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Q2/Give a value for each of the following limits: x2 - 4x – 21 1) lim 7 3x2 - 17x – 28 (7+2x)-V5-vZ) 2) lim x-V10 x2-10 x - 1 3) lim x--1 Vx² + 3 – 2

Q2/Give a value for each of the following limits: x2 - 4x – 21 1) lim 7 3x2 - 17x – 28 (7+2x)-V5-vZ) 2) lim x-V10 x2-10 x - 1 3) lim x--1 Vx² + 3 – 2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer two only A) Determine the equation of the tangent line to the curve xsin(y) – x²cos(y) =1 at the point QI/ (1,4) 1 B) Find the equations of all lines having slope -1 that are tangent to the curve y = (х-3) C) Find the equation of tangent to the curve 4x² + 9y² = 36 at the point (3 cos 0, 2 sin 0). Q2/Give a value for each of the following limits: x² – 4x – 21 1) lim -7 3x2 – 17x – 28 (V(7+2x)-V5-V2) 2) lim x-V10 x² -10 x – 1 3) lim x→1 Vx² + 3 – 2 x²+3-/3x²+1 (x²+8)-/(10-x²) 4) lim X-1 5)lim x-1 (x²+3)-/(5-x²5) x-1 Q3/ A)Find the following derivatives (y ):- www 1+5t 1) у — In(t) 2) y = 10V – VaT + 6Vz® – 3 3)y = (5x³ – 3)5 V-4x5 – 3 4) e2x+3y = x? – In(xy³) sin(x) В) If у 3 find y', y", y'"' ? Q4) Prove each of the following: cos x 1+sinx (1) 1+sinx = 2secx (2)[tanh'(sinx)] = secx cos x 1+sinx (3) dx3 )을(xlnx) (4)tan?x + 1 + tanxsecx = = - cosx
Transcribed Image Text:Answer two only A) Determine the equation of the tangent line to the curve xsin(y) – x²cos(y) =1 at the point QI/ (1,4) 1 B) Find the equations of all lines having slope -1 that are tangent to the curve y = (х-3) C) Find the equation of tangent to the curve 4x² + 9y² = 36 at the point (3 cos 0, 2 sin 0). Q2/Give a value for each of the following limits: x² – 4x – 21 1) lim -7 3x2 – 17x – 28 (V(7+2x)-V5-V2) 2) lim x-V10 x² -10 x – 1 3) lim x→1 Vx² + 3 – 2 x²+3-/3x²+1 (x²+8)-/(10-x²) 4) lim X-1 5)lim x-1 (x²+3)-/(5-x²5) x-1 Q3/ A)Find the following derivatives (y ):- www 1+5t 1) у — In(t) 2) y = 10V – VaT + 6Vz® – 3 3)y = (5x³ – 3)5 V-4x5 – 3 4) e2x+3y = x? – In(xy³) sin(x) В) If у 3 find y', y", y'"' ? Q4) Prove each of the following: cos x 1+sinx (1) 1+sinx = 2secx (2)[tanh'(sinx)] = secx cos x 1+sinx (3) dx3 )을(xlnx) (4)tan?x + 1 + tanxsecx = = - cosx
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