dy (2xy + x²) = 3y² + 2xy dx %3D Choose... Choose... Homogeneous Differential Equation Differential Equation of order 2 and degree 1 dy Separable Differential Equation Linear Differential Equation Exact Differential Equation sin x- +2y= tan Choose... dx 2 dy 3x e-4y Choose... dr 3 2 d² y 2 dy 1+ dx Choose... dx² x dy (1+e*/y)+e*/y 1 - Choose... y ) dx

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is 1.…

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

Q: f (x) = x² – 2x ; a = 1 f (x) = |x| ; a = 0 f (x) = ; a = 0 3 x+1 f (x) = ; a = 3

A: f(x) =x2-2x  ,From graphContinuous and differentiable at a=1

Q: Use the EraPh to fal evaluate te linit f(x) it

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

Q: Show that la 1 1 1 a 1 - (а + 3)(а - 1)3. - 1)³. %3D 1 1 a 1 1 1 a

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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)

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Q: By the series test: n=1 n´ +6n+3 6.

A: To determine whether the given series converges or diverges.∑n=1∞5n2+6n+3

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

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Q: sin t = (eit – e-i#)

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

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Q: If f(x) and g(x) are two functions defined on an interval then, ꭍ{f(x)±g(x)} is equal to? a.…

A: We have to choose correct option.

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: (a) Find lim 0 arctan(3r)

A: Since you have posted multiple questions which are not interlinked i can do first question as per…

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: (a) Find an equation of the tangent plane to the surface at the given point. x + y +z = 11, (4, 5,…

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 8 cos(t)i + 5 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Solve it.

Q: The function f(x) = x* + 8x has O a local min at x = -6 and a local max at x = 0. O a local max at x…

A: Use second order derivative test for finding the local maxima Or local. Minima

Q: Item # 5. 15 pts The following figure shows the graphs of y = f(x) and y = g(x), together with the…

A: A=2.5∫-3-1 f(x) dx = 2.5B=3.3∫-11f(x)dx=-3.3C=2∫13f(x)dx=2D=3∫-3-1g(x) dx =-3E=4.3∫-11g(x)dx…

Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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Q: Determine whether the following series is convergent or divergente: (– 1)" n =1 n6 +7

A: The detailed solution is given below Thank you

Q: Evaluate the integrals. Use a capital C for any constant term. 5x + 6) dx = Preview syntax error…

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Q: Find the sum of the series 18 54 2+ 5 +... (if it exists). If the sum 125 - 25 does not exist,…

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

Q: Which of the following p-series is convergent: Σ n=1 3. 2. 2. n=1 n=1 Σ n=1 9.

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

A: Given;  Minimize :(x, y) =x2+y2 Constraint: x+2y-20=0.

Q: The series 2 1 is convergent. n =1 n(2) Select one: O True O False

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

A: The given function is: f(x,y,z)=x2+y2+z2 which is to be minimized with the constraint function…

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

A: Given equation passing through the points (5 , -3, -2)  and  -23 , 23 ,1

Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: Find the curvature K of the plane curve at the given value of the parameter. = ti +tj, t = 3 36 r(t)…

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Q: x- 1. a. Find the derivative of y =

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Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z = -13. Find the following. 1. A vector…

A: The given planes are: x-10y-2z=3 and 2x-y+z=-13 Let us assume z=t on the line of intersection, where…

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Using she'll method, volume is evaluated.

Q: A spring has a normal length of 10 inches. It has also been determined that its spring constant is…

A: Given that a spring has a normal length of 10 inches. It has also been determined that its spring…

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Evaluate the iterated integral by converting to polar coordinates. 8 - y2 Vx2 + y2 dx dy

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Q: iut n=1 Find the radius R of convergence for the series

A: Just use the formula of Radius of convergence and find it. Radius of Convergences, R= 1

Q: -5 -4 -3 -2 -1 1 2 5 -2 -3+ What is the least possible degree of the polynomial graphed above? 3.

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Q: the solution for the given initial value problem. Trace the graph of the solution and describe its…

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Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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Q: S x²(csc2x³)(cot2x³)dx

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

A: Given that: x + y &gt; -1 ; 2x + y &lt;= -3  We find the solution of the system of inequalities by…

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

A: Use the disc method to find the volume of the solid.

Q: Use the integral test to test the series 2 3+5n n =0

A: Series ∑n=0∞ 23+5nWe need to apply integral test.

Q: dy Solve dx (25 + x²)(49 + y²)

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Q: y" + 5y + 3y = 0, y(0) = 1, y(0) = 0.

A: This is a problem of differential equation. Solution consist of complimentary function and…

Q: A man 167. 68 cm tall is walking directly away from a lamp post fronting a building at the rate of…

A: A man 167.68 cm tall is walking directly away from a lamp post fronting a building at the rate of…

Q: Simplify tan( arccos ). V3 O1 V3/3

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