Question

For Exercises 17 and 18, find the acute angle between the given lines by using vectors parallel to the lines. 17. y = x, y = 2x + 3 18. 2 - x + 2y = 0, 3x - 4y =-12

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Related Calculus Q&A

Find answers to questions asked by students like you.

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

A: Click to see the answer

Q: Find the perimeter of the triangle with vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).

A: Given:The vertices A(-1, 2, 1), B(1, -1, 3), and C(3, 4, 5).The perimeter of the triangle is AB + BC...

Q: Here is another typi-cal problem in computer graphics. Your eye is at (4, 0, 0). You are looking at ...

A: Given,Eye position = (4, 0, 0)Triangle plate vertices = (1, 0, 1), (1, 1, 0) and (-2, 2, 2)Line segm...

Q: Find the angles between the planes in Exercises 47 and 48. 47. x + y = 1, 2x + y - 2z = 2 48. 5x + y...

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

Q: a ball is thrown straight upwards from a tower ( 40 feet high) so thats its position, s in feet, t i...

A: Given:A ball is thrown straight upwards from a tower ( 40 feet high) so that’s its position, s in fe...

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

A: To show that

Q: By multiplying the Taylor series for ex and sin x, find the terms through x5 of the Taylor series fo...

A: First, we need to find the terms through x5 of the Taylor series for ex sin x which is found by  mul...

Q: Compute (i * j) * j and i * (j * j). What can you conclude about the associativity of the cross prod...

A: Note that : 

Q: Let R be the region bounded by y =x, x= 1, and y = 0. Use the shell method to find the volume of the...

A: Graph the situation roughly using graphing calculator.The shaded region is rotating about x=8 line.

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: Find the areas of the surfaces generated by revolving the curves in Exercises 31–32 about the indica...

A: 31.The functions are,

Q: Find the point on the sphere x2 + (y - 3)2 + (z + 5)2 = 4 nearest a. the xy-plane. b. the point (0, ...

A: Consider the given equation of the sphere.

Q: I need to compute each limit. The limit is ... lim x -> -3 x2 + x - 6 ————— x3 + 27

A: Given,

Q: Find the volume of the solid generated by revolving the region enclosed by the ellipse 9x2 + 4y2 = 3...

A: Find the volume of the solid generated by revolving the region enclosed by the ellipse 9x2 + 4y2 = 3...

Q: Find the first four nonzero terms in the Maclaurin series for the functions in Exercises 31–38. 31. ...

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

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: 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: Find the lengths of the curves in Exercises 25–27. 25. x = cos t, y = t + sin t, 0 <=t<= pai 2...

A: The given curve is

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: The circles r = sqrt(3) cos u and r = sin u intersect at the point (sqrt(3)/2, pai/3). Show that the...

A: For r=sqrt(3)cos(theta) find dr/d theta 

Q: Let u = i - 2j, v = 2i + 3j, and w = i + j. Write u = u1 + u2, where u1 is parallel to v and u2 is p...

A: u1 is parallel to v and u2 is parallel to w.So u1= av and u2=bwWhere a and b are constants.

Q: Find parametrizations for the lines in which the planes in Exercises 61–64 intersect. 61. x + y + z ...

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

Q: Find parametric equations and a parameter interval for the motion of a particle in the xy-plane that...

A: It is known that,

Q: Find a plane through the points P1(1, 2, 3), P2(3, 2, 1) and perpendicular to the plane 4x - y + 2z ...

A: The given points and the plane are,

Q: what is the left and right endpoint Riemann sum for f(x)= (x^2)/11 on the interval [2,6]?

A: Given:

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

A: Given:

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

A: Given:

Q: what Taylor series would you choose to represent the function near the given value of x? (There may ...

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

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

A: Given,

Q: Find the center C and the radius a for the spheres in Exercises 51–52. 51. x2 + y2 + z2 - 6y + 8z = ...

A: We’ll answer the 51th question since we answer only one question at a time. Please submit a new ques...

Q: Solve the inequality. Write your answer in interval notation. 4x-1/x Greater than or equal to 0

A: The given inequality is,

Q: What is a general solution? A particular solution?

A: Click to see the answer

Q: f(x) =16 − x2, g(x) = x + 2 Find (f + g)(x)

A: Given functions are

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: 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: Find the center C and the radius a for the spheres in Exercises 51–52. 51. (x + 2)2 + y2 + (z - 2)2 ...

A: To determine the centre and radius of the sphere.

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

Q: The question says: "Sketch the graph of a function for which f(0)=0, f'(0)=3, f'(1)=0, and f'(2)=-1....

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: Find an equation for the set of all points equidistant from the planes y = 3 and y =-1.

A: Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Q: Find the binomial series for the functions in Exercises 11–13. 11. (1 + x)4 12. (1 - 2x)3  13. (1 + ...

A: As per our norms, I am going to solve only one question as you have posted multiple question so plea...

Q: Find the area enclosed by the y-axis and the curve x = t - t2, y = 1 + e-t .

A: Click to see the answer

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: 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 (x2 + y2) dx + xy dy = 0

A: Click to see the answer

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: describe the given set with a single equation or with a pair of equations. The circle of radius 2 ce...

A: To determine the set of equation that represents a circle of radius 2 centered at (0, 0, 0) and lyin...