13:21 ج 11. Х Exam#1.pdf 11 Ethel 21 Find the areas of the shaded regions 3)...
Find the total areas of the shaded regions 0 1 5 3 A) B) 5 3 6 2 D)= 2 P) = 6) = 2 G) = 2 H) = 4
Find the probability that Х falls in the shaded area. Х 0 1 2 3 4 5 6 7 8 9 10
Exam#2 Math185_GWC, Spring 2019 Lshells (for all parts a, b and e) to find the v -x2 + 1 , y-19-х", x-0, fix > 0 5) (16 points) Use the method of evlindrical shells (for all partis 19Xx the solid obtained by rotating the region bounded by y about on bounded byay -llparts y b and c to find (5 points) a. the y-axis. (Set up the integral to find the volume, but do not evaluate) (4 points) the line...
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...
Please answer with work
Find the area of the shaded region. 13) 13) y (0,4) y = 4 *२ 3 X (3,-5) A) 3 B) ၌ B) C) c) 33 23 3 D) 5
11. Evaluate S. 'S*(1 + 3x2 + 2y?) dx dy. 12. Find the volume in the first octant of the solid bounded by the cylinder y2 + z2 = 4 and the plane x = 2y. Graph for Problem 12 13. Find the volume under the paraboloid z = 4 - x2 - y2 and above the xy-plane. N Consider the solid region bounded above by the sphere x + y + z = 8 and bounded below by the...
3. For the following composite area shown below. Shaded regions have material while white regions are empty. Include proper units. a. Find the location of the centroid measured from the shown X and Y axes. b. Calculate the moment of inertia and radius of gyration about the indicated axes Yc centroidal Ixe = bh?/12 and Iye = hb/12 h Xc b Yc centroidal Ixe = 1 r*/4 and lye - r*/4 Xc KX - Ky = Lt 2" 6" X=...
sketch of the curve y = x3-6x2 + 11-6 is shown below: 3. A -6 a) Shade the regions with areas given by: b) Find the values of these two areas. c) Find the value of fx'-6x 1x -6 d d) What does this, taken together with one of your answers to part b), indicate to 1.5 you about the position of the maximum point between x 1 andx 2?
sketch of the curve y = x3-6x2 + 11-6 is...
Statics
3. For the following composite area shown below. Shaded regions have material while white regions are empty. Include proper units. a. Find the location of the centroid measured from the shown X and Y axes. b. Calculate the moment of inertia and radius of gyration about the indicated axes Yc centroidal Ixe = bh?/12 and lyc = hb?/12 h Xc b Yc centroidal Ixe = r4/4 and Iye = 1r4/4 Xc ka nga X- Y- 8" (5 points) (5...
In Problems 3-6, find the critical point set for the given system. dx 4. dx = x-y, 3. dt y1 dt dy dy = x2 y2 - 1 dt = x + y + 5 dt dx dx x2- 2xy y2- 3y 2 6. 5. dt dt dy dy 3xy - y2 (x- 1)(y 2) dt dt