1. Use the exponential definitions of the hyperbolic functions to prove the following identity. (Should should...

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1. Use the exponential definitions of the hyperbolic functions to prove the following identity. (Should should start with one side and manipulate the expressions to produce the other side. You should not start with the equation and reduce to an known equality; this is not a valid method of proving identities.) (6) 2. Calculate this limit. (4) 3. Calculate this derivative. (4) sinhr= 2 4. Calculate this integral (4) cosh 2x - 1 lim I-00 ez +sinh r cosh z d (si (sinhz + da 1 1+tanhr 4 cosh z 54022 -da 5. Find the slope of the tangent line to the following locus at the points (1, 1) and (1,0). (6) z+y-zy=1 1. Use the exponential definitions of the hyperbolic functions to prove the following identity. (Should should start with one side and manipulate the expressions to produce the other side. You should not start with the equation and reduce to an known equality; this is not a valid method of proving identities.) (6) 2. Calculate this limit. (4) 3. Calculate this derivative. (4) sinhr= 2 4. Calculate this integral (4) cosh 2x - 1 lim I-00 ez +sinh r cosh z d (si (sinhz + da 1 1+tanhr 4 cosh z 54022 -da 5. Find the slope of the tangent line to the following locus at the points (1, 1) and (1,0). (6) z+y-zy=1