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

Question

Find the limit of the problem.

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: please solve and show your work

A: Two end points of the line segment are: (0,4) and (-5,-3)

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: The line segment joining the origin to the point (h, r) is revolved about the x-axis to generate a c...

A: Surface area formula of revolution about x axis is given by:

Q: find an equation for the line tangent to the curve at the point defined by the given value of t. Als...

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

Q: Find the volume swept out by revolving the region bounded by the y-axis and the graph of x = t (1 - ...

A: Given,

Q: Find the areas of the parallelograms whose vertices are given in Exercises 35–40. 35. A(1, 0), B(0, ...

A: Area of parallelogram ABCD is |AB x AD|

Q: Solve the equation for x. 10(2 + e-X)-1 = 3 %3D

A: Click to see the answer

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

A: Click to see the answer

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: Evaluate the limit, if it exists:

A: LCM of (x+h)^2 and x^2 is x^2*(x+h)^2.Simplify the numerator using LCD.

Q: find the component form of the vector. The unit vector obtained by rotating the vector {0, 1}120° co...

A: To determine the unit vector.

Q: n Exercises 21 and 22, draw coordinate axes and then sketch u, v, and u * v as vectors at the origin...

A: Note: We’ll answer the 21st question since we answer only one question at a time. Please submit a ne...

Q: Find the point in which the line through the origin perpendicular to the plane 2x - y - z = 4 meets ...

A: Given that the line is passing through origin so ro = (0,0,0) and perpendicular to the plane 2x – y ...

Q: Show that the line b2xx1 - a2yy1 - a2b2 = 0 is tangent to the hyperbola b2x2 - a2y2 - a2b2 = 0 at th...

A: Find dy/dx.Then find dy/dx at the point (x1,y1) by plugging x=x1 and y=y1

Q: The approximation ex = 1 + x + (x2/2) is used when x is small. Use the Remainder Estimation Theorem ...

A: The given approximation is a second order Maclaurin polynomial for ex. We get an upper bound for R3...

Q: Estimate the error if P 3(x) = x - (x^3/6) is used to estimate the value of sin x at x = 0.1.

A: Given:

Q: Find the distance from the line x = 2 + t, y = 1 + t, z =-(1/2) - (1/2)t to the plane x + 2y + 6z = ...

A: Direction ratio of the line x = 2 + t, y = 1 + t, z =-(1/2) - (1/2)t is (1,1, -1/2)Normal vector to ...

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: What points in the xy-plane satisfy the equations and inequalities in Exercises 11–12? Draw a figure...

A: Since you have submitted two questions, we\'ll answer the first question. For the second question pl...

Q: Can you help me step by step with this problem please

A: Evaluate the limit

Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

A: Click to see the answer

Q: Show that the volume of the segment cut from the paraboloid x2 /a2 + y2/ b2 = z/ c by the plane z = ...

A: Show that the volume of the segment cut from the paraboloidX^2 /a^2 + y^2/ b^2 = z/ cby the plane z ...

Q: Find a vector 2 units long in the direction of v = 4i - j + 4k.

A: First find a unit vector in the direction of v = 4i - j + 4k.

Q: Find the distance from the point (-2, 1, 4) to the a. plane x = 3 b. plane y =-5 c. plane z =-1

A: Given:The point (-2, 1, 4).Formula:The distance between a point (x1, y1, z1) and the plane is,

Q: Show that a. cosh iu = cos u, b. sinh iu = i sin u.

A: To show that

Q: Mixtures 9. Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds...

A: Let the amount of salt in the tank at any time t is given by A(t).So the rate at which the amount of...

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

A: Given vectors

Q: According to the Alternating Series Estimation Theorem, how many terms of the Taylor series for tan-...

A: Taylor series expansion for tan-1x is given by,

Q: 15. Previous Answers + 0/1 points TanApCalcBr10 2.1.032. Find the domain of the function. (Enter you...

A: Find the domain of the given function

Q: Find the vertex, focus, and directrix of the parabola x2 - 6x - 12y + 9 = 0.

A: Write the given parabola in standard form by completing square

Q: Let u, v, and w be vectors. Which of the following make sense, and which do not? Give reasons for yo...

A: a.

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

A: Click to see the answer

Q: How are vectors added and subtracted geometrically? Algebraically?

A: Vector Addition Geometrically:

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

A: Click to see the answer

Q: Find parametric equations for the line in which the planes x + 2y + z = 1 and x - y + 2z =-8 interse...

A: x + 2y + z = 1 and x - y + 2z =-8 are the two planes.Let z=t So, the equations become:

Q: Find the acute angles between the lines and planes in Exercises 51 and 52. 51. x = 1 - t, y = 3t, z ...

A: Given:The line equations x = 1 - t, y = 3t, z = 1 + t.

Q: Write inequalities to describe the sets in Exercises 45–46. 45. The slab bounded by the planes z = 0...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: Find the work done by a force F = 5i (mag-nitude 5 N) in moving an object along the line from the or...

A: Given,

Q: Use the identity sin^2 x = (1 - cos 2x)/2 to obtain the Maclaurin series for sin^2 x. Then different...

A: It is given that

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic sections in Ex...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: generate a parametrization of the line through P(2, -4, 7) parallel to v1 = 2i - j + 3k. Then genera...

A: We know that equation of line through (x1,y1,z1) and parallel to ai+bj+ck is

Q: State domain and range of f(x)=(x2+1)-1

A: Given:

Q: If vector AB = i + 4j - 2k and B is the point (5, 1, 3), find A.

A: Given,

Q: Show that squares are the only rect-angles with perpendicular diagonals.

A: Consider u and v as the sides of the rectangle.The diagonals are perpendicular.Consider the diagonal...

Q: Find a unit vector orthogonal to A in the plane of B and C if A = 2i - j + k, B = i + 2j + k, and C ...

A: The given details are as follows.

Q: Find an equation for the parabola with focus (4, 0) and directrix x = 3. Sketch the parabola togethe...

A: Given that the focus of the parabola is (4, 0) and its directrix is x = 3. Observe that the focus li...

Q: Let P be an approximation of pai accurate to n decimals. Show that P + sin P gives an approximation ...

A: Substitute the value of P in |f(x)|.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: First graph the situation