Evaluate the iterated integral by converting to polar coordinates. 32 - y² БГ √x² + y² dx dy

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A: We have given function f(x, y,z) =2x +2y + z and  constraint  g(x,y,z) = x^2 +y^2 +z^2=36.

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A: cotθ=4 As we know ⇒cotθ=BasePerpendicular=BP=41⇒B=4,P=1

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A: NOTE: Refresh your page if you can't see any equations. . the given function is find the partial…

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A: ft=13t m/s and t=0 to t=10 seconds

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Q: Evaluate the indefinite integral: [ (8e" + 3 sec²u) du = + C.

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Q: Consider the integral 9 L² (3x² (3x² + 4x + 4) dx (a) Find the Riemann sum for this integral using…

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Q: (7.3890 )

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A: the given function  f(x)=e10x+e−x  for increasing or decreasing we have to find the first order…

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A: We need to compute triple integral.

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Q: Compute det A, det B, det (AB), and det (A + B) for -2 1 2 +*+ A = -3 -1 -4 4 −1 3 det A = det (AB)…

A: A=-212-3-1-44-13  B=2-3-4-1-3-3217

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A: Since you have posted a question with multiple subparts, we will provide the solution only to the…

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Q: How long does it take for $1425 to double if it is invested at 8.5% compounded continuously?

A: According to question,Given data,Principal  P = $1425,Interest rate r = 8.5%

Q: If x² + y² = 2, and dy dt Jad dt 4 when 1 and y = 1, what is dy dt when x = 1 and y = 1?

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Q: Find the extrema and the points of inflection (if any exist) of the function. Use a graphing utility…

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Q: Sketch a triangle that has acute angle 0. 21 29 tan(0) = csc()) = cos(0) = sec(0) = cot(0) = V1282…

A: To sketch the triangle that has the given acute angle.

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Q: Find the global maximum and minimum for the function on the closed interval. f(x) = 18x3 - - 6x…

A: f(x)=18x13-6x

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Q: this is incorrect

A: We need to find the curl of the given function. This can be evaluated as follows:

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A: The given cost function : Cx=32400+300x+x2.We have to first the average cost function.Then we have…

Q: 17. f(u) u¹ + 3√/u

A: question no-17

Q: 6.) What interest rate compounded monthly would you need if you invested $15,000 today and needed to…

A: Formula At=p1+rnnt⇒n=compounded period⇒p=initial amount⇒At=Amount at time t ⇒t=time in years⇒r=rate…

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A: It is given that the function is gx=-fx and f has local minimum value at c. a) It is required to…

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Q: Let f(x) = 4sin(x) for 0 ≤ x ≤ Find Lf (P) and Uƒ (P) (to the nearest thousandth) for f and the…

A: Functional value in Uf is taken as the greatest value of f(x) in the interval i.  Similarly, in Lf…

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Q: At the indicated point for the function, find the following. (Round your answers to the nearest…

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Q: In the equations of the image below, what does the ds stand for?

A: In the equations of the image below, what does the ds stand for?

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A: Given the field is:  F= -x2i-y2j We need to find the circulation and flux of the field F.

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A: The function is fx=6x2-24x+1 on the interval -4,3.

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Q: 2. Make a function discussion of f(x) = − (4x^2 − 8x + 4) / (2x-1) You must find the zero point,…

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Q: Let y(x) be the solution of the differential equation 12xy' — 60y = x¹, x > 0, satisfying y(1) =…

A: Given: Differential equation 12xy'-60y=x4,x>0 y(1)=-130 y has an inflection point at x=a,a>0…

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Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A: S'x=158-x2C'x=x2+154x where S'x is the rate of annual saving and C'x is the rate of annual cost.

Q: derivative for this question. I gave the easy function. a) Domain of f(x) is b) Find the…

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Q: Given that f'(x) = cos(x), ƒ'(π/2) = 7 and f(7/2) f'(x) = f(x) = ← ▲ = 4 find:

A: f"x=cosx Integrating both sides ∫f" xdx=∫cosxdx f'x=sinx+c Put x=π2 f'π2=sinπ2+c 7=1+c c=7-1 c=6…