2. +y².

Q: Let f(x, y, z) = 3xyz + y?z. Find the gradient field Vf.

A: Formulae of gradient field is given below

Q: Graph each equation of the system.Then solve the system to find the points of intersection.

A: Graph & solution of the given system of equations where the equations are given as: x2+y2=10y=x+...

Q: Find the critical points, relative extrema, and saddle points of the function. a. f(x, y) = 1 − (x+ ...

A: 'In the question we have to find extreme points and critical and saddle points of given functions.

Q: Graph each equation and find the point(s) of intersection,if any.

A: Graph of the given equations & point of intersections where the equations are given as: x+22+y-1...

Q: What function behaviors might occur for which the limit may failto exist? Give example.

A:    To determine the behaviour of the function for which the limit may fail to exist.

Q: Please help i am not sure if I did this right. Polar Integrals

A: The answer what you did is correct.

Q: Find T, N, and k for the plane curve.r(t) = (2t + 3)i + (5 - t^2)j

A: Consider: rt=2t+3i+5-t2j. Find T, N, k. We have, if r=ui+vj then r'=u'i+v'j and r=u2+v2.

Q: Give an example to explore numerically how a function behaves near a particular point at which we ca...

A: Solution: Consider y = f(x) = 1/x is the function Since at x = 0, this function is going to be undef...

Q: Explain why Newton’s method doesn’t work for finding the  root of the equation x3 - 3x + 6 = 0 if th...

A: Given: The equation x3-3x+6=0, To determine: The reason why Newton's method doesn't work for finding...

Q: Set up an integral to find the area of the region between f(x) = x4 and g(x) = x5  Find the Area?

A:

Q: Explain the difference between an absolute maximum and a  local maximum. Illustrate with a sketch.

A: given,       absolute maximum and  local maximum

Q: 13. Find the integral using the u substitution method Jx(x+1)*dx

A: Solution of question as follow

Q: How do you define and calculate the length of a segment of asmooth space curve? Give an example. Wha...

A: Solution: Consider r→(t) = f(t) i^ + g(t) j^ + h(t) k^ be the smooth curve C where t lies inside [a,...

Q: At what point on the curve y = [ln(x + 4d)]2 is the tangent  horizontal?

A: Given function is, y=ln(x+4)2

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin () h(x) = (cos (t) +...

A:

Q: snip

A: Given system of equations is: x2-y2=13 ................ 1x2-y=7 ................... 2 From equation ...

Q: Question 13 Find the area of the sector of a circle with radius 5 yards formed by a central angle of...

A: use formula of sector area of circle

Q: Solve 8sin(π/2x)=5 for the four smallest positive solutions

A: We have to solve 8sinπ2x=5 for the four smallest positive solutions.

Q: Write the partial fraction decomposition of each rational expression.

A: Given expression is, x2(x-1)2(x+1)

Q: Find the average value over the given interval. y=4e^-x;[0,1]

A:

Q: Dialysis The project on page 458 models the removal of urea from the bloodstream via dialysis. Given...

A:   Derivatives can be defined as rate of change of function with respect to an independent variable. ...

Q: In general ,which is larger, net area or total area of a region? explain why

A: Net area refers to positive area in combination with negative area.  Whereas,  Total area refers to ...

Q: QUESTION 6 Worldwide annual sales of a product in 2013-2017 were projected to be approximately q = -...

A:

Q: 1. Let S be the part of the cone z? = x? +y² that lies between the planes z = 1 and z = 2. Compute f...

A:

Q: Explain what is unusual about the solution set of the inequality.x2 − 8x + 16 > 0

A: The given inequality is: x2 − 8x + 16 > 0 To solve this inequality, factorize the expression x2 −...

Q: Use the following matrices to evaluate the given expression. CB

A: Given: A=03-5126, B=410-23-2, C=4162-23

Q: In Problem,show that each matrix has no inverse.

A: we have to show that the given matrix has no inverse. -31-1 1-4-7 125

Q: Consider f(x)=-ex+3. Sketch a graph of the function (show the y intercept and asymptote). What are t...

A:

Q: When is a function periodic?

A: Periodic function:

Q: For problems, 7–8, determine whether the improper integral converges or diverges.

A: We have to solve

Q: Sketch the graph of the function h(x) = 3x2 − x4 by (a) applying the Leading Coefficient Test, (b) f...

A: The term with the highest power is the most influential in plotting the graph of the function thus t...

Q: A cubic polynomial function f has real zeros −2, 1/2, and 3, and its leading coefficient is negative...

A: Find the third-degree polynomial with the given zeros. fx=-x+22x-1x-3      =-2x2+3x-2x-3      =-2x3-...

Q: For an angle x, sin(x) = 6/13. Find the following: %3D cos(x) = %3D tan(x) = csc(x) = %3D sec(x) = %...

A: This question is based on trigonometric ratio's. Sin(x) = perpendicular/hypotenuse

Q: 5. A tank is being filled with water at a rate ofr(t) = 2t + 3, where r(t) is in ounces per second, ...

A:

Q: Solve the inequality x2 + x < 6 . Then graph the solution set.

A: A inequality is an equation that uses an inequality sign instead of an equal sign and thus gives a l...

Q: 4x Use the given expansion to derive a power series Give the first 3 non- 2 + Vx zero terms. O 4x – ...

A: We have to find the first three non-zero terms in the power series of 4x2+x.

Q: Convert the angle 60° to radians. Give the exact value and use pi for T. 60° = %3D Submit Question

A:

Q: A radio tower is located 425 feet from a building. From a window in the building, a person determine...

A:

Q: Find the area of the indicated region. (Round your answer to three decimal places.) Between y = e X ...

A: use definite integral for finding the area between two curves.

Q: Solve the inequality 3x2 − 11x > 20. Then graph the solution set.

A:

Q: Use implicit differentiation to find the specified derivativea⁴-t⁴=6a²t find da ÷dt

A: We have been given the function  a4-t4=6a2t

Q: - и? — Зиv, у uv?. Find the Jacobian of the transformation x =

A:

Q: Determine the radian measure of the angle swept out by the minute hand on a clock between 4:50 am an...

A: There is a 20 min gap between 4:50 am and 5:10 am. Now, angle made by minute hand in completing 60 m...

Q: Determine the surface area generated by revolving the curve of the item on the picture. Show the com...

A: Given: Curve is y=x33 over the curve [0,2]

Q: What is a di¡erentiable curve’s unit tangent vector? Give an example

A: Given that differential curve.

Q: Answer choices are the same for each part

A:

Q: A rectangular page contains 64 square inches of print. The margins at the top and bottom of the page...

A: Given A rectangular page contain 64 square inches of print the margins at the top and bottom of the ...

Q: Find the rational zeros of the function h(x) = x3 − 19x + 30.

A: Given:         h(x)=x3−19x+30

Q: Find all vertical and horizontal asymptotes of the graph of the function.f(x) = x3/(x2 − x)

A: Given: fx=x3x2-x

Q: Sx' - 3, xS2 lx² +1, x>2 a. Is h continuous at x = 2? b. Is h differentiable at x = 2? 2. Given that...

A: A function is continuous at a point if the limit of a function at that point is equal to the value o...

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.