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Advanced Limits, Continuity, Ordinary and Partial Derivatives, Integrals, Multi-variable CalculusenSun, 29 Mar 2020 03:40:48 GMTvBulletin60https://mathhelpboards.com/images/mhb/misc/rss.pngMath Help Boards | Free Math Help - Calculus
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3.6.26 mvt
https://mathhelpboards.com/calculus-10/3-6-26-mvt-27177-new.html
Fri, 27 Mar 2020 21:40:59 GMTAttachment 9627 (https://mathhelpboards.com/attachments/calculus-10/9627-3-6-26-mvt-2020_03_27_11-19-53-2-jpg)
Ok Just have trouble getting this without a function..2020_03_27_11.19.53~2.jpg

Ok Just have trouble getting this without a function..

]]>Calculuskarushhttps://mathhelpboards.com/calculus-10/3-6-26-mvt-27177.htmlspeed of a light beam
https://mathhelpboards.com/calculus-10/speed-light-beam-27174-new.html
Fri, 27 Mar 2020 05:47:12 GMTA lighthouse is located on a small island 16 km off-shore from the nearest point P on a straight shoreline. Its light makes 5 revolutions per minute....A lighthouse is located on a small island 16 km off-shore from the nearest point P on a straight shoreline. Its light makes 5 revolutions per minute. How fast is the light beam moving along the shoreline when it is shining on a point 3 km along the shoreline from P?
]]>Calculusjoyhttps://mathhelpboards.com/calculus-10/speed-light-beam-27174.html3.2.15 mvt
https://mathhelpboards.com/calculus-10/3-2-15-mvt-27171-new.html
Fri, 27 Mar 2020 00:49:59 GMT$\tiny{3.2.15}$
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. Graph the function the secant...$\tiny{3.2.15}$
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. Graph the function the secant line through the endpoints, and the tangent line at $(c,f(c))$.
$f(x)=\sqrt{x} \quad [0,4]$
Are the secant line and the tangent line parallel?
$\dfrac{{f(b)-f(a)}}{{b-a}}$
then
$f(0)=0 \quad f(4)=2 \quad m=\dfrac{1}{2}$
then
$f'(x)=\dfrac{1}{2\sqrt{x}}
=\dfrac{1}{2}\quad\therefore \quad f'(1)=\dfrac{1}{2}$
then
$(c,f(c))=(1,1)$

ok not sure if this is the de jour way but.......
]]>Calculuskarushhttps://mathhelpboards.com/calculus-10/3-2-15-mvt-27171.htmlHelp with understanding this series
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Thu, 26 Mar 2020 23:52:34 GMTCan anyone help with this problem. I've tried integral test but seems to be too complicated.pleasehelp.PNG

]]>CalculusLinus12351https://mathhelpboards.com/calculus-10/help-understanding-series-27169.htmlHow to solve this equation
https://mathhelpboards.com/calculus-10/how-solve-equation-27168-new.html
Thu, 26 Mar 2020 21:05:37 GMT$ \displaystyle y''(x)+y'(x)+F(x)=0$

Pleas me a idea
]]>CalculusAnotherhttps://mathhelpboards.com/calculus-10/how-solve-equation-27168.html2.6.5 implicit
https://mathhelpboards.com/calculus-10/2-6-5-implicit-27167-new.html
Thu, 26 Mar 2020 04:24:12 GMT$\tiny{166.2.6.5}$
Find y'
$$x^2-4xy+y^2=4$$
dy/dx
$$2x-4(y+xy')+2yy'=2x-4y-4xy'+2yy'=0$$
factor
$$y'(-4x+2y)=-2x+4y=$$
isolate
$$y'=\dfrac{-2x+4y}{-4x+2y}
=\dfrac{-x+2y}{-2x+y}$$

typo maybe not sure if sure if factoring out 4 helped
]]>Calculuskarushhttps://mathhelpboards.com/calculus-10/2-6-5-implicit-27167.html<![CDATA[[SOLVED] s8.2.5.7 chain rule]]>
https://mathhelpboards.com/calculus-10/s8-2-5-7-chain-rule-27148-new.html
Fri, 20 Mar 2020 21:29:44 GMTfind $F'(x)$
$$F(x)=(7x^6+8x^3)^4$$
chain rule
$$4(7x^6+8x^3)^3(42x^5+24x^2)$$
factor
$$4x^3(7x^3+8)^3 6x^2(7x^3+4)$$

ok W|A returned this but dont see where the 11 came from
$$24 x^{11} (7 x^3 + 4) (7 x^3 + 8)^3$$
]]>Calculuskarushhttps://mathhelpboards.com/calculus-10/s8-2-5-7-chain-rule-27148.html296 AP calculus exam. IVT
https://mathhelpboards.com/calculus-10/296-ap-calculus-exam-ivt-27134-new.html
Sat, 14 Mar 2020 21:08:13 GMTAttachment 9602 (https://mathhelpboards.com/attachments/calculus-10/9602-296-ap-calculus-exam-ivt-2020_03_14_10-47-05_edit-jpg)
Ok I thot I posted this before but after a major hunt no find
Was...2020_03_14_10.47.05_edit.jpg
Ok I thot I posted this before but after a major hunt no find

Was ??? With these options since if f(x) Is a curve going below the x axis Is possible and () vs []

If this is a duplicate post
What is the link.. I normally bookmark these
Mahalo ahead

]]>Calculuskarushhttps://mathhelpboards.com/calculus-10/296-ap-calculus-exam-ivt-27134.htmlInequality involving Gaussian integral
https://mathhelpboards.com/calculus-10/inequality-involving-gaussian-integral-27124-new.html
Mon, 09 Mar 2020 16:43:17 GMTI'm trying to solve the inequality: