4

We differentiate equation (1) with respect to time in order to obtain the rate of change of θ or \frac{d}{dt}(θ)

\frac{d}{dt} (tanθ) = \frac{d}{dt} (y/x)

( Applying chain rule of differentiation for R.H.S as y*1/x)

sec^{2}θ\frac{d}{dt}(θ) = \frac{1}{x}\frac{dy}{dt} - \frac{y}{x*x}\frac{dx}{dt}-----------------------2

Substituting the values of x , y , \frac{dx}{dt} , \frac{dy}{dt} , θ at that instant in equation (2)

2\frac{d}{dt}(θ) = \frac{1}{8}*(-14)- \frac{8}{8*8}*7

\frac{d}{dt}(θ) = \frac{-21}{16}

Therefore θ is decreasing at the rate of \frac{21}{16} units/sec

or  \frac{d}{dt}(θ) = \frac{-21}{16}

3 0
3 years ago
One of the unsolved problems in Number Theory is whether there exist
Vedmedyk [2.9K]

Answer:

True.

Step-by-step explanation:

Computers have been used to check odd numbers up to 10^300  and no odd perfect numbers exist in this range , but that is not a proof that they don't exist.

3 0
3 years ago
Use the Discriminant to describe the roots of each equation. Then select the best description.
TiliK225 [7]
The discriminant is the part under the sqrt in the quadratic formula
for ax²+bx+c, the discriminant is b²-4ac


if the discriminant is
less than 0, then there are non-real roots
equal to 0, then there is a double root
greater than 0, then there are 2 real roots (may be rational or irrational)

so

1x²-5x+7

b²-4ac=(-5)²-4(1)(7)=25-28=-3
less than 0 so it is non real roots

answer is D
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3 years ago
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