2 +d, di, d2: R² XR² > R² defined as follow Q/ Let d₂ 2/ d((x+x), (2, 1)) = √(x-2)² + (x-wsc • d₁ ((x,y), (z, w)) = max {| x-z\, \y-w\} • d₂ ((x, y), (Z, W)) = 1x-21+ \y-w| 2 • show that ddi, d₂ are equivalent? އ
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- e) f'(x)=(f.fx) 8. Let f(x)= a) (fog)(x) c) (fof)(x) - a) y = x² +1 9. Find the domain of each function. and g(x) = 3x+1, find the following: b) (gof)(x) b) y Q Search 2 x-3 f) (fog)(x) O d) (gog)(x) 10. What is the slope of the line passing through (-5, 6) and (1, -3)? Then find the equation of this line. Write the equation in slope-intercept form. (2pts) c) y = √x +4 me 31 10 MIL UTFind r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t): ³ t²i - 4tj + ²t³k 3 (a) r(t) 3it + 2t²k - 4j (b) r"(t) 4kt + 3i (c) r(t) r"(t) (d) r'(t) x r"(t) X = Your answer cannot be understood or graded. More InformationFind the partial derivative of fy for the function * 3 f (æ,y) = (3x +y) 3r² (3x² + y²)² Option 2 6y (3x² + y²)² Option 4 3y (3x² + y²)² Option 1 2 6 (3x² + y²) ² Option 3