Show all work OZ. at the point: (2, In 3, 4). (i.e. Use the ax 3....
3. In the following, consider z as a function of x and y, i.e., z = z(x, y) and use az az implicit differentiation to find the partial derivatives and ax ay (a) x2 + y2 + z2 = 3xyz (b) yz = ln(x + z)
Question 4 (1 point) Consider the ellipse. x² + xy + y2 = 3 Determine the derivative using implicit differentiation. You must show your work in the textbox below. An answer without work shown will not receive full credit. NW -3 bu -3 -2 -1 0 1 2
4. [0/8 Points) DETAILS PREVIOUS ANSWERS LARCALC11 2.5.045. Use implicit differentiation to find an equation of the tangent line to the ellipse at the given point. x2 y2 = 3, (5,-2) + 10 8 y = 2 X
Show all work IV Use Cramer's rule to solve the following problem with three (3) unknowns 2x+y-2z =-3 4x -2y + z = 16 X + 3y - 32 =-4
please show all work Use Lagrange multipliers to find the point on the given plane that is closest to the following point. X-Y+z=7; (4,8, 3) (x, y, 2) -( Submit Answer
please write clearly on paper and show all steps and circle the correct answer. Thank you! Use implicit differentiation to the curve ex+2y = x + xy +5. Then find the slope of the curve at the point (-2,1).
walk me through this a) Use the formula: k(x) to find the equation of the osculating circle for y In x at the point (1.0) 1+r732 The equation or the circle is: (x+(HS㎡+(y + (2/ b)Show that the osculating circle and the curve (y Inx) have the same first and decond derivative at the point (1.0). Note: findfor the circle using implicit dx differentiation for the circle: dy = 11 and For the curve: y Inx dy dx (1,0) a)...
Question 7 * Use implicit differentiation to find of the following curve at the point (1, 29). y= x + sin xy b- Show that as, is zero in two differentiation steps only f(x,y) = xey?/« axay - Show that ox ay is zero in three differentiation steps only. f(x,y) = y² + y(sin x - **). z = -1 Question 8 Let w = z - sin(xy) where x = at y = ln(t) Find dw/dt by:- 4. Using...
please show all work Directions: Show all work. No credit can be given without proper justification. 1. Solve the initial value problem (a) (3 points) " - 9x = 82(t); (0) = x'(0) = 0 (b) (3 points) " + 16x = 8(t) + cos(t); (0) = x'(0) = 0
20. Solve the following logarithmic equation for the unknown variable and show all work. 3 loga * -log125 = 0. [5 Points). 21. The following graphs show the scatterplot relationships for two different sets of data. Describe each graph as Linear or Non-Linear by circling the correct choice. For each graph also choose which regression equation would be the best choice to use for developing a mathematical model to describe the data, i.e. y=mx+b y=ax? +bx+c y=ca'. [4 Points). Linear...