find the area between the curve y=x^2+1 and y=x(2-x). sketch a diagram of this area.
for what value(s) of n does y=x^n satisfy the differential equation: x^2(d^2y/dx^2)+5x(dy/dx)-21y=0
find the area between the curve y=x^2+1 and y=x(2-x). sketch a diagram of this area. for...
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.) Given: x=5cost and y=2sint a. Sketch a graph of the parametric curve by eliminating the parameter and Label orientation. Show all work. b. Determine dy/dx and d^2y/d^2x Show work and simplify your answers. Express answers in terms of “t”
Use a Riemann sum with n=2 rectangles to estimate the area under the curve f(x) =3x2 +1 on the interval between x = 1 and x = 5. Get the heights from the left hand sides. What is the value of this Riemann sum? It has been determined that the cost of producing a units of a certain item is 5x + 325. The price per item is related to x by the equation p = D(x) = 50 -...
hw help Consider the equation exin(y)+5x +1=y? Find dy dx in terms of X and y. Evaluate dx at (x,y) = (0,1). Select the correct answer. -5 5 ООО 2 Suppose that 3 xy2 = x²y + y2 + 14. dy Use implicit differentiation to find an expression for in terms of both X and y. dx dy Now give the value of when x = 3 and y = 2 dx -36 13 3 0 24 41 о ....
1. Find the equation of the curve passing through the point (1, 1) whose differential equation is (y - yx)dx + (x + xy)dy = 0 (10 marks)
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0 4. (a Let (sin( x cos( ) dr...
Find the area of the following region Sketch the bounding curves and the mopon in question The region in the fint quadrant bounded by y2 and y-2sin on the interval Choose the correct graph below OA OB OC OD Set up to Wegral hat will give the sea of the region. Choose the corect answer below OA 12 siny-2) dy OB sin-21 oc. Jaz 22 - 2 single OD 2 Click to set your ar Find the area of the...
find the function y=y(x) for x>0 which satisfies the seperable differential equation, dy/dx=(4+17x)/(xy^2), x>0, y(1)=3
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt 7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
2. a) The area between the curve y= Vx,0 5x Sa and the x axis rotates around the x axis. Determine the constant a so that the volume of the rotary body is 10 volume units. Y = -4 4 -X-2 1 b) Calculate the area of the shaded area in the figure (intersection points can be read from the graph). X-2