solve #1 & #2 with work please MAT 149 delete Worksheet #2 April 2020 Clearly designate...
2. Evaluate the following indefinite integrals: (a) vel V=(x+2) dx ET (b) 3. Evaluate the following definite integrals: (a) cos(x) da (sin(x) +18 (b) COS 4. The graph of y=g(t) is shown below, and consists of semicircles and line segments. y=g() -1 3 6 596 s(t) dt Define the function f(x) by f(x)= Use the graph of y = g(t) and the properties of the definite integral to find: (a) the value of (i) f(3) (ii) f(-1) (iii) 1'(6) (b)...
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...
only number 5-7. Just set up no solve. show all work 1) Rotate the area bound by f(x): 2x + 1, y : O, x-1, and x : 4 around the x- 2) Rotate the area bound by y : x2 , y :0, and x-2 around the y-axis. #3-7: Draw a graph and setup the integral, including boundaries for determin the solid created. You do NOT need to evaluate the integrals. 3) Rotate the area bound byy and ya...
m 2020 Show all work for full credit. Clearly mark answers. Include units where appropriate. 1. For f(x)=sin(x)], use your knowledge of sine and absolute value to write as a piecewise function for the x-values-21 SxS 2, by first considering where the sine function is positive and negative. Then graph / 3 3. -2 SX<- -2.x 0 2x 2 2 2 -ASX 0 f(x) = OSYA f(x) SXS 2. X tele AT 0:5 -2 -371/2 2 0 T12 31/2 2m...
PLEASE SOLVE NUMBER 3 AND SHOW ALL WORK 1.Find the particular implci solution to the difterential equatiothat satisfies the condition 1. Find the particular implicit solution to the differential equation dx y y(7)- v5. Sketch a graph of your solution. 2. Write and solve the differential equation the models the verbal statement. Simplify the explicit solution. Temperature of the body and the constant temperature of its surrounding medium M." of a body is directly proportional to the difference in the...
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. 4. Write an iterated integral for SSSo flexy.z)dV where D is a sphere of radius 3 centered at (0,0,0). Use the order dx dz dy. Choose the correct answer below. 3 3 3 OA. S S f(x,y,z) dx dz dy -3 -3 -3 3 OB. S 19-x2 19-32-22 s f(x,y,z) dy dz dx 19-x2 - 19-2-22 s -3 3 3 3 oc. S S [ f(x,y,z) dy dz dx...
Need help with problems 1) b) ii), 2) b) and c), and 3) c) please! MAT All about Given a general line y mx + b, convert to polar coordinates and solve for r. Check your answer with Desmos (add sliders for b, m). 1) a) rG b-mccre)- r -mces =Fcese, y=rtnb rsin6= mreese +h int-mr b Assume m<0 so that the line, the y-axis, and x-axis enclose a triangular area: b) Area e Xheigh) Use geometry to determine a...
1. (algebra review) Solve the equation 3x'z+4x-e'z+5z-sin(x) for z. Clearly show your work and thinking. 2. (algebra review) Solve the equation sin(o)('y+21)-y'+5-ycos() for y. Clearly show your work and thinking. dy 2 + y2|and difference between the meanings of the symbols d and x2+yj 4. Explain the difference between writing. That is, explain the dx dxdx 1. (algebra review) Solve the equation 3x'z+4x-e'z+5z-sin(x) for z. Clearly show your work and thinking. 2. (algebra review) Solve the equation sin(o)('y+21)-y'+5-ycos() for y....
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...