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Integrate (12x^5 - 8x^3 + 3)dx giving the terms of the answer in the simplest terms

Integration is essentially differentiation in reverse! So in the simpler cases instead of multiplying by the power of x and subtracting one from the power of x, you add one to the power of x and divide by th...
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Answered by Ellen S. • Maths tutor
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How do I remember the differences between the the two tenses; the imperfect and preterite?

This is the way I always remember the difference. The preterite tense is the past. The imperfect tene is the ongoing past. The preterite tense means that an action in the past has finished. For example, you ...
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Answered by Clara B. • Spanish tutor
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(C3) Show that 4csc^2(x) - cot^2(x) = k can be expressed as sec^2(x) = (k-1)/(k-4) where k != 4

The student can answer this in several ways. One using the simple, known identities csc= 1/sin, cot=1/tan, sec=1/cos, tan=sin/cos, sin^2 + cos^2 = 1 and basic algebra is the following: 4csc^2 - cot^2 = k4/si...
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Answered by Fearghus H. • Maths tutor
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Describe mitosis as part of the cell cycle

Define mitosis: a process of cell division where a single cell splits into two identical daughter cellsWhen does it occur? When the body requires more cells for growth.The overall process has 5 steps.Interph...
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Answered by Chloe T. • Biology tutor
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The ratio of Adam's age to Bob's age is 1:2. In 12 years time, the ratio of their ages will be 3:5. Calculate their current ages.

Now: In 12 years:A:B A:B1:2x:2x x+12:2x+12 = 3:5 x+12 = 2x+12 3 55(x+12) = 3(2x+12)5x + 60 = 6x + 36x = 24 A:B Adam = 24, Bob = 48x:2x24:2(24)24:48
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Answered by Aaron S. • Maths tutor
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