Coordinate Geometry – Page 82

Given-that-the-function-f-x-x-3-is-differentiable-in-the-interval-2-2-Use-the-mean-value-theorem-to-find-the-value-of-x-for-which-the-tangent-to-the-curve-is-parallel-to-the-chord-through-the-p

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Question Number 73542 by Rio Michael last updated on 13/Nov/19 $G i v e n t h a t t h e f u n c t i o n f (x) = x^{3} i s d i f f e r e n t i a b l e$ $i n t h e i n t e r v a l (- 2, 2), U s e t h e m e a n v a l u e t h e o r e m$ $t o f i n d t h e v a l u e o f x f o r w h i c h t h e t a n g e n t t o t h e c u r v e$ $i s p a r a l l e l t o t h e c h o r d t h r o u g h t h e p o i n t (- 2, 8) a n d (2, 8)$ Terms of Service Privacy Policy…

Question-138774

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Question Number 138774 by Bekzod Jumayev last updated on 18/Apr/21 Commented by Bekzod Jumayev last updated on 18/Apr/21 $x = ? ?$ $P l e a s e h e l p$ Answered by…

Question-138758

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Question Number 138758 by EnterUsername last updated on 17/Apr/21 Answered by mr W last updated on 18/Apr/21 Commented by mr W last updated on 18/Apr/21…

Question-138548

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Question Number 138548 by I want to learn more last updated on 14/Apr/21 Answered by nimnim last updated on 14/Apr/21 $L e t t h e c e n t r e o f t h e c i r c l e b e C (h, k)$ $S i n c e, i t t o u c h e s t h e x - a x i s a t P (- 3, 0),$ $$\:{CP}\bot\:{x}−{axis}\:{and}\:{h}=−\mathrm{3}…

Question-72863

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Question Number 72863 by ajfour last updated on 04/Nov/19 Commented by ajfour last updated on 04/Nov/19 $F i n d e q u a t i o n s o f A B d i v i d i n g$ $t h e c o m p o s i t e a r e a i n t w o e q u a l$ $p a r t s, w h e n s e g m e n t A B h a s$ $l e a s t l e n g t h a n d m a x i m u m l e n g t h .$ …

Question-7258

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Question Number 7258 by Tawakalitu. last updated on 19/Aug/16 Commented by Yozzia last updated on 19/Aug/16 $y^{'} = \frac{x}{\sqrt{5 - x^{2}}} \Rightarrow y = \int \frac{x}{\sqrt{5 - x^{2}}} d x .$ $L e t u = 5 - x^{2} \Rightarrow d u = - 2 x d x \Rightarrow x d x = \frac{- 1}{2} d u .$ $${y}=\frac{\mathrm{1}}{\mathrm{2}}\int\frac{−{du}}{\:\sqrt{{u}}}=\frac{−\mathrm{1}}{\mathrm{2}}\int{u}^{−\mathrm{1}/\mathrm{2}} {du}=\frac{−\mathrm{1}}{\mathrm{2}}×\mathrm{2}{u}^{\mathrm{1}/\mathrm{2}}…

Question-72721

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Question Number 72721 by mr W last updated on 01/Nov/19 Commented by mr W last updated on 01/Nov/19 $f i n d t h e c o r r e l a t i o n o f A a n d B s u c h$ $t h a t t h e c i r c l e i s i n s c r i b e d b e t w e e n t h e$ $p a r a b o l a a n d t h e x - a x i s a s s h o w n .$ …

Three-circles-each-radius-1-touch-one-another-externally-and-they-lie-between-two-parallel-line-The-minimum-possible-distance-between-the-lines-is-

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Question Number 138203 by liberty last updated on 11/Apr/21 $T h r e e c i r c l e s e a c h r a d i u s 1, t o u c h o n e$ $a n o t h e r e x t e r n a l l y a n d t h e y l i e$ $b e t w e e n t w o p a r a l l e l l i n e . T h e$ $m i n i m u m p o s s i b l e d i s t a n c e b e t w e e n$ $t h e l i n e s i s_$ Answered by bobhans last updated…

Prove-that-the-locus-of-a-point-which-moves-its-distance-from-the-point-b-0-is-p-times-its-distance-from-the-point-b-0-is-p-2-1-x-2-y-2-b-2-2b-p-2-1-x

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Question Number 6716 by Tawakalitu. last updated on 15/Jul/16 $P r o v e t h a t t h e l o c u s o f a p o i n t w h i c h m o v e s i t s d i s t a n c e f r o m$ $t h e p o i n t (- b, 0) i s p t i m e s i t s d i s t a n c e f r o m t h e p o i n t (b, 0) i s$ $(p^{2} - 1) (x^{2} + y^{2} + b^{2}) - 2 b (p^{2} + 1) x = 0$ $S h o w t h a t t h i s l o c u s i s a c i r c l e a n d f i n d i t s r a d i u s .$ Answered by…

Question-137768

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Question Number 137768 by mr W last updated on 06/Apr/21 Commented by mr W last updated on 06/Apr/21 $f i n d t h e m a x i m a l a r e a o f t h e s h a d o w$ $i n t e r m s o f r, h, H a n d d .$ Answered by…

Category: Coordinate Geometry