An open - top, hollow plastic cylinder is made utilizing 21m² plastic available. Solve for the radius (m) of the circular base to give the max volume.

Q: Determine whether the equation is exact. If it is, then solve it. 8t -dy + (8 In y + 7)dt = 0 y…

A: Exact differential equation

Q: Given the differential equation (x²y² + x² + y² + 1) dx + x² dy = 0 with the condition y(1) = 1: 1.…

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Q: (z/(u + m) = d)dĒшAuA (! h) 3n3m(n+m=4^n-m=2) (1=m-uv+=+u)шEUE (8 (S=₂+₂)Ẹи (ə (0 = m+u)шEUA (³ (m>…

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Q: PROBLEM 1. For the figure given, determine the following if the system is in equilibrium. 1-5.…

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Q: 5. Compute the first five terms the sequence with nth term formula given by a,, - 9n³ -10n². an A)…

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Q: FCM An open-top, hollow plastic cylinder has a volume of 113 cm³. Solve for the radius (cm) to give…

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Q: The sum of 2 positive numbers = 70 Find the smallest possible sum of their squares.

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Q: Find the indefinite integral. (Use C for the constant of integration.) [s Vtan(3x) sec²(3x) dx Need…

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Q: p≤2, 0≤0≤ 12. 5050 250 2 二中二元

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Q: Determine the particular solution of the system of ODEs below. []=[][]+[]·[8]=[] » [*(6)] = 66 a)…

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Q: using logarithmic differentiation?

A: Please check the answer in next step

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Q: Let R be the region in the lower half of the circle of radius 2 centred at (x, y) = (2,6). The…

A: The equation of the circle whose center at 2,6 and radius 2 is x-22+y-62=4 The lower half of the…

Q: Prove there are no natural numbers a and b such that √a+b = √a + √b.c

A: Assume such a,b exists and prove by contradiction

Q: Suppose that a software company produces CDs (computer disks) at a cost of $2 each, and fixed costs…

A: Solution :-

Q: 1. Prove the Minkowski inequality for p > 1, that is, for all ak, bk non-negative real numbers, 1/p…

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Q: Use logarithmic differentiation to find dx 11 (x + 1)(x-4) (x - 1)(x + 4) T y =. X Need Help? Read…

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Q: 8 11 Part 4 of 4 Required information NOTE: This is a multi-part question. Once an answer is…

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Q: (a) Directly use the Bolzano-Weierstrass theorem (Theorem 2.3.8) to prove that every Cauchy sequence…

A: Details attached in the next step.

Q: M1) Match the following study designs with the most appropriate measure of association. Note that…

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Q: Solve for the relative min value of g(x) = 69-8x²2x3

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Q: A lake is stocked each spring with three species of fish, A, B, and C. Three foods, I, II, and III,…

A: A lake is stocked each spring with three species of fish, A, B, and C. Three foods, I, II, and III,…

Q: Given the function F(x)= 2x^3+3x^2-12x-7 a. Use the second derivative test to find the relative…

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Q: Prove the following infinite-dimensional version of Theorem 1.7: Let ß be a subset of an…

A: To Prove:  β is a basis of  V if and only if  for each non vector y in V. there exists unique…

Q: What is y′(x) for a function defined by the equation xcos(xy) = y −ex as it passes through x = 0

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Q: 4. Write the system in the form AX = B. Use the X-A¹B to solve for each matrix B. 7x1-2x2 = b1…

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Q: Find the indefinite integral by making a change of variables. (Hint: Let u be the denominator of the…

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Q: Given A - 1 00 34 1 331 1 I Solve the maxtrix equation Ax and b = b for x 200 150 250

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Q: 3. (UD-1) Solve the following initial value problems using auxiliary equations: (a) y" + 6y' - 16y =…

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Q: For each differential equation and function x₁(t) given in parts (a)-(c), x₁(t) is a solution to the…

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Q: Find the indefinite integral. (Use C for the constant of integration.) J x + 5 16 - (x-4)² dx

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Q: What is the big O function for the following growth rate function? f(n) = 50 n + n log n + 2…

A: If we assume base of log to be m > 2, then, for n > m, log n > 1 => nlogn > n > m…

Q: Find the eigenvalues ,, and eigenfunctions y(x) for the given boundary-value problem. (Give your…

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Q: Find an equation of the tangent line to the graph of the function at the point (1, 1). y = x cosh(x)…

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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Q: Find the equation of the circle that passes through the intersections of the circles x² + y²2 - 6x +…

A: The circle passes through the intersection of  S1=x2+y2-6x+4=0S2=x2+y2-2=0 The intersection of the…

Q: aximize z=6x₁ + 2x₂ + x3 bject to: x₁ +3x₂+ 9x3 ≤ 108 X₁ + 2x₂ + 11x3 ≤237 x₁20, X₂20, X3 20. th

A: we use simplex method the process is given below

Q: Which of these is not a way of describing a set? a. b. Set-builder notation Set-build-up notation c.…

A: The objective is to choose not a way to describe a set.

Q: (x² + y² + 1)dx + x(x − 2y)dy = 0

A: We will  rearrange the terms and combine them to find integral  Here we will use quotient rule…

Q: (x²y² + x² + y² + 1) dx + y² dy = 0 where: Show if it is exact, variable-separable, or first-order…

A: Separation of variables, differential equations

Q: 7 Part 3 of 4 ! Required information NOTE: This is a multi-part question. Once an answer is…

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Q: Solve for the relative max value of g(x) = 45 17x²-3x³

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Q: d³x 2- dt3 dx dt 14. - 12x = 0 Use the matrix system form to find a solution to the differential…

A: As per the question we are given a 3rd order linear homogenous differential equation with initial…

Q: Suppose S = {r, u, d} is a set of linearly independent vectors. If x = 2r+u+ 5d, determine whether T…

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Q: Solve the following differential equations using substitution. You may leave your solution in…

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Q: 3. Evaluate the following integrals. (a) S₁² S¹ S² x² + y² + z² dzdydx √a-x² (b) fª-² ¹-² dzdydx (c)…

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A: Logarithm of a number is defined as a quantity representing the power to which a fixed number which…

Q: Question 3 2.000 g of a hydrate is weighed out and heated to a constant mass of 1.500 g. The % water…

A: Given Initial weight in hydrate = 2g After heating mass is = 1.5g

Q: Solving Systems Use Gauss-Jordan reduction to transform the augmented matrix of each system in…

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