A rectangular box is designed to have a square base and an open top. The volume is to be 1372 cm³. What is the minimum surface area that such a box can have? Answer Keypad Keyboard Shortcuts 500 cm²

Q: f(x) = 2x + 3 x 1 1 ; a = 1

A: limx→1+f(x)=limx→1+x2+2                =12+2=3limx→1+f(x)=3

Q: α 4" n=2 5n!

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: 46. yz = ln(x + z)

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Q: (x+2y-1)dx+(5-2x-y)dy=0; y(0)=0, implicit solution  Also: a) Value of y if x=2

A: By arranging the question and then taking boldfaced ratio we'll get the answer. Here,I am providing…

Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence.…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: We have to find the value of c.

Q: Consider the function on the interval (0, 27). F(x) = 1/2* + cos x (a) Find the open intervals on…

A: The given function f(x)=12+cos x on the interval 0, 2π

Q: Determine whether the sequence converges or diverges. If it converges, please compute the limit.…

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Q: f(x) (a) Evaluate lim X-B (b) Evaluate lim f(x) X-8 (c) Write down the equation (s) of asymptotes…

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Q: diverge

A: answer is in next step

Q: Write an arithmetic expression for the function f∘g, and find the value of f∘g(5) Write an…

A: We have to find the function

Q: Ordinary differential equation dx/dy = ( x-e-x )/( y+ey )

A: We can solve as follows

Q: Find the limit. lim (t i 6 j + t² k) t-5 lim (t i − 6 j + t² k) = i t-5 i+ i j+ i k

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Q: Find the horizontal and vertical asymptotes of the curve. 6x²+x- - 9 у x² + x - 56 X = (smaller…

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Q: 1093 1 162

A: answer is in next step

Q: 2. Geometric series a. Consider the function defined by the geometric series f (x) = other words,…

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: Select all of the following graphs which represent y as a function of z. 3 20

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Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

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Q: y" + 6y' +5y=10sin (2x)

A: First find AE(Auxiliary equation) and PI ( Particular integral)  then CS ( Complete Solution) is PI…

Q: Set up the definite integral required to find the area of the region between the graph of y = 19 -…

A: area between curve

Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d6 = dx6 x

A: We have to find the derivative

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 34…

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Q: d Calculate[ri(t) r₂(t)] and[ri(t) x r₂(t)] first by differentiating dt the product directly and…

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Q: the vector-valued function.

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Q: 5) y=-x(x²-4), Y A B C 4( C( ) B( ) )

A: we have to find the behaviour

Q: [₂ 1 = fx dx I = I = x² dx

A:

Q: If f(3) = 11 and f '(x) ≥ 3 for 3 ≤ x ≤ 7, how small can f(7) possibly be?

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Q: Write the first four terms of the sequence whose general term is given below. a₁ = ( − 1)^(n+7)

A: Given, an=(-1)n(n+7) The first four terms of the sequence is given by,

Q: QUESTION 14 Calculate the maximum value of 4x + 6y subject to the constraints below: 3x + y ≤ 16 x +…

A: The solution of all the inequalities is the intersection of the shaded region of the all…

Q: (a) Estimate the area under the graph of f(x) = 3√√x from x = 0 to x = 4 using four approximating…

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Q: Find the derivative of f(x) =de 22 Of(x) e (e-2x) ²-e -2x O f'(x)=x²e-2 (-2) O (E) None of these O…

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Q: t Starting with an initial value of P(0) = 30, the population of a prairie dog community grows at a…

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Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

A: Given

Q: trignometric

A: We will find the solution.

Q: Write the given (total) area as an integral. • The area above the x − axis and below y = 4 − x²

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Q: lim x → ∞0 5x²-x + 1 2x² + 5x - 4

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Q: Find the indefinite integral. (Use c for the constant of integration.) [(48³1 + (4t³i + 14tj -…

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Q: |ƒ(x, y) = arctan(y/x); ƒx(2,3)

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Q: Consider the solid Q limited by the surfaces: And the planes z = x² + y²₁ z=4-2²-y² y√3= x, y = 0…

A: Given

Q: Example 6 Video Example Use the Midpoint Rule with n = 5 to approximate the following integral.…

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Q: Let G₁ be z = 6-√√36 - x² - y² and G2 be the upper nape of x² + y² - 3z² = 0. If S is the circle…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 4x6_ X lim x →∞0 x³ +9

A: We need to evaluate the following limit limx→∞4x6-xx3+9

Q: 5. f(x) a=-2,2 2 √4-x2 -2 x 2

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Q: A sample of a newly discovered element, West Virginium, has a half-life of 295 years. How long will…

A: We have to find out t

Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41²³1 (4t³i + 14tj - 6√tk)…

A: Given that we need to solve the indefinite integral with using integral constant C.

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: Evaluating a Definite Integral In Exercises 37-42, use the Fundamental Theorem of Calculus to…

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Q: 2) Find the relative maximum or minimum value of f(x, y) = 3x² + 2xy + 10y² - 54x - 308y

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