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1. ### solve using fractional exponent √ t ?

Vt = t ^1/2. You can remember this if you know how exponents are added when multiplying. So, Vt x Vt = t and t ^1/2 x t ^1/2 = t ^(1/2+1/2) = t ^1 = t

4 Answers · Science & Mathematics · 29/01/2007

2. ### Factor t ^2 + 2t - 15?

t ^2 + 2t - 15 t coefficient ...it is 2 half it...result 1 add and subtract 1^2 =1 t ^2 + 2t - 15 +1 - 1 t ^2 + 2t + 1 = ( t +1 )^2 ( t +1 )^2 - 16 = ( t + 1 +4 ) ( t +1 -4 ) = ( t +5 ) ( t ...

4 Answers · Science & Mathematics · 16/10/2014

3. ### Use the given information to find each value. tan t =4/5,sin t <0?

tan t = (sin t ) / (cos t ) 4/5 = (sin t ) / (cos t ) because sin t < 0, but tan t > 0, we can... double-angle trig identities: sin(2t) = 2 * sin t * cos t sin(2t) = 2 * -4 * -5 >>sin(2t) = 40 C) ...

1 Answers · Science & Mathematics · 25/04/2013

4. ### Find curvature of r( t )?

The curvature for a parametrically defined curve r( t ) = x( t )∙i + y( t )∙j + z( t )∙k is given by κ( t ) = || r'( t ...39;( t )∙j + z''( t )∙k For this problem r( t ) = 3∙ t ∙i + 4∙sin( t )∙j + 4∙cos( t )∙k => r'( t ) = 3∙i + 4∙cos( t )∙j - 4∙sin( t )∙k r...

1 Answers · Science & Mathematics · 12/06/2013

[( t +4)/( t -2)]+1=[( t -1)/( t -4)] Cross multiply to get rid of the denominators...6t+8) = t2-3t+2 Combine 2t2-6t-8 = t2-3t+2 t2-3t-10 = 0 ( t -5)( t +3)=0 t = 5,-3 Does this make sense?

1 Answers · Education & Reference · 18/06/2009

6. ### f( t )= t /(1+ t ^2) < t square?

f( t ) = t / (1+ t ^2) a) Find the velocity at time t The velocity is the slope of the function f( t ...v( t ) = (1 + t ^2 - 2t^2) / [(1+ t ^2)^2] v( t ) = (1- t ^2) / [(1+ t ^2)^2] b) what is the velocity after 3s? Plug...

1 Answers · Science & Mathematics · 07/10/2010

7. ### 5-( t +3)=-1+1t-6 Algebra?

t = 4.5 you got t =9 because you forgot to divide the 9 by 2 in the end like so: 5 - ( t +3) = -1 + t - 6 5 - t - 3 = -7 + t 5 - 3 + 7 = t + t 9 = 2t 9/2 = 2t/2 4.5 = t

6 Answers · Science & Mathematics · 03/10/2012

8. ### solve for t where t is a real number?

Linear equation -5t + 24 = t -5t + 5t + 24 = t + 5t 0 + 24 = 6t 24 = 6t (1/6)(24) = (1/6)(6t) 4 = t ...2 25t^2 - 240t + 576 = t ......... power of a power: (a^m)^n = a^(m*n) 25t^2 - 240t - t + 576 = t - t 25t^2 - 241t + 576 = 0 By the quadratic formula t = ((-241) + or...

4 Answers · Science & Mathematics · 02/07/2007

9. ### How to find sin( t ) and tan( t ) from cos( t )?

Cosine t in a right triangle is measured as adjacent side divided by hypotenuse...x^2 so x = 7 therefore the opposite side is of length square root of 7 tan( t ) = [square root (7) ]/3 sin( t ) = [square root (7)]/ 4 Another way is...

1 Answers · Science & Mathematics · 29/10/2011

10. ### If v( t )=d'( t ) is the instantaneous rate of change of d( t ) at time t , then lim v( t )=? when t -->infinity?

d( t ) = √((2 - 2∙ t )² + (3∙ t )²) = √(4 - 8∙ t + 4∙t² + 9∙t²) = √(13...26∙ t - 8) ∙ (1/2) ∙ [1/√(13∙t² - 8∙ t + 4)] = (13∙ t - 4)/√(13∙t² - 8∙ t + 4) lim| t →∞| v( t ) = lim| t ...

1 Answers · Science & Mathematics · 23/01/2012