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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(𝑥) = 1 𝑥−2 b) Estimate the limit by using L’Hopital’s Rule 𝐥𝐢𝐦

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

a) Estimate the domain of the function 𝑓(𝑥) = 1 𝑥−2

b) Estimate the limit by using L’Hopital’s Rule 𝐥𝐢𝐦 𝒕→𝟎 𝒔𝒊𝒏(2+𝟏)𝒕 /𝒕

c) Let 𝒇(𝒙) = 𝟐𝒙 − 2 & 𝒈(𝒙) = 𝒙^𝟑 − 3 Estimate

i. 𝒇(𝒈(𝟐))

ii. 𝒈(𝒇(𝟑))

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

a) 𝐀𝐩𝐩𝐥𝐲 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 𝒅𝒚 𝒅𝒙 ⁄ 𝒙 2 + 𝒚 = 𝟏

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

Apr 21 2021 View more View Less Subscribe To Get Solution