Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 146 in.³, and is constructed using the least amount of material? (Round your answers to two decimal places.) y = (No Response) in (No Response) in Ⓡ

Q: Question 13 of 20 View Policies Current Attempt in Progress Determine whether the statement is true…

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A: Given, ∑n=1∞1nπ

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A: We have to explain why a sine function is used to model the number of daylight hours.

Q: 18 Find p. q if f f(x) dx + ³ f(x) dx = f f(x) dx. (Give your answers as whole or exact numbers.)

A: A detailed solution is given below.

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Q: The absolute minimum is at one of the local minima. True or False

A: It is indeed true.

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A: nth term of the Geometric progression , an= arn-1. Note : As per Our Guidelines , we can solve…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 7-X Ilm x-7+ x² - 49

A: using simplification,

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Q: Given: f(x) = x³ − 6x² + 9x + 5. Find the ABSOLUTE MINIMUM value of f (x) on [−1,2]. A. -11 B. 7 C.…

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Q: Question Rewrite the following quadratic function in standard (vertex) form. Enter exact values and…

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Q: 8. Analyze the graphs of f', then list all intervals where f is increasing or decreasing. f'(x), 1-…

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Q: 5. * y ↑ Add File 6. * sin x 1 + cos x y = cos² sin x 1 Add File

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Q: Evaluate the following integrals: 1. dx 2. f6²+1²+6 dr 3. (3x - 5)(2x²-x+5)dx 4. Solve the initial…

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Q: If the line r = (2-t, -2 + 13t, 8t) is the normal tangent line to the level surface axyz²by² = -14…

A: answer is in next step . please give a like !!

Q: . (D³ - D² - 4)y = 0

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Q: Find the characteristic equation of the matrix by inspection. -9 6 7 -3 0 30 0 4 The characteristic…

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Q: ii) Find the exact area of the surface obtained by rotating the curve y = x³ + 1 ≤ x ≤ 2, 1 3 12x 9

A: Use Area of surface  formula.

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Q: Evaluate F. dr. F(x, y) = 7xi + 6yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2

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Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 3e -2x

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Q: O a. La función no tiene punto de inflexión. b.x = 1 & X = - 1 O.c.x = 1 d.x = - 1

A: We can find the inflection point as below.

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A: given y=∫0u9+10t2dtTo find: dydu

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A: As we know the expression for the gradient vector. ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y The given…

Q: ! x (x3-2x²+x)(x²+1)* Let f(x) are any constants, which of the following decompositions into partial…

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Q: 9. Analyze the graphs of f', then list all inflection points and intervals f that are concave up and…

A: Given Graph of f'x

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A: We have to find if given series converges or diverges.

Q: < rev The demand for a product is given by D(x) = 170e-002, where x is the number of units sold each…

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Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=&lt;8,-6&gt; and  3v=3-1,23v=&lt;-3,6&gt;

Q: 9).  Find the general solution to the differential equation. y' = 2xy2 y =     PLEASE SHOW STEP BY…

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Q: Graph the integrand and use known area formulas to evaluate the integral. 4 ja S (10-|x) dx -4 Use…

A: Topic = Area

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A: I have solved step by step all parts in detail.....go through the solution

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A: The objective is to find the solution.

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Q: 1 1. d V

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Q: Choose the expression that completes the following equation so that it is an identity. tanx+cotr = O…

A: Given,  tan(x)+cot(x)=sin(x)cos(x)+cos(x)sin(x)                        =sin2(x)+cos2(x)cos(x).sin(x)…