Q1) Q2) X Incorrect. Find the area of the region between y = – x2 +...
Find the total area of the region between the curve and the x-axis. y = x2 - 6x + 9; 2 sx54
3. (10 pts) Find the area of the region bounded between y = xe-*?, , y = x + 1, x = 2 and the y-axis. Note that the graph of the region is provided below. You can leave your answer in terms of e. y=x+1 x2 X-0 0 0.5 1. 0 dy Use the Fundamental Theorem of Calculus to find dx for y = = L* sin (t2)dt.
y = x2 double integral of the area of the y = 4x - x? region bounded by parabolas Calculate with the help of
Evaluate the integral [~ /36+? Sx 736+X?dx=0 Find the area of the region enclosed by the curves y=x2 - 4x and y= -x2 + 4x The area of the region enclosed by the curves is (Type an integer or a simplified fraction.) Use l'Hôpital's rule to find the following limit. 10 In (x-9) x 10+ - (4-10_16->) - ] (ype an integer or lim- (Type an integer or a simplified fraction.) x - 10 In (x-9) X10+
1. (1 point) Evaluate the integral using the FTC 1 Answer(s) submitted: (incorrect) 2. (1 point) Calculate the derivative: Answer(s) submitted. (incorrect) 3. (1 point) Find area of the region u 3x3-5 and above the x-axis, for 2 nder the curve y 4. x area Answerfs) submitted: incorrect) 4. (1 point) The value of (x+5)2dx is 0. Answerts) submitted (incorrect) 5. (1 point) The value of ^ ^dx i Answerts) submitted: (incorrect) 6. (1 point) Evaluate the definite integral (16-x*)dx...
Find the area of the region between curves 1. Find Find the area of the region between curves by rotating about x-axis the region in the x,y- plane bounded below and above, respectively, by the curves: a. y = 2x2, y = 4x + 16 b. x = -y2 + 10, x = (y – 2) I
1. (5 points) Find the area of the region enclosed by a parabola y x2 - 4x - 5 and a line y = x-5. To get full credit, you must draw a picture of the problem first, then find the upper and lower bounds before finding the area. (2 42 points each) Use appropriate logarithmic properties to make the following equation easy to dy or you differentiate. Find (dx and use trig identities to simplify to the simplest answer...
Area between the curve problems 1. Find the area between y 1/x, y 1/x2 and x 2 2. Find the area between y 8-x2, y x2, x -3 and 3. 3. Find (approximately) the area between y r cos (2) and y 1. Find the area between y 1/x, y 1/x2 and x 2 2. Find the area between y 8-x2, y x2, x -3 and 3. 3. Find (approximately) the area between y r cos (2) and y
1. Use the method of cylindrical shells to find the volume of the following solids rotation (i) Spin the region bound by y -Vx,y 0, x-1 around the y-axis; (ii) Twist the area bound by x -1+(y-2)2 andx- 2 about the x-axis; (iii) Rotate the region between y - x2 and y -6x-2x2 around the y-axis; (iv) Twirl the space between y V and x 2y about the line x 5 2. Use both methods discussed in class to compute...
practice 1. Find the area of the region bounded by the curves. y= x2 - 4x, y = 2x