Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize f(x, y) = 8x + 8xy + y Constraint: 8x + y = 400 f(

Q: Question 3 Find the standard form of the equation of the ellipse satisfying the given conditions.…

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Q: If the rate of change in the number of cows, W, in a population is proportional to 150 -W(t), where…

A: We need to solve Differential equation question.

Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

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Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁120x +90y + 120z =…

A: Condition of Two planes parallel:- Let plane1:- A1x+B1y+C1Z+D1=0Let Plane2:- A2x+B2y+C2Z+D2=0 For…

Q: By power series, solve the ODE y' - 2xy = 0.

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Q: -5 -4 -3 -2 15 -30- -45 -60- -75 -90 -105- -120- -135- J 2 For the above quartic polynomial f(x):…

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Suppose that the position of a particle is given by s(t) = 2t³ + 6t + 9. (a) Find the velocity at…

A: Topic = Derivative

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 3 for the function f(x) = x²-3x. (Use…

A: To calculate the Taylor polynomials T2 and T3 centered at a=3 for the function fx=x4-3x.

Q: Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: The sum of two positive numbers is 18. What is the smallest possible value of the sum of their…

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Q: Find the total change of f(x) between x = 1 and x = 3, when df = 3x² + 2x

A: NOTE: Refresh your page if you can't see any equations. . here we have the given values of x are…

Q: 11x 6 then

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Q: 6 5 + x²' a. Find the slope of the line tangent to its inverse function at the point P(1, 1): For…

A: We can answer the question as below.

Q: and sin B = 25 match each expression in Column 1 with its exact value in Column 2. Given sin A = =…

A: Given,           sinA=35 and sinB=725 where A is in quadrant II and B is in quadrant I

Q: = Find the angle between A (3,-2, 3) and B = (1, -3, -3).

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

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Q: 4. S (x-1)(2x³+2x²+3x+2) dx x³ (x+1)

A: The objective of the question is evaluate the indefinite integral.

Q: Answer the following completely. f(x) = - sin (²1+5) +2 2 8 a. Determine the amplitude, period,…

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Q: Suppose we want to choose 2 objects, without replacement, from the 4 objects pencil, eraser, desk,…

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Q: Rewrite the equation with the variables separated. 2y' = 3x+y dy 2.3 ○ 3ºdy = 2/1dx O dy 3.9 = 3x dx…

A: Topic = Differential equation

Q: A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg.…

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Q: If cos(x) = (in Quadrant 4), find 19 21 Give exact answers. sin(2x) = cos(2x) = tan(2x) = = Submit…

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Q: Evaluate the geometric series of state that 8 ÿ (-9) Σ k=0 k Select the correct choice below and, if…

A: To find out that the given geometric series converges or diverges.

Q: Solve this distance, rate, time application involving a rational equation: It takes the same amount…

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Q: Solve the equation for solutions in the interval [0,2x). Use algebraic methods and give exact…

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Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

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Q: If f(x)=3-x² and g(x)=4-3x, find a) f(g(x)) b) f(g(0)) c) f(f(x)) d) g(g(x))

A: Given  fx = 3-x2  and  gx = 4-3x.

Q: Find the general solution of the given ODE ( 40² – v) dx + x dy 0.

A: The given DE is: (y2-y)dx+x dy=0⇒(y2-y)dx=-x…

Q: A bank pays compounded interest each year. Sue deposits $100 in the account, and after 3 years Sue…

A: Topic- differential Equations

Q: Evaluate f2Tof 1 0 rdrde

A: The given integral is: I=∫02π∫01rdrdθ   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: 3) Find the minimum and maximum values y = 2x5 +5x² on the interval [-2,2]

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Q: 2. If y = C₁ cos2x+C₂ sin 2x+2sin x is the general solution of a certain nonhomogeneous LDE, which…

A: The given general solution of non-homogeenous  LDE.  y= c1cos2x +c2sin2x +2sinx   We have to find…

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: is there no numerical answer to this question?

A: Let's evaluate given integral.

Q: Find the one-sided limit (If It exists). (If an answer does not exist, enter DNE.) -(x². 9 X + 8 Ilm

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Q: Find a formula involving integrals for a particular solution of the differential equation y" - 15y"…

A: This is a problem related to integral. Based on the general formula and concept we will answer the…

Q: Differentiate the function. (a) f(x) = x5/3 - 2/3 (b) g(x) = √x+x x2 (c) h(x) = = x 2-tan x

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Q: Question 3 dz Find the partial derivative for the function z = 20y²√x. dy C ay az ay N GE - 201 az =…

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Q: A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg.…

A: A radioactive isotopte has a half life of 1 min. The amount of meterial, At, at t=0 to 10 kg.To…

Q: For the curve defined by →r(t)=⟨e^−t,4t,e^t> find the unit tangent vector, unit normal vector,…

A: We have to find the unit tangent vector, unit normal vector, normal acceleration, and tangential…

Q: Find the gradient of the function at the given point. In(x²-y)-3, (3,8) X Vz(3, 8) = Z

A: for finding gradient we have to find the derivative with respect to x and y   z  = ln(x2 -y)/x - 3…

Q: Given surface A: 4x² - 9y² = 9(z² + 4) 1. Find an equation of the trace of A on each of the…

A: answer is in next step.

Q: The population of a certain state from 2000 to 2010 was recorded. During that decade, the state grew…

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Q: Find any Intercepts. y = x² + 4x - 5 (x, y) = y-Intercept: x-Intercepts: (x, y) = (x, y) = (smaller…

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Q: A hemispherical tank, placed so that the top is a circular region of radius 6 ft, is filled with…

A: answer is in next step.

Q: At x= Number Number and y= Number Number the sign of f" (2) is Click for List Click for List and the…

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Q: raph on the image below and find the volume generated by revolving the area bounded by 9x^2 + 4y^2 =…

A: We need to find volume.

Q: The answers are wrong

A: This question can be solved using the concept of absolute maximum and absolute minimum

Q: A population of bees are dying at the rate proportional to the size of the initial hive, H(t), where…

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