I. For each of the following generalized complex numbers: Y = a + ib Z = c + id Show the following for both the two complex numbers and their corresponding conjugates: Y = a - ib Z = c - id 1. Quotient 2. Difference 3. Product

Q: 3. Find the volume of the solid obtained by rotating the region bounded by the curve y = x + 1, y=0,...

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Q: Show that V is not a subspace of R³: V is the set of all (x, y, z) such that x + y + z = 3

A: We need to prove that V is not a subspace of R3  .Below find the solution in the image.

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Se...

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Q: 22 Find the Maclaurin series for f(x) = 1+x 22 :? 1+x What is the Maclaurin series of

A: Given:     f(x) = 22/1+x 

Q: Find the convergence set of the given power series: 2" x" n! n=1 The above series converges for < x ...

A: Given:   Limit equations is given

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Q: Test the series at the given values of x for convergence or divergence. (x+2)" Σ n=0 7" (3n + 1) • T...

A: Given the series is ∑n=0∞ (x+2)n7n (3n+1)

Q: The three series An, EBn, and ECn have terms 1 1 An 1 Cn = Bn n10 n Use the Limit Comparison Test to...

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Q: Differentiate. y= log (x +x) log (x +x) = D dx

A: We can solve the differentiation as below.

Q: Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, t...

A: Topic  =Limits

Q: Find the linear approximation L(x) of the function g(x) = V1+ x at a = 0. L(x) = Use it to approxima...

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Q: proj„b is always less than |5 1|

A: We will use the definition of projection vector and will use the Cauchy-Schwarz inequality.

Q: Find the differential of each f (a) y = 1 + 4s dy =

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 8. Evaluate the limit. VI +5+ (In x)10 3/T+10+ (In x)20 (a) lim

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Q: 1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 1 ...

A: The guven function,  f(x)=1x-1, x+2y+7=0

Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: f(x,y), where x = x(r,s, t), Use a tree diagram to write out the Chain Rule for u y = y(r,s,t).

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Q: Simplify the expression sin (cos (300)), where the angle is measured in degrees. Do not include the ...

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Q: If a = [5,-2, 4], b [0, 2, -3], and c = [1, -2,1], find a xb.c -22 38 O(-2, –30, 10] 0.

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Q: Find the minimum and maximum values of the function y = 2x-8x +7 on the interval [0, 5] by comparing...

A: Given that the function is        y = 2x2 - 8x + 7 on the interval [0,5] .

Q: Suppose that the average cost, in dollars, of producing a shipment of a certain product is 48,000 C=...

A: Given average cost function C=3000x+48000x

Q: For the following functions. Please show all evidence. (a) Identify all local extrema, (max or min.)...

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Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

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Q: Find a simplified form of the difference quotient for the function. 8 f(x) = x2

A: We have to find simplify form

Q: Find the minimum speed of a particle with trajectory c(t) = (t,14) for t 2 0.5. (Use decimal notatio...

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Q: Given the side length c = 9 and the angle A = 47° on the triangle below, find the lengths of a and b...

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Q: Find the directional derivative of f(x,y) = sin(x+2y) at the point (1, -3) in the direction θ=3π/4

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Q: Evaluate the integral. Show all your work. sin? x cos' xdx

A: ∫ sin2xcos3xdx

Q: 5. An airplane is flying at an altitude of 8,000 feet with a speed of 600 feet per second. If the ai...

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Q: The "Tribonacci" sequence is the sequence defined by To = T1 = T2 =1 and %3D Tn+3 = Tn + Tn+1+Tn+2 f...

A: The ''Tribonacci'' sequence is the sequence defined by,  T0=T1=T2=1 and Tn+3=Tn+Tn+1+Tn+2

Q: Given the triangle below, find the angle 0 in degrees. Round to the nearest degree. 17 9 Provide you...

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Q: Write your answer on a piece of paper with your name on it. Snap a picture, then upload your answer....

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Q: Evaluate the definite integral from 0 to 1,  x^29e^-x^(30) dx

A: follow next step

Q: 3x -dx x4 + 1 Evaluate the indefinite integral. + C

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 10" Σ...

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Q: Find the derivative of the function by the limit process. Find an equation of the tangent line to th...

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Q: 3 lim tan³ 2x x→0

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Q: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elev...

A: Rate

Q: Consider the series 1 Σ n(n + 5) n=1 Determine whether the series converges, and if it converges, de...

A: Series

Q: Determine whether the integral is convergent or divergent. The integral from 6 to infinity, 1/(x-5)^...

A: Given query is to find the integral converges or diverges.

Q: Show that V is not a subspace of R°: V is the set of all (x, y, z) such that x + y +z = 3

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Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

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Q: How does a transformation of a logarithmic function change the domain of that function? Be careful t...

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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