(f) V = {x € R: In converges as noo}, W = R, T(x) = limn → In, I EV; (g) V =R%, W = R, T(x) = -1n, IEV;
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part F G
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- (a) Find the area in which region lies in first quadrant bounded by v=∛u ,u-axis and line v=u-n . Where n is last digit of your arid number for example if your arid number is 19-arid-1234 then n=4. Give geometrical representation (b) Find the concavity, point of inflection, of f(u)=e^-(u^n/n) Where n is your arid number for example if your arid number is 19-arid-1234 then n=1234. Also explain it geometrically.(a) Find all local extrema of the function f (x, y, z) = yz −3x2 −2x3. You do NOTneed to classify them.(b) Find the global extrema of f on the unit sphere x2 + y2 + z2 = 1. (Hint : UseLagrange multipliers.)(c) Find the global extrema of f on the closed unit ball x2 + y2 + z2 ≤1.Computing Jacobians Compute the Jacobian J(u, ν) of the followingtransformation. T: x = u + ν, y = u - ν
- Houriyya does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 10 hours. She spends at most 7 hours on weight training. She spends at most 12 hours doing cardiovascular work. Let x denote the time (in hours) that Houriyya spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.Computing Jacobians Compute the Jacobian J(u, ν) of the followingtransformation. T: x = 4u - ν, y = -2u + 3ν(a) Find the overlapping area of two equations also give its geometrical representation: u^2+v^2=n, u^2+(v-√n)^2=1 Where n is your arid number for example if your arid number is 19-arid-1234 then n=1234. (b) Find the points that touch the x axis of curve v=u^2+pu+(n+1). Where n is your arid number for example if your arid number is 19-arid-1234 then n=1234. Also find the equation of lines at that points give geometrical representation
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