(Finding and Using Linear Single Approximations From Tangent And Secant Lines):

Use the given data and linear approximation to:

i. Estimate f (x)by a function in point-slope form;

ii. Estimate the value of f (1.02);

iii. Draw a picture illustrating (i) and (ii):

a)f (1) =11 and f '(1) = 17:

Compare to 4(ii) at c =1.

b)f (1) =11 and f (1.01) =11.1707 ;

Compare to 4(i) at c =1.

Use factorization and continuous extension to compute the following limit lim 7x2 + 3x+1) -(7(1)2+3(1)+1) x-+1 lim 7x' +3x -10 x-1 x-1