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

Question

Find a vector 5 units long in the direction opposite to the direction of v = (3/5)i + (4/5)k.

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: What is the binomial series? On what interval does it converge? How is it used?

A: Given:What is the binomial series? On what interval does it converge? How is it used?

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: What is the arc length function for a smooth parametrized curve? What is its arc length differential...

A: Click to see the answer

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x2 + x – 1 lim x...

A: Given, limit function is

Q: Find the distance from the a. x-axis to the plane z = 3. b. origin to the plane 2 = z - x. c. point ...

A: a) z=3 is parallel to x axis. It is 3 units above x axis. ( Refer to the diagram)Answer: 3

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

A: Given:

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

A: Click to see the answer

Q: Find the volume of a parallelepiped if four of its eight vertices are A(0, 0, 0), B(1, 2, 0), C(0, -...

A: Draw the diagram roughly

Q: For what value or values of a will the vectors u = 2i + 4j - 5k and v = -4i - 8j + ak be parallel?

A: Given,

Q: If u * v = u * w and u ≠ 0, then does v = w? Give reasons for your answer.

A: GivenIf u * v = u * w and u ≠ 0, then does v = w? Give reasons for your answer.

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: What is the second derivative of the function: f(x) = (9x^2)/ (x^2-49) Please show ALL steps

A: Given function is

Q: find the component form of the vector. The vector PQ, where P = (1, 3) and Q = (2, -1)

A: Given vectors

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

A: Direct comparison test:

Q: In Exercises 1–8, find the eccentricity of the ellipse. Then find and graph the ellipse’s foci and d...

A: Click to see the answer

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: Consider the following. 2x2 - 2x – 12 lim x -2 Find the limit of the function (if it exists). (If an...

A: (a) First, calculate the limit by direction substitution, we let x = -2

Q: n Exercises 39–41, find the distance from the point to the plane. 39. (2, -3, 4), x + 2y + 2z = 13 4...

A: Given, (2, -3, 4), x + 2y + 2z = 13.

Q: In Exercises 1–2, find the length and direction (when defined) of u * v and v * u. 1. u =-8i - 2j - ...

A: find the length and direction (when defined) of u * v and v * u.

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

A: Vector Addition Geometrically:

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: Use f(x) = 5x − 3 and g(x) = 4 − x2to evaluate the expression. (f ∘ g)(x) (g ∘ f)(x)

A: Given,

Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, ...

A: Find three angles.

Q: When do directed line segments in the plane represent the same vector?

A: Vectors are represented by the line segments in which the length of the line segment is called the m...

Q: use I=60/13(1-e-13t/5) to express the time t as a function of the current I

A: The given function of I as a function time t is as follows.

Q: Find the distance from the plane x + 2y + 6z = 1 to the plane x + 2y + 6z = 10.

A: Given planes are,

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: Find the area of the parallelogram with vertices K(3, 2, 1), L(3, 5, 3), M(5, 10, 3), and N(5, 7, 1)...

A: To find the area of the given parallelogram, use the vector method which is described as.We know tha...

Q: The ellipse (x2/16) + (y2/9) = 1 is shifted 4 units to the right and 3 units up to generate the elli...

A: First list the formulas for ellipse.

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: What is the exact value for cos(cos-1(1))

A: Click to see the answer

Q: A gun with muzzle velocity of 1200 ft >/sec is fired at an angle of 8° above the horizontal. Find...

A: It is given that the gun has the velocity 1200 ft/ sec which is fired at angle 8 degree.Compute the ...

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

A: Click to see the answer

Q: Use this fact and find the acute angles between the lines in Exercises 47–51. 47. 3x + y = 5, 2x - ...

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

Q: I need help finding an equation of the tangent line to the function y= cos(3x) with the point ((pi)/...

A: Given:

Q: if you have a parametric equation grapher, graph the equations over the given intervals x = 2 cos t ...

A: Click to see the answer

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: Find the angles between the vectors in Exercises 9–12 to the nearest hundredth of a radian. 9. u = 2...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = (1/2)i - (1/2)j - (1/...

A: Given,

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: In Exercises 1–5, find the length and direction (when defined) of u * v and v * u. 1. u = 2i - 2j - ...

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