Use an iterated integral to find the area of the region. dy dx = y 6 5 4 3 2 1F -1 1 2 4

Q: Question 5 Find all the first sder partial derivatives for the following function. f(x, y) = x(x, y)…

A:

Q: Work Problem 1 (a) Sketch the surface generated by revolving the line y = x/2, 0< x < 6, about the…

A:

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t=0 T(0) = N(0)

A:

Q: У(у - 9) dy у3 — 216 6.

A:

Q: tch the vector field with its graph. F(x, y) = yi y 事 5 -5- -6+ y 1信 I 5 5 -5+

A: Given  F(x,y)=yi Option (1) is correct by given graph

Q: Find the volume of the solid generated when the region enclosed by y = Vx, y = 6 – x, and y = 0 is…

A: This is a problem related to integration. Based on the integral formula we will solve the volume by…

Q: Use the comparison test to verify that the following serie 00 1 Σ n=17+n7

A:

Q: 6n+5 is Ln=1 5n+1 Determine whether the series convergente or divergente.

A:

Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = (t2 + 9t)i - 4t²j (a) r'(t) (b) r"(t) (c) r'(t) · r"(t)

A:

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Given problem:- Use the cylindrical shell method to calculate the exact volume of the solid formed…

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 1 is…

A: Given problem:- Find the volume of the solid that results when the region enclosed by y = √x, y = 0,…

Q: 5. Determine the intervals on which f(x) = -5x* + 40x³ – 5 is concave up or concave down using…

A: 5.The given function f(x)=-5x4+40x3-5 Note:    Multiple questions are given, we are answered with…

Q: help

A:

Q: 1. Find D„f at P: f(x,y) = sin(8x – 5y); P (5,8)); u=((i)

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) 2…

A:

Q: Which of the following series can be used with the comparison test in order to conclu that the…

A:

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: Here ,              We have given a vector valued function now we have to determine the intervals on…

Q: Suppose that a population of insects for an experiment increases according to the law of exponential…

A:

Q: y" +y' + 1.25y = 0, y(0) = 3, y' (0) = 1.

A:

Q: Find the solutions of the system of inequalities by graphing: ¤ + y 2

A:

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = (i-)

A:

Q: 2. Locate the centroid (x, y)of the following areas: a) y3D Vx/2 + 2r/3 %3D I 2 ft

A: Given:    Centroid of the colored figure x,yWhere,x =MyM      &amp;       y =MxMMy = ∫02xfx-yxdx…

Q: At the beginning of an experiment, a scientist has 400 grams of radioactive goo. After 75 minutes,…

A:

Q: Revolution

A:

Q: Use the comparison test to test the series n2- 1 n =1 クタ

A:

Q: Find the y-intercept and x-intercept of the linear inequalities then graph the system. 1.2х + 3у >…

A: I am attaching image so that you understand each and every step.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

A:

Q: (e) In a certain city the amount of violent crime was decreasing but slower than it was in previous…

A:

Q: r-3 = 3coso -6

A: Given that :.  r - 3 = 3cos(theta) First we change this polar equations in the form of Cartesian and…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

A: x+y=-1y=-x-1(line with negative slope and intercept -1)2x+y=-3y=-2x-3line also with negative slope,…

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); U =

A:

Q: 1. In the differential equation (r+2y-1)dx+(2x+4y-3)dy 0, we let the substitution %3D

A:

Q: Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A:

Q: Find the deri votive e

A:

Q: . Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z =…

A:

Q: fy = e2" 2-3 , then find y" at x = 0 Enter your answer as a decimal

A:

Q: Simplify cot(2 arctan 6). -35/37 -35/12 -1/6

A:

Q: Determine whether the following series is convergent or divergente: (-1)" Σ A n +7 n = 1

A: We can solve this as follows:

Q: The integral represents the volume of a solid of revolution. 27 x³ dx (a) Identify the plane region…

A:

Q: Q1 (- Use the comparison test to verify that the following series converges: 1 n =17+n6

A:

Q: 2. Given {-t,-n St< 0. f(t) = {t, 0stsa f(t) = f(t + 2n) (i) Sketch the function for 3 cycles. (ii)…

A:

Q: Find the area of the shaded region. (2,7) (0,3). 26 2/3 2/3

A:

Q: Find the volume of the solid that results when the region enclosed by 2 x² and x 4 2y? is revolved…

A:

Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

A:

Q: S dy V1+9y2 3.

A:

Q: Find the gradient of the function at the given point. g(x, y) = 6xeYlx, (14,0) Vg(14, 0) :

A:

Q: If R is the region bounded by y = x* – 1 and y = -x² – 1, find the volume V(S) of the solid S…

A:

Q: is a p-series. 57 - - ... 17 27 37 47 Select one: O True O False

A:

Q: 9 Determine whether the series 9. 9. +...+ 9. +... is convergent or 100 1002 1003 100" divergent. If…

A: 9100+91002+91003+.....+9100n+...common ratio:a2a1=a3a2=1100First term: a=9100common ratio:…