Find non-negative numbers, x and y,such that the sum of x and y is 150 and the sum of the squares of x and y is minimal.

Q: (14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of ze(+2)…

A: a) b)

Q: The cost per ton, y, to build an oil tanker of x thousand deadweight tons was approximated by…

A: Cˉ(50)=50+485215,000​ = 535215,000​ ≈ 401.87 Cˉ(100)=100+485215,000​ =585215,000​ ≈ 367.52…

Q: Solve the differential equation. 37 6 dy = 2x³y7 - 4x³ dx

A: Explanation:The operator in the logarithm (∣⋅∣) denotes the absolute operator which signifies taking…

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Q: Solve please and thanks!

A: a) Life expectancy of a jawbreakerWe can solve this by finding the value of t when we equate r(t) =…

Q: - 2. In words, interpret the inequality |x8|> 7 the same way I did in the videos. Note: the words…

A: The inequality means that the distance between x and 8 is greater than 7. In other words, x is more…

Q: Solve this question and show steps.

A:

Q: Which of the functions shown below is differentiable at z = 2? Select the correct answer below: о…

A: The third graph (straight -line function) is differentiable at x =2    because it is a smooth…

Q: do question 2

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Q: Find the indefinite integral. (Use C for the constant of integration.) 9x arcsin(x) dx

A: Step 1:Step 2:Step 3: Step 4:

Q: Evaluate the integral using integration by parts. 150 sec 20

A: If you have any questions let me know in the comment box thankyou.

Q: f(x) = = x - 3 x²-9 f(x) = {x + 1 x > 3 4 x < 3 -10 5 10 5 5. 10 5- 07. 10 -10 -5 0 10 5 -101 :: The…

A: Function 1: f(x) = (x - 3) / (x² - 9)Simplification: f(x) = (x - 3) / [(x - 3)(x + 3)] = 1 / (x + 3)…

Q: For the following function f and real number a, a. find the slope of the tangent line mtan = f' (a),…

A: a. Solving for the slope of the tangent line.Find the derivative of the…

Q: Q2. You deposit $22,000 in an account that pays 4.8% interest compounded monthly. a. Find the future…

A: Step 1: Step 2: Step 3: Step 4:

Q: Tangent planes Find an equation of the plane tangent to the following surfaces at the given points…

A: Step 1:Step 2: Step 3: Step 4:

Q: 3.11 (B). A beam, 12 m long, is to be simply supported at 2m from each end and to carry a U.d.l of…

A: Step 1:Step 2: Step 3: Step 4:

Q: 3. Find the derivative of each function. Label with appropriate derivative notation showing both…

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Q: Please answer it all and show all the work and steps on answer the questions

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Q: 17. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.050. Evaluate the integral. (Remember to use…

A: 17th answer:18th answer:  19th answer:    Thank you  References:

Q: Evaluate the integral. Scos 3 cos x sin xdx

A: The integral we are asked to evaluate is:∫S*cos(3)*cos(x)*sin(x)dx

Q: the correct answer is A could you show me how to solve this using gauss theorem of divergence

A: Step 1: Compute the Divergence of F: div F=∂x∂​(5x−3y)+∂y∂​(2x−5y)+∂z∂​(x2+y2+3z)=5−5+3=3. Apply the…

Q: Find the maximum volume of a rectangular box whose surface area is 1500 cm² and whose total edge…

A: If you have any problem let me know in the comment box thankyou.

Q: A Content MindTap - Cengage Learning × Function Evaluations * + c/nb/ui/evo/index.html?elSBN…

A: Step 1:   Step 2: Step 3: Step 4:

Q: The twice differentiable functions fand g are defined for all real numbers of x. Values of f(x) and…

A: The value of the integral is -6.

Q: eliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the…

A:

Q: Find: lim x →-6 f (x) limx-4 f (x) lim x-1 f (x) lim x →4 f (x) (-6,3) • (-1,5) -8 -7 (-6,-2) 4+…

A: Step 1:Step 2:Step 3: Step 4:

Q: (3) (16 points) Let D = [0, π/2] × [0, 7/6]. Define T: DCR2 R3 by → T(0, 4) = (2 sin cos 0, 2 sin…

A: :

Q: Find the values of p for which the series is convergent. P-?- ✓ 00 Σ nº (1 + n10)p n = 1 Need Help?…

A: Part 2: Estimating the Sum(a)Theseriesis∑(1/n⁶)fromn=1to∞.S₁₀=1+1/2⁶+1/3⁶+...+1/10⁶≈1.101734(rounded…

Q: Find the derivative of the function. 54 q(y)=4y² (2y²+1)

A: Given function: q(y)=4y2(2y2+1)45​ Differentiation Rule Since the function is a product of two…

Q: 3.10 (A/B). A beam ABCDE is simply supported at A and D. It carries the following loading: a…

A:

Q: Find the volume of the region under the surface z = corners (0,0,0), (2,0,0) and (0,5, 0). Round…

A: Step 1:Step 2:Step 3: Step 4:

Q: Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate…

A: Given, Initial population (P0) = 6500Annual growth rate (K) = 0.35% = 0.0035 We know that,…

Q: i need help please

A: ✅ Step 1: Introduction / Overview of the QuestionThe question involves calculating the relative…

Q: Find the derivative of the following function. -8e5x y= 9x+2

A: To distinguish the specified function:…

Q: Suppose that f(x, y, z) = (x − 2)² + (y – 2)² + (z − 2)² with 0 < x, y, z and x+y+z≤ 10. 1. The…

A: Final Answersa=2 b=2 c=2 Absolute minimum = 0 Absolute maximum = 72

Q: Required information A telephone cable is clamped at A to the pole AB. The tension in the left-hand…

A:

Q: Find the ane sided limit lim 2 x+1-3x-3

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: The correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up…

A: To find the Fourier series of the given 4-periodic function f(x), we need to:Define the piecewise…

Q: For all

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Q: Use technology to find f'(4), f'(16), f'(-5) for the given function when the derivative exists. f(x)…

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Q: x-4 Let f(x)=5x-1, h(x) = Find (fo h)(0). 3 (fo h)(0) = (Type an integer or a fraction.)

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Q: 4 3 2 -5 4-3 -2 -1 1 2 3 4 5 12 23 -4 The function graphed above is: Increasing on the interval(s)…

A: Step 1: Step 2: Step 3: Step 4:

Q: Question 1. (10 points) A researcher is studying tumours in mice. The growth rate for the volume of…

A: Step 1: (part a) It is given that the tumour growth rate is  For EquilibriaSo, Case 1: V = 0then,…

Q: 9. A 1 kg mass is attached to a spring with constant 13 N/m. The system is immersed in amedium which…

A: Identify the Characteristic EquationThe standard form of a second-order homogeneous linear…

Q: A homeware company has been approached to manufacture a cake tin in the shape of a "ghost" from the…

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Q: Find the first and second derivatives of the function. f(u) = √7 3u − 3 f'(u) 2 (7-34) (½) f"(u) = 9…

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Q: Let f(x) = -5x-1, g(x) = x² + 5, h(x) = · x+4 3 Find (hog of)(1). (hogof)(1)= (Simplify your answer.…

A: We need to find (h∘g∘f)(1) i.e., h(g(f(1)))Step 1: Compute f(1)f(x) = -5x - 1 f(1) = -5(1) - 1 f(1)…

Q: Write an equation for the function graphed below 5+ 4 3 2 1 -7 -6 -5 3 4 5 6 -1 y = 3 4 5 -3 -4 la…

A:

Q: 15. Please solve this and show each and every step please. PLEASE no chatgpt can I have a real…

A: The given function is F(r, s, t) = ln(r+t) * (r+s+t). This is a multivariable function, which means…