1) Find the parametric equations of the line that is tangent to circle x² + y² = 25 at point (3, -4)

Q: Find three different pairs of parametric equations for the line segmentthat starts at (0, 0) and…

A: Direction ratio is = (6-0, 6-0)= (6,6) That is equivalent to (1,1) , (2,2) and (3,3)

Q: Find the length of one arc of the curve whose parametric equation are x=2θ-2sinθ and y=2-2cosθ.

A: We have to find length of arc whose parametric equations are : x=2θ-2sinθ and y=2-2cosθ Suppose 0 ≤…

Q: find a parametric equation for the line that is per-pendicular to the graph of the given equation at…

A: 41. Here the given as  Now we let

Q: Find the parametric equation of the line ( x-3, y+6 )•( 2,-3 ) = 0

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Q: find parametric equations for the given curve.  Line through (2, 5) perpendicular to y = 3x

A: Find parametric equations for the given curve.  Line through (2, 5) perpendicular to y = 3x

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at the…

A:

Q: The parametric equation of the line resulted from intersection of x-y 0, and z = 2 is %3D

A: Use the given planes.

Q: Suppose parametric equations for the line segment between (-2, 8) and (7,3) have the form: a + bt…

A: This question can be solved by substituting the values of x,y and t in the given equations.

Q: The graph of the curve described by the parametric equations x = 2t2 and y =t³ – 3t has a point…

A:

Q: Suppose parametric equations for the line segment between (-2, 10) and (8, 9) have the form: a + bt…

A: Note: As per our company guidelines we are supposed to answer the first question. Kindly ask the…

Q: Find parametric equations of the line through (-3,0, 3) that is parallel to 5i– 7j+k.

A: Recall:  The parametric equations of the line through (x0,y0,z0) that is parallel to a i+b j+c k is…

Q: This is the problem  If a and b are fixed  numbers, find parametric equations for the curve that…

A: It is required to define the point P in a, b  and θ.

Q: Write three different sets of parametric equations for the curve $y=\sqrt{x}$

A:

Q: (a) How do you find the slope of a tangent to a parametric curve?

A: (a) Assume a general parametric curve. Differentiate and find the derivatives.

Q: What is the rectangular equivalence to the parametric equations? z (8) = 4 cos 0 + 2, y (8) = 2 sin…

A:

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A: Given that z=x2+y2 and 3x−5y+7z=24 and point is 3,4,5. Let fx,y,z=x2+y2−z and gx,y,z=3x−5y+7z−24 We…

Q: Give parametric equations that describe a full circle of radius R, centered at the origin with…

A: The general parametric equations for circle which has center at (0,0) and radius R orientated in…

Q: Graph the pair of parametric equations with the aid of a graphing calculator x = 4 sin t - sin 4t, y…

A: Given x=4sint-sin4ty=4cost-cos4t0≤t≤2π

Q: Find the parametric equations of the line contains point P (2, -1, 2) and tangent to the vector v =…

A: Given problem:- Find the parametric equations of the line contains point P (2,-1, 2) and tangent to…

Q: In an open space, Thomas throws a ball at an angle of 70° to the horizontal with an initial velocity…

A:

Q: Find the parametric equations of a vertical line through point (5,-7). Assume s = 0 corresponds to…

A: Solution

Q: find parametric equations for the lines with the given description.  Perpendicular to the yz-plane,…

A: To find parametric equation perpendicular to yz plane passes through (0,0,2)

Q: 4. Sketch the parametric equations by eliminating the parameter. Be sure to include arrows to…

A: From given equations, we find sin theta and cos theta Then we plug them in the Pythagorean identity…

Q: Give parametric equations that describe a circle of radius R, centered at the origin with clockwise…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the length of the curve defined by the parametric equations

A: Given parametric equations are x=(5/6) t and y=5 ln((t/6)2-1) from t=7 to 9 W need to find length of…

Q: 7) Find the parametric equations of the line that is tangent to circle x² + y? = 25 at point (3, -4)

A:

Q: Find parametric equations for the line through (3, – 7,6) parallel to the x-axis. Let z = 6. X= , y…

A:

Q: find a parametric equation for the line that is perpendicularto the graph of the given equation at…

A: Given: x2+y2=25; -3,4 for finding equation of line that is perpendicular to given curve at given…

Q: find parametric equations for the given curve. Circle of radius 4 with center (3, 9)

A:

Q: Find parametric equations for the line segment thatgoes from Q(0, 3) to P(-2, 0).

A: Given Q(0,3) and P(-2,0)

Q: Find the parametric equations for the line through the point (5, 2,9) and perpendicular to the plan…

A:

Q: I need to get the parametric equation for a line between the points (0,1,2) to (3,0,-1). I have the…

A: Line passing though the points 0, 1, 2 & 3, 0, -1. Now let, x0, y0, z0=0, 1, 2 & x1, y1,…

Q: Explain how a pair of parametric equations generates a curve in the xy-plane.

A: Our Aim is to explain the fact that how a pair of parametric equationsgenerates a curve in the…

Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: Find set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A:

Q: Find parametric equations for the tangent line to the curve of intersection of the following two…

A: We have to find parametric equations for the tangent line to the curve of intersection of the given…

Q: Find the corresponding Cartesian equation of the parametric equation       x=3cosθx=3cosθ.…

A: Given:           x=3 cos θ,   y=4 sin θ            0≤θ≤2π From: x= 3 cos θ            cos θ=x3 From:…

Q: 3. What is the parametric equation for the line through the point (1,2,3) parallel to the y - axis?

A:

Q: Suppose parametric equations for the line segment between (7,-3) and (8, 2) have the form: Т a + bt…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: Find the parametric equations of the line that is tangent to circle

A: Question (1) - Equation of circle - x2+y2 = 25Differentiating on both sides with respect to x -…

Q: find parametric equations for the given curve. Segment joining (1, 1) and (2, 3)

A:

Q: Find parametric equation of a helix radius 5 from a point (5, 0 ,0) to a point (0, 5, 1)

A: Given that the radius of the helix is R=5. We know that the parametric equation of helix is given…

Q: Find parametric equations of the line through (-3,1,1) that is parallel to 2i – 5j+k. -

A:

Q: Find the parametric equations of the line that is perpendicular to the plane 2x +y +3z = 4 and goes…

A:

Q: Under what circumstances can a graph that represents a set of parametric equations have more than…

A: On considering the parametric equations x=f(t) ----(1) y=g(t)----(2) Where, x and y is a function…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.