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WebConsider the equation below. x2 − y2 + z2 − 4x − 2y − 4z + 7 = 0 Reduce the equation to one of the standard forms. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. WebConsider the following equation. f(x, y) = sin(4x + 2y), P(−6, 12), u =(sqrt(3)i-j)/2 (a) Find the gradient of f.. ∇f(x, y) = (b) Evaluate the gradient at the point P. ∇f(−6, 12) = (c) Find the rate of change of f at P in the direction of the vector u. D u f(−6, 12) = 41 nbc macon news WebConsider the first equation. Subtract 4x from both sides. y-4x=1,2y-3x=12 . Put the equations in standard form and then use matrices to solve the system of equations. ... Substitute 2 for x in 2y-3x=12. Because the resulting equation contains only one variable, you can solve for y directly. 2y-6=12 . Multiply -3 times 2. 2y=18 . Add 6 to both ... WebExample 1 Determine if the value 3 is a solution of the equation. 4x - 2 = 3x + 1. Solution We substitute the value 3 for x in the equation and see if the left-hand member equals … best home phone and internet deals nz WebJustify your answer. tirfior the given differential equation with the initial condition g (0) = 0. 5. Consider the differential equation 2y-4x. (a) The slope field for the given differential equation is provided. Sketch the solution curve that passes through the point (0, 1) and sketch the solution curve that passes through the point (0,-1). WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. 41 nbc weather WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
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WebQuestion. Consider the following set of equations x + 2y = 5, 4x + 8y = 12, 3x +6y + 3z = 15. This set. A. Has unique solution. B. Has no solution. C. Has infinite number of solutions. WebConsider the first equation. Subtract 4x from both sides. y-4x=1,2y-3x=12 . Put the equations in standard form and then use matrices to solve the system of equations. ... best home pets to have WebConsider the differential equation 5 2 6 2 dy x dx y =− − for 2.y ≠ Let yfx= be the particular solution to this differential equation with the initial condition f ()−=−14. (a) Evaluate dy dx and 2 2 dy dx at ()−−1, 4 . (b) Is it possible for the x-axis to be tangent to the graph of f at some point? Explain why or why not. WebConsider the first equation. Subtract 4x from both sides.-2x-y=2y . Combine 2x and -4x to get -2x. ... Substitute -2 for y in 4x+2y=8. Because the resulting equation contains only one variable, you can solve for x directly. ... Multiply 2 times -2. 4x=12 . Add 4 to both sides of the equation. x=3 . Divide both sides by 4. x=3,y=-2 . The system ... 41 nbc news macon ga WebApr 10, 2016 · So −4x + 2y = 12 has a slope of − −4 2 = 2. Alternately, we could convert the given form. into "slope-intercept form": y = mx + b with slope m and y-intercept b. … WebThe following set of equations is an example of system of equations, 2x - y = 12; x - 2y = 48 ... express y in terms x in one of the equations and then substitute it in 2nd equation. Consider. 3x − y = 23 → (1) 4x + 3y = 48 → (2) ... by multiplying equations by suitable numbers, so as the coefficients of one of the variables become the ... best home phone service canada WebExpert Answer. Transcribed image text: Consider the differential equation = 2y - 4x. dr (a) The slope field for the given differential equation is provided. Sketch the solution curve …
WebMar 30, 2009 · Consider the differential equation dy/dx = 2y-4x a. Find the value of b for which y=2x+b is a solution to the given differential equation b.Let g be the function that satisfies the given differential equation with the initial condition g(0)=0. Does the graph of g have a local extremum at the point (0,0) ? If so, is the point a local maximum or ... WebGraph 2y-4x=-12. Step 1. Solve for . Tap for more steps... Step 1.1. Add to both sides of the equation. Step 1.2. Divide each term in by and simplify. Tap for more steps... Step 1.2.1. … 41nbc news macon WebAnswer to Find the vector equation for the line of intersection of the planes... Expert Help. Study Resources ... Find the vector equation for the line of intersection of the planes 5x + 2y + z = 1 and 5x + 5z = -4 r = D.Q,0) + +(10,.0) Note: You can earn partial credit on this problem. ... consider the planes Soc + 27 + 2 = 1 Sac + SZ = -4 ... WebSketch the graph of the equation 2y - 3x = 3. Solution To plot the graph, you may arbitrarily select two values for x and obtain the corresponding values for y. Therefore, lets set x = 0. Then the equation becomes 2y – 3(0) = 3. That is, 2y = 3 y = 3/2 This means that when x = 0, the value of y is 3/2. best home phone service for international calls WebTranscribed Image Text: 2. Consider two spheres of equations x² + y² + z² = 2x - 2y + 4z -2 and x² + y² + z² = 4x+2y+ 4. (a) For which points P on the first sphere and Q on the … WebAnswer: I think you mean “what is the SOLUTION to the exact differential equation”. A differential equation, f(x,y)dx+ g(x,y)dy= 0 IS “exact” if and only if f_y= g_x. Here f(x,y)= 1+ y^2+ xy^2 so f_y= 2y+ 2xy and g(x, y)= x^2y+ y+ 2xy so g_x= 2xy+ 2y. Yes, this equation is exact! That means tha... 41nbc weather WebExpert Answer. Graph …. Consider the equation below. - 2 - 4x - 2y-6z12 - 0 Reduce the equation to one of the standard forms. Classify the surface. hyperboloid of two sheets O …
WebMay 22, 2024 · One method to solving a system of equations is to take one equation, isolate x or y on one side, then plug it into the other equation. Let's try that with question 1. Equation 1: y= 3x+4. Equation 2: y-x=2. Since equation 1 already has y isolated on one side of the equation, we can plug in 3+4x for y in equation 2: y-x = 2. 41 n chief garry dr liberty lake wa 99019 WebStep 1: Enter the linear equation you want to find the slope and y-intercept for into the editor. The slope and y-intercept calculator takes a linear equation and allows you to calculate the slope and y-intercept for the equation. The equation can be in any form as long as its linear and and you can find the slope and y-intercept. Step 2: best home phone plans ontario