4: Find the angle between the vectors. f(x) = x; g(x) = x2, where (5.9) =...
Find the angle θ between the vectors. u = (1, 1, 1), v = (2, -3, 4), <u, v> = u1v1 + 2u2V2 + u3v3 θ = _______ Find the angle θ between the vectors. (Round your answer to two decimal places.) p(X) = 1 - x - x2, q(x) = 1 - x + x2, <p, q> = a0b0 + a1b1 + a2b2
Find the angle between f (x) = x and g(x) = ex if the vector space is measured by the given inner product. Give the result in radians and round to 3 decimals. (f,g) = So f()g()dx
(f) If a and b are unit vectors and θ is the angle between them. prove that sin -b Prove that v2·“2 + 2,6 , where the symbol's h) have their usual meanings 12. Find the following dx dx tan'xdx (i) 1+cos x 13 Find the area enclosed between the circle 2y25 and the straight line x +y- s 14. Solve the following equations dy dy dy dx (f) If a and b are unit vectors and θ is the...
Find the angle between f(x) = x and g(2) = ed if the vector space is measured by the given inner product. Give the result in radians and round to 3 decimals. (f,g) = So f(x)g(x)dx
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
11) Fin 12) If f(x) = 3x-5 and g(x) = x2 +3x-1, find f(f(x)), g(g(x)), f(g(x)), and g(f(x)) 17 find the eyart value of siny if x is an angle in standard position whose terminal side conta
Use the inner product <f,g>=∫10f(x)g(x)dx in the vector space C0[0,1] to find <f,g>, ||f||, ||g||, and the angle θf,g between f(x) and g(x) for f(x)=5x2−9 and g(x)=−9x+2.
Let f(x)=x2+4 and g(x)=3x−6. Find a formula for f(g(x)) in terms of x.
5) In C.), with inner product <f,g> [f(x)g(x)dx, let f(x) = x², g(x)= x', a) Compute< x², x? >; 0 b) Find the “angle” between the two functions.
5) In Coul, with inner product < f g >= $(x)g(x)dx, let f(x) = x”,g(x) = x, a) Compute< x,x?>; b) Find the "angle" between the two functions.