Q1. Let f(x, y) = 3xy +/- $. 1 8 (a). Find far(x, y). (b). Find fay(x, y). (c). Find fyy(x, y). 100⁰

Q: What is the distance between the given planes? P1: z= x + 2y + 1 P2: 3x + 6y - 3z = 4

A: To solve the given problem:

Q: Match the third order linear equations with their fundamental solution sets. 1. y" - 9y" + 20y = 0…

A: Match third order differential equations

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

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Q: Find the following using the table below. X 1 23 4 f(x) 4 32 2 1 ƒ'(x) || 2 1 4 3 g(x) 34 1 2 g'(x)…

A: we are given the table of functions and their derivative at certain values, we need to find out the…

Q: Let L be the line segment between (1, 2) and (4, -4). Find the area of the surface generated when L…

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Q: -4-3 4 3 2 1 -1- -2 -3- 1 f(x) 2 3 X g(x) 4 5

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Q: Find the derivative of the function. f(t)=√3+ tan(t)

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Q: If an amount P is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

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Q: 4x(4-x2)1/2  Find the antiderivative

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the 2 conic section x² -…

A: To find the center, foci, vertices, asymptotes, and radius, as appropriate, of the following conic…

Q: Problem 3 Find the areas of the following regions contained in the (x, y)-plane. (1) R = {(x,y) :…

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Q: Find the arc length function for the curve y = 2x3/2 with starting point Po(16, 128) s(x) = ||

A: The given function is,The given point is,The lower limit of x is  and the upper limit is

Q: Find f. f"(x) = -2 + 36x - 12x2, f(0) = 2, f'(0) = 18

A: Given, .Given,  f(0)=2, f'(0)=18.We know,

Q: An office machine is purchased for $7400. Assume that its salvage value, V, in dollars, depreciates,…

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Q: Given F(1) = 1, F'(1) = 1, F(2) = 3, F'(2) = 7 and G(2) = 1, G′(2) = 5, G(3) = 6, G′(3) = 2, find…

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Q: 7x 1+2x 2+1 x_3+8 x_4+9x_5 = 69 9x 2+3 x 3+4x_4+4 x 5 = 54 4x 1 + 6 x 2+5 x_4+4 x 5 = 40 2x 1 + 10 x…

A: We solve the following system of linear equations using the Gauss-Jordan Elimination Method:

Q: es of x in the interval [0,2ë] at which the graph 0 as a horizontal tangent.

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Q: dw dt ne derivative where w = xyz, x = 5t³, y = 3t¯1, and z = 6 |z=6t-2 1

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Q: Find the area of the following region. The region common to the circles r = -8 sin 0 and r=4 The…

A: The region common to circles and

Q: Change the order of integration. S J f(x, y) dy dx

A: given

Q: Find the first partial derivatives of f(x, y) = 9x³y° + 6x³y² +2. af ax ||

A: Given, .Formula of partial derivatives:

Q: for

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Q: Find dy dx xy + y² = 5 dy-0

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Q: The median home value in Ohio and Wyoming (adjusted for inflation) are shown below. Ohio Wyoming…

A: The median home value in Ohio and Wyoming YearOhioWyoming 19505030041300200010370096600Let x be the…

Q: 3. Water drains out of a container in the shape of an inverted pyramid at the rate of 10 cm³ / min.…

A: Water drains out of a container in the shape of an inverted pyramid at the rate of 10 cm3/min. The…

Q: 5. §11.5. Q31. Use a chain rule to find the value of dw dxs=1/4 if wr² - rtan 0, r = √s, 0 = πs.

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Q: Find an equation of the following ellipse, assuming the center is at the origin. Sketch a graph…

A: The standard equation of an ellipse with the centre at origin is

Q: Suppose the demand for a product is given by D(p) = −4p + 111. A) Calculate the elasticity of demand…

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Q: Determine the point(s) at which the graph of the function f(x)= horizontal tangent line (when f'(x)…

A: The given function is

Q: How many permutations are there of 43 objects when taken 11 objects at a time, if a particular one…

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Q: Differentiate. f(x) = 7e³x f'(x) =

A: we need to find out the derivative of the given function.

Q: 5. Solve the second-order equation xy" +2y' = 12x² by making the substitution u=y'.. 6. A tank with…

A: A tank capacity is  400L " data-mce-style="font-size: 113%; position: relative;"…

Q: Find three positive numbers whose sum is 160 and whose product is a maximum.

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Q: For the demand function q = D(p) = 500 (p+1) ³' 3 find the following. a) The elasticity b) The…

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Q: 1. Let g(x) = ln ((f(x))² + x). Determine g'(5) if f(5) = 2 and f'(5) = 3.

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Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

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Q: 13. If f(x)= x-1 I. II. III. x #1 x = 1 which of these statements are true? lim f(x) exists f is…

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Q: 2. a. b. The distance travelled by an object is given by the equation: d(t) = 20t 1+t2 t20. What is…

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Q: Suppose that the world's current oil reserves is R = 2180 billion barrels. If, on average, the total…

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Q: Set up a double integral in polar coordinates to find the volume of the solid bounded above by…

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Q: Solve the initial value problem [x²y" + 9xy' +12y = 120x¹ (x>0) [y(1) = 2, y' (1) = 28 given that {…

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Q: 3a If f(x) is continuous and ſ³ª f(x)dx = 496.8, what is a [" Round your answer to two decimal…

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Q: Find the length of the curve x = 6y from y = -5 to y = 5. Write the exact answer.

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Q: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting…

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Q: 2. Find a function f such that f'(x)= xf(x)-x and f(0) = 2.

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Q: 7. The arch of an underpass is a semi-ellipse10 meters wide and 4 meters high. Find the clearance at…

A: We solve the given problem by using the concept of the ellipse.

Q: ex - 32 √x +x 22

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Q: Differentiate. g(t) = 14t g'(t) =

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Q: The velocity of a particle moving along a line is a function of time given by 79 t² + 12t + 27 v(t)…

A: The velocity of a particle moving along a line is a function of time is given by,   Find the…

Q: Evaluate the following integral 8 ["* e* dx е 0

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