Consider the parametric equations below.x = t2 - 4y = 5 - 2t-3 ≤ t ≤ 4(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Eliminate the parameter to find a Cartesian equation of the curve.x = ≤ y ≤

Question

Consider the parametric equations below.
x = t2 - 4
y = 5 - 2t
-3 ≤ t ≤ 4
(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. (Do this on paper. Your instructor may ask you to turn in this work.)

(b) Eliminate the parameter to find a Cartesian equation of the curve.
x =

≤ y ≤

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: A farmer decides to build a fence to enclose a rectangular field in which he will plant a crop. He h...

A: Let width = x feet. Given perimeter=1400 and length = 100 feet. From there we find x.Answer(a): 600 ...

Q: 272x+1=1/3

A: Put 27=3^3 Exponent of exponent multiplies.Plug 1/3= 3^-1

Q: please answer question 15 with graph

A: The given function is,

Q: I don't know how to start to solve this.   The "vertex" of the graph of a quadratic function is the ...

A: Before we get into this question, we need to understad what the vertex is. Plese see the graphs on t...

Q: What does the nth term test determine for the summation of (e^n)/(e^n+n) from 0 to infinity?

A: We are given the expression,

Q: Find the function L that linearly approximates f at the given point. a. f(x,y) = X2+y2; (0,0) b. f(x...

A: Refer to the question, we have to find the function L that linearly approximates f at the given poin...

Q: I need help working this problem. I get stuck at this point. I think my algebra is failing with the ...

A: Given function: m(t)=2/(t-1)

Q: 0 and f" (x) < 0 for all x 50. Suppose f(3) = 2, f'(3) and f'(x) 2 a. Sketch a possible graph for f ...

A: We can conclude from f(3) = 2 that the value of f(x) at x = 3 is 2.So we got one point on the curve ...

Q: Any number minus itself is 0. Explain why a ∞−∞ limit isn’t necessarily 0. (a) Why doesn’t the idea ...

A: given

Q: What are the reference angles for the following

A: For the first image,

Q: see atta chment

A: Equation can be rewritten as 

Q: Problem 3: Evaluate the following limits, or give a short reason why they do not exist. (You may use...

A: a) To evaluate:

Q: Answer the following questions about the function whose derivative is f′(x)=x2(x-3)/x+6. Assume the ...

A: To determine:Part a) The interval of increasing and decreasing f.Part b) The local maximum and minim...

Q: Calculus Question

A: Given,

Q: Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point. 

Q: (x1) Solve the IVP: y/ , y (0) = 1 y2 O y22y( 1)3 9 O 3y2 6y 2 (x + 1)3 7 O y22y

A: It is given that,

Q: A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped ...

A: Obtain the limit of the concentration as t approaches infinity as follows.

Q: indefinite integral of (7 + u + u2) du

A: To find: value of the indefinite integral.

Q: Can I get help with this problem step by step?

A: Given:Find the dimension of a right circular cylinder of maximum volume that can be inscribed in a s...

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: The question says: "A pair of parametric equations is given. a.) Sketch the curve represented by the...

A: Given:

Q: 51 and 52 Find dy/de and d2y/dz2. For which values of t is the parametric curve concave upward? 51. ...

A: 52. The given parametric curve are

Q: The base of the ladder in the figure is a = 5 ft from the building, and the angle formed by the ladd...

A: Given,

Q: Write the equation in spherical coordinates. 2x2 - 3х + 2y2+ 22? (a) = 0 3p(p sin(p)cos (0)) 2 2х + ...

A: Consider the following spherical coordinates.

Q: Can you help with this problem step by step?

A: (a)

Q: For the pair of functions, find the derivative of the composite function c(x(t)) in terms of one inp...

A: Click to see the answer

Q: For number 3, how to find radius and height? And how do I know for height which function to subtract...

A: Given thatGiven that

Q: 10 5 0 -1 -10 Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and it...

A: A(blue) is the graph of the functionB(red) is the graph of the function's first derivativeC(green) i...

Q: Write a derivative formula for the function. f(x) = 8x√(7x+2) +91

A: Given,

Q: Identify the curve by finding a Cartesian equation for the curve. 18. θ = π/3

A: Given that

Q: Determine the equation of the tangent line to the given path at the specified value of t. (Enter you...

A: Given:Determine the equation of the tangent line to the given path at the specified value of t.

Q: Consider the limit: lim x→0csc(6x)sin(7x).(a) What is the form of the limit?(b) Based on the form, w...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: The operating cost to an airline for having a flight between its west-coast and east-coast hubs chan...

A: Click to see the answer

Q: see attachment

A: The domain of a function f(x) is defined as a set of values of x for which function is defined and t...

Q: The position of an object in circular motion is modeled by the given parametric equations. Describe ...

A: The two parametric equations are, x=2sint and y=2costFor calculating the radius of the circle, we us...

Q: Determine the critical numbers, if any, of the function f on the interval [1,3]. = x 3 f(x) х Give y...

A: Given,

Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: From the given information, it is observed that the aim is to find the ds/dx at the point x = 12.

Q: Differentiate the function F(t) = (ln t)2 sin t

A: Given function is,       

Q: To illustrate the Mean Value Theorem with a specific function, let's consider f(x) = x3 - x, a = 0, ...

A: Given,

Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 2t.) (a) (4, -4, 5) (42, ...

A: a). Given rectangular coordinates are

Q: Can you help me on #9?

A: Find integral