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

Question

What is a cylinder? Give examples of equations that define cylin-ders in Cartesian coordinates

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Show that the number 4p is the width of the parabola x2 = 4py (p>0) at the focus by showing that ...

A: Click to see the answer

Q: a. Find the length of one arch of the cycloid x = a(t - sin t), y = a(1 - cos t). b. Find the area o...

A: Click to see the answer

Q: describe the given set with a single equation or with a pair of equations. The plane through the poi...

A: Describe the given set with a single equation or with a pair of equations. The plane through the poi...

Q: find the component form of the vector. The unit vector obtained by rotating the vector {1, 0}135° co...

A: The unit vector obtained by rotating the vector {1, 0}135° counterclockwise about the origin.

Q: Find parametric equations for the lines in Exercises 1–4. 1. The line through the point P(3, -4, -1)...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: What geometric or physical interpretations do cross products have? Give examples.

A: Geometric or physical interpretations:The magnitude of the cross product of two vectors is the area ...

Q: Find the acute angles between the intersecting lines in Exercises 49 and 50. 49. x = t, y = 2t, z =-...

A: Note: We’ll answer the 49th question since we answer only one question at a time. Please submit a ne...

Q: The line segment joining the points (0, 1) and (2, 2) is revolved about the x-axis to generate a fru...

A: To determine the surface area of the frustum.

Q: What are the Direct Comparison Test and the Limit Comparison Test? What is the reasoning behind thes...

A: Direct comparison test:

Q: Find the coordinates of the centroid of the curve x = cos t, y = t + sin t, 0<=t <= pai.

A: Click to see the answer

Q: Estimate the error if P4(x) = 1 + x + (x2/2) + (x3/6) + (x4/24) is used to estimate the value of ex ...

A: Calculate the actual value of ex at x=1/2

Q: What substitutions are sometimes used to transform integrals in-volving sqrt(a2 - x2), sqrt(a2 + x2)...

A: Formulas for the given type of forms is shown below:

Q: Find the volume using the shell method. x = 8y2, y ≥ 0, x = 8; about y = 2

A: Given:x = 8y2, y ≥ 0, x = 8; about y = 2

Q: Looking for help for all of the questions with lines next to them.

A: Since you have asked multiple questions, we will solve the first three questions for you. If you wan...

Q: Exercises 17–20 give equations for ellipses. Put each equation in standard form. Then sketch the ell...

A: Note: We’ll answer the 17th question since we answer only one question at a time. Please submit a ne...

Q: In Exercises 1–3, a. Identify the equilibrium values. Which are stable and which are unstable? b. Co...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

Q: Sketch the surfaces 1. . z = x2 + 4y2 2. x = 4 - 4y2 - z2 3. x2 + y2 = z2

A: The given surfaces are sketched using online 3D calculator.

Q: Exercise 2: Determine the average value of the following functions, on the given interval. (a) x³, o...

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...

Q: #7

A: Click to see the answer

Q: The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) on the interval [...

A: Given:

Q: The estimate sqrt(1 + x) = 1 + (x/2) is used when x is small. Estimate the error when | x|< 0.01.

A: Taylor inequality state that, M is a positive real number such that

Q: Let u = <1, 2, 1> , v = <1, -1, -1> , w = <1, 1, -1> , and z = <2, -3, -4> ....

A: Given vectors

Q: The hyperbola (y2/4) - (x2/5) = 1 is shifted 2 units down to generate the hyperbola ( y + 2)2 /4 - x...

A: Given:

Q: Find the derivative of the following function s2 ds Vĩ 2 + 5s4 F(x) = using the appropriate form of ...

A: Given

Q: let u = (3, -2) and v = (-2, 5). Find the (a) component form and (b) magnitude (length) of the vecto...

A: Since you have asked multiple questions with multiple sub-part, we will solve the first question for...

Q: 50. A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and ...

A: According to the given information:Force = 1500 NChain makes an angle 300It is required to calculate...

Q: Use similar triangles to find the coordinates of the point Q that divides the segment from P1(x1, y1...

A: Given:

Q: In Exercises 33–34, find the distance from the point to the line. 33. (3, -1, 4); x = 4 - t, y = 3 +...

A: Note:We’ll answer the 33th question since we answer only one question at a time. Please submit a new...

Q: Find all real solutions of the ordinary differential equations: y''+4y=x

A: The general equation of the solution is,

Q: 4x² + 5 -dx 3

A: Given, integral is

Q: Show that the vector v = ai + bj is parallel to the line bx - ay = c by establishing that the slope ...

A: We first have to find the slope of the given vector and the line. If the slopes are equal then they ...

Q: Find Taylor series at x = 0 for the functions 1/1 +x^3

A: Calculate the Taylor series for the function.Provide the function as shown below:

Q: Replace the Cartesian equations in Exercises 56–61 with equivalent polar equations. 56. x - y = 3 57...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Which of the following are always true, and which are not always true? Give reasons for your answers...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Under what circumstances will an infinite series of nonnegative terms converge? Diverge? Why study s...

A: Click to see the answer

Q: In Problems 11–14 verify that the indicated function is an explicit solution of the given differenti...

A: Verify that the given function is an explicit solution of the given differential equation. Find an a...

Q: Match the polynomial function with its graph. 5 graphs in total. First three have been removed as th...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: How can you sometimes find the area bounded by a parametrized curve and one of the coordinate axes?

A: Let the equation of parametrized curve be

Q: Find a vector of magnitude 7 in the direction of v = 12i - 5k

A: Given vector is v = 12i – 5k. First find the direction of the given vector

Q: Suppose n is an integer. So Show that for n+0, ſ x cos(nx)dx = { п n is even (a) 2 п is odd n2

A: Click to see the answer

Q: a. Graph the hyperbolic spiral ru = 1. What appears to happen to c as the spiral winds in around the...

A: Click to see the answer

Q: I need to compute each limit. The limit is ... lim x -> 0 4(x+1)2+3(x+1)-7 ————— x

A: Click to see the answer

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: Solve the homogeneous equations (xe^y/x + y) dx - x dy =0.

A: Find dy/dx from the given equation

Q: Find the angle at which the cardioid r = a(1 - cos u) crosses the ray u = pai/2.

A: Given:

Q: Find the volume swept out by revolving the region bounded by the x-axis and the graph of x = 2t, y =...

A: Given that x = 2t and y = t(2–t). Obtain the interval of integration as follows.

Q: Find parametric equations for the lines in Exercises 1–4. 1. The line through the origin parallel to...

A: Hey, since there are multiple questions posted, we will answer the first two questions. If you want ...

Q: describe the given set with a single equation or with a pair of equations.The set of points in space...

A: Let the points are given by (x,y,z)

Q: х on the interval [2, 6]. 11 The rectangles in the graph below illustrate a left endpoint Riemann su...

A: The formula to calculate the Riemann Sum using left end points is given as,