The value of \( \left|E_{M}\right| \) as a percentage of the integral's true value is \( 1.9 \% \). (Round to one decimal place as needed.) II. Using the Trapezoidal Rule a. Estimate the integral with \( n=4 \) steps and find an upper bound for \( \left|E_{T}\right| \). (Round to two decimal places as needed.) The upper bound for \( \left|E_{T}\right| \) is 2 . (Round to two decimal places as needed.) b. Using the value of the integral found by evaluating directly in part \( l . b \)., find \( \left|E_{T}\right| \). \( \left|E_{T}\right|=1.00 \) (Round to two decimal places as needed.) c. Use the formula ( \( \left|E_{T}\right| / \) (true value)) \( \times 100 \) to express \( \left|E_{T}\right| \) as a percentage of the integrals true value. The value of \( \left|E_{T}\right| \) as a percentage of the integral's true value is (Round to one decimal place as needed.)

2. Изобразнте систему координат в пространстве и \( \mathrm{A}(1 ;-2 ; 4) \). Найдите длину \( \overrightarrow{\mathrm{a}}=2 \overrightarrow{\mathrm{i}}-4 \overrightarrow{\mathrm{k}}+\overrightarrow{\mathrm{j}} \). Найдите координаты \( 2 \overrightarrow{\mathrm{a}}+3 \overrightarrow{\mathrm{~b}} \), если \( \overrightarrow{\mathrm{a}}\{2 ; 0 ;-3\}, \overrightarrow{\mathrm{b}}\{5 ;-1 ; 2\} \).

8. Ana's height was last measured as \( 64 \frac{5}{16} \) inches. Since then she has grown \( \frac{3}{4} \) of an inch. How tall is Ana now? L10

Плоскость \( \alpha \) пересекает стороны \( A C \) и \( B C \) треугольника \( A B C \) в точках \( A_{1} \) и \( B_{1} \) соответственно, так что \( A A_{1}: A_{1} C=B B_{1}: B_{1} C=1: 3 \). Докажите, что \( A B \| \alpha \) и найдите \( A_{1} B_{1} \), если \( A B=12 \).

14. \( 2 x^{3}-2=68 \)

пропанол-1 \( \xrightarrow{\mathrm{H}_{2} \mathrm{SO}_{4}, 150{ }^{\circ} \mathrm{C}} \mathrm{x}_{1} \xrightarrow{\mathrm{Br}_{2}} \mathrm{x}_{2} \xrightarrow{\mathrm{Zn}} \) прюпен \( \longrightarrow \) \[ \mathrm{X}_{3} \xrightarrow{\mathrm{~K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}, \mathrm{H}_{2} \mathrm{SO}_{4}} \text { ацетон } \] и написании уравнений реакций используйте структурные формуль ганических веществ.