Answers: 2
![\displaystyle \frac{d}{dt}[c^2=a^2+b^2-2ab\cos(\theta)]\\\\\\\Rightarrow2c\frac{dc}{dt}=\frac{da}{dt}(2a-2b\cos(\theta))+\frac{db}{dt}(2b-2a\cos(\theta))+2ab(\sin(\theta)\frac{d\theta}{dt})](/tpl/images/0921/9937/31613.png)
![\displaystyle\frac{d}{dt}[c^2]=\frac{d}{dt}[a^2+b^2-2ab\cos(\theta)]](/tpl/images/0921/9937/36d53.png)
![\displaystyle \frac{d}{dt}[c^2]=\frac{d}{dt}[a^2]+\frac{d}{dt}[b^2]-\frac{d}{dt}[2ab\cos(\theta)]](/tpl/images/0921/9937/b9aad.png)
![\displaystyle 2c\frac{dc}{dt}=2a\frac{da}{dt}+2b\frac{db}{dt}-2\frac{d}{dt}[ab\cos(\theta)]](/tpl/images/0921/9937/b74a0.png)
![\displaystyle \frac{d}{dt}[ab\cos(\theta)]](/tpl/images/0921/9937/6378a.png)
![\displaystyle u'=\frac{d}{dt}[ab]\text{ and } v'=\frac{d}{dt}[\cos(\theta)]](/tpl/images/0921/9937/458c4.png)
![\displaystyle u^\prime=\frac{d}{dt}[ab]](/tpl/images/0921/9937/ae444.png)
![\displaystyle u_2^\prime=\frac{d}{dt}[a]\text{ and }v_2^\prime=\frac{d}{dt}[b]](/tpl/images/0921/9937/b0676.png)
![\displaystyle u{^\prime}=\frac{d}{dt}[ab]=u_2^\prime v_2+u_2v_2^\prime=\frac{da}{dt}b+a\frac{db}{dt}](/tpl/images/0921/9937/de28a.png)
![\displaystyle \frac{d}{dt}[ab\cos(\theta)]=u^\prime v+uv^\prime\\\\ =(\frac{da}{dt}b+a\frac{db}{dt})\cos(\theta)-(ab)(\sin(\theta)\frac{d\theta}{dt})](/tpl/images/0921/9937/0dc8f.png)
![\displaystyle 2c\frac{dc}{dt}=2a\frac{da}{dt}+2b\frac{db}{dt}-2\Big[(\frac{da}{dt}b+a\frac{db}{dt})\cos(\theta)-(ab)(\sin(\theta)\frac{d\theta}{dt})\Big]](/tpl/images/0921/9937/8691c.png)
![\displaystyle 2c\frac{dc}{dt}=\big[2a\frac{da}{dt}-2\frac{da}{dt}b\cos(\theta)\big]+\big[2b\frac{db}{dt}-2a\frac{db}{dt}\cos(\theta)\big]+2ab(\sin(\theta)\frac{d\theta}{dt})](/tpl/images/0921/9937/d6b6d.png)
Another question on Mathematics
Mathematics, 21.06.2019 17:40
Given f(x)= 9x+1 and g(x)=x^3, choose the expression (f*g)(x)
Answers: 2
Mathematics, 21.06.2019 20:30
Graph the line that represents a proportional relationship between d and t with the property that an increase of 33 units in t corresponds to an increase of 44 units in d. what is the unit rate of change of dd with respect to t? (that is, a change of 11 unit in t will correspond to a change of how many units in d? )
Answers: 3
Mathematics, 21.06.2019 20:30
Evaluate the expression for the given value of the variable. | ? 4 b ? 8 | + ? ? ? 1 ? b 2 ? ? + 2 b 3 -4b-8+-1-b2+2b3 ; b = ? 2 b=-2
Answers: 2
You know the right answer?
Differentiate the Law of Cosines with respect to time....
Questions
Mathematics, 14.11.2019 05:31
History, 14.11.2019 05:31
Physics, 14.11.2019 05:31
Physics, 14.11.2019 05:31
Mathematics, 14.11.2019 05:31
