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Calculus

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Q: Evaluate the limits. f(x)={8x+7x2−8x≤1x>1f(x)={8x+7x≤1x2−8x>1 Enter DNE if the limit does not ...

A: Given function is Firstly, we will find left hand limit and right hand limit at x=1. For left hand ...

Q: Find the Derivative dy/dx

A: Given,

Q: find the equation of the tangent to the curve y=(x-2)square root((x^2)+16) at x=3

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Q: b. Evaluate the following limits: 7x cos)-7x lim- [sin(-2x)sin(5x)sin(7x)] lim 5x2 2x cos(x) X-0

A: We write the given limit in the following format

Q: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is

Q: Solve the following differential equations using the method of variation of paramete (a) a*y" – xy +...

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Q: During the time interval 0 ≤ t ≤ 4.5 hours, water flows into tank A at a rate of a(t) = (2t - 5) + 5...

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Q: 6.5/6.6. 2

A: We find dy/dx using the power rule and chain rule

Q: evaluate using Integration by Parts.

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