Graph the following parametric equations by hand, using values of t in [ - 2,2]. Make a table of t-, x-, and y-values, using t = -2, -1,0, 1, and 2. Then plot the points. Join them with a line or smooth curve for all values of t in [ – 2,2). %3D x=P+1 y= -t+5 Make a table of values. x=? +1 y= -t+5 ral -2 -1 purc 0. esour uccess eOptions Enter your answer in the edit fields and then click Check Answer. sions 1 part remaining Clear All Check Answer P Pearson 12

Q: find parametric equations for the given curve. y = 9 − 4x

A: The given equation

Q: In the given equation as follows , sketch the curve represented by theparametric equations (indicate…

A: Given the parametric equations x = 1+1t, y = t -1 x = 1+1t ,      y +1 = t x = 1+1y+1xy+1 = y+2xy…

Q: The parametric equations of four plane curves are given (a) x = t and y = t2 - 4. (b) x = t2 and y =…

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Q: Which of the following is the correct set of parametric equations for the graph pictured below? a)…

A: Solve the following

Q: A parametric curve is given by the equations: x (t) = 3 – t, y (t) = 2t, 0 <t < 3. After eliminating…

A: The given parametric curve is  x(t) = 3-t, y(t) =2t,   0≤t≤3 Here,  parameter is t.   We have to…

Q: Given the set of parametric equations x = 2t2- 1 and y = 3t + 4, eliminate the parameter t and…

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Q: 32. y=-4x+1 a. x=t b. . C. x =-4t /27

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Q: Let 7(t) = Find a parametric equation of the line tangent to 7 (t) at the point (– 31, 189, 10.832)…

A: Letr→(t)=-t3-4,t3+2t4,-4ln(5t)We need to determine a parametric equation of the line tangent to…

Q: Which of the following is the correct set of parametric equations for the graph pictured below? a)…

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Q: Given the parametric equations, x = t - 1 and y = -t, find the point on the graph at time, t = 4.…

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Q: Consider the following parametric equations: 12 - 8 3t – 16 and y = 2 X = 2 Step 2 of 2: Plot the…

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Q: Find the exact length of the curve described by the parametric equations. x = 5 + 3t2, y = 3 + 2t,…

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Q: Consider the following equations. x = 1 - t, y = t - 3, -2 <t< 2 (a) Sketch the curve by using the…

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Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =…

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Q: Find for the following parametric equations. dx2

A: First we find dy/dx  dy/dx = (dy/dt)/(dx/dt) Differentiate y with respect to t dy/dt = 2t…

Q: Graph the plane curve defined by the parametric equations:x = t2 + 1 ,  y = 3t ,  -2 ≤ t ≤ 2.

A: Consider the given parametric equations x=t2+1 and y=3t over the interval -2≤t≤2 now, make the table…

Q: Graph the curve given by the parametric equations below, and show its orientation. c=-t², y=-3t,…

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Q: Graph the curve given by the parametric equations below, and show its orientation. x= 3 cost, y=3…

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Q: Graph the plane curve defined by the parametric equations: x = t2 - 1, y = 2t, -2 ≤ t ≤ 2.

A: we have to graph the plane curve defined by the parametric equations: x=t2-1y=2t-2≤t≤2

Q: How to Graph the following parametric equations by hand, using values of t in [-2,2].make a table of…

A: Given  parametric equation is X = t-2 Y = 2t² So Y = 2*(X+2)² Y = 2X² + 8X + 8

Q: Which set of parametric equations represents the curve shown in the figure? Select the correct…

A: The graph given above is the graph of transformation of                                  y=ex  it is…

Q: Which of the following correctly graphs the parametric equations x(t) = v4t – 4 and - y(t) = 3t – 3:

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Q: Suppose parametric equations for the line segment between ( – 2, – 4) and (3, 3) have the form:…

A: Given x(t)=a+bt          y(t)=c+dtwhen t=0,x(0)=-2,y(0)=-4⇒ x(0)=a+b0     -2=a      y(0)=c+d0…

Q: please make curve clear and determine the direction (clockwise or counterclockwise) of the curve.…

A: Given that       x = -3t , y = t2  , -3 &lt;= t &lt;= 2  Here we have to draw the graph.

Q: Graph the following parametric equations by hand, using values of t in [- 2,2]. Make a table of t-,…

A: We will use the table to find solution to the problem .

Q: Graph the following parametric equations by hand, using values of t in [-2,2]. Make a table of t-,…

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Q: Graph the following parametric equations by hand, using values of t in [ - 2,2]. Make a table of t-,…

A: The given parametric curve is: x=t2+5       and      y=-t+3

Q: Find a set of parametric equations that represents the graph of y = 1 − x2, using each of the…

A: Given- y=1-x2 To find- Find a set of parametric equations that represents the  above graph using…

Q: please make the curve easy to read and determine the direction (clockwise or counterclockwise) of…

A: Data given  X=-t+3   Y=-2t+1  value of t is given in a interval of [0, 5] Find out orientation of…

Q: The following are the parametric equations for the motion of an object: x(t) = t cos (5t² + 2), y(t)…

A: Given a parametric equation, x(t)=t cos5t2+2,  y(t)=t2 ln(-5t)

Q: Which of the following correctly gives the Cartesian form of the parametric equations x(t) = = 6t –…

A: Parametric Equation of x : x(t)=6t-3⇔x=6t-3 Parametric Equation of y : y(t)=-18t-11⇔y=-18t-11

Q: Graph the plane curve defined by the parametric equations:x = t2 - 1 ,  y = 2t ,  -2 ≤ t ≤ 2.

A: The given curve is x = t2 - 1 ,    y = 2t ,    -2 ≤ t ≤ 2. Sketch the graph as shown below.

Q: Graph the following set of parametric equations and show the orientation of the curve: x=-3t +1 17.…

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Q: Which of the following sets of parametric equations correctly represents the curve above

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Q: For the given parametric equations, find the points (x, y) corresponding to the parameter values t =…

A: Given: x = t2 + t       ,     y = 3t+1  values t = -2, -1, 0, 1, 2

Q: Identify the graph generated by the parametric equationsx = t2, y = t, for -10 ≤ t ≤ 10.

A: x=t2,  y=t  for  -10≤t≤10

Q: Suppose parametric equations for the line segment between (4, 3) and (– 1, – 10) have the form:…

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Q: If the parametric curve starts at (- 2, – 9) when t = 0 and ends at (5, 7) att = 1, then find a, b,…

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Q: Find a set of parametric equations to represent the graph of the rectangular equationy = 3 − x2…

A: Given:  rectangular equation:  y=3-x2 ...(1)(a)…

Q: Given the set of parametric equations x = 2t2 - 1 and y = 3t + 4, eliminate the parameter t and…

A: Solution:x=2t2-1    and y=3t+4To eliminate t and describe the graph of the resulting equation.

Q: Which of the following is the correct set of parametric equations for the graph pictured below? a)…

A: For conversion of parametric equation into rectangular system the term t is eliminated and the…

Q: find the parametric equation for each of the following a.) for the line of slope 2 passing through…

A: a) Firstly, we will find the equation of line of slope 2 passing through the point (-2,4) by using…

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 2x + y…

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Q: Graph the parametric curve ⟨t2−1,3t+2⟩⟨t2−1,3t+2⟩ over the interval −3≤t≤3−3≤t≤3. Identify all…

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Q: Eliminate the parameter t to find a Cartesian (rectangular) equation in the form x=f(y) for the…

A: Topic = Algebra

Q: Which of the following graphs correctly displays the graph of the curve defined by the parametric…

A: The two parametric equation are ,         x(t)=e-2t+4y(t)=2t-3 to graph first find the value of t in…

Q: Which of the following graphs correctly displays the graph of the curve defined by the parametric…

A: The graph of  e-2t+4

Q: Find the parametric equation of the line passing through P (1, 2, 3) and perpendicular to the lines…

A: Given:  r1= (2+t)i + (1+2t)kr2=(-t)i + (1-6t)j - (2t)k

Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (– 13, 96, – 2.079)…

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.