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3 years ago

Which of the following functions has a maximum y value of 4?

Mathematics

2 answers:

larisa86 [58]3 years ago

4 0

Answer:

y = 4cosx

Step-by-step explanation:

Since we have cosx lying between -1 and 1, we have

y =4cosx lying between 4(-1) and 4(1)

i.e. maximum value is 4.

II option is incorrect because cos4x has maximum value only as 1.

III option is also incorrect because cos(x)+4 has maximum as 1+4=5

IV option is also incorrect because cos(x+4) has maximum as 1

As a result we have out of 4 options given only I option satisfies the condition that the function has a maximum value of 4.

rusak2 [61]3 years ago

3 0

The answer is y = 4cosx

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Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

$T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794$

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

$145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}$

$ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes$

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3 years ago

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klasskru [66]

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width=s inches
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Thus the correct answer is:
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pantera1 [17]

Answer:

14 min

Step-by-step explanation:

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2 years ago

Solve the equation 1/2(16x – 6) = 2.

Lorico [155]

Answer:

x = 0.625 or 5/8

Step-by-step explanation:

1/2(16x-6) = 2

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8x = 3 + 3

8x/8 = 9/8

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ArbitrLikvidat [17]

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3 years ago