Rewrite the polar equation r = 2 sin(0) as a Cartesian equation.

Q: In the differential equation (6x - 3y + 2)dx-(2x - y - 1)dy = 0 , we let the substitution dx =…

A: Please see the answer below.

Q: be Integral Test is applied to the following series? 4 n + 3 n=1 Select one: Integral Test cannot be…

A: Explanation of the answer is as follows

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

A: A detailed solution is given below

Q: Find the average value of f(x) = 4-x2 on the interval [2,3] Find the area enclosed by f(x) = -x2+4x…

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Q: How many smoothies of each kind were sold that day? 46. Appliance Manufacturing Kitchen Korner…

A: Basic linear programming problem

Q: The following figure shows the graphs of y = f(x) and y = g(x), together with %3D %3D the indicated…

A: Given problem:-

Q: I ntegrate : 1. ト「1G4y? +L dx 64x?+ル 2+16 dx

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

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

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: 5. In antidifferentiation, the formula § x" dx + Cis valid if? %3D (n+1) А. nER В. п# 1,п€ R С. п€…

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Q: 2. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy =0, we let

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Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

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Q: What is the volume of the solid generated by revolving the region bounded by y = x², y = 0 and x = 2…

A: Please see the answer below.

Q: Knowing that harmonic series is divergent, which of the following series is also divergent by Limit…

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Q: The elasticity of a polymer is affected by the concentration of a reactant. When low concentration…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: Project 13 Problem 13.1 Plot the following two functions yı(x) and y2(x) on the same set of axes.…

A: 13.1     y1(x) = e-x2 ( -2 ≤ x ≤ 2 )         y2 (x) = x4 - x2  ( -2 ≤ x ≤ 2 ) For y1(X) :    x  -2…

Q: Tristan will deposit $196 into an account every two weeks (26 times per year). The account earns an…

A: Given that Tristan will deposit $196 into an account every two weeks (26 times per year). The…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A: We have to find volume of solid formed by rotating the given equations about X - axis.

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: Given problem:- Find the domain of the vector-valued function. (Enter your answer using interval…

Q: Find the solution of ODE using the method of separation of variables. Initial value problem:…

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

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Q: Below is a sketch of the graph of J.

A: we say at x=a limit exist if the both right and left side limit exits and equal at x=a

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

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Q: A. Solve the following and show your solution. 1. Use the definition of Fibonacci numbers to find…

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Q: In the differential equation (1 + 3x sin y)dx - x2 cos ydy = 0 , we let the substitution w =…

A: Solve the following

Q: ) Consider the integral TTY sin dydx. orl o g roloi T tiv ane b onqua Aanitoom wtelole 211 Z08-11 a…

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Q: 3+5n 1. an n+n

A: the given sequence,an=3+5n2n+n2

Q: Find the gradient of the function at the given point. W = x tan(y + z), (3, 7, -3) Vw(3, 7, -3) =…

A: Given;  w=x tan(y+z), (3,7,-3).

Q: 2. x3 - y3 = c³, find y" %3D HOOAT d²x 3. x* = at?, find dt2 1983

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace tr 9t sin 7t Click here…

A: L9tsin27t=L9t12-cos2·…

Q: Evaluate the integral. m/4 cos ti+9 snt d

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Q: (a) Find the area of the region bounded below by the curve y = r² and above by the line y = 4 (b)…

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Q: Given the function glx) = -, find the x-value that satisfies the Mean Value Theorem on the interval…

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

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

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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: Let S be a set of m vectors in R". Determine the following statements as True or False. a) If S is…

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Q: Express the given equation in polar coordinates. 16xy = 121 121 ? cos 0 sin 0 = 8 121 r² tan 0 = 16…

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Q: OR = {(r, 0): 0 <r< 6 cos(30), 0 < 0 < n}

A: Follow the procedure given below.

Q: 1. S v2x – x² dx 1+x2 2. S* dx 1+x3 3. SV1+ v1+x dx 4. Set up only the integral(s) that will compute…

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Q: (e) Compute y' if y2 = xe + ye-

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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: Find the volume of the solid generated if the region bounded by the parabola y2 = 4px (p > 0) and…

A: Given