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11. The figure shows the contour map of the function T (in "C giving the temperature at each poin...
Answer all parts please. (calculus/contour/gradient/max/min) The figure to the right shows the contours of a smooth fun...
Answer all parts please. (calculus/contour/gradient/max/min)
The figure to the right shows the contours of a smooth function z = f(x,y) . a. 2 pes Label a point A on the contour graph where the gradient ofpoints in the same direction as-i+j. b. 2ps Label a point M on the contour graph where lgrad appears to be largest c. 4 pts Estimate the locations and values of the maximum and minimum of f(x, y) subject to the triangular constraint x+ys8, x20,...
IB math studies 1. Ten students were asked for their average grade at the end of their last year...
IB math studies
1. Ten students were asked for their average grade at the end of their last year of high school and their average grade at the end of their last year at university. The results were put into a table as follows: Student High School grade, University grade, y 90 3.2 2.6 75 80 3.0 70 95 3.8 85 90 3.8 2.8 70 95 85 3.0 3.5 10 Total 835 30.4 (a) Given that s, 8.96, sy-0.610 and...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Answer all parts please. (calculus/contour/gradient/max/min)
The figure to the right shows the contours of a smooth function z = f(x,y) . a. 2 pes Label a point A on the contour graph where the gradient ofpoints in the same direction as-i+j. b. 2ps Label a point M on the contour graph where lgrad appears to be largest c. 4 pts Estimate the locations and values of the maximum and minimum of f(x, y) subject to the triangular constraint x+ys8, x20,...
IB math studies
1. Ten students were asked for their average grade at the end of their last year of high school and their average grade at the end of their last year at university. The results were put into a table as follows: Student High School grade, University grade, y 90 3.2 2.6 75 80 3.0 70 95 3.8 85 90 3.8 2.8 70 95 85 3.0 3.5 10 Total 835 30.4 (a) Given that s, 8.96, sy-0.610 and...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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