33,39 y 2.192 when x = 2.4 and z = 2.25. 32. n is jointly proportional...
Solving variation problem 5. Let a be directly proportional to m and n2, and inversely proportional to y3. If a9 when m 4,n-9, and y - 3, find a when m-6,n2, and y -5. 7. Current Flow In electric current flow, it is found that the resistance offered by a fixed length of wire of a given material varies inversely as the square of the diameter of the wire. If a wire 0.01 in. in diameter has a resistance of...
10) If y varies directly with x and inversely with z, and y is 64 when x is 8 and z is 2, what is y when x is 5 and z is 3?
If y varies directly with x3 and inversely with z, and y is 64 when x is 8 and z is 2, what is y when x is 5 and z is 3?
t varies directly as the square root of l. If l=81, then t=10 what is the constant proportion?1. a is directly proportional to b. If a = 15, then b = 92. M varies directly as n. If n = 2/3, then m = 1/43. T varies as the square root of L. If L = 81, then T = 104. Z is proportional to the cube of d. If d = 2 then z = 55. f varies directly...
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proportional to the distance from P to the origin and 8(o, 3,02 15 pts] (0, 1,0)-2/m3 from P to the origin and Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2...
3 Suppose that y is directly proportional to x, and y = 3 when x = 4. If x = 2, then what is y? 4 The graph of polynomial function f(x) = a(x - 1)²(x + 2) Passes through the point (2, 3). Find the value of a.
Let A-g's, u, v, w, x, y, z), B {q, s, y, z,C-{v, w, x, y, z), and D-6. Specify the following set. 9) Cu B 10) An B
Let X, Y, and Z be jointly continuous random variables. Assume that all conditional PDFs and expectations are well defined. E.g., when conditioning on X=x, assume that x is such that fx(x)>0. For each one of the following formulas, state whether it is true for all choices of the function g or false (i.e., not true for all choices of g). Let X, Y, and Z be jointly continuous random variables. Assume that all conditional PDFs and expectations are well...
12. Let g(x), h(y) and p(z) be functions and define f(x, y, z) = g(x)h(y)p(2). Let R= = {(x, y, z) E R3: a < x <b,c sy <d, eszsf} where a, b, c, d, e and f are constants. Prove the following result SS1, 5100,2)AV = L*()dx ["Mwdy ['Plzdz.
3 z 2 z Dasher (D) Y N Y z Prancer (P) Y N Y z Vixen (V) N Y N N N Comet (C) Y N N N z Rudolph (R) Y N Y N Y Blitzen (B) Y Y N z z For cladistics purposes Rudolph will be considered the OUTGROUPSEre he is the OLDEST 1 2 3 4 6 YELLOW CELLS BELOW PLACE YOUR ANSWERS BELOW IN THE 1 5 1 R 7 N 3 8 (D,...