Compare dy and for at x = -1 with dx = -0.07. Give your answers to four decimal places.

Question

Compare dy and  for  at x = -1 with  dx = -0.07. Give your answers to four decimal places.

Quizplus · Accepted Answer

When computing the value of dy and 11ec1854_fdb9_bb5a_acfc_adb40676736a_TBX8702_11 for 11ec1854_fdb9_bb5b_acfc_81ba6e1746df_TBX8702_11 at x = -1, we need to substitute the value of x and dx into the function and then subtract the two resulting values. 
For dy, we have:
dy = f(-1 + dx) - f(-1) = (11ec1854_fdb9_bb5b_acfc_81ba6e1746df_TBX8702_11 * (-1 + dx)^2 + 5(-1 + dx))^2 - (11ec1854_fdb9_bb5a_acfc_adb40676736a_TBX8702_11 * (-1)^2 + 5*(-1))^2 = 11ec1854_fdb9_bb5e_acfc_37bdd2d9a7cd_TBX8702_11
For 11ec1854_fdb9_bb5a_acfc_adb40676736a_TBX8702_11, we have:
11ec1854_fdb9_bb5a_acfc_adb40676736a_TBX8702_11 = 11ec1854_fdb9_bb5b_acfc_81ba6e1746df_TBX8702_11 * (-1)^2 + 5*(-1) = 11ec1854_fdb9_bb5d_acfc_6b94c4c1e2b7_TBX8702_11
Therefore, the correct answer is B.

Compare Dy and for at X = -1