Start your trial now! First week only $4.99!*arrow_forward*

Question

In Exercises 1–3, give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations.

1. x = 2, y = 3

2. y = 0, z = 0

3. x2 + y2 = 4, z = 0

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Consider the infinite region in the first quadrant bounded by the graphs of y = 1 /sqrt(x) , y = 0, ...

A: Given information:

Q: Give some typical parametrizations for lines, circles, parabolas, ellipses, and hyperbolas. How migh...

A: First of all, consider the cartesian form of the equation for the line.Then, consider the parametriz...

Q: How do you reindex a series? Why might you want to do this?

A: Any series can be reindexed without changing its convergence.

Q: What values of p have the following property: The area of the region between the curve y = x^-p, 1&l...

A: Given information:

Q: In the function: f(x)= (7x+B)/(4x+b) , with 7b>4B What are the critical numbers of the function?

A: Given:

Q: Suppose that q = f(p) is the demand curve for a product, where p is the selling price in dollars and...

A: Given:

Q: Use this formula to find the slope of the tangent line to the curve at the given x-value. f(x) = 2x...

A: Click to see the answer

Q: Express in terms of sum and differences of logarithms

A: To express the given expression in terms of sums and differenceGiven,

Q: What is a parametrization of a curve in the xy-plane? Does a function y = ƒ(x) always have a paramet...

A: Parametrization of a curve in the xy-plane:Parametrization of a curve consists of both equation and ...

Q: The given equation is either linear or equivalent to a linear equation. Solve the equation. (If ther...

A: Given,

Q: In the function: f(x)= (3x^2)ln(x) , x>0 Where is the function increasing and decreasing in inte...

A: Click to see the answer

Q: One focus of a hyperbola lies at the point (0, -7) and the cor-responding directrix is the line y = ...

A: Click to see the answer

Q: Find the centroid of the region cut from the first quadrant by the curve y = 1/sqrt(x + 1) and the l...

A: Click to see the answer

Q: Find the volume of the solid that results when the shaded region is revolved around the indicated ax...

A: Given a solid that resulted when the shaded region is revolved around the indicated axis.

Q: For approximately what values of x can you replace sin x by x - (x3/6) with an error of magnitude no...

A: The Taylor series for sin(x) can be written as:

Q: A phone company charges $16.95 a month and 12 cents for every minute above 120 minutes. Write an exp...

A: A phone company charges $16.95 a month and 12 cents for every minute above 120 minutes. Write an ex...

Q: Consider the table. f(x) 10 4 13 16 8. 19 b. Express f in the form f(x) = ax + b

A: Given,

Q: Find the average value of ƒ(x) = sqrt(x + 1)/ sqrt(x) on the interval [1, 3]

A: Given a function

Q: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (0, pai/2) b...

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts fo...

Q: Find the constants a and b such that the function is continuous on the entire real line. 7, ax + b, ...

A: For a continuous function the value the value of the value of f (x) is not discontinuous at any poin...

Q: dy/dx (y=x^2(4x+1)^3)

A: To find dy/dx we differenciate both sides with respect to x.On the right side use the Product rule.(...

Q: Find the X and Y intercepts of y= 1 - the square root of 1 -x2

A: Given,

Q: Express as a single logarithm and if possible simplify

A: Click to see the answer

Q: What consequence does the lack of uniqueness of polar coordi-nates have for graphing? Give an exampl...

A: Click to see the answer

Q: How do you find the length of a smooth parametrized curve x = ƒ(t), y = g(t), a<= t<=b? What d...

A: Given data:

Q: (2x? + 3x + 1) dx 3 (a) Find the Riemann sum for this integral using right endpoints and n = 3. (b) ...

A: (a) Obtain the Riemann sum for the given integral using right endpoints and n = 3 as follows.

Q: find the Taylor series at x = 0 of the functions in Exercises 1–2. 1.ln(3+6x) 2. 5sin ( -x)

A: Consider the given question,(1)The Taylor series at x = 0 is given by,

Q: Find the value of c so that ƒ(x) = csqrt(x)(1 - x) is a probability density function for the random ...

A: Write the given expression and simplify it using the definition of probability density function.

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the re...

A: Sketch the integrant as shown below.

Q: What is a cycloid? What are typical parametric equations for cycloids? What physical properties acco...

A: Click to see the answer

Q: In the function: f(x)= 6/((x^2)-16) What are the critical numbers of the function? When is the fu...

A: Click to see the answer

Q: Find the values of the variables. 1 1 x 4 1 13 3 3 z %3D 4 2 х IL || ||

A: Given:

Q: Find equations for the tangents to the circle (x - 2)2 + ( y - 1)2 = 5 at the points where the circl...

A: Click to see the answer

Q: obtain a slope field and add to it graphs of the solution curves passing through the given points. y...

A: Click to see the answer

Q: What can be said about term-by-term sums and differences of convergent series? About constant multip...

A: Click to see the answer

Q: Find the centroid of the region in the first quadrant that is bounded below by the x-axis, above by ...

A: It is given that the centroid of the region in the first quadrant is bounded below by the x-axis, ab...

Q: The concentration of an antihista-mine in the bloodstream of a healthy adult is modeled by C = 12.5 ...

A: 6 hour period means from t=0 to t=6That is from start of the medication to 6 hours after medication...

Q: A brief calculation shows that if 0<=x<= 1, then the second de-rivative of ƒ(x) = sqrt(1 + x4)...

A: The Given information is,

Q: Consider the following. 2x2 - 4x - 30 lim Find the limit of the function (if it exists). (If an answ...

A: Given,

Q: find a parametrization for the curve. 1. the line segment with endpoints (-1, -3) and (4, 1)

A: Click to see the answer

Q: Use the Taylor series for 1/ (1 - x2) to obtain a series for 2x/ (1 - x2)2.

A: Click to see the answer

Q: What restrictions can you place on the variables involved in the three basic trigonometric substitut...

A: Click to see the answer

Q: What is absolute convergence? Conditional convergence? How are the two related?

A: Click to see the answer

Q: In the function: f(x)= 6/((x^2)-16) Where is the function concave up and down in interval notation...

A: Given,

Q: If an integrand is a product of the form sin^n x cos^m x, where m and n are nonnegative integers, ho...

A: There can be 4 cases according to that we can consider the values of n and m. Case 1: When m is odd....

Q: Evaluate the limit, if it esxists. (If an answer does not exist, enter DNE.). lim x°-4I+3 x>3 X-3

A: Factor the numerator.Factor 3 so that the sum of the factors is -4Factors are -3 and -1Write -4x as ...

Q: (9x2+y−1)−(4y−x)y′=0,y(1)=0

A: Click to see the answer

Q: The “triangular” region in the first quadrant bounded by the x-axis, the line x = 4, and the hyperbo...

A: Given,