A complex numbers is a symbol x + jy, where x and y are = -1. numbers and i^2 rational O real O irrational O imaginary

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the for...

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Q: Find the equation of the tangent plane to the graph of 5y f(x, y) at the point (4, -7). (Use symboli...

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Q: Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying ...

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Q: Find the volume of the solid obtained by rotating the region bounded by y =x' and x = y about the x-...

A: Given query is to find the volume of solid generated.

Q: .... Find a set of parametric equations of the line with the given characteristics. (Enter your answ...

A: Given:      Point: ( 1 , 2 , 3 )    Parellel to xz - plane     Parellel to yz - plane

Q: nalyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflecti...

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Q: Find the surface area generated by revolving about the y-axis the curve x² – y? = a² from y = 0 to y...

A: We have to find the surface area generated by revolving about the y-axis.

Q: sec* (2t) dt tan° (2t) cot (2t) cot (2t) + c cot*(2t) cot°(2t) + c C. 12 16 12 16 1 16 tan (2t) + c ...

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Q: Given the following System of Differential Equations and its Eigenvalues and Eigenvectors 1 2 has Ei...

A: From the given options  Option (B) closely define the differential equation for given system because...

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1...

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Q: ) Solve the following inequalities and draw them on the number line 3x+2 1) 2x-2 2) 15y-31-2 s 10 3)...

A: Since you have posted multiple questions i can do first question (with all subparts) as per our comp...

Q: (a) Find the critical points of f on the given interval. (b) Determine the absolute extreme values o...

A: The given function,    fx=4x2+4 cos-1x on [-1,1]

Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh x)(tanh =+/9) + 2 csc¬1 (tan(y + 1

A: Given: sec3(xy2)=(coshx) (tanhx+sqrty)+2csc-1(tan(y+1)).

Q: Let a = ci +j and b 8i + 6j. Find c so that the angle between a and b is Round your answers to four ...

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Q: A bridge is built in the shape of a parabolic arch. The bridge has a span of s = 160 feet and a maxi...

A: A bridge is built in the shape of a parabolic arch. The bridge has a span of s=160 feet and a maximu...

Q: Solve the differntial equation by integration x? dy + 3xy=x4

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Q: Let fix) be a function that is continuous on the closed interval [0, 4]. Using the information in th...

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Q: Read Theorem 6.2 in the textbooke. Suppose that E cn an is a power series with interval of convergen...

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Q: Determine the length of the arc on a circle 22 + y? 100 from x = 3 to x = 5 in the quadrant IV. O 1....

A: according to our guidelines we can answer only one question and rest can be reposted. 

Q: * Dis tance be tween a point f e plane : TT: ax+byt cz+d=0, eqn.af aplaneT P. Cxd,) be a pt. d(PT) =...

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Q: x? + y? = = 169 (a) Find dy/dt, given x = 5, y = 12, and dx/dt = 7. dy/dt = (b) Find dx/dt, given x ...

A: We will find the derivatives and value at a point. 

Q: 2. Let C be the graph of the equation In(3y – 2e*) = sinh“(Tx) – tan(y – 1) dy (a) Find dx (b) Find ...

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Q: Claire starts at point A and runs east at a rate of 11 ft/sec. One minute later, Anna starts at A an...

A: Topic = Algebra

Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summ...

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Q: 14. x = -y + 4y, x = 0 3 1 1 2 3 2.

A: Consider   

Q: Consider the following power series: 00 n (5-2x)" Σ 2n + 1 n=1 Show that the series is conditionally...

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Q: Find the adjoint of A (1 2 4 A =3 4 5 2 -2 2

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Q: Find the critical points of the function f(x,y)=x^2+y^2+6x−10y+1

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Q: Given the given cost function C(x)=4850+780x+1x2C(x)=4850+780x+1x2 and the demand function p(x)=2340...

A: Given problem:- Given the given cost function C(x)=4850+780x+x2 and the demand function p(x)=2340   ...

Q: duct z,z2 and the quotients 1 and (Express your answers in polar form.) Z2

A: We will solve the problem on complex numbers. 

Q: My sequence has the following terms: -100, 00 3 10000 20000 7 1000000 31 - 3 J...

A: This question can be solved by applying the concept of finding general term of a sequence.

Q: Find the formula for the geometric sequence below with n> 1. 3 9 27 81

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Q: How far from the x-axis is the centroid of the area bounded by the curve y = 8x, the y-axis and the ...

A: Solution is given below:

Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

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Q: The graph of the following function has two slant asymptotes. y = V 25 + 16x2 Find the equation of e...

A: NOTE: Refresh your page if you can't see any equations. . now asymptote is in the form of 

Q: 9. given f(-2) = 5, f'(-2) = -3, g'(-2) = 6, f g)'(-2) = 15. Find g(-2) %3D

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Q: 9. xy' + y = /x 10. y' + y = sin(e*)

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Q: 2 12 2? sin(r - y)drdy = I 12 sin(z – y)dydz Select one: O True O False

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Q: Find the gradient of the function at the given point. f(x, y) = 5x + 3y2 + 5, (4, 1) Vf(4, 1) =

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Q: A coffee shop currently sells 470 lattes a day at $3.50 each. They recently tried raising the by pri...

A: We have to make equation and maximize the revenue as given in this question. 

Q: Use Squeeze Theorem to evaluate -2x lim e COS x x 00

A: Based on the squeeze theorem or it is also been called sandwich theorem we can evaluate the limit by...

Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that ser...

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Q: Solve (cosxcosy-cotx)dx-sinxsin?ydy=D0. O sinxcosy=In(ccosx) sinxcosy=-In(ccosx) sinxcosy=In(csinx) ...

A: Let's find. 

Q: Find the particular solution if dy/dt=sin(t) and y(2)=2.

A: Topic:- application of integration

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as a...

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Q: Use sigma notation to write the sum. 5 5 5 4 + 1 4 + 2 4 + 3 4 + 12 Σ

A: By using sigma notation to write the sum.54+1+54+2+54+3+...+54+12  

Q: 18. 2ху' + у %3D 6х, х> 0, у(4) 3 20

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Q: Use the chain rule to find the derivative of f(x)= 5e^-9x^3-6^x^7

A: Given query is to find the derivative of the expression  

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

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Q: The table shows the marginal cost C'(x), the marginal revenue R'(x) for producing x items. The third...

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