Given z = 2(x,y),X = x(s,t),y = y(s,t), and zx(-1,1)= 3, zy(-1,1)= 2, xs(-1,1)= -1, x,(-1,1)=...
in 3rd question it ask "z=z(x,y), if Z=x*f(y/x) proof x*Zx+y*Zy=z equation " and in 4th question it ask draw integration area, calculate the integration and change integration line. (x,y)–(0,0) x2 + y 3) = = z (x,y) olmak üzere z = xf (9) ise 2 tyzy = oldi 4 2 Dj sin (2²) dady 0 y/2
Consider z= sqrt(x^2+y^2). Give the domain and range. Draw the Zx and Zy traces in two separate plots. Draw contours for 3 different values of a constant Z=C. Then sketch in 3D, being sure to label your axes.
1.Z=f(x,y)=6x+7y where i) x=g(x)=x^2 y=h(x)=x^4 and ii )x=g(x)=x and y=h(x)=x^3. Please calculate Total derivative by applying this formula dZ=Zx dx/dx +Zy dy/dx
11. F (z, y, z)-(2c3 + уз) i + (уз + z3) j + 3уг z k, S is the surface of the solid bounded by the paraboloid z 1-2 -v2 and the zy-plane Answer 11. F (z, y, z)-(2c3 + уз) i + (уз + z3) j + 3уг z k, S is the surface of the solid bounded by the paraboloid z 1-2 -v2 and the zy-plane Answer 11. F (z, y, z)-(2c3 + уз) i + (уз...
1) Show that two lines are skew x+1 y+2 z+3 4:x=y=z and L: +7=5 2) Find the general equation of the plane containing the point P (1,2,3 ) and L, . 3) Find the point Q-the point of intersection the plane found in 2) and the line L. 4) Find the distance from the point (1,-1,2) to the line Lą.
410. [V] The transformation T.1.1: R3 R3, Tk,1,1 (u, v, w) = (x, y, z) of the form x = ku, y = 0, z = w, wherek #1 is a positive real number, is called a stretch if k > 1 and a compression if 0 <k < 1 in the x-direction. Use a CAS to evaluate the integral e-(4x2+9y?+252) dx dy dz on the solid S = {(x, y, z)|4x² +9y2 + 25z< 1} by considering the compression...
1. Identify the formula for predicting an individual's z score on the dependent variable from their z score on the independent variable. a.) (rxy)(zy) b.) (rxy)(zx) c.) zx/zy d.) (zx)(zy) 2. Data from the 1993 World Almanac and Book of Facts were used to predict the life expectancy for men in a country from the life expectancy of women in that country. The resulting regression equation was Yˆ = 9.32 + 0.79(X). Using the regression equation, what would you predict...
6-Let F(x, y,z) = yi - xj+zx°y?k. Evaluate (V x F) dS where S is the surfacex2232 = 1, z < 0 oriented by the upward- pointing unit normal. 6-Let F(x, y,z) = yi - xj+zx°y?k. Evaluate (V x F) dS where S is the surfacex2232 = 1, z
hlep me these 2 t, 3- 3 and (-2r, 3-, ) 11.) Determine the point of intersection of the lines Note:4,1,2, with (1,2/3,-1)^k(-2.-1,1)=kv;, for any kER. So .1,. Change one of the parameters to s, then equate the corresponding coordinates of the lines and solve for t, and s. substitute the values of t, and s in their respective lines to get the required point. Locate the point of intersection of the plane 2x+ y-z-0 and the line through (3,1,0)...
Transformation T:R' -»R',T(x,y, z) = (x+y,x-z)nd v=< 1,-1,2 > 8. ar iven B <1,1,1>,< 1,0,1 ><-1,0,1>},B^ = {<1,1>,<1,0 >},and B, = {<1,0>,< 1,1>} B to Biand from B to B2 a) Find the Transition matrix from b) Find v],T[v];,7[v] c) Find v,and [v]p d) What did you conclude? Transformation T:R' -»R',T(x,y, z) = (x+y,x-z)nd v= 8. ar iven B ,},B^ = {,},and B, = {,} B to Biand from B to B2 a) Find the Transition matrix from b) Find...