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melomori [17]
2 years ago
14

What is the range of the function f(x) = -2(64) + 3? 0 (-♾-2] 0 (-0,3) (-2,♾) (3.♾)

Mathematics
1 answer:
Ket [755]2 years ago
6 0

Answer:

F(x)=−125x+C

Step-by-step explanation:

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Find the largest interval which includes x = 0 for which the given initial-value problem has a unique solution. (Enter your answ
Ivan

Answer:

(-\infty,3)

Step-by-step explanation:

We are given that

(x-3)y''+4y=x

y''+\frac{4}{x-3}y=\frac{x}{x-3}

y(0)=0

y'(0)=1

By comparing with

y''+p(x)y'+q(x)y=g(x)

We get

p(x)=\frac{4}{x-3}

g(x)=\frac{x}{x-3}

q(x)=0

p(x),q(x) and g(x) are continuous for all real values of x except 3.

Interval on which p(x),q(x) and g(x) are continuous

(-\infty,3)and (3,\infty)

By unique existence theorem

Largest interval which contains 0=(-\infty,3)

Hence, the larges interval on which includes x=0 for which given initial value problem has unique solution=(-\infty,3)

7 0
3 years ago
Margaret makes bracelets and sells them to tourists. the function s(t) approximates how many bracelets margaret makes per hour.
Fantom [35]

The units for the composite function s(w(h)) is <u>bracelets over a week</u> when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.

To define the unit of the composite function s(w(h)), we first need to find the units of the functions s(t) and w(h).

The function s(t)  represents the number of bangles per hour, so its unit will be bangles over an hour.

The function w(h) represents the hours per week spent on making the bracelets, so its unit will be hours over a week.

Now, we can define the unit of the composite function s(w(h)).

To find the unit of the composite function we follow these steps:-

s(w(h)),

= s(hours over a week) {replacing the function w(h) by its units},

= (bangles over an hour(hours over a week)) {replacing the function s(t) with its units},

= bangles over a week {Simplifying}.

Thus, the units for the composite function s(w(h)) is <u>bracelets over a week</u> when the function s(t) approximates how many bangles Margaret makes per hour and the function w(h) represents how many hours per week Margaret spends making the bracelets.

Learn more about the units of a composite function at

brainly.com/question/15056566

#SPJ4

4 0
2 years ago
the smallest known bacteria are from a genus mycoplasma and can measure as small as 300 nanometers in diameter. given that 1 met
vesna_86 [32]
Length of 1 = 300 = 3 *10^2 nanometers
= 3*10^2/1*10^9 m
= 3*10^(2-9)
= 3*10^-7m
3 0
3 years ago
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(-4+6i) + (-6-2i)<br> How do I solve
elena55 [62]

Answer:

(-4+(-6))+(6i-2i)

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The answer is 72.1.you should dot infront sizes and then equals them
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