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explain in details please In all of the questions below, all of the integrals need to...
can younplease answer all of these i need it for a review please u-x+y, V--2x+y S S 5ydx dy R where is the parallelogram bounded by the lines y=-x+1, y=-x +4, y = 2x + 2, y = 2x + 5 o Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral. The coordinate axes and the line § 35 dy dx x/3 5(1 - x/3) dy dx °? I ddy of...
Please help with 1-10 and please show all work thanks. Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...
cannot figure out how to write the integrals for this problem #2 1. If glx) -2x and fx) - , find the area of the region enclosed by the two graphs. Show a work for full credit. (4 pts) 2. A:12-80% 3 3 2 Let fix)-. Let R be the region in the first quadrant bounded by the gruph of y - f(x) and the vertical line x # l, as shown in the figure above. (a) Write but do...
help thx Carrer Grade 0.07 10.0 Remaining Time Online Below is the graph of y=z3 and y = 0 0.5 -0.5 0 0.5 1 -96 -1 1 (a) The area bounded by 3 and y=0 is given by the sum of these two integrals (Enter the integral with the smaller bounds of integration first 6 sin(a) 12 IM a 12 in the equation editor, select and then dy to enter the integral) ON (b) Find the exact value of the...
3. (A) (Change of Variables) Evaluate the following integrals by making appropriate change of variables. (a) // sin(x2 + y2) dA, where R is the region in the first quadrant bounded by the circle x2 + y2 = 5. YdA, where R is the parallelogram enclosed by the four lines 3. -Y x - 2y = 0, 2 - 2y = 4, 3.x - y = 1, and 3.c - y = 8. zevky / dA, where R is the...
How to solve this whole question? 1 and r2 + y2 = 4 for 4. (a) Consider the region, R, bounded by the curves _ = 3c + 4y2 y 2 0. Using a double integral determine the volume under the surface and above the region R. Sketch the region of integration R. (b) Express the double integral (or integrals) that defines the area of domain of integra- tion R, where the inner integration is defined over the y-variable (c)...
1. Evaluate the iterated integrals: x2+2x+y a. JR 3x+3y dA, R: 15x32,0 sys 1 (Hint: Simplify the integrand first.) b. S ey/*dA where R is the region in the xy-plane bounded between y = x2 and y = x over the interval 1sx52. c. So Sex Sx**2 x dydzdx
Please solve with detailed expplanation and graphs. Thank you! 8. Set up the following integrals in whatever coordinate system is most appropriate; use symmetry to simplify the integral if possible. You do not need to evaluate the integrals. ry+xz+yz) dV, where A is the region bounded by + y2 = 16 and the planes 2 = 0 and 2 = 4-y. -2 +32°) dV, where B is the region bounded by y = 4 - x, and the planes y...
5 pts) Consider the region bounded by the curves y 9, y and r 1 r-+64 If this region is revolved around the x - axis, the volume of the resulting solid can be computed in (at least) two different ways using integrals. (Sketching the graph of the situation m (a) First of all it can be computed as a single integral h(r)dr where o and This method is commonly called the method of Enter 'DW' for Disks/Washers or 'CS...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...