(2) The area of the surface with equation z = f(x,y). (x,y) E D. where fra f, are continuous, is A(S) = SVGC3. y)]? + [f;(x, y)]? +T dA If you attempt to use Formula 2 to find the area of the top half of the sphere x + y2 + 2? = a, you have a slight problem because the double integral is improper. In fact, the integrand has an infinite discontinuity at every point of the boundary circle...
The functions of f and g are given. Evaluate f o g and find the domain of the composite function f o g. Test: Unit Test #1-Algebra This Question: 1 pt The functions fand g are given. Evaluate fo g and find the domain of th 2 5 fx) x+1 900)-x ()(Simplify your answer.) The domain of f g is (Type your answer in interval notation.) Ente
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Given f(x) = 2x + 3 and g(x) = x^2 Find f(x) + g(x) f(x) - g(x) f(x) · g(x) f(x) / g(x) f(g(x)) g(f(x)) Given f(x) = x^2 + 2x -1 and g(x) = 3x Evaluate f(2) g(9) f(g(4) g(f(4))
Suppose that f(2) = -3, 9(2) = 4, f'(2) = -5, and g(2) = 1. Find h'(2). (a) h(x) = 3f(x) - 2g(x) h'(2) h(x) = f(x)g(x) (b) h'(2) (c) h(x) = f(x) g(x) h'(2) (d) h(x) g(x) 1 + f(x) h'(2)
Let f(x) be the recurrence relation defined by fn=fn-12+nfn-2 for n≥2 f0=3 f1=-1 Find f(3)
9. If f(x) = x2 - 6x + 2 and g(x) = -2x, find a. f.g(2) b. g•f(x)
Suppose that f(5) = 1, f '(5) = 8, g(5) = −9, and g'(5) = 2. Suppose that f(5)-1, f(5) 8, g(5) =-9, and g'(5) = 2. Find the following values (a) (fg)'S) (c) (g/0(5) Suppose that f(5)-1, f(5) 8, g(5) =-9, and g'(5) = 2. Find the following values (a) (fg)'S) (c) (g/0(5)
Find f+g, f-g, fg, and f/g and their domains. f(x) = 4 – x, g(x) = x2 – 3x Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (f - g)(x). Find the domain of (f - g)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (6)«). Find the domain of (x). (Enter your answer using interval notation.) Consider...
(11) Let (,A. /) be a measure space. Let g 2 - R* be a measurable function which is integrable on a set A E A. Let f, : O -> R* be a sequence of measurable functions such that g(x) < fn(x) < fn+1(x), for all E A and n E N. Prove that lim fn d lim fn du noo A (11) Let (,A. /) be a measure space. Let g 2 - R* be a measurable function...