The x- intercept of the line is (-4, 0)
y-intercept of the line is (0, -4)
So equation of the line is
i.e., x+y = - 4 [ multiply both side by -4]
Answer: C)
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
- + C A' Read aloud Which equation best describes the graph at the right? o Select one: a. y = -2x b. y = 2x c. y = -0.5x d. y = 0.5x Write the slope-intercept form for an equation of a line that passes through (-3, -2) and is perpendicular to the graph of x + 4y = 12. Select one: O a. y = 4x + 10 b. y = -0.25x + 10 c. y = -0.25x...
Find the following. 5/2 3/2 f'(4) if f(x) = 9x -7x O A. 159 OB. 96 OC. 6 OD. 8 Find the equation of the tangent line to the curve when x has the given value. f(x) = Tx 5 ; X= 4 4x O A. y=-25 8 5 OB. y = 13x - 16 O c. y= - 39x - 80 х OD. y 1 + — 5 20
Which of the following matrix transformations are one to one? х 129 Х X-7y = 0 2 1 у 2x-2y Z 003 Z Z []=[2 %100 10 1 21 001 002 х y Z a. T only b. T and Q only c. Q only d. S only
1. Find the real solutions of the following equation: 736 + 16 = 4 A) {0) B) (1) 1) D) {4} E) None of the Above 2) 2. Find the real solutions of the following quadratic equation: x2 – 3x = 18 A) {6} B) (-6,3) C) (-3) D) {-3,6) E) None of the Above 3. Find the equation of the line in slope-intercept form that is perpendicular to the line y = 3x - and contains the point (6,2)....
Consider the following. у y=x (1,1) х 2 4 6 10 -2 x = 8 -4 y = 2 - x -6 -8 (a) Form the integral that represents the area of the shaded region. dx (b) Find the area of the region. (Give an exact answer. Do not round.)
Write an equation of the line below. -6- Aa O=O . - 4-3 -2 - 4 6 7 Х $ ?
B x х P NI X X X a х A wire curled in a circle has a radius a=2(m) and resistance R=1(2). The circle is placed in a magnetic field that is perpendicular to its plane and changes with time i according to B(t) = 2(1+)(T). Find the electric field vector induced at point P located at distance from the circle center - (V/m) A-) B-) - (V/m) C-) * (N/m) 16 D-) (V/m) O E-) (V/m)
Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation. x2+y2 = 1+z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y – 4z = 1 b. x + y - z=0 c. x + 2y – 2z = 1 d. x + y - z = 2 e. None of the above a. b. C. O d. e. Exercise 2. Directional derivative (6 pts + 9 pts)...
Q2. Consider the equation (a) [2 marks] Find the characteristics of the equation. (b) [4 Marks] Sketch the characteristics in the (x,y) plane (c) [2 Marks] determine the characteristic coordinates (d) [6 marks] Reduce the equation to standard form and find its general solution (e) Use the general solution to find u(x, y), if it exists, for the following Cauchy data () [2 Marks] u(x,y)-2 on the curve y=x2 [2 Marks] u(x,y)-l on the curve y- (c) [2 Marks) u(x,y)-1...