NettetProblems: 1. Cis the line segment from (1;3) to (5; 2), compute Z C ... Cis the upper half of the circle of radius 2 from (2;0) to ( 2;0), compute Z C yds. Solutions: 1. (a) … NettetExercise 3.3 . 1. Calculate consumer’s surplus if the demand function p = 50 − 2x and x = 20. 2. Calculate consumer’s surplus if the demand function p = 122 − 5x − 2x 2 and x = 6. 3. The demand function p = 85 − 5x and supply function p = 3x − 35 . Calculate the equilibrium price and quantity demanded .Also calculate consumer’s surplus.
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NettetExample 1. Find the integral of e 3x. Solution: ∫ d/dx(f(x)) = ∫ d/dx( e 3x) We know this is of the form of integral, ∫ d/dx( e ax) = 1/a e ax + C. ∫ d/dx( e 3x) = 1/3 e 3x + C. Answer: … Nettet1. aug. 2024 · 17.2: Centroids of Areas via Integration. The centroid of an area can be thought of as the geometric center of that area. The location of the centroid is often denoted with a C with the coordinates being (ˉx, ˉy), denoting that they are the average x and y coordinate for the area. If an area was represented as a thin, uniform plate, then … high chloride and low bicarbonate
Integrals: Problems with Solutions - math10.com
Nettet26. jul. 2024 · Rectilinear motion problems deal with an object that moves laterally, or horizontally. The object can be moving along the ground or at any other height, as long as it’s moving horizontally. We call this type of motion “rectilinear” motion. Problems like these require you to know the relationship bet Nettet6 Green’s theorem allows to express the coordinates of the centroid= center of mass Z Z G x dA/A, Z Z G y dA/A) using line integrals. With the vector field F~ = h0,x2i we have Z Z G x dA = Z C F~ dr .~ 7 An important application of Green is the computation of area. Take a vector field like F~(x,y) = hP,Qi = h−y,0i or F~(x,y) = h0,xi which has vorticity … NettetAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ... how far is titania from earth