For f(z) = 3e6'the value of log(f(z)) is

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A: Given query is to find the the polar form.

Q: Look at the picture below. The blue curve represents the function f(x). At which point is the…

A: A function f is continuous at a point x=a iflimx→a-f(x)=limx→a+f(x)=f(a)Consider at x=-4From…

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A: Given y=sinhlncosx To find y':

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Q: 1 Find a power series representation of a (1– x)2 * | +00 1 %3D 2 3 + 22 ' 23 b Find the sum of the…

A: The used series here is: 11-x=1+x+x2+x3+...             ...(1), -1<x<1

Q: 8. f(x) = (6x² + 7x)* 9. f(t) = (4t² + 3t + 2)-2 10. f(x) = (5x* – 7x)2/3

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Q: (cotx + tanx)² dx 3 4

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Q: Compute the partial derivatives shown for the given function. 5 ху f(x, y) = + ; find fy, fy, and…

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Q: 2. x = 3

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: To use Lagrange multipliers to find the indicated exrema, assuming that x and y are…

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Q: The evaluation of S xy e*dxdy is 0.5 e 0.25 e- 0.5 O e-0.25 O

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Q: 5. Evaluate a. 3! ×4! 5!

A: According to bartleby guidelines we only provide one solution at a time. Solution 5.  3!×4!/5! We no…

Q: Determine the sum of the series п(п + 2) n= if possible. (If the series diverges, enter 'infinity',…

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

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Q: 5. Given the function as f(x,y)=\x² +y² then find the a) Rate of change of f at point P(1, ) in the…

A: This is a problem related to derivative of the function. Based on the general formula we will solve…

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y2,…

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Q: 3. -2 -5 Find the va lue of Hif Xi+xdx 3.

A: 3-2-518H-134=∫03x1+x2dxPut 1+x2=yas x →0 ,y→1as x →3 ,y→2differentiate on both…

Q: Part I x² -9 1. lim х>з х-3

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Q: For the following data set, find the regression line without using a calculator. x 1 2 3 4 y 26 8 9…

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Q: Find the vector component of v = (4, – 1,7) along b = (6, 6, –7) and the vector component of v…

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Q: Example Find the exact area of the surface obtained by rotating the curve y? = x + 1, 0 <x< 3, about…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

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Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

A: Note: we have to solve only 1 question so here 1,2 are related so I solve 2 question. Also breif…

Q: Reindex the series to start at k = 0 y = E, (k+ 1)æ*+3 = E£o

A: The given series is y=∑k=7∞k+1xk+3 we have to re index the series to start at k=0. Rewrite the given…

Q: Problem 4 A firm's profit is determined by subtracting its revenues from the cost of production.…

A: Given problem:- A firm's profit is determined by subtracting its revenues from the cost of…

Q: > (-1)" x3n+2 find the exact value of 5-1)"(3n + 2) By differentiating the power series 8n n=0 n=0

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Q: Find the area of the triangle with vertices P(1, 3, –3), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

A: Here, PQ=Q-P=0,0,0-1,3,-3=-1,-3,3PR=R-P=4,5,1-1,3,-3=3,2,4

Q: 4. A- and B- what is A.B. 3. h It

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Q: (c) f(0) 4 (d) lim f(x) X-0 (e) f(2) (f) X-2 lim f(x) (g) f(4) lim f(x) X-4 (h)

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Q: Find the area of the following triangle, OA= 40 OA=80/3 O A= 80 O A= 40/3 RI TH

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Question 9 A souvenir shop sells special mugs at a price of $15 each, and at that price, a total of…

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Q: f the following graphs is continuous and differentiable at a and (x) if it is not…

A: We have to find the following given conditions according to the given

Q: et +2e2t-et dt e2t +1 6.

A: Follow the procedure given below.

Q: [2x/4 +x? dx

A: Here we have to integrate the given problem.

Q: (-1)" Given: In(1+ x) Σ if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: Show that the lines L1 : x = 3 – t, y = 2t, z = 3+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are…

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z…

A: To Find : Equation of plane passing through (-3,8,-8) that is perpendicular to the plane7x-y+z=2 and…

Q: 3. Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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Q: y = x°, y = 256 , y axis , revolved at y axis 3.

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Q: x² + y2 + z? = 26, (1, 4, 3) (b) Find a set of symmetric equations for the normal line to the…

A: Let f(x,y,z)=x2+y2+z2-26

Q: Given y = Vx – 2/x – 2; Find y'. O (E) None of the choices Vz-2-1 y = 2/(z-2)(x–2/z-2) VI-2–1 2(x-2)…

A: Given: y=x-2x-2   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: 109 109 Suppose that > a; = -13 and > bị = 16. Comp i=1 i=1 the sum. 109 2 (8a; + 24b;)

A: ∑i=1109(8ai+24bi)=∑i=1109 8ai+∑i=1109 24bi=8∑i=1109 ai+24 ∑i=1109 bi

Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

A: Given,  x''+3x'+2x=4t2, x(0)=x'(0)=0

Q: (-1)" Given: In(1 + x) = En=0' tu+1 if |x| < 1. n+1 1. Find the Maclaurin series for f(x) =…

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Q: Determine the indicated roots of the given complex number. When it is possible, write the roots in…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: dy Q7. Find y" from the equation dr? %3D ry – y = x. (HINT: First differentiate both sides of the…

A: Let us consider the equation, ax+by=x By Implicit differentiation we get, a+bdydx=1

Q: 4. y = Vx, x = 0 , y = 2 , revolved at y axis %3D

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Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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