P 2. ( Use the disk or washer method to find the volume of the solid obtained by rotating the region bounded the following curves about x-axis. y = √√√x, y = 6-x, x=0

Q: Find the volume of the solid that lies under the paraboloid z = 7² - x² - y² and above region R =…

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Q: II. Solve the non-linear equation: 1.) x2 - xy + 2y2 = 16 x-y=2

A: Given:  x2-xy-2y2 = 16        ...(1)x-y =2                         ...(2) To find: The value of x ,…

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: Find the general Solution of the complement of the following differential equation y"-y" - y'- 2y =…

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Q: 1-1 flood

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Q: The function z(x, y) obeys, = -2e Which of the follow represents a valid first step for finding u(x,…

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Q: Find the angle that maximizes the area of an isosceles triangle with legs of length / = 10. 1 (Use…

A: The given isosceles triangle with legs of length l=10

Q: Calculate the area contained between the curve y = cos x,-<x<, and the line y = 1/2. T 3 √3 Option 1…

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Q: In Exercises 1 and 2, compute the solution of the given IVP. d²y 1. +9y2 cos(3t), y(0)=2, y'(0) = -9…

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Q: Analyze and sketch the following curves.Indicate the intercepts, asymptotes, and critical points

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Q: 1.) a function f f (x,y, 2) = 2-eªsing is given. of this function p= ((n 3, 31,-3) at the point what…

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Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: Given f(x) = x-1 2 on [- 2, 2]. x²+1 a. Find the critical numbers of f on the given interval. b.…

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Q: Evaluate using integration by parts or other techniques of integration. 2 9x √x² e ³x dx fx² e ³x dx…

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x² -…

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Q: n Express the function n, lim 21³ n→+∞ n5 i=1 and then find the limit. in closed form

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Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2) s²-4

A: Given :L-13ss2-4

Q: Answer it correctly, neatly, and comprehensively.  Written answer only.  A rectangular box with…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:-

Q: Which point is on the line parametrized by the following? O (-1, 2, 3) O (3, 2, 0) O (0, 0, 0) O (1,…

A: This question can be solved using the equation of line in three dimensional space.

Q: 5. Set up an iterated triple integral in the order dædzdy that gives the volume of the solid in the…

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Q: Evaluate the double integral: r2 Y To 0 √y¹/3 x7 +1 (Hint: Change the order of integration to dy…

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Q: 4. A spotlight is on the ground 20 feet away from a wall and a 6-ft tall person is walking towards…

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Q: Find the general Solution of the complement of the following differential equation y"- 3y"+9y'+ 13…

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Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤b, 0≤z≤ 1, find the one for…

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Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

A: To find the volume of the solid of revolution formed by rotating about the x-axis the region bounded…

Q: A rectangular bird sanctuary with one side along a straight river is to be constructed so that it…

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Q: Convert the rectangular coordinates (5,-5√3) to polar form. Letr> 0and 0 <0<2TT.

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Q: Find the critical point of the function f(x, y) = x² + y² + xy +7.5x C=

A: To find the critical point of the function fx, y=x2+y2+xy+7.5x.

Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We can state the Divergence theorem .

Q: (a) Solve the first order linear ordinary differential equation x sin x + (sin x + x cos x) y = xe…

A: As per bartleby guidelines we only give first question answers.

Q: Let F(x) = - [² 2 √t dt. Find F" (2).

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Q: what substitution formula is used here ?

A: the substitution formula used here is-

Q: 16y¹ fit+22 (x,y) → (0,0) (b) lim (0'0) ← (¹x)

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Q: I. 2.) Simplify. Write "undefined" for expressions that are undefined. 2 5 3 2 41610 + -6 -6 2 2

A: Given:26-64.53-62+1220We need to simplify.

Q: d. e. f. 1 R, Re 1 1 + 4.5×10²2 9.4×10² (1.7×10³ J)-(3.3 × 10² J) (1.7×10³J) = - e= (1.33) sin 25.0°…

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Q: Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

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Q: the polar coordinates to find the volume of a sphere of radius 1. -

A: Given;  Sphere of radius 1.

Q: Given f(x,y) = 6x^2 - 2x^3 + 3y^2 + 6xy. Determine any local maxima, local minima, and saddle…

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Q: (1,0), and (1,5). 5) Find the potential function of F(x, y, z) = (e² + ye*, e* + ze³,e³ + xe² ).

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Q: trahedron enclosed by the coordinate planes and the plane x+2y+z= 8.

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Q: West Z dt x North JOAN dx dt ANDRES = 25km/hr dy dt y 18km/hr

A: Given: Speed of Andres  = 18 km/hr Speed of Joan  = 25 km/hr

Q: sketch the graph of fox) = 2 1+x²²

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Q: Let p(t) represent the population of a major city t years after 1950, as shown in the table and…

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Q: A) Suppose that f(5)=-8, g(5)= 2, f^’(5)=10 and g^’(5)=-4, find h^’(5)=, if h(x)=[f(x)+2g(x)]^4 B)…

A: Suppose that f(5)=-8, g(5)=2, f'(5)=10, g'(5)=-4

Q: sv x² + 2x dx

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Q: 6. I. Evaluate each determinant. тут 3-3 4 1 -5 0 -1 -4

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Q: A sales analyst determines that the revenue from sales of fruit smoothies is given by - 70x² + 420x…

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Q: Evaluate the following expressions. Your answer must be an angle in radians and in the interval 1…

A: We need to find the following expressions:a sin-1-12bsin-1-32csin-11Notice that the angles are…

Q: the Following differential equation ²²=1+ P²

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