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Chapter 13 Solutions
Calculus: Early Transcendentals (2nd Edition)
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- 1-sine r2 cose dr de Evaluate the iterated integrals 1 2 3.arrow_forwardWHite the veD secsand orde equation as is equivalent svstem of hirst order equations. u" +7.5z - 3.5u = -4 sin(3t), u(1) = -8, u'(1) -6.5 Use v to represent the "velocity fumerion", ie.v =(). Use o and u for the rwo functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) +7.5v+3.5u-4 sin 3t Now write the system using matrices: dt 3.5 7.5 4 sin(3t) and the initial value for the vector valued function is: u(1) v(1) 3.5arrow_forwardEvaluate the iterated integral. 3 (5х + 3у) dx dy 3 4 (5х + Зу) dx dy %3 iarrow_forward
- Triple integral in cylindrical coordinates is given by 2π 2 Υ r?dz dr de 0 0 (i) Evaluate the triple integral. (ii) Convert the integral to spherical coordinates. (Do not evaluate).arrow_forwardShow that the differential form in the integral below is exact. Then evaluate the integral. (5,-3,3) S 12x dx + 10y dy + 4z dz (0,0,0) Select the correct choice below and fill in any answer boxes within your choice. O A. (5,-3,3) S (0,0,0) (Simplify your answer. Type an exact answer.) 12x dx + 10y dy + 4z dz =arrow_forwardSOLVE STEP BY STEP IN DIGITAL FORMAT Apply Green's theorem to obtain the result of the line integral - (7x²y — 4x)dy + (8xy³ − x²y ) dx - The integral starts at the origin so the value of y=0. Then it gets to the point (7,0) and moves to (7,4), so the value of x=7. Then it goes from the point (7,4) to the point (0,4) to the initial point (0,0), being in that last part x=0. That is, the limits of x will be from 0 to 7 and the limits of y will be from 0 to 4.arrow_forward
- sinx +x sinx +e COsx - e The integral dx may be written as me nsinx +px+qe"* + C. where m, n, p, q, r, and C are constants not equal to e sinx zero. Evaluate m +n+p+q+r. A -5 B 5 D) 3arrow_forwardintegral et sin (t-s) dsarrow_forwardConverting from Rectangular Coordinates to Spherical Coordinates Convert the following integral into spherical coordinates: y=3 x=√√9-y²z=√√/18-x²-y² , , x=0 y=0 [ (x² + y² + z²) dz dx dy. z=√√/x² + y²arrow_forward
- (2) Evaluate the iterated integral by converting to polar coordinates. 1 Vx-x2 || (x² + y²) dx dyarrow_forwardsinx cosx - e +e sinx +* The integral dx may be written as me nsinx +px+ qe™ + C, sinx where m, n, p, q, r, and C are constants not equal to zero. Evaluate m+n+p+q +r.arrow_forwardEvaluate the triple iterated integral. '2 xyz dx dy dz -1 Viewing Saved Work Revert to Submit Answerarrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
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