Find the second derivative of y=x3-x2+2x+5

Mathematics
Find the second derivative of y=x3-x2+2x+5

ScanSolve AI Answer

Answer

11

Here are the calculations based on the provided image. The function being evaluated is y=2x+5y = 2x + 5.

Step 1: Complete the table of values for y=2x+5y = 2x + 5. We substitute each xx value into the function to find the corresponding yy value.

For x=14x=14: y=2(14)+5=28+5=33y = 2(14) + 5 = 28 + 5 = 33 For x=7x=7: y=2(7)+5=14+5=19y = 2(7) + 5 = 14 + 5 = 19 For x=3x=3: y=2(3)+5=6+5=11y = 2(3) + 5 = 6 + 5 = 11 For x=1x=1: y=2(1)+5=2+5=7y = 2(1) + 5 = 2 + 5 = 7 For x=2x=2: y=2(2)+5=4+5=9y = 2(2) + 5 = 4 + 5 = 9 For x=4x=4: y=2(4)+5=8+5=13y = 2(4) + 5 = 8 + 5 = 13

The completed table is: | X | Y | |---|---| | 14| 33| | 7 | 19| | 3 | 11| | 1 | 7 | | 2 | 9 | | 4 | 13|

Step 2: Evaluate the function for specific xx values shown in the individual calculations.

For x=3x=3: y=2(3)+5y = 2(3) + 5 y=6+5y = 6 + 5 y=11y = \textbf{11}

For x=7x=7: y=2(7)+5y = 2(7) + 5 y=14+5y = 14 + 5 y=19y = \textbf{19}

For x=1x=1: y=2(1)+5y = 2(1) + 5 y=2+5y = 2 + 5 y=7y = \textbf{7}

For x=4x=4: y=2(4)+5y = 2(4) + 5 y=8+5y = 8 + 5 y=13y = \textbf{13}

For x=0x=0: y=2(0)+5y = 2(0) + 5 y=0+5y = 0 + 5 y=5y = \textbf{5}

For x=2x=2: y=2(2)+5y = 2(2) + 5 y=4+5y = 4 + 5 y=9y = \textbf{9}

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Quick Answer

Complete the table of values for y = 2x + 5. We substitute each x value into the function to find the corresponding y value.

Find the second derivative of y=x3-x2+2x+5
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Here are the calculations based on the provided image. The function being evaluated is y = 2x + 5. Step 1: Complete the table of values for y = 2x + 5. We substitute each x value into the function to find the corresponding y value. For x=14: y = 2(14) + 5 = 28 + 5 = 33 For x=7: y = 2(7) + 5 = 14 + 5 = 19 For x=3: y = 2(3) + 5 = 6 + 5 = 11 For x=1: y = 2(1) + 5 = 2 + 5 = 7 For x=2: y = 2(2) + 5 = 4 + 5 = 9 For x=4: y = 2(4) + 5 = 8 + 5 = 13 The completed table is: | X | Y | |---|---| | 14| 33| | 7 | 19| | 3 | 11| | 1 | 7 | | 2 | 9 | | 4 | 13| Step 2: Evaluate the function for specific x values shown in the individual calculations. For x=3: y = 2(3) + 5 y = 6 + 5 y = 11 For x=7: y = 2(7) + 5 y = 14 + 5 y = 19 For x=1: y = 2(1) + 5 y = 2 + 5 y = 7 For x=4: y = 2(4) + 5 y = 8 + 5 y = 13 For x=0: y = 2(0) + 5 y = 0 + 5 y = 5 For x=2: y = 2(2) + 5 y = 4 + 5 y = 9