A box without a lid is required to have volume, V = 32000 cm^3. Minimize the amount of cardboard required to create this box. Do NOT use Lagrange Multipliers.

Q: Find the area of the region between the curve y = 1/1 + x^2 , 0 ≤x ≤√3, and the x-axis.

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

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Q: Use, 0 = 60°, to write the rotated conic section given below, in the x'y'-plane. x² - y² = 9 Select…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram j and i - 14j as adjacent…

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Q: Consider the following function. f(x) = 1 |x - 51 (a) Find the critical numbers of f. (Enter your…

A: You must have idea how to find critical point of any function. By using those value you need to find…

Q: 2x-√5+4x lim x→6 x-3

A: The given limit is limx→62x-5+4xx-3

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Q: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the…

A: We can solve as follows

Q: Find the equation of the conic with focus at the origin, eccentricity e and the directrix y = d.

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Q: Evaluate the iterated integral below. TU /4 1 *** s y cos (x) dy dx 0 0

A: We need to find out the double integration.

Q: 2. S (2x-5)dx x2-5x+3

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Q: 7. Let f(x,y)= a) T 2 xsin y-y, find sin x+y Simplify and give exact value

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: ) ㅠ S tan5 (2x) sec² (2x) dx 2

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Q: For the next two exercises, determine whether the integral converges or diverges. f 4 dt sint + √t 5…

A: For (5),…

Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 1 I = 1 3 5 xn ..... (2n-1) Find the…

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Q: Use a power series to approximate the definite integral, I, to six decimal places. 0.1 60⁰ I I = 1 1…

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Q: The angle between 0 and 360° that is coterminal with - 119° is

A: To find out the coterminal angle of -119 degrees.

Q: x+4y=3 2 -4 =Z-4

A: parametric equation is :    x= -4+2t , y=3-4t , z=4+t

Q: Solve the given differential equation by undetermined coefficients. y" + 2y = 2x + 3-e-2x y(x) =

A: Follow the procedure given below.

Q: Given y(4) — 6y"″ – 36y″ + 216y' = t² − 5 + tsint, determine a suitable form for Y(t) if the method…

A: To find the suitable form of yt by method of undetermined coefficients of the differential equation…

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) 15…

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Q: Use the graph off to find the largest open interval on which f is increasing, and the largest open…

A: Here we have to find the intervals where f is increasing and decreasing.

Q: 9. S coslnxdx X

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z)=√√√x² + y² + z² (8,…

A: Our Aim is to find the gradient of the function at the given pointwhere Function is…

Q: se method of undetermined coefficients. y"-2y+2y=2x-2.

A: The given differential equation is: y''-2y'+2y=2x-2 So, we can also write as: D2-2D+2y=2x-2 The…

Q: Find the radius of convergence, R, of the series. (x - 10)" n n = 1 R = 10 Find the interval, I, of…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

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Q: A function is given. g(x) = 7 + 1/2x;    x = 1, x = 7   (a) Determine the net change between the…

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Q: Write an equation for the quadratic graphed below: x-intercepts: (-2,0) and (3,0); y-intercept:…

A: NOTE: Refresh your page if you can't see any equations. . x-intercepts are so the factored form of…

Q: Find the solution of the given initial value problem. 3y"+27y810y = 0; y(0) = 11, y'(0) = 57, y"(0)…

A: Given :3y'''+27y'-810y=0

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Consider the vector-field F(x, y) = y²i-xj, and let C be the arc of the parabola y = k – x² from the…

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Q: Find the vector component of v = (4,-1,7) along b = (4,4,-7) and the vector component of v…

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Q: termine whether the following is convergent or

A: Please refer to the image below

Q: Test the series for convergence or divergence. 8 Σ· n = 1 2 n

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Q: A function is given. g(x) = 7 +  1 2x;    x = 1, x = 7   (a) Determine the net change between the…

A: Given the function gx=7+12x , x=1, x=7

Q: f(x) = cos (In (3x))

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Understanding of inflection point calculations are required to understand this problem.

Q: Find the coefficient of the term x6y³ when the expression (x + y)⁹ is expanded by the binomial…

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Q: Find the derivative of Yfind the equation + e* cos 2x I = 8 Use the of the line tangent to the curve…

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Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A: A detailed solution is given below.

Q: Exercise 17. Compute the following integrals 1 (a) -dx 2 sin² x + sin x cos x cos²x (b) -d.x 2 + tan…

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Q: ГО 1 2 1 1 3 2 1 2 3 3 1 0 0 0 3 3] Ld -d -а b C 3 2 4 5

A: Given: Matrix data is given

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium 100 has been reduced…

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Q: 6. Find the equation of the tangent plane to the surface: ==√√4-x²-2y², at (1,-1, 1)

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Q: Evaluate the iterated integral. 1 4y x+y Jy 0 12xy dz dx dy

A: Given ∫01∫y4y∫0x+y12xydzdxdy

Q: If f(x) = etan-¹(x²-3) then f'(x) at x = 2 is equal to

A: SOLUTION-

Q: True or False? All prime numbers are positive integers. True False

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Q: Exercise 10. A wire of length 28 m is to be cut into two pieces. One of the two pieces is to be made…

A: topic- Application of derivatives

Q: e dr -da xux

A: