Use the shell method to find the volume of the solid generated by revolving the region bounded by y = x² , y = 4 and x O about the y-axis.

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

A: Given: fx,y=x2+y2 The constraint equation is: gx,y=x+2y-20

Q: Solve the following differential equations of xy'dx+ (x'y' +1)dy = 0

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

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

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Q: A barge is being pulled by two tugboats that are 118 feet apart, as illustrated. Find the angle…

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Q: Graph 1 Graph 2 Graph 3 6- 2- -8 -6 4 -2 -2- -6 4 -2 4. 4 6 -2- -2+ -6+ Function? OYes O No OYes O…

A: To check a curve of a equation is function or not, simply draw many imaginary lines parallel to y -…

Q: Let A = (1,0, 2) and B = (6, -2, 3). Solve for projĄB.

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Q: For each problem, find the particular solution of the differential equation that satisfies the…

A: The given differential equation is: dydx=exy2 ; y-2=2e3+3e3e   As we know that; The Power rule:…

Q: 4.1 Consider the three permutations in S6: 1 2 3 4 5 6 4 5 6 2) 3 1 1 2 3 4 5 136 5 2 4 1 2 3 4 5 S…

A: Given

Q: Find the area of the region enclosed by the rose r = 2 cos 30. NOTE: Enter the exact answer. A ||

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Q: Write each sentence in symbolic form. Use p, q. r, and s as defined below: p: Stephen Curry is a…

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

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

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

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Q: 立 O EXPONENTIAL AND Table for an exponential function The funcuun g is defined by the following…

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

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Q: Which of the following series is convergent? 00 (-1) 4. n=1 O None of them. 00 2(-1) 6. n=1 00 6. 11…

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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: Find the area of the shaded region. r = V cos 20 r = 2 cos 0 NOTE: Enter the exact answer. A =…

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Q: graph of the function "arccot(x)".

A: We have to draw the graph of the function "arccot(x)".

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: ꭍkg(x)dx=___ where k is a constant * a.(k/2)ꭍg(x)dx b. ꭍg(x) c. kꭍg(x)dx d.1

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Q: 1+3" 5. E 00 By the series test: n=1 2.

A: By Ratio test the given series diverges. Now, what the Ratio test is Suppose we have the series ∑an.…

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

A: Given:      fx=7sinx2 interval 0,π4 Volume of solid using cylindrical shell method is…

Q: 2х x-1 lim X-3 6- 2х

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: What is the minimum product you can achieve from two real numbers, if one of them is three less than…

A: This question is based on application of derivative.

Q: Just set up the integral. A spring has a natural length of 20 cm. A 40 Newton force is required to…

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Q: Españe Find an equation of the ellipse that has center (-1, 2), a minor axis of length 2, and a…

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

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. X + dy

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Q: Find the limit of the sequence 7 n + 2 lim Show your work. V2n+7

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Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² y2 + x² = 16,…

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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: Find the arc length L of the graph of r(t). r(t) = 4 cos(t)i + 4 sin(t)j+ tk, 0<t< 27 L

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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: If f(x) = (1 − x)2 and g(x) = 8 − x, find f(g(x)) and g(f(x)) f(g(x)) = g(f(x)) =

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Q: The monthly profit, P(x), of a company is expectedyto change at the rate of 6,498 P' (x) = 3 – (2т -…

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Q: Find the solutions of the system of inequalities by graphing: x + y 1

A: This is a problem related to inequalities. Based on the graph of both linear equation we can…

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 a polar equation for the curve represented by xy = 4.

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Q: Let f(x) = VT +k, where k is a constant. Suppose we want to evaluate | f(x) dx. f(x) dæ dx – 2 dx +…

A: Given:   Let fx=π-2x+k then      ∫fxdx=∫π-2x+k dx                      =∫πdx-∫2xdx+∫k dx taking…

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

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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 the equation of the line tangent to Y = 3x² +x + 1 at = -3 %3D %3D O y = -17x - 26 o y = 6x – 3…

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Q: Water is fallins on a surface vettins A Greuer arca that is expanäns at a rate of 9/S. hov fost is…

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Q: cos x dx 1+2 sin x

A: SOLUTION-

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

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Q: Εvaluate: 1. E2. (2) 3i+1 31+

A: You have submitted multiple questions. According to Bartleby policy, I'll solve only the first…

Q: Find the area enclosed by the curves f(x)=38−x^2 and g(x)=x^2.

A: Solving