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Calculus (MindTap Course List)
- Using the method of u-substitution, Se (6x - 8) dx = = [₁ f where U= du = a= b= f(u) = f(u) du (enter a function of x) da (enter a function of x) (enter a number) (enter a number) (enter a function of u). The value of the original integral is Note: You can earn full credit if the last answer box is correct and all other answer boxes are either blank or correct. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email Instructorarrow_forwardEvalule the Integral -3x dz |arrow_forwardODE (3x-2y+1) dx+(3x-2y+3) dy=0arrow_forward
- Existence. Integrate the function f(x, y) = 1/(1 - x²- y²) over the disk x²+ y² ≤ 3/4. Does the integral of f(x, y) exist over the disk x²+ y² ≤ 1? Justify your answer.arrow_forwardTutorial Exercise Write as a single integral in the form f(x) dx. f(x) dx + dx f(x) dx -5 Part 1 of 3 We know that for asbsc, f(x) dx + f(x) dx = f(x) dx. -5s1s 2, Using the first and second integrals, since we have dx + f(x) dx = f(x) dx. -5arrow_forwardCalculus IIarrow_forward
- Finding the work done in moving an object. Work Done by a Variable Force Along a Line. If a variable force F(x) moves an object in a positive direction along the r-axis from z = a to z = b, then the work done on the object is = [ F(=) dz W = Part 1. Setup the integral that will give the work done by a constant force, F = 12 lb, in moving a chair (along a line) a distance of 7 feet. W = Note: Assume that initial position of the chair is at z = 0. Part 2. Calculate the done by the force described above. w = foot-pounds. Note: enter your answer as an exact value without using decimals.arrow_forwardIntegration by poartsarrow_forwardSurface Area The roof over the stage of an open air theater at a theme park is modeled by f(x, y) = 25[1 + e−(x2+y2)1000 cos2(x2 + y2/ 1000 )] where the stage is a semicircle bounded by the graphs of y = √502 − x2 and y = 0. Use a computer algebra system to approximate the number of square feet of roofing required to cover the surface.arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning