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  1. f(x) = u /v....i.e. u = 5x² + 4x + 3 and v = 2x² - 2x - 14 Now, f '(x) = ( u 'v - uv')/v² so, f '(x) = [(10x + 4)(2x² - 2x - 14) - (...

    3 Answers · Science & Mathematics · 28/06/2020

  2. 1) Quotient rule: {d/dx}( u /v) = (1/v^2)[v(du/dx) - u (dv/dx)]. For tan = sin/cos we  have u = sin and... with chain & power: We write tan = sin*cos^-1. Then u = sin & v = cos^-1. {d/dx}( u *v) = [ u (dv/dx) + v(du/dx)]. (dv/dx) = -cos^-2(-sin...

    2 Answers · Science & Mathematics · 02/07/2020

  3. Angle between vectors: cos α = a·b / |a|·|b|  u·v = (ax)(bx) + (ay)(by) = (2)(3) + (-4)(-8) = 38 | u | = √((2)² + (-4)²) = 2√5 |v| = √((3)² + (-8)²) = √73 cos α = 38 / 2√5√73 α = 6.0°

    1 Answers · Science & Mathematics · 10/08/2020

  4. ... or B ) is the same as P(A U B)    This is a general rule  P...which must have the same results.    P(A U B) =    P(A) + P(B...

    2 Answers · Science & Mathematics · 06/10/2020

  5. Green says: ∮_C ( u dx + v dy) = ∫∫_R (∂v/∂x - ∂ u /∂y) dx dy. You have u =4y²x...

    1 Answers · Science & Mathematics · 27/06/2020

  6. ... the chain rule: y = (x² + 4x)^(1/3) Set this up as: y = u ^(1/3) and u = x² + 4x The chain rule is: dy/dx = dy/du * du...

    8 Answers · Science & Mathematics · 13/10/2020

  7. Yes. And then you determine the leading coefficient so the y-intercept becomes 25. f(x) = a(x+2)^2 + 13 f(0) = 25 a = 3 There are many " U shape" curves and I assume you do want the parabola.

    1 Answers · Science & Mathematics · 07/10/2020

  8. ...x + 2) to get this first derivative we need to use the quotient rule: if f = u /v, then f' = ( u 'v - uv') / v² So we can set up our...

    1 Answers · Science & Mathematics · 01/10/2020

  9. .... ₀∫¹(x-8)/(x²-7x+10) dx =  substitute immediately u =2x-7 (yes, that's derivative of the denominator), => x=( u +7)/2,  du=2dx new ...

    5 Answers · Science & Mathematics · 26/06/2020

  10. ....  Let's start with setting up the quotient rule: y = u /v and u = (z² - 5)³ and v = (z² + 4)² y' = ( u ...

    4 Answers · Science & Mathematics · 26/10/2020

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