dy - 6x² 7. Find the expression for the curve y if di and the curve...
QUESTION 7 Differentiate implicitly to find dy dx Then find the slope of the curve at the point. x - = 1; (8,-4) OAB OB.-2 Oc4 00.- QUESTIONS Find the relative minimum or maximum. f(x) = x² +6x-3 OA(-3, -12) Os 3-12) Oç (3, -12) Op. 13,12)
5. Find a solution of a IVP consisting of the DE y-2 y=cie 3 6x+4, with solution 33 + coe-2x and initial conditions 1(1) 4, y'(1)-2 6. Given a direction field, sketch by hand an approximate solution curve that passes through a given initial condition (a) y(0) 0 (b) y(0) 2 5. Find a solution of a IVP consisting of the DE y-2 y=cie 3 6x+4, with solution 33 + coe-2x and initial conditions 1(1) 4, y'(1)-2 6. Given a...
Writing equations of lines parallel and perpendicular to a given... Consider the line y=-6x+5. Find the equation of the line that is parallel to this line and passes through the point (8, -4). Find the equation of the line that is perpendicular to this line and passes through the point (8, -4). Note that the ALEKS graphing calculator may be helpful in checking your answer. Equation of parallel line: e X Equation of perpendicular line: 1 ? Explanation Check 20:20...
(1 point) Find two linearly independent solutions of 2.2 y" – dy' + (-6x + 1)y = 0, 3 > 0 of the form Y1 = " (1 +212 + aza? + a38° +... Y2 = 2"? (1 + b 2 + b2x? + b3x3 + ...) where ri > 12. help (numbers) help (numbers) help (numbers) help (numbers) help (numbers) help (numbers) help (numbers) help (numbers)
dy Find the equation of the curve that passes through (-1, -3) if its slope is given by 18x2 - 8x for each x ya
6. (10 points) Find the equation of the line that is perpendicular to the line 6x - 4y = 3 and passes through the point (6,-1). (a) Find the slope of the given line 6x – 4y = 3. (b) What is the slope of a line that is perpendicular to the above line? (c) Now, find the equation of the perpendicular line that passes throu
8. Find a solution to the differential equation dy 6x + sinx - 2 cos x that satisfies y (0) = 1 dx
(1 point) Take the Laplace transform of the IVP dy -1 di - y= 0, y(0) = 6 Use Y for the Laplace transform of y, (not Y(s)). II So Y= S- and y(t) =
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)
Differentiate implicitly to find dy / dx. Then find the slope of the curve at the given point. x?y2 = 36, (3,-2) The slope of the curve at (3,-2) is (Simplify your answer.)