Show that the line with equation 2x-5y-1=0 is perpendicular to the line with equation 4y+10x=3.
Show that the line with equation 2x-5y-1=0 is perpendicular to the line with equation 4y+10x=3.
Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line 2x + 5y 6 = 0 Need Help? Talk to a Tutor Read It Find an equation of the line that passes through the point (4, 2) and is perpendicular to the line 2x + 5y 6 = 0 Need Help? Talk to a Tutor Read It
y^2-3x-4y-1=0 3. Find the equation of the tangent line and the equation of the perpendicular line to the curve y? - 3x - 4y - 1 = 0 at (-2, 1) at the given point. 2 marks.
Find the equation of the line passing through (5,− 3) and perpendicular to the line 2x + 3y = 7 . Find the equation of the line passing through (5, 2) and (− 3, 2) . Graph the following functions and find the x − intercept, y - intercept, slope in each case. 7x − 4y = 10 2y − x − 1 = 0
2. Find the equation of a line which is perpendicular to the line 2x-y=4 and include P(3,4) 3. Find the equation of a cirle with the radius 3 and the center (1,-1) 2.5 4. Find the radius and the center of the following cicle equation 05 x² + y² - 2x + 4y - 4 = 0 1. GÖ
Minimize the objective function 1/2x+3/4y subject to the constraints (In graph form please) 2x+2y>=8 3x+5y>=16 x>=0, y>=0
1. Solve the equation y" + 4y' + 5y = 0 with the initial conditions y(0) = /2, y'(0) = -5.
Two linearly independent solutions of the differential equation y" + 4y' + 5y = 0 are Select the correct answer. a. Y1 = e-cos(2x), y2 = eʼsin (2x) b. Y1 = e-*, y2 = e-S* c. Yi= e-*cos(2x), y1=e-* sin(2x) d. Y1 = e-2xcosx, x, y2 = e–2*sinx e. Y1 = e', y2 = 5x
Two linearly independent solutions of the differential y" - 4y' + 5y = 0 equation are Select the correct answer. 7 Oa yı = e-*cos(2x), Y1 = e-*sin(2x) Ob. Y1 = et, y2 = ex Oc. yı = e cos(2x), y2 = e* sin(2x) Od. yı=e2*cosx, y2 = e2*sinx Oe. y = e-*, y2 = e-S*
Question 5 < > Given the differential equation y' + 5y' + 4y = 0, y(0) = 2, y'(0) = 1 Apply the Laplace Transform and solve for Y(8) = L{y} Y(s) = Now solve the IVP by using the inverse Laplace Transform y(t) = L-'{Y(s)} g(t) =
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