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Q09(Apr 17) - Don't forget to tell me what each ofyour...

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CALCULUS FOR THE SOCIAL AND MANAGEMENTSCIENCES Math 52-10 Spring 2008 QIDZ9 NAME: 1. Find an equation for the tangent to the graph of 2x3 + y4 = x3y4 at the point (-1, 1). Clearly tell me what y' is before determining the tangent. . ~ - a Lt- .3 t.r a..:x.. + '-j ::.. de- ~ ~ ~ I ~ 4 ~I 3 b~ + '+i ~ = 3t)L '-j + 4-~ ~ ;x. I ~ 4-. I. ~ b ~ () ~(), I l:j = - ~)(.. ~ - b at- ---0- .--- . *i3 - ~~3~3 b.', ~:,~ (-', \) J I L:J = -~ 8 A.'. t.~~: ~ -I =. -2.(X.+I) g (l. e... 3> dL + ~ L:j =. 5 ') continued ...
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2. I want to fence off a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, while the fencing for the north and south sides costs only $2 per foot. I have a budget of $80 for the fencing. What should the length of the south side be in order to maximize the area that I enclose?
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Unformatted text preview: Don't forget to tell me what each ofyour variablesdenotes; onceyou've got yourfunction y, you shouldfind y' and its sign-chart, andfinally come back out and answer the question asked. We. . ~ ~ = 1-L~) }" ~ ~~~ ~csi ~--A~~ ...e. .~~ l ~ t-t: ') (~ tt!) ~-:: ';K.h~ ~{&. ~ ~~ &- :. ~-.:::. gh + ~~ J ~ ~~~ b- W~ ~ ~ = go ~-bf:, ~- l4-~ ""~ 1>.-~ g . ~ . '1 = ';)L (l--}:!t. ')-~ \O()L-:K.-~ .-. I ~ = t 0-'C)t. . +-I ~ . \-'. ~ ~ ~ 10 .-p ,('\ x. - ~'= \NOJ.)Llvv-LL--tt\A.~ u-. ~ . ~ dL~ \0-A- ~~ t-t.h ~ ~ $.. 10 trt. ~ ~~L.~ t1AL ~c. .Lo~ ~ ***************************************...
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