Given a function, f(x) = 3 log(x+2)+1, (a) state the domain and the range of the...

 

  
 

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Given a function, f(x) = 3 log(x+2)+1, (a) state the domain and the range of the function; and (b) determine f(x) and f(2). C. Solve the following equations: (a) Inx2 In(2x + 3); and (b) e2x3ex = 4. Evaluate the following integrals. (a) S 2x (x-1) dx (b) f (cos3x - sin ) dx 5x 5x (a) Solve cos x cos + sin 3 sin = for 0 x <2. 2 (b) The expression 3x-qx-7 leaves a remainder of 2 when divided by x-2. Find the value of q. Find the derivative of the following functions with respect to x. (a) y = ex+cosx-7x (5x-8)2 (b) y = sinx Given a function, f(x) = 3 log(x+2)+1, (a) state the domain and the range of the function; and (b) determine f(x) and f(2). C. Solve the following equations: (a) Inx2 In(2x + 3); and (b) e2x3ex = 4. Evaluate the following integrals. (a) S 2x (x-1) dx (b) f (cos3x - sin ) dx 5x 5x (a) Solve cos x cos + sin 3 sin = for 0 x <2. 2 (b) The expression 3x-qx-7 leaves a remainder of 2 when divided by x-2. Find the value of q. Find the derivative of the following functions with respect to x. (a) y = ex+cosx-7x (5x-8)2 (b) y = sinx