The temperature at time t hours is T(t) = −0.3t² + 4t + 60 (for 0 ≤ t ≤ 12). Find the average temperature between time 0 and time 10.

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A: I am attaching image so that you understand each and every step.

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Q: a) Classify the following sequences: (i) 6.5, 9.75, 13, 16.35,…….. (ii) 4/9, 8/9, 16/9, 33/9,…………

A: a) Classify the following sequences:(i) 6.5, 9.75, 13, 16.35,…….. (ii) 4/9, 8/9, 16/9, 33/9,…………

Q: 21. y =(x-3)√x

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A: Given query is to find indicated derivative.

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A: formula used is   dxndx=nxn-1d dx(constant)=0

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A: To form a differential equation by eliminating the constants

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Q: INSTRUCTIONS: Differentiate with respect to x: y=x²

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Q: (7 y² +6 x)dx+ 11 x y dy=0 (*) a) Determine whether the given differential equation (*) is exact…

A: We have to determine whether the given differential equation (*) is exact

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Q: 7. Evaluate Definite Integral 4 X/4 -4 3 dx

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A: See the details solution in below

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A: y=ln7x-39

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A: Let's find total cell count after 3 hours.

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A: For a piecewise function we can write it as a unit step function as f=f't&lt;af''a≤t≤bf'''t≥bThen…

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A: Given, 85e^3x+1=15

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A: We have to find out solution

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A: Topic = Functions

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A: Formula for average rate of change