please do questions A B & C Determine whether the following statements are true and give an explanation or counterexample.a. The linear approximation to f(x) =x° at x = 0 is L(x)= 0.b. Linear approximation at x =0 provides a good approximation to f(x) = |x|.c. If f(x) = mx + b, then the linear approximation to f at any point is L(x) = f(x).d. When linear approximation is used to estimate values of Inx near x= e, the approximations are overestimates of the true ua. Is statement a true or false?O A. The statement is true. Substituting 0 for a in L(x) = f(a) + f'(a)(x – a) gives L(x) =x. Thus, L(0) = 0.O B. The statement is true. Substituting 0 for a in L(x) = f(a) + f'(a)(x-a) gives L(x) =0. Thus, L(0) = 0.O C. The statement is false. Substituting 0 for a in L(x) =f(a) + f'(a)(x-a) gives L(x) =2. Thus, L(0) = 2.O D. The statement is false. Substituting 0 for a in L(x) = f(a) +f'(a)(x-a) gives L(x) =1. Thus, L(0) = 1.Click to select your answer and then click Check Answer.partsremainingClear All14MacBook AirO00O00escF4F6F1F2F3%6.WE# 3

Name: please do questions A B & C Determine whether the following statements
Uploaded: 2024-03-20T06:38:44.000Z
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Description: please do questions A B & C Determine whether the following statements are true and give an explanation or counterexample.a. The linear approximation to f(x) =x° at x = 0 is L(x)= 0.b. Linear approximation at x =0 provides a good approximation to f(x