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

Question

find the component form of the vector.

The vector 5 units long in the direction opposite to the direction of (3/5)i + (4/5)j

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

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: If cos x is replaced by 1 - (x2/2) and |x |<0.5, what estimate can be made of the error? Does 1 -...

A: We’ll answer the second question first. Notice the question have used first two digits of Maclaurin ...

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: Write equations for the asymptotes for the graph of 2 + Sr - 3 f(x) =

A: Click to see the answer

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: If u and v are orthogonal, show that projv u = 0.

A: If u and v are orthogonal, show that projv u = 0

Q: Obtain the Taylor series for 1/(1 + x)2 from the series for -1/(1 + x).

A: Recall the following fact.

Q: What is the Taylor series generated by a function ƒ(x) at a point x = a? What information do you nee...

A: With Taylor series, possible to guess what a function will look like in the area around the chosen p...

Q: What geometric interpretation does the dot product have? Give examples.

A: The geometrical interpretation of the dot product of u.v is the length of the projection of the vect...

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

A: Let any such point = (x,y,z) So, (x,y,z) is 2 units from the point (0, 0, 1) .Express this using dis...

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

A: (1)

Q: How do you find equations for spheres in space? Give examples.

A: How to find equation of spheres in space? Give example

Q: Considel the following TUnction and its graph. f(x) = -2 Use the graph to determine the limit visual...

A: The given graph of the function is

Q: Find the derivative of the following function g2 F(x) = ds a 3+ 5s4 using the appropriate form of th...

A: Given that,

Q: Most centroid calculations for curves are done with a calculator or computer that has an integral ev...

A: Click to see the answer

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: Exercises 49–50 give equations for ellipses and tell how many units up or down and to the right or l...

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

Q: A wheel of radius a rolls along a horizontal straight line without slipping. Find parametric equatio...

A: Click to see the answer

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

A: Given,

Q: Find the length of the curve r = 2 sin^3 (u/3), 0<=u<=3pai, in the polar coordinate plane.

A: To determine the length of the polar curve.

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: In Exercises 25–30, find the distance between points P1 and P2. 25. P1(1, 1, 1), P2(3, 3, 0) 26. P1(...

A: Given,

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,

Q: What are polar coordinates? What equations relate polar coordi-nates to Cartesian coordinates? Why m...

A: Consider an origin as O and an initial ray from the origin. The positive x-axis is usually considere...

Q: What are the basic facts about a. sums, differences, and products of power series? b. substitution o...

A: (a) The basic facts about sums, differences, and products of power series.

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 is a Maclaurin series?

A: The Maclaurin series of f is the Taylor series generated by,

Q: Find all points that simultaneously lie 3 units from each of the points (2, 0, 0), (0, 2, 0), and (0...

A: Let such a point is (x,y,z)

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: What is a monotonic sequence? Under what circumstances does such a sequence have a limit? Give examp...

A: The monotonic sequence theorem:

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: Can someone show me how to reach this answer shown in the problem?

A: Given,

Q: Solve the differential equation listed below:

A: Separate the variables

Q: Find the centroid of the region enclosed by the x-axis and the cycloid arch x = a(t - sin t), y = a(...

A: Given data:

Q: What is an autonomous system of differential equations? What is a solution to such a system? What is...

A: Click to see the answer

Q: Write a polynomial f(x) of degree 5, with integer coefficients, and with zeros -2 (multiplicity 2), ...

A: Given, polynomial f(x) is of degree 5, with integer coefficients, and with zeros -2 (multiplicity 2)...

Q: 71. The square roots, cube roots, and fourth roots of + are shown in the figure from left to right, ...

A: To determine the nth root of 1 using the pattern.

Q: In Exercises 35–38, find an equation for the line through P perpendicular to v. Then sketch the lin...

A: given an equation for the line through P perpendicular to v

Q: Solve the equation. e4x+4e2x-21=0

A: Let us suppose y = e2x, substitute the value of y in the given equation:

Q: Solve the differential equation listed below:

A: Separate the variables.

Q: What is the determinant formula for calculating the cross product of two vectors relative to the Car...

A: Consider two vectors relative to the Cartesian i, j, k-coordinate system.

Q: Find derivative and evaluate the derivative at given value: f(x) = (sinx)ln5x ; a = PI/2

A: The given function is,

Q: find the component form of the vector. The vector OP where O is the origin and P is the midpoint of ...

A: Given points are R = (2, -1) and S = (-4, 3).First find midpoint P by using midpoint formula as foll...

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

A: Click to see the answer