Use calculus methods to find the area of the largest rectangle that can be inscribe. in the ellipse.

Q: The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m² and then divide…

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Q: Find the curvature of the plane curve at the point t = 2. K(2) = y = -4t²

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Q: Find the unit vector ey, where v = (3, 0,7). (Give your answer using component form. Express numbers…

A: Given:We are required to find:

Q: Find the general solution of the given higher-order differential equation. y(4) + y + y" = 0 y(x) =

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Q: Calculate fe25x²+4² dx dy, where is the interior of the ellipse (½)² + ( ² )² ≤ 1. (Use symbolic…

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Q: Find the derivative of f(x) 3 = 5+51 when x = -1 x² Make sure to show your work neatly and attach to…

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Q: Find all the relative extrema (local extrema) and the saddle points of the function f(x, y) = x²y -…

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Q: The rate of U.S. per capita sales of bottled water for the period 2000-2010 can be approximated by…

A: The solution is shown in step-2

Q: 3. Given 2 sin xy = 1, evaluate dy/dx. Assume each equation implicitly defines y as a differentiable…

A: Given , to evaluate .Note: Since, the student has mentioned to solve question no. 3, so we are…

Q: 1 Calculate the difference quotient for f(x) = √2x+3 (Express numbers in exact form. Use symbolic…

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Q: Use integration by parts to integrate: Answer: fæ In( In(x) dx

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Find fog and the domain of the composite function. f(x) = x² + √x, g = x²

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Q: Find the derivative of fx -5x5-3x4-7x³ XA Your Answer: +13 when x = -1 Make sure to show your work…

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Q: Find the area of the region enclosed by the following curve x-y²= 0 and x + 2y² = 3

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Q: -6x 10) Find the second derivative of f(x) = 3e³x − 8e¯ºx

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Q: Determine whether the improper integral diverges or converges. x 1 [²√ √/x dx

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Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x) =

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Q: 1. Prove by definition that the sequence {1/√n}1 is convergent. Also find its limit. 2. Prove that…

A: (1) we need to prove by definition that the sequence {1/√n} is convergent and find the limit of the…

Q: A college radio station surveyed incoming freshmen to gather information about the types of music…

A: All the data given in question.

Q: Find the interval of convergence of the series. (-1)"x" n=1 n+5

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Q: Evaluate the following integral using a change of variables. SS( R R y-x y + 2x+1 y-x dA, where R is…

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Q: Find the volume of the region under the surface z = with corners (0, 0, 0), (4, 0, 0) and (0, 3, 0).…

A: Solution is given below in details.

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

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Q: Suppose that the position (in meters) of a particle is given by = f(t) =6(t)³+25t+7 Find the…

A: The expression for the acceleration is:The Power Law:

Q: Determine whether the improper integral diverges or converges. 66 x-7 dx

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Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: You throw an object up in the air with initial velocity 20- 8 of the object is given by h(t) =…

A: As per the Bartleby Guideline only 3 sub part is allowed to solve for remaining parts please repost…

Q: sorry the equation is -x^2 - 3x - 1

A: The solution is shown in step-2

Q: If f(x) = tan ¹(72³), find f'(x). Use exact values. f'(x) =

A: If , then to find .

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

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Q: 125% of 4,320

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Q: please in good handwritten

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Find the vector w of length 7 in the direction of v = 11i + 10j. (Give your answer using component…

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Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x):

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Q: The parabola in the figure below has an equation of the form y = ax2 + bx - 4. Find the equation of…

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Q: Given the equation below, find d 27z + 3xy + y = 31 Now, find the equation of the tangent line to…

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Q: Write the first four terms of the geometric sequence satisfying the following conditions: a2 = 11,…

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Q: (a) Let z = f(x, y, z, t, w) and x = x(r, s), y = y(r, s), z = z(r, s), t = t(r, s) and w = w(r, s).…

A: With the above variables and functions, we can draw a tree diagram to represent the chain rule.The…

Q: Find the absolute maximum and minimum of f(x, y) = 5x + 2y within the domain x² + y² ≤ 3². 1.…

A: We need to find the absolute minimum and maximum of within the domain

Q: f(x, y) = x² + y² + 3x² 31² 8

A: The given function is; f(x,y)=x3+y3+3x2-3y2-8Find the local maximum, local minimum and saddle point…

Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.…

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Q: If f(x) = 3x sin cos x, find f'(x)=-4.88 To two decimal places, Find f'(2) = -7.21 X

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Q: The resistivity p of a given metal depends on the temperature t according to the equation p(t) =…

A: The solution is shown in step-2

Q: Find the Maclaurin series for f(x) = cos (x³). (Use symbolic notation and fractions where needed.)…

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Q: Use partial fractions to integrate: a. S (2²¹1) dz dx Answer: b. D. / (T Answer: X x²-3x + 2 dx

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Q: -10 (-6,0) -5 (-4/3, 0) 400 200 0 -200 -400 (8/3,0) (2,-160) 10 1. Find the domain of the polynomial…

A: Note:-Since you asked multiple subparts, according to our policy we can solve only first three…

Q: 13. IN X d -9

A: The given integral is sqrt(x2-9)/x3.

Q: Find all the relative extrema (local extrema) and the saddle points of the function f(x, y) = (y²…

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Q: If the formula y = x³ is changed by adding five as shown in red below_ f(x) = (x + 5)³ Which values…

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