What are all the cube roots of -1 in the complex plane? Mutiple choice options: 1 -1 e(5π / 3 i) e(π / 3 i) e(2π / 3 i)

Q: The blade of a windshield wiper sweeps out an angle of 135° in one cycle. The base of the blade is…

A: Follow the procedure given below.

Q: : cos'x dx to Which of the following is one of the correct steps to evaluate obtain the desired…

A: Here, we have given an indefinite integral in which  we have to integrate a trigonometric function.…

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: 00 x"+1 has the radius of 5, then the radius of convergence of the If the series >a "n+1 n=1 00…

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Q: 6. Theorem A matrix A is nonsingular if and only if det(A)#0. Which of the following matrices are…

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

Q: There is a terribly designed set of stairs. It is not possible for you to step from one step to the…

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Q: Find the arc length in the second quadrant of the curve x3 + y2/3 = 25 fromx = - 125 Enter the exact…

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Q: (c) пcos (пп) 2n n=1 Hint: For part (c) write out a few terms to see the behavior of this series.…

A: We have to find out converging & diverging nature of given series .

Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

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Q: Find the Laplace transforms of the functions(use limit): a) f(t) = t^2 b) f(t) = t-2e^3t

A: Solve the following

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t+00 4t2 + 5' 8t (?, ?)

A: Find the limit

Q: Convergence of Sequence. For each of the sequences below, enter either diverges if the sequence…

A: Here we have to find whether the given sequence is converges or diverges.

Q: derivative

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Q: Given the power series 2 2n A x(n + 3) n = 0 Use the technique that we covered in this unit to Shift…

A: To shift the index of the power series use the substitution n = R - 3

Q: Question Use the first derivative test to find the location of all local extrema in the interval…

A: f(x)=-2(4x-5)e4xConsider…

Q: Determine whether the following converges or diverges {(5) n 2n +1 n=1

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Q: Use Gauss-Jordan elimination to solve the system 5x + 7y = -11 2.x + y = 1 Make sure you create the…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: The radius of convergence of the series 2 (n!)2 (x– 2) ² is equal to n=1 3" (2n)!

A: Given series ∑n=1∞   (n!)23n (2n)!(x-2)2

Q: dx а. 3 x²(9x² – 4) .2 -

A: The integration of the integral is 1/[x2(9x2-4)3/2].

Q: sin (2t + 1) - dt cos? (2t + 1) 31.

A: Use trigonometric substitution method for solving the integral.

Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, –2) and the vector component of v…

A: Given v=(4,-1,7)      b=(1,2,-2)

Q: Find two linearly independent solutions of 2r2y"- xy' + (-4x + 1)y = 0, x > 0 of the form Y1 = r (1+…

A: Given fill in the blanks have already some data, it is wrong as per given question. I solved it, and…

Q: Consider the function f(x, y) = 3x² – 4y² subject to the condition x? + y? = 36. Use Lagrange…

A: Here, the given function is: f(x,y)=3x2-4y2 subject to the constrain g(x,y):x2+y2-36=0...(1)

Q: 3" e" – 2" n=1

A: The given series,        ∑n=1∞3nen-2n

Q: If f(x) = 4° + 81log4x. then = f'(2) (Answer accurate to 2 decimal places.)

A: Given  f(x) = 4x + 81 log4x We have to find f'(2).

Q: 2.

A: Explained below

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

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Q: 32 2 The series 3 8 + 33.3 128 is equal to ..(Correct to 3 decimal places) +... ..... 35.5 37.7

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Q: QS. Find if y = vcos x- 7*

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Q: t e dr (1 – e")2

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Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

Q: Question If 0 < 0 < 2n and 4sin 0 – 4 = -3, determine the values of 0. List your answers as exact…

A: Answer: The solution is as given below:

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: 2. Computing Derivatives; Compute each derivative using the derivative rules: d (a) (cos-(1+ 2*) +…

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Q: Consider the non-homogeneous differential equation (D)y = F(x) where it has m³ – 3m? + 3m + 7 = 0 as…

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Q: (10re", 2.r3 + 3.r² – 12.r, r>0 I<0 Given: ƒ(x) (a) Identify all critical numbers of f. (b)…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y?, (6,…

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Q: 5 Given the function f (x,y) = which ONE of the following statements is C /x+y2 O A. f is only def…

A: function is defined for  x+y2 &gt;0  y2 &gt; -x

Q: Vx2 – 4 dx x3

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: The given function is;  f(x,y,z)=xyz Constraints : x+y+z=16, x-y+z=12.

Q: Evaluate the definite integral. NOTE: Enter the exact answer. (100,² + 1) – 352 10 ti + t*j dt

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Q: Find if the sequences diverges or converges. If converegs, find the limit. 1. an=n1/n

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 16) Solve, finding all solutions in [0, 27). 4=4 sin? x+3 с. a. b. 1-3 tan x = 0 (d. e. sin x cos xr…

A: Question no. 16,Part b,Given,            1-3tan2x=0

Q: 3n+1 Σ 6n-1

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Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z = 2…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: 2. Evaluate the definite integral. 4 *7 – 7sin²e do 3cos?e

A: I=∫0π47-7sin2θ3 cos2θ dθ1-sin2θ= cos2θI=73∫0π4 1-sin2θcos2θdθI=73 ∫0π41 dθ

Q: Find all solutions of cos (z) = %3D

A: Solution of cos(x)=cos(y) isx=2kπ±y

Q: 1. El radio de convergencia de la serie de potencias es (n+1)!

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