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- https://www.webassign.net/cgi-perl/symimage.cgi?expr=int_0%5E%28pi%5C%2F4%29%20int_0%5E%285%29%20r%5E2%20sin%28theta%29%20cos%28theta%29%20text%28%20%29dr%20text%28%20%29dthetaShow that(i × j) × j = i × (j × j)Conclude that the Associative Law does not hold for cross products.Evaluate ∭B ze x+y dV where B is the box determined by0≤x≤5, 0≤y≤1, and 0≤z≤4The value is
- Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.Calculate az/ax, where xez + zeY = x + y.Let Bold uuequals=negative Bold i minus Bold j−i−j, Bold vvequals=3 Bold i minus 5 Bold j3i−5j, and Bold wwequals=negative 4 Bold j−4j. Find 55Bold uutimes•(22Bold vvminus−33Bold ww). Question content area bottom Part 1 55Bold uutimes•(22Bold vvminus−33Bold ww)equals=enter your response here (Simplify your answer.)
- Given:z=x4+xy2, x=uv4+w3, y=u+vewz=x4+xy2, x=uv4+w3, y=u+vewFind ∂z∂v∂z∂v when u=−2, v=2, w=0u=-2, v=2, w=0I neeed help with all parts of this quesiton 4The article cited in Exercise 20 also gave the followingvalues of the variables y 5 number of culs-de-sac andz 5 number of intersections:y 1 0 1 0 0 2 0 1 1 1 2 1 0 0 1 1 0 1 1z 1 8 6 1 1 5 3 0 0 4 4 0 0 1 2 1 4 0 4y 1 1 0 0 0 1 1 2 0 1 2 2 1 1 0 2 1 1 0z 0 3 0 1 1 0 1 3 2 4 6 6 0 1 1 8 3 3 5y 1 5 0 3 0 1 1 0 0z 0 5 2 3 1 0 0 0 3a. Construct a histogram for the y data. What proportionof these subdivisions had no culs-de-sac? Atleast one cul-de-sac?b. Construct a histogram for the z data. What proportionof these subdivisions had at most five intersections?Fewer than five intersections?
- А bаkеry sеlls сhосоlаtе, сіոոаmоո, аոԁ рlаіո ԁоughոuts аոԁ аt а раrtісulаr tіmе hаs 8 сhосоlаtе, 6 сіոոаmоո, аոԁ 5 рlаіո. Іf а bох соոtаіոs 12 ԁоughոuts, hоw mаոy ԁіffеrеոt орtіоոs аrе thеrе fоr а bох оf ԁоughոuts?Consider a lamina that is in the first quadrant, inside the circle whose equation is x2 + y2 = 4, and outside the circle whose equation is (x − 1)2 + y2 = 1. Using polar coordinates, find the mass of the lamina if the density at each point is δ(x, y) = y2. Determine if each of the statements below is true or false. If a statement is true then prove it. Otherwise, provide a counterexample. Vz eR By ER zy=y. By e R Vz E R: ry = x.