Determine the function f satisfying the given conditions. f'(x) = e\/6 f (0) = 12 %3D %3D f (x) = A eBx + C A = %3D B = C =

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A: A=H,TB=1,2,3,4,5,6C=red,green,blue,blackTo find n(A ✕ B ✕ C)

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A: Explanation of the answer is as follows

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Q: xy Let =3 model the path of a particle. If the x-coordinate is increasing at 6 units per second 1+ y...

A: As per answering guideline. We can answer one question at a time. Please repost other question. Than...

Q: Given the function f defined by 0, if-n<x < 0 f(x)= |-7, if 0<x< determine the following Fourier coe...

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A: This question is based on definite integral.

Q: shoni all wiork using L hopial A23456789 lim रउडडाऊ

A: Solve the following

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A: limx→7fx=4limx→7gx=-14To find:limx→73fx+xgx+1

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration. Reme...

A: The given integral can be evaluated as shown in step 2, after substituting u=x^5-2.

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Q: Find tu are and centrord banded by 2 X ニ 4-4y 4-y Graph. こ

A: Given boundary curves1. x = 4-y2  ⇒ y=±x-42. x = 4-4y  ⇒ y= 144-xPlot the curves, get the intersecti...

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Q: If tane + sni0 = m and tan0 - sin0 = n, show that m² - n² = 4Vmn.

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Q: Find the mass and center of mass of the thin rod with the following density function. x? P(x) = 4 - ...

A: Solution is given below:

Q: 7. Find the radius of convergence and the interval of convergence – justify your answer. k³ -10*

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A: Given that two airplanes leaves an airport at the same time. their respective distance shows by a tr...

Q: Let f(x) = 8-x+9 + 7 For which values does f output the number 2 ? X = Is 2 in the range? O(No answe...

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Q: ASR YOUR TEACHER PRACTICE ANOT Determine whether Rolle's Theorem can be applied to fon the closed in...

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Q: V30 Consider the upper half of the ellipsoid f(x.y) = and the point on the level curve f(x.y) = Comp...

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Q: Calculate L6 for f(x) = v5x + 3 over [1,3]. (Give your answer to three decimal places.) L6 =

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Q: .7% x-2 Consider the function f(x) = 7 -7' %3D x-7 Use the graphing utitlity to graph f. f(x) = %3D ...

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Q: Find limit lim (Vn+1-n). No use Hostital Rule.

A: To find:limn→∞ n+13-n

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Q: EXAMPLE 2 For the region under f(x) = 2x2 on [0, 4], show that the sum of the areas of the upper (4,...

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Q: Sketch the region in the first quadrant that is bounded by the given curve. Approximate the area of ...

A: Here we have to sketch the region in the first quadrant that is bounded by the given curve.  Approxi...

Q: Find f(x) and g(x) such that h(x) = (f o g)(x). h(x) = (2 - 8x)2 Suppose that g(x)= 2-8x.

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Q: 9) Find the perperdicular distance between X+24+32=5 -42=10. Xey+22=12 -32-25 and 2*+39 b)Find its e...

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Q: A Moving to another question will save this response. estion 9 Match the given integrals with the co...

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Q: ch the region enclosed by the given curves. у - 14 - х2, у-х2 - 4 5- -6 2 4 6. -10 -10 - 15 -15 y 15...

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Q: (a) The set of all diagonal n xn matrices (b) The set of all n xn matrices A such that det(A) = 0. (...

A: The set of all diagonal matrix.   Yes, subspace.   As, some of two diagonal matrix is a diagonal mat...

Q: Find the derivative of: – 6e-1* cos(7x). [Hint: use product rule and chain rule!] Use e^x for e". No...

A: Let the given curve be:fx=-6e-7xcos7xProduct Rule:ddxuv=udvdx+vdudxand Chain Rule:dydx=dydududx

Q: Using the Mean Value Theorem, find all values of c in the open interval (a, b) such that f'(c) = ((b...

A: Topic = Functions

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Q: Given the following information: 42 Ibs == $450/Ton 26 Ibs == $300/Ton Calculate the converted cost ...

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A: Topic = Application of integration 

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Q: Determine the derivative of y. y = eV14x+6 %3D

A: Please refer the attached image for complete solution.

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Q: 77 Vo +1 dydr

A: we have to change order of integration

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Q: EVALUATE THE FF. LIMITS. 1. lim (x+2)2 +3 x6+ x3 2, lim メウ- ○ x"(-2x²+5)

A: limx→1-[1x+1-1x+22+3

Q: A tank initially holds 100 gal of brine solution containing 1 Ib of salt. At t=0 another brine solut...

A: Given that a tank initially holds 100 gal of brine solution containing 1 lb of salt.  At t= 0 anothe...