WEBVTT
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oh this is a question in which will be using
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the concept of increasing and decreasing our application of derivative
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. We should say if this is triangle abc,
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this is the altitude and this is the base so
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Area is 1/2 and two. Base into the altitude
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question number one. Now various things we have been
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given ah that altitude is increasing at a rate of
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one centimeter per minute. So D. H by
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DT is one cm/min. An area is increasing at
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the rate of two centimeters Squire per minute. So
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we need to find the raid outfits. The basis
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is changing when altitude is 10 centimeter and base area
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and the area is 100 centimeters square. So let
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us differentiate equation number eight with respect to T so
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dear by duty is half since be an edge all
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our variables. So you'll be using the concept of
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the differentiation of the product. So be the H
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by DT place DB by DT into at Disability is
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2 1 x two B. What should be base
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should be taken as okay. At what rate is
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the base of the triangle is changing when altitude?
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Okay no problem. Be into DHB oddity we have
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one place delivery T. We need to find out
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and altitude is 10 cm we have to find the
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value of B when area is and the centimeter and
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ah Altitude is 10 cm 8800 centimeter square half into
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base into altitude 10. So the system. So
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BB. is 20 cm so we'll be plugging in
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value of 20 over here. So this will be
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to equal to one x 2, 22 and 20
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plus DB by detained 2 10. So this will
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be four Equal to 20 plus and D. V
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by DT So D V. But it will be
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cool too,-16 x 10-8 x five.
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So the rate of change of the base will be
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minus 85 centimeter permit on minus one point six centimeter
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per minute. Now this negative science shows that the
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base is decreasing with time. Thank you.