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Q.No.1 (CLO_1): (Cognitive Level C2, i.e., Understanding) (PLO_1: Engineering Knowledge) a) Estimate the domain of the function 𝑓(π‘₯) = 1 π‘₯βˆ’2 b) Estimate the limit by using L’Hopital’s Rule π₯𝐒𝐦

Q.No.1 (CLO_1): (Cognitive Level C2, i.e., Understanding) (PLO_1: Engineering Knowledge)

a) Estimate the domain of the function 𝑓(π‘₯) = 1 π‘₯βˆ’2

b) Estimate the limit by using L’Hopital’s Rule π₯𝐒𝐦 π’•β†’πŸŽ π’”π’Šπ’(2+𝟏)𝒕 /𝒕

c) Let 𝒇(𝒙) = πŸπ’™ βˆ’ 2 & π’ˆ(𝒙) = 𝒙^πŸ‘ βˆ’ 3 Estimate

i. 𝒇(π’ˆ(𝟐))

ii. π’ˆ(𝒇(πŸ‘))

Q.No.2(CLO_2): (Cognitive Level C3, i.e., Applying) (PLO_1: Engineering Knowledge)

a) 𝐀𝐩𝐩π₯𝐲 the mean value theorem to calculate the value or values of c that satisfy the equation

𝒇(𝒙) = 𝒙 + 𝟏 𝒙 [ 𝟏 𝟐 , 3]

b) i. Apply implicit differentiation to find π’…π’š 𝒅𝒙 ⁄ 𝒙 2 + π’š = 𝟏

ii. Compute equation of Tangent & Normal line at point (1,0)

Apr 21 2021 View more View Less

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