Use implicit differentiation to find y' and evaluate y'at (-1,-6). 9xy + y-48 = 0 y' = Evaluate y' at (-1,-6). y'l(-1,-6)=0 (Simplify your answer.) Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) = x + 10x + 21 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer using interval...
1. Suppose E[X]-2 and E Y]-1. Evaluate the followings: a) E3X ] b) EX 2Y] c)
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U. + 2y + y + 1 -e: y(0) = 0, y'(o) - 2 In Problems 31-36, determine the form of a particular solution for the differential equation. Do not solve. 31. y" + y = sin : + i cos + + 10' 32. y" - y = 2+ + te? + 1221 x" - x' - 2x = e' cos - + cost y" + 5y' + 6y = sin t - cos 2t 35. y" –...
JJ JR 3. Let R be the first-quadrant region bounded by the circles a2 y 4r, 2y10z and the 6y. Use the transformation -2y, 2 y circles a2 +y and r2 + y r2 + y deimegal ll.rdpdrdy to evaluate the i
JJ JR 3. Let R be the first-quadrant region bounded by the circles a2 y 4r, 2y10z and the 6y. Use the transformation -2y, 2 y circles a2 +y and r2 + y r2 + y deimegal ll.rdpdrdy...
Use row operations on an augmented matrix to solve the following system of equations. X+ y- z = 20 - x + 3y - 2 = 18 3x + 2y - 2z = 47 Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. O A. The solution set is {C}. (Simplify your answers. Type an integer or a simplified fraction.) OB. There are infinitely many solutions. The solution set is the set...
1. Solve the ODE/TVP: y" +2y'+y=5(1-2),y(0)-0.7(0) =0. Use the Convolution Theorem everywhere possible, in parts (b) and (c). (a) Find Y(s), the Laplace Transform of y(t), (b) Express y(t) in terms of the convolution product ONLY with explicit functions of t, e.g., f(t)-g(t) or f(t) g(t) * h(t), but do not evaluate any of the convolution product(s); (c) Obtain y(t) by working out completely the convolution product(s) in part (b), show all your intermediate work and results, and simplify your...
Solve the following system of equations. X+ y+ z- w = 4 3x + y- z+ w = 10 x- 4y + 32+ w = -5 -x- y+ 2+ 4w = 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution is ). (Type integers or simplified fractions.) O B. There are infinitely many solutions. The solutions are ( (Type integers or simplified fractions.)...
4x - 162= 56 2x - 3y - 3z = 31 2x+ 2y - 3z = 1 2x + 2y + 2z = - 14 Select the correct choice below and, if necessary, fill in the answer boxes to complete your ch O A. 16 x= 4, y = 3.za 2 (Type integers or fractions.) OB. X=ry Z= (Type integers or tractions.) OC. There is no solution
10. Let E be the tetrahedron bounded by the planes 2x +2y +2=6,1 = 0, y = 0, and 2 = 0. Express the following integral as an iterated double integral. Do not evaluate. SIS 6.ry dy
Write the following equation in slope-intercept form and identify the slope and y-intercept. 5x-2y 3 The equation in slope-intercept form is y- (Simplify your answer. Type in the form y mx+b. Use integers or fractions for any numbers in the expression.) Enter your answer in the answer box and then click Check Answer.