Kindly solve in 20 minutes and get the thumbs up please show me neat and clean work for it by hand solution neededKindly solve ASAP in the order to get positive feedback with hundred percent efficiency (a) Given is the function h(x, y) = (y − 1)(x + 1).(1) Draw the level curves for h(x, y) = c for c= -1,0, 1 in the zy-plane. Label curvesclearly with the appropriate value of c. Show all your working.(ii) In the drawing of the previous part, clearly mark points P₁ = (-1,3),= (-3,-1). Draw a direction in which h neither increases nor(P₁ = (-2, 1) and P₁ =decreases at P₁. Draw the gradient vector of h at P2. Draw the direction of the steepestdecrease at P3. Show your working and justify your choices.(b) Consider the following second-order differential equationd'y dy+ + y = 0.dx² dx(c)(i) Find the general solution of the equation.(ii) Use the general solution from part (i) to evaluate lim y(x).84+∞(iii) Find the particular solution satisfying y(0) = 0 and y' (0) = √3.Calculate the particular solution ofd'ydr²- (0) = 0.d³ ydx³= sin(x) with y(0) = 0, d (0) = 0 and=

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(b) Consider the following second-order differential equation d'y dy dr² (c) (i) Find the general solution of the equation. (ii) Use the general solution from part (i) to evaluate lim y(x). 8478 (iii) Find the particular solution satisfying y(0) = 0 and y' (0) = √√√3. Calculate the particular solution of d'y dr² + +y=0. da (0) = 0. d³y dr³ = sin(x) with y(0) = 0, dy (0) -(0)= = 0 and

(b) Consider the following second-order differential equation d'y dy dr² (c) (i) Find the general solution of the equation. (ii) Use the general solution from part (i) to evaluate lim y(x). 8478 (iii) Find the particular solution satisfying y(0) = 0 and y' (0) = √√√3. Calculate the particular solution of d'y dr² + +y=0. da (0) = 0. d³y dr³ = sin(x) with y(0) = 0, dy (0) -(0)= = 0 and

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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