Using the definition of definite integral as the limit of a sum, evaluate: (2z + 3)dr

Q: Number 6

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Q: Calculus Question

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A: Given,            y = r2 - 4r er

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A: Consider the equation

Q: 3-

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Q: The family ƒ(x) = 1/xp Consider the family of functions ƒ(x) = 1/xp, where p is a real number. For w...

A: Given that ∫1∞f(x)dx=∫1∞1xpdx          Since f(x)=1xp

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Q: Calculus Question

A:   Absolute minimum: The lowest possible value that a function attains in its domain is called the ab...

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Q: f(x) = 2/(x^2+1) -1  is f(x) continius?

A: The given function fx=2x2+1-1 Since x2+1 is always +ve. Therefore, 2x2+1 is always positive and real...

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Q: Calc 3: If z = f(x, y), where f is differentiable, and the following applies, find dz/dt when t = 8....

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A: Given that r=sinθ4

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Q: Find each integral. [ Be sure to apply the arcsin or arcsec rule! ]

A: Given: From the above expression,

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A: Consider the functions fx=x3    and   gx=x13. Note that  f∘gx=fgx=fx13=x Similarly, g∘fx=gfx=gx3=x T...

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A: we have  ex2y=2x+2y  

Q: Number 4

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Q: 7.372 The rate of change of the weight of a mouse, can be modeled by r(t) = grams per week, where t ...

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.