Convert the point (x, y, z) = (2, 4, 1) to spherical coordinates. Give answers as positive values, either as expressions, or decimals to one decimal place. (p, 0, þ):

Q: Find the centroid of the lamina bounded by the x- and y-axes, the line x = 2, and the graph of y=e*.…

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Q: Frequently, we encounter a need for two (different) linear transformations to transform a…

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Q: An objective function and a system of linear inequalities representing constraints are given.…

A: see below the answer and explanation

Q: (a) Find the arc length function for the curve y = In(sin(x)), 0 < x < , with starting point s(x)= =…

A: Given that y=lnsinx  ,0&lt;x&lt;π   starting point is π2,0To find :Arc lengthSolution :Arc length…

Q: A weather balloon is rising vertically at a rate of 15 feet per second. An observer is standing on…

A: Given  A weather balloon is rising vertically at a rate of 15 feet per second. An observer is…

Q: Find the absolute maximum and minimum of f(x, y) = 4x + 2y within the domain x² + y² ≤ 25. Please…

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Q: Find the radius of convergence of the Maclaurin series for the function below. f(x) = tan ¹(2x)

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Q: d'y 1 2 dx 2 dx6 + 142- dx5 -471- d dx4

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Q: Consider the function f(x) = (x + 1)e. Determine each of the following. 1. Find the derivative…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: (a) Show that if a varies, then the polar equation raseco (π/2<0</2) describes a family of lines…

A: Let's solve polar equation describes a family of lines perpendicular or parallel to the polar axis.

Q: A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $10 the…

A: Given query is to find the ticket price for maximum revenue.

Q: please use the method of variation of parameters to determine the particular solution y'"+30y"…

A: The given differential equation is:y'''+30y''-4000y=e-20x

Q: nd the first derivative ƒ' and the original function f. f"(x) = x³ - 12x. f'(1) = 0. f(1) = 10

A: Given query is to find the function f.

Q: Find the critical point of the function: f(x, y) = 3 + 7x + 2x² - 8y + 3y² (x,y)= This critical…

A: The solution to find critical points of given functions are as follow.

Q: Use the transformation a = Provide your answer below: 18.80 dr de ST Ա = to set up a double integral…

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Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 5x² + 2y² = 30 Please…

A: Let's find minimum and maximum value of function by using Lagrange multipliers.

Q: factor the polynomial f(x)= x4-7x3+9x2+27x-54 given that 3 and -2 are zeros. then identify all real…

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Q: Suppose that a company expects its annual profits t years from now to be f(t) dollars and that…

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Q: 9. If g(x) = (ax√√/1-x)², express g(10) in simplest X form. 10. A population of wolves in a county…

A: 9)     g(x)=(ax1-x)2 for g(10) put x=10

Q: Find the total mass of the solid region W defined by x ≥ 0, y ≥ 0, x² + y² ≤ 4, x ≤ z ≤ 29 - x (in…

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Q: 18. fixy=lnx, evaluate limpso f12th)-fias

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Q: Let U = {a,b,c,d,e,f, 12, 13, 14, 15, 16, 17), X = {a,b,c,13,14,15), and Y = {b,d,f, 12,14,16}. List…

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Q: 10.  Use the Integral Test to determine whether the sum converges. ∞     n = 1 n 9 + n2 Evaluate…

A: The given series is:∑n=1∞ n9+n2

Q: Given f (x) = 3x + 2 – 1, what is f –1(x)?  f –1(x) = log3(x – 1) + 2  f –1(x) = log3(x + 1) – 2…

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Q: Let 2x² + 5xy - 3y² – 14x − 7y + 20 = 0. dy Use partial derivatives to calculate at the point (3,…

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Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: Given: t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v(ft/s) 0 5.7 9.2 15.5 18.8 19.4 20 To find the lower…

Q: Use the transformation u = y-x, v=y to set up a double integral necessary to evaluate SS R on the…

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Q: Given f(x)= X-4 O[4, 12) U (12,0⁰) 0 [--4, ∞) and g(x)=√√x+4, what is the domain of f(g(x))? O(-∞,…

A: Givenf(x)=1x-4 and g(x)=x+4We need to find the domain of f[g(x)]

Q: Find two numbers whose sum is 33 and whose difference is 11. smaller number larger number

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Q: Calculating First-Order Partial Derivatives In Exercises 1-22, find af/ax and af/av. 15. f(x, y) =…

A: Here is the solution:

Q: Find the measures of the angles of the triangle whose vertices are A = ( − 1,0), B = (3,2), and C =…

A: Concept: Distance formula between the two coordinates A(x1,y1) , B(x2,y2) is given by…

Q: 2. For what values of "C" is the function & continuous on (-00,00) When fix)=2x+c.ifx<l [3x²+20,…

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Q: An open-top rectangular box is being constructed to hold a volume of 300 in³. The base of the box is…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 6 –…

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Q: a.) Without regard to the context of your parabolic model, what is the mathematical domain of your…

A: Given:  Parabolic model: y=-7x2/60+119x/60+7                                       (1)…

Q: 5 The gain of an amplifier is found to be G= 20 log (10V out) :: The tasks are to find equations…

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: Find the Taylor polynomials p3 and p4 centered at a=0 for f(x) = (1+x)-³. P3(x) =

A: we will find the required.

Q: Question 15 Textbook x = A company that produces cell phones has a cost function of C= 30x2 - 496x +…

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Q: Given an interest rate of 1.0% compounded continuously and starting principal of $5000, determine…

A: Continuous Compounding Formula: A = P·er·t where A is the Accumulated Amount. P is the Principal…

Q: You and your friend are shopping at the the nearby Target store. You spent 78 dollars on 3 pounds of…

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Q: The function f(x) = 2x³36x² + 120x + 7 has one local minimum and one local maximum. Use a graph = -…

A: Topic - Application of derivatives We are givenf(x)=2x3-36x2+120x+7The local minimum is a point on…

Q: 3. The derivative of a function is given by f'(x) = -63x² - 12x + 18. Give 3 different functions…

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Q: Find the Jacobian J of the transformation T(u, v, w) = (-3u +5v-3w, 2u+4v+3w, 4u+v=4w) = (x, y, z).…

A: Given:- Tu,v,w=-3u+5v-3w,2u+4v+3w,4u+v-4w=x,y,z

Q: 1. Find the equation of the tangent line to the graph of the function implicitly defined by the…

A: given that, 3y+cos(y)=x2  and ordinate is 0 find the equation of the tangent?

Q: Concept check: Evaluate the following integrals: 1. dx (6-x²)z OIL

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Q: 1. Test the series for convergent or divergent. 8 √k 2k + 3 Σ(-1)*, k=1

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: 24 Write the expression (e-³)¯ in the former for a suitable constant k. Determine k. Give your…

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Q: Let z(x, y) = xe² where x = dx dy dz dt by first finding & and using the chain rule. dt dt Calculate…

A: Given query is to find indicated derivative.