Numbers between 590 and 610 divisible by 2 3 5 and 10

Mathematics

1 answer:

pochemuha2 years ago

4 0

600 is a possible answer

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How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?

dem82 [27]

How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?

Answer: the third option (12 zeros..).

Use ^ to denote an exponent..

f(x) = 3x^12 - 17x^8 + 11x^4 - 6x + 23..

We know from that fact that the number of zeros (real or complex) in a polynomial is the same as the degree of the polynomial..

The degree is the greatest/highest power of the terms, which in this case is 12 (since 12 is the greatest exponent..)..

The degree is 12, thus it means there are 12 zero's..

Answer: the third option (12 zero's )...

3 0

3 years ago

(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$