Find parametric equations for the given curve. Line through (1, -2) with slope 3

Q: (Precalculus) Which of the following is an equation of the circle passing through (6,-5) and tangent…

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Q: Find the equation of the line that is parallel to the line 4r+y 6 and that passes through the point…

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Q: Parallel to y + 8x = 4, through (3, 4); slop- intercept form

A: The line is parallel to y+8x=4, passes through 3, 4

Q: 3 4 y=2xt (1, 2) 3 x L is perpendicular to y = 2x

A: Equation of line L ......x+2y-5=0 For detail...go through the solution

Q: Give equations and sketch graphs of the lines passing through (-2,2) and parallel to y=2-5x

A: It is given that the required line passes through the point -2, 2 and parallel to the line whose…

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: Find the equations of the circles passing through the point (-4,3). Couching the lines x + y 2 and x…

A: Since the circle touches the line x+y=2 and x-y=2, then we can conclude that the center of this…

Q: Find an equation for the circle that goes through the points (0,0), (0,8), and (6,12). Then find an…

A: Let the equation of the circle be      (x - a)2 + (y - b)2 = r2   . . . . . . . . . . . . (1)  Now,…

Q: Find the midpoint of points A(-8,2)and B(-5,-5) graphically.

A: Explanation: Plot the points A and B on the graph. Then draw a horizontal line from A and Vertical…

Q: Find the distance from the point (2, 6) to the line 2x - 5y = 0. Distance =

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Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

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Q: Find parametric equations for the line of slope 2 that passes through the point 13, 52 .

A: Equation of line in the parametric form form when it is passes through point x1,y1 and slope 'r' is…

Q: Find an equation for the line tangent (in general form) to the circle at point (4,-3). The circle…

A: For the figure  given below: Equation of a tangent to a circle at point (a,b)  with radius r and…

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that Draw the lines l1 l2…

A: The lines passes through the point (6,-4)

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.