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quiz 4 MA 118 C. NELAN

quiz 4 MA 118 C. NELAN -...

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MATT ALONGI, JOHN COURSEN, KASEY CHUISANO, SEAN IODICE, STEPHANIE BUCHANON MA 118 Quiz 4 – TEAM # 1 Do not bother to algebraically simplify the derivatives you compute. I need one quiz from each group. Designate one member to hand the quiz in. Make sure the names of all group members appear on the answer sheet. Due by July1, midnight 1) 20000x 51 y 43 z 49 2) y=-6x+9 3) x= 30.86 4) Domain = [-4,4] Range = [0,-4] 5) 2x 3 +7x-37=0 x=2.8 6) $23,000 7) limit= 48 8) 5x 4 -7x 2 +8x-7/x+13/x 2 9) g(x) = x 5/3 – x 3/5 g`(x) = 5/3x 2/3 – 3/5x 10) h’(x) = 8 (3x 2 + 2x + 5) 7 11) 3x 3 + 4 12) k'(x)=3(x^2)*((3x-5)^15) + 45(x^3)*((3x-15)^14)
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13) g(x)= 12(x-1/3) g’(x)= (-1/3)(12)(x-4/3)= -4x(-4/3)
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Unformatted text preview: g’’(x)= (-4/3)(-4)(x-7/3)= (16/3)x-7/3 14) h(t) = 2t 3 +3t 2 +5t feet = distance h`(t) = 6t 2 +6t+5 feet = velocity h``(t) = 12t+6 feet = acceleration h``(t) = 12(5)+6 = 66 ft/s 2 15) 12(2) 2-6= 42 16) X = 2, X = -2 17) max. = 225 min. = 0 18) He should plant 100 trees 19) 280 necklaces you should make. You should sell them for 320 a piece to maximize profits, and your maximum profit is $77900 20) Volume = x 2 y = 108in 3 Surface Area (A) = x 2 +4xy y= 108/x 2 A = x 2 +(432/x) A`=2x+(432/x 2 ) 0=2x+(432/x 2 ) x = 6in (base) x 2 y = 108 6 2 y = 108 y = 3in (height) final Dimensions = 6in x 6in x 3in...
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