Find the value of ou/ox and du/oy if u(x, y) = x² + y²-2x²y;

Q: Find the volume of the solid graduated by revolving the area bounded by the given curves about the…

A: Given that ,find the volume of the solid by revolving the area about .

Q: Express the following sums using sigma notation. a. 1+3+5+7+...+99 b.8+11+14+...+32 c.…

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Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

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Q: Using the table of standard transforms, find the inverse Laplace transforms of the following…

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Q: 10 fedx = ² + copa 2 x to T V - © If Lº F If √ f(x) dx = 3 then the average value of f(x) on the…

A: Note : As you posted multiple subparts I need to solve only first three sub parts.

Q: Use linear approximation, i.e. the tangent line, to approximate 18.22 as follows: Let f(x) = x² and…

A: f(x)=x2, x=18Approximate 18.22.

Q: Question 1 An open flat-topped water trough in the shape of a triangular prism is emptied through a…

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Q: b) Find the coordinates of the turning point of the function below and state whether it is a maximum…

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Q: Is this vector field Conservative? (Conservative If so: Find a function f so that F= Vf f(x,y) = Use…

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

Q: (x² + y² + 1)dx + (x² - 2xy)dy = 0

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Q: x(t) = (t +3)² − 4; y(t) = (t + 3) traces an ellipse. a parabola. O a circle. O a line. O a…

A: According to bartleby guidelines we supposed to do the first three sub parts of multiple sub parts…

Q: Question 2. Find the global maximum and global minimum of the function f(x) = x²eª on the ellipse x²…

A: To find: The global maximum and global minimum of the function on the ellipse .

Q: The daily marginal revenue function associated with selling a widgets is given by R'(x) = -6x² + 8x…

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Q: How does one go about solving this? I could use some help please. 4 5 Assume s = 0 corresponds to…

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Q: A particle is moving with the given data. Find the position of the particle. v(t) = 1.5√/t, s(25) =…

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Q: Consider the following ODE Solution can be sought of the form where dy₁ =1y₁ +(1)y2 da dy23y1 +(2)y2…

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: Using the midpoint Riemann sum, we can estimate the area.

Q: Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of…

A: rules:1) when  is positive angle is measured anticlockwise from 02) when is negative angle is…

Q: The Computer Password As you enter the spacecraft, you look to connect your computer. To your…

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Q: 1 Graph the function f(x) = -x 1 X x 0

A: (1) To graph the following function.(2) To find the discontinuitie(s) of the above function.

Q: da potential function for the vector field F(x,y) = (16xy + 8y - 2,8x² +8x).

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Q: graph in polar using: 1.symmetry about origin 2.symmetry about x-axis 3.symmetry about y-axis…

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Q: For each of the following vector fields F, decide whether it is conservative or not by computing…

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Q: 11. Using separation of variables differential equation, (8 + x²) dy dx = X y solve the

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Q: Use Laplace Transforms to find the solution to the initial value problem y′ + 5y = e^(−2t), y(0) = 1

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Q: 8(a) Find   tan(u/2)   if   sin (u)=0.841   and u is in Quadrant-I (assume that 0<u<2pi). tan(u/2)=…

A: (8)(a) sin⁡(u)=0.841u is in Quadrant-I ⇒u2 is also in Quadrant -I

Q: QUESTION 8 Find the partial derivative. Let z = f(x,y) = 8x² - 12xy + 4y3. Find - O 16x +12y2…

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Q: Use the given function and the given interval to complete parts a and b. f(x)=2x³-24x²+72x on [1,7]…

A: NOTE: Refresh your page if you can't see any equations..The given polynomial function is,The given…

Q: Question 1. Let f(x) = (x³ + x² + 1)e ³+1 and g(x) = ex³+1¸ (a) Draw a rough sketch of the graphs of…

A: The given curves are   and

Q: Find the absolute minimum and maximum. value of the function. f(x) = x +49 +7 on the interval [1,98]…

A: We solve the given problem by using the differentiation concept.

Q: Suppose F(x, y) = (2x – 2y, 6xy) and C is the line segment starting at (3, 0) and ending at (5, —4).…

A: The line segment C is defined by its two end-points:(3, 0)(5, -4)The equation of the line segment…

Q: |x - 61 lim X-6 x-6 -5 4 2 -2 5 10 X 4

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Q: Suppose that a thin metal wire in the shape of a semicircle occupies the curve C, where C is the top…

A: Given the mass density of the wire is

Q: A) Consider the vector field F(x, y, z) = (2yz, 9xz, —7xy). Find the divergence and curl of F.…

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Q: (a) ê ☺ e-3 (b) 3 e³ (c) (d) 2e³ (e) eg lim 348 x+2\* 2- =? lim (bven). =

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Q: 2486. HW What would the graph of this fundin: f(t) = (+ +1) ³²-3 be when a tronsformation the graph…

A: we have given function , we need to find the transformation of the above function and graph

Q: n a limit question involving epsilon (E) and delta the value of E ... please select correct option…

A: In a limit question involving epsilon (E) and delta the value of E ...

Q: bars at 100 cases A company is decreasing the production of a day. All cases produced be sold. The…

A: Solution is following in step 2.

Q: Solve the equation xydx + (x+1)dy = 0

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Q: Convert the following integral to spherical coordinates and evaluate: .9 Робо √81-72 √81 2²-y² ; − (…

A: I=∫−99∫081−x2∫081−x2−y2e−(x2+y2+z2)32dzdydx

Q: Given f(x) = 2(x - 1)(x + 3)³(5x + 1)^(x − 3)¹ List the zeroes (ex. 4, 6, -2): Degree: End behavior:…

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Q: find the general solution (x^2+y^2) dx - xydy = 0

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Q: An epidemic spreads through a population at a rate proportional to the product of the number of…

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Q: Consider two functions f and g on [3,9] such that [f(x)dx= a. 5 S71(x)dx= 7f(x)dx= 28 (Simplify your…

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Q: the area or the snade region r=1+cos 0 r = 3 cos 0 (9)

A: To find the area of the shaded region.

Q: 7 Find the solution to the IVP: y'+1y = xyż where y(0) = 1. Use lower case c for the constant in…

A: given differential equation

Q: 90 ft (a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to…

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Q: Solve the initial value problem: y'= -0.04y + 20 y(0) = 30 y(t) =

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

Q: of the integral (²2 - 1) ² (² + 1)² then which of the following is true for the seperation of this…

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Q: Which statement is true about the infinite series It is absolutely convergent 1 In 2 + In 3 1 In 4…

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