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Math · Advanced Math
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4. Use the Squeeze Theorem to show that 5r + 2 sin( 3r- 14 5 3 im 5. Find the value of k that will make r +2 continuous at r--2 6(a) Use the first principle of differentiation to find the derivative of f(x)-32 7 5 (b) Use your answer from (a) to determine f(2) 7. Use appropriate rules of differentiation to determine the derivatives of the following functions: (a) h(x)2 sin(z)2r cos(z) -2sin(x) (b) s(t) 3 (c) g(a) ny (d) () 2etan(0) (e) f(z) = (712+3rF (f) h(0) = sin(2cos (T 1+ In y 9 10

dy 8. Use implicit differentiation to find for the following functions (a) y cos 1-ry (b) (2ry +3) -7y

3. Determine the following limits. If a limit does not exist, explain why. ih+5-v5 e) lim (F) lim C-1 cos (0) 0 cos(0)-1 I) limi

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