Evaluate the volume of the solid generated by revolving the plan

Q: 16. Determine if 4x – 3xy + yʻ is homogeneous or not. If it is homogeneous, state the degree of the…

A: Given : f(x,y)=4x2-3xy+y2   To Check : f(x,y) is homogenous or not and it's degree, if it is…

Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

A:

Q: ne indicated function y, (x) is a solution of the given differential equation. Use reduction of…

A:

Q: Find the distance between the parallel planes – 2x + y +z = 0 and 10r – 5y – 5z – 11 = 0. Note:…

A:

Q: diong the X-dXIS WiLII all dll and t is in seconds. If you know that the initial velocity is 6 m/sec…

A: According to our company's guidelines I can only answer first three subparts of the question. For…

Q: Show that the lines L1 : x = 2 – t, y = 2t, z = 1 +t and L2 : x = 1 + 2t, y = 3 – 4t, z = 5 – 2t are…

A: To show that the lines L1: x=2-t, y=2t, z=1+t and L2: x=1+2t, y=3-4t, z=5-2t are parallel and to…

Q: Use the integral test to determine whet 2n n2 + 4 n=1 O converges O diverges

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function whose maxima or minima are to evaluate is: f(x,y)=xy with the constrain…

Q: The relationship between the number of decibels B and the intensity of a sound I in watts per…

A: a)β=10ln(10)lnI10-16β=10ln(10)lnI10-16β=10ln(10)ln(I)-ln(10)-16β=10ln(I)ln(10)+16ln(10)ln(10)β=10log…

Q: Find a1 and r for a geometric sequence {a, from the given information. 41 az = 123 and a,= 9 a1 r=

A: The given terms of the geometric sequence,a3=123 and a6=-419

Q: 4 - Find an equation of the Planc perpendicular to each of the planes X-y +2=0 and 2x ty - 4z -5 =0…

A: A detailed solution is given below

Q: Find an equation of the plane through(-4, 4, – 4) that is perpendicular to the planes 9x – y + z = 9…

A: Given,            The plane passes through -4,4,-4 that is perpendicular to the planes…

Q: Question Find the critical points of the function 2 + 32x2. 5/2 f(x) =

A:

Q: Solve for x, if ∠1 = (4x+40)   and ∠2 =  (6x-20)

A: Consider

Q: 4. Find the inverse, domain and range of the function f (x) = x +3

A:

Q: Find an equation of the plane that is parallel to the plane x + 7y – 2z + 20 = 0 and contains the…

A:

Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of v…

A:

Q: 2. Evaluate the following limits. 3x+5 e. lim x→+o 2x+1

A:

Q: Find the dimensions of a rectangle (in m) with area 216 m² whose perimeter is as small as possible.…

A:

Q: Find Duf at P. f(x, y, z) = 4x'y°z?; P(1, – 2, 1); u = - 2. Duf

A: The objective of the question is evaluate the directional derivative at a given point.

Q: Write the first five terms of a geometric sequence a} based on the given information about the…

A:

Q: The marginal cost function, in dollars per item, for producing the x th item of a certain brand of…

A:

Q: Find the derivative of the function described. (Rx5) 1. y = (2x + 3) (5x – 4)

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

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A:

Q: Evaluate the integral. S(-241 - s)at 3 xdx = 2 15 given, a'dr = x²dx = dx = 1, O -36 O -146 O -114 0…

A:

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic…

A:

Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

A:

Q: sinh x 1+ cosh x

A: sinh x1+cosh x

Q: Thìnking. Inquiry. Problem Solving.[11] (3] 13. Find the equation of the following graph. Give your…

A:

Q: 1 Using u = 1 + 2x6, then the integral | x°(1+ 2x6)5 dx becomes 12 us du- This evaluates as 5+1 1 12…

A: Follow next step

Q: Find the derivative of the function. f(u) = u7e−u

A:

Q: Culculate the iterated întegreat T/2

A:

Q: FIND HE WORK DONE IN LIFTING Za lo00 lb OF COAL FROM À MINE (500ft. DEEP BY NEANS OF A CABLE WIIGH…

A:

Q: Find an equation of the plane that is parallel to the plane x + 3y – 8z + 18 = 0 and contains the…

A:

Q: Let g be a function that is defined for all x, x # 2, such that g(3)% = 4 and the derivative of g is…

A:

Q: u = 7i + 5j + k v = i+j+ 8k w = i+ 2j + 5k nd the volume. i

A: Given query is to find the volume.

Q: If measure of a = x+28 and measure of b = 5x-4, determine the value of x.

A:

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: This is a problem related to vector calculation. Based on the general formula we will find the…

Q: then the distance from a point P to the line L is equal to the length he component of the vector AP…

A:

Q: af Find a d () + In (). of the function f(x,y) = arccot and ду

A:

Q: Calculate the value of the integral dx to show that it is convergent. Then, use this result and the…

A: The given integral,∫1∞1x2dx and ∫1∞x2x4+x2+1dx

Q: Use spherical coordinates to show that the volume of a sphere of radius R is V = *nR³.

A: Given the radius of sphere is =R  Then equation  of sphere is                      X2 + Y2 + Z2 = R2…

Q: Find parametric equations of the line through (-1,0,3) that is parallel to 5i – 6j+k. x(t) y(t) =…

A:

Q: * (Find the integral of e^2x c

A:

Q: State whether the following numbers are rational or irrational. a) V4 + 7/2 b) V36 c) V11²510716

A: We have to find if the numbers are rational or irrational.   According to our guidelines we can…

Q: 1. Find the absolute extrema on the given intervälš. a. f(x) = x3 - 6x2 +9x-8; [0,5] b. f(x) = x8/3…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Let a = ci +jand b = 12i + 9j. Find cso that the angle between a and bis 6' Round your answers to…

A: Solve by dot product

Q: Identify the equation associated with each graphed surface. (a) O z? – 1 = y? + 2? O 22 + y² = z O…

A:

Q: Determine whether the series converges. 1 k + 11 k=I The series

A:

Q: Find the area enclosed by the given curves (using applications of definite integrals).

A: