Question

Find the distance between the point (1,1) and (3,9) along the curve y=x2

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: Find the distance from the point (3, -4, 2) to the a. xy-plane b. yz-plane  c.xz-plane.

A: a) Distance of (3, -4, 2) from xy plane:On xy plane , z=0. So, This point is 2 units away from the z...

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: 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: Find a formula for the distance from the point P(x, y, z) to the a. x-axis.    b. y-axis    c. z-axi...

A: The formula for distance between two points (x, y, z) and (a, b, c) is

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

A: Click to see the answer

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

A: Given planes are,

Q: Find the centroid of the region that is bounded below by the x-axis and above by the ellipse (x2/9) ...

A: As shown in the figure the ellipse is bounded below by x-axis.It is clear from the symmetry that the...

Q: Find an equation for the set of points equidistant from the y-axis and the plane z = 6.

A: The formula for distance between two points (x, y, z) and (a, b, c) is

Q: The parabola x2 = -4y is shifted left 1 unit and up 3 units to generate the parabola (x + 1)2 = -4(y...

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: A baseball is hit when it is 2.5 ft above the ground. It leaves the bat with an initial velocity of ...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Find parametric equations for the lines in Exercises 1–4. 1. The line through (0, -7, 0) perpendicul...

A: The given point and the plane is,

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: In Exercises 25–26, express each vector as a product of its length and direction. 25. 5k 26. 3/5i+4/...

A: We’ll answer the 25th question since we answer only one question at a time. Please submit a new ques...

Q: Use Taylor’s formula with a = 0 and n = 3 to find the standard cubic approximation of ƒ(x) = 1/(1 - ...

A: The given function is,

Q: find the Taylor series at x = 0 of the functions in Exercises 1–2. 1.ln(3+6x) 2. 5sin ( -x)

A: Consider the given question,(1)The Taylor series at x = 0 is given by,

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 the areas of the triangles whose vertices are given in Exercises 41–47. 41. A(0, 0), B(-2, 3), ...

A: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the question...

Q: Can you help step by step with this problem?

A: Taking the limits of rational functions:

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

A: Given:

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: 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 a vector of magnitude 2 parallel to the line of intersection of the planes x + 2y + z - 1 = 0 a...

A: Find a vector of magnitude 2 parallel to the line of intersection of the planes x + 2y + z - 1 = 0 a...

Q: Show that a projectile attains three-quarters of its maximum height in half the time it takes to rea...

A: Show that a projectile attains three-quarters of its maximum height in half the time it takes to rea...

Q: What angle does the line of intersection of the planes 2x + y - z = 0 and x + y + 2z = 0 make with t...

A: Given:The planes 2x + y - z = 0 and x + y + 2z = 0

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  

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: Show that the line in which the planes x + 2y - 2z = 5 and 5x - 2y - z = 0 intersect is parallel to ...

A: Find the vectors normal to the planes x + 2y - 2z = 5 and 5x - 2y - z = 0.

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

A: Given:

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: 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: A line segment of length a + b runs from the x-axis to the y-axis. The point P on the segment lies a...

A: Given A line segment of length a + b runs from the x-axis to the y-axis. The point P on the segment ...

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 an equation for the plane that passes through the point (-1, 6, 0) perpendicular to the line x ...

A: Direction ratios of line x =-1 + t, y = 6 - 2t, z = 3t are  <1,-2,3> .Sine line is perpendicul...

Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola y =...

A: Click to see the answer

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: 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: 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: find a parametrization for the curve.  1.the lower half of the parabola x - 1 = y2 2. the left half ...

A: (1)Find the parameterization for the parabola equation

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

A: Click to see the answer

Q: In Exercises 1–2, find a. v. u,| v|,|u| b. the cosine of the angle between v and u c. the scalar com...

A: 1.Given vectors are

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

A: Given,

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: The line L: x = 3 + 2t, y = 2t, z = t intersects the plane x + 3y - z =-4 in a point P. Find the coo...

A: Given: