#10 Find the dimensions of a closed box having a square base with surface area 12 and maximal volume.

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A: GIVEN : ​​ STEP : 1 ​​ STEP : 2 ​​ STEP : 3 ​​ STEP : 4 ​​ STEP : 5 ​​ STEP : 6 ​​   Let's express…

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A: Step 1:Step 2: Step 3: Step 4:

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A: Step 1: Identify the derivative rules that should be usedPower Rule:d/dx (xn) = nxn - 1 Chain…

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A: Solution:Step 1:Solve the Homogeneous EquationThe homogeneous equation is:Set up the characteristic…

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Q: Pls help me with step by step solution and accurate answer pls

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the Laplace transform of f(t).  f(t) = 8t6 + 3t4 - 2t + 5

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Q: " Do not use AI" "Answer must be hand written"

A: We are asked to find the linear approximation of the function f(x)=6+x at x=3. Then, we are to use…

Q: Which of the following is a solution of the initial value problem √ y ln(y) dx + x dy = 0 \y(e) = e…

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Q: = (2² +²+2)/2/2 dV, where D is the region in the first octant By changing to spherical coordinates,…

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Q: Consider the initial value problem. ft(t 2) y+4y= sin(t) \y(1) = 4 The largest open interval where…

A: Step 1:We are given the initial value problem: t(t−2)y′+4y=sin(t)with the initial condition y(1) =…

Q: i need the solution of part d and bonus. THANK YOU

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Q: #35

A: 29. Points: (-4, -2) and (-2, 1)Find the slope (m): m = (y2 - y1) / (x2 - x1)  m = (1 - (-2)) / (-2…

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A: Ans: minimum area:Ans second blank: value of x:Ans maximum area page 1:Ans maximum area page 2:Ans…

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Q: 43..2 ) Can you please solve this. I am trying to do practice problems to prepare for a test but I…

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Q: 17) Evaluate. Sin (x²) dx dy by reversing the order of integration.

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Q: 1 0 4 2 -2 Q1: If A=0 -6 -5 2 7 2 -1 2 0 3 -1 2 and D = 1 2 0 0 -15 6 2 0 4 1 12 Find (for two…

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A: The first derivative of a function gives us the slope of the tangent line at any point on the…

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Q: 1. Which of the following statements are true? (i) Every continuous function f : [a, b] → R has a…

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Q: 6.2.10. Let us think of the mass-spring system with a rocket from Example 6.2.2. We noticed that the…

A: If doubt then aks. Please like.

Q: Use integration by parts to determine which of the reduction formulas is correct. O 6 sec (x) dx = 6…

A: To verify which reduction formula is correct using **integration by parts**, let's proceed step by…

Q: Sketch the graph of a function that satisfies all of the given conditions. f '(5)  =  0,    f…

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Q: An open rectangular box with a square base has a volume of 1/2 cubic foot. Find the dimensions that…

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Q: V=3 Find the voulme of cylinder 2 Conic eq = x² + y² = 9) in the way of triple integrations G N 2 σ…

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Q: use the Laplace transform to solve the initial value problem.

A: Step 1:The provided initial value problem is:y′′−y′−6y=2   .........(1)with the initial conditions:…

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A: Step 1: Rearrange into separable form Multiply through by 2u to separate variables:…

Q: Find the exact length of the curve. - x = 5 cos(t) = cos(5t), y = 5 sin(t) - sin(5t), 0 ≤ Z ≤ π

A: We find the exact length of the curve defined parametrically by x(t) and y(t) by using the formula…

Q: #15

A: Growth Rate=Change in Weight​/Change in Time (months)Part (a): Between 12 and 18 monthsWeight at 12…

Q: Please help me with this question. I am having trouble understanding what to do. Please complete the…

A: Ans page 1:We used the fact : limn→∞​n+11​=0Ans page 2:

Q: C, #14

A: We draw the common graph for part (a) and part (b) after solving part (b)   Therefore, the graph…

Q: Show all steps. Correct flow = 4. Correct flux = 1.0717967

A: If doubt then aks. Please like.

Q: Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values…

A: The problem involves determining the range of values of x for which the approximation…

Q: || 8 Example: If ƒ (x + 2π) = f(x), obtain Fourier series expansion for the function given by 2x 1+…

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