Reduce to the form x + yi : 2 logsinh (-i+2) 40ežmi

Q: se the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

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Q: sin x - x limg0

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Q: r(t) ti+ 8 sin(t)j + 8 cos(t)k u(t) + 8 sin(t)j + 8 cos(t)k (a) r'(t) = (b) r"(t) = (c) D[r(t) ·…

A: Note: We are allowed to solve three subparts at a time so upload remaining parts as next question.

Q: There is no closed form solution for the error function erf(a) = 2 e-x´dx Use the (a) two-point…

A: Solution: Gauss‐Legendre quadrature is used to calculate integrals…

Q: 5|, B= -14|, and C = |2 2 -11 B and C linearly dependent, or are they linearly independent? -arly…

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Q: find the value of log (-2)

A: Introduction: Many mathematicians utilised logarithms to convert multiplication and division…

Q: 210 -1 0 1 1 31 Let A = 2.1 Find the eigenvalues of A. 2.2Find bases for the eigenspaces of A.

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Q: Find the formula for the Riemann sum obtained by dividing the interval [ – 1, 0] into n equal…

A: To find the formula for the Riemann sum by dividing the interval in n equal sub intervals. The given…

Q: If z = f(x, y), where x = 2ts and y = t2 + s², show that () - 2 + 2x + 4y %3D dsdt

A: Here given z=fx, y and x=2st, y=s2+t2

Q: Let D5 = (a,b). Compute the following: %3D b(a*b) bla'b) ab(a²b)

A: Use the definition of dihedral group.

Q: Are the vectors 16 + 16x – 12x2, linearly independent + - 12 – 12x – 12x2 and 18 + 18x – 3x2…

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Q: a) Polokwane municipality has got three reservoirs available to supply the water needs of three…

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: . Write an expression equal to log3 (20) with as many logarithms as you want, but each log is of a…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: Solve the system of differential equations x' = 31x + 56y ly' 16x 29y - - x(0) = 7, y(0) = - 4 The…

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Q: Question 9 X is a random variable with mean and variance H and of, The standardized form of X is 2 =…

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Q: A certain bacteria culture is observed to double its amount after two hours it was initially…

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Q: Use the statement, if p(E) = a/b, then o(E) = a:(b - a) and o(E') = (b- a):a, to find the odds that…

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Q: Examples: find the inverse laplace F(s) = 2s2 + 5 s3 +6s? + 5s -12

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Q: In writing responses to these problems, remember to communicate your mathematics clearly. In Task…

A: We will use the basic knowledge of differential calculus and reasoning to answer both the parts of…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: AAAAAA AAAA 30. If the power series an(x – 4)" converges at x = 7 and diverges at x = 9, which of…

A: We will find possible radius of converges and then interval of converges ,

Q: Find the curvature and the radius of curvature at the point t = 0. e' cos(t), y = e' sin(t), z = 11e…

A: Given :  x = et cos t,  y = et sin t  and  z = 11et To find : We have to find curvature(k)  and…

Q: Consider the function f(z) = z' + 5z2 - 14z. . Enter the factors and the roots separated by a comma.…

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Q: x² + xy? 2. (a) Evaluate the limit lim (x,y)→(1,2) x4 + 2y? or show that it does not exist. x2 + xy?…

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Q: Question 1 1 -2 1 -1 1 2 -1 Let A = and assume that 1 2 -1 0 -1 -2 1 100 0 1 1-1 0 0 0 0 0 0 1 1 -1…

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Q: Column A Column B 1. It is a closed figure made up of segments that intersect at their endpoints and…

A: # As per the guidelines we are entitled to solve one question , please resubmit the other question…

Q: 2n-1 n²(n+1)

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Q: Suppose you attempt to use Newton's method to approximate a solution of the equation z* + a° – 32? –…

A: Given: x4+x3-3x2-2x+2=0x0=1, To calculate the value of x1,x2,x3 and x4 using Newtons…

Q: Describe the graph of the equation. r = - 15 i + (1 – t)j +t k O Itis a parabola in the planex = -…

A: As Given, The graph of the equation is, r = -15 i+(1-t2) j +t k

Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A: We have to find the percentage of error at n=3

Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A: Given data A differential equation dydx=9x2-4x+5,  y(-1)=0…

Q: 17. Evaluate L{y"(1) + 2y'(1) + y(1)}; y'(0) = -1, y(0) = 5. Let L {y()} = {s). A) (s°+2s+ 1)Y(s) –…

A: Here we use basic laplace transform

Q: 2. (G VH) →(G AH) - (GAH) :- (GvH)

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Q: Using Newton Raphson Methoc roots of the following equations. S solution via excel

A: The given equation is f(x)=x3+2x2-3x-1 find the derivative  f'(x)=3x2+4x-3 given xi=2 The formula…

Q: Let N(x) be the statement “ x has visited Palawan.” Where the domain for domain consists of the…

A: N(x) : x has visited Palawan Domain : students in your school

Q: B. Volume of Solids of Revolution 3. Consider the figure below. Using Circular disk method, find the…

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Q: what is the equation of this picewise function? 10 2 10 -8 -4-2 2 46 8 10 -40 6,

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Q: 3 (-6+2i)' 4. Simplify: ( ) (1–8i)

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Q: Refer to the problem below. Supply the needed information. Write the unit of measurement. Pritz and…

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Q: I Prove the validity of the following argument: 1. p→9 → 9 (¬r) V (¬q)

A: Q1 asked and answered.

Q: Find the area of the surface generated by revolving the curve about each given anis. *- 7t. y= st,…

A: We have to find  the surface area generation by revolving the curve about x and y axis

Q: Verify the Divergence Theorem by evaluating F.N dS as a surface integral and as a triple integral.…

A: Here we use divergence theorem .

Q: What is the Maclaurin series for (tan -1x)? x x5 x7 X' O A. x- -+ 2x3 О В. 2х- 2x5 2x7 2x* 23x6 44x°…

A: We have given Maclaurin series (tan-1x)2. We have to calculate first four term of given series.

Q: Determine whether the function is a linear transformation. T: R2 → R3, T(x, y) = (2x², xy, 3y²) O…

A: We have given that function ,  T : R2 → R3 such that ,  Tx , y = 2x2 , xy , 3y2 We need to determine…

Q: 1) = det(A) for any A E M2,2(R). Is ƒ a linear transformation? [b11 b12] [b21 b22 a12 A = a21 and B…

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Q: A study determined that 3% of children under 18 years old lived with their father only. Find the…

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Q: A 100-L tank was initially empty, but is to be filled with salt-and-water solution. The way the…

A: The given volume of the tank is 100 L. Let v=1+cos2t and cs=0.21+cos2t. The initial time is 0 min…

Q: The set ГО В — is called the standard basis of the space of 2 × 2 matrices. 37 8 Find the…

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