Find a vector equation and parametric equation

Q: i. Show z on an Argand diagram ii. Express z in polar form iii. Express z in exponential form

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem,...

Q: fired supremum of As 3n +2 Inew y. 2nt/ Prove your arswer

A: This problem is based on finding the supremum.

Q: One well-known bread store is franchising in Metro, they sell their bread depending on the taste of ...

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Q: sketch and identify curve defined  by parametric equations {x= 3t + 2 y= 2t + 3

A: To find- Sketch and identify curve defined  by parametric equations. x = 3t + 2y = 2t + 3

Q: а. Give two different topological sorts of G. b. Is each of the following orderings a topological so...

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Q: 1. Use the Lagrange's formula to find the quadratic polynomial that takes these values 1 Then, find ...

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Q: X"+5x'+4x=2t^2+4 with IC x(0)=3 and x'(0)=1 Find x(0.25) to at least 3 decimal places of accuracy.

A: consider non homogeneous linear differential equation a2(x)y''+a1(x)y'+a0(x)y=r(x). The associated h...

Q: 1) Let p be a prime number. Show that Z) := {EQ| p does not divide b is a subring of Q with only one...

A: Solution:-

Q: Use the definition to find the Laplace Transform of the given function (t, 0st<1 f(t)= OSt<1 1, t21

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

Q: If Z1 = 3cjs 12 7 z3 = 3cjs (-) 12 and 5 Z3 = 12 what is (z1)° (z2)*(z3)5

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Q: 7. The number 2022 has three distinct prime factors, a, b, and c. The number 2022! can be factored a...

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Q: 7. Using Simpson's 3/8th rule, evaluate f, by dividing the range into six equal parts.

A: By using Simpson's 38th rule , we have to evaluate the integral ∫01dx1+x2 by dividing the range into...

Q: Numerically integrate f(x) = x2 from a=0 to b= 2 using a multiple segment (n-2) trapezoidal %3D rule...

A: Trapezoidal rule  ∫abf(x)dx≈Δx2​(f(x0​)+2f(x1​)+2f(x2)+2f(x3​)+⋯+2f(xn-1​)+f(xn​))whereΔx=b-an

Q: See Definition 3.1.2 for lim an = ∞. n-00 if lim an = o, prove that the sequence (an) does not conve...

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Q: 4a -2

A: The given expression is 4a-2a+9a-6a-4a to simplify the expression proceed as follows  

Q: Consider a function f (a) whose one real root is to be solved using Newton-Raphson Method. If the in...

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Q: A population grows according to an exponential growth model, with Po = 70 and P 133 %3D Complete the...

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Q: 1)Determine whether the following function is one-to-one: f = {(1,2), (3, 4), (5, 6), (8, 6), (10, ...

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Q: (iv) The power set P(C) of C by listing down the elements directly.

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Q: Which among the following is purely imaginary? Select the correct response: Z= 6 Z= 7-9i Z= -1 +2i Z...

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Q: 6. т + 2n 4 2m + 4n = -8 No solution (parallel lines)

A: Linear equations

Q: y" + 2lf + 2y = 0, y(0) = 1, f(0) = 1 he solution as a linear combination of y, and y2-

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Q: Give an example of a vector space V over a field F, and of a linear transformation T : V –→ V that i...

A: Let V be a vector space V over a field F and T:V→V To Prove : Surjective (onto) but not injective (o...

Q: any positive integer n, let Z∗n denote the set of all elements in Zn that are not zero factors. An e...

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Q: Let V be the vector space over the field of real numbers consisting of all real-valued sequences (a1...

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Q: dz at (u, v) = (1,1) if du Use chain rule to find -z + 1);), = x = 3u – v², y = u® z = x sin( (y? | ...

A: If the input of the function is more than one, then it is called a multivariable function. In this p...

Q: 1. Let A, B, and C be sets such that An BnC + Ø. Draw a Venn diagram for each of the following set o...

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Q: Find the values of the unknowns x and y. 3 0 y -4 -5 If: Is 3 x -2 1 a. 3, 1 b. 1.3 c. 3,2 d. 2, 5

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Q: g: Q→Q defined as g(x) = 7x+16

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Q: dx using 4-segment Trapezoidal Rule? 1+x What is the estimate of the integral a. 0.708334 b. 0.69702...

A: Given: Let us determine the estimate of the given integral ∫01dx1+x using the 4-segment Trapezoidal ...

Q: nd an explicit formula for P. Your formula should involve n. se your formula to find P, %3D Sive all...

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Q: 11. Three people (X, Y, Z) are in a room with you. One is a knight (knights always tell the truth), ...

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Q: e) In a net present value (NPV) analysis it is found that proceeding with a contract with required r...

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Q: Let A = {#, 7, x} and let R be the relation on A given by R = {(7, 7), (#, #)}

A: We have to  Prove or disprove reflexivity, symmetry and transitivity of R.

Q: , for x 1 Dicours the contuniuty of f and f'

A: Introduction: If there is no break in the graph of a real-valued function over an interval, the func...

Q: Considering the system of linear equation below, What is the %ER for x2 in the 2nd iteration? if the...

A: Apply the following steps, to solve the given system of equations by Gauss-Seidel method. Rearrange...

Q: 24 OXYZ is a trapezium. Y Diagram NOT accurately drawn X M N OX = a XY = b OZ = 3b M is the midpoint...

A: WE HAVE TO USE SECTION FORMULA FOR VECTOR  IF a vector c divide line segment joining a and b in the ...

Q: 6. The diagram below shows a rectangle inscribed in a right triangle having a base of 12m and a heig...

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Q: Give an example of a vector space V over a field F, and of a linear transformation T: V –V that is: ...

A: A transformation T:V→W is injective(one to one) if each element of V mapped on distinct element of W...

Q: 2. State whether each statement is true always, sometimes, or never for a polynomial function f (x)....

A: Let us consider a function f(x) then the maxima and minima  is obtained as Find the critical point ...

Q: State the scope of each quantifier in the following expression: "3y, [R(x, y) ^ Vx (~P(x, y) ^ Q(x, ...

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Q: Find the inverse's of -6854 modulo 979 (note that 0 <= s <979). Justify the existence of the inverse...

A: Given:  the inverse's of -6854 modulo 979 

Q: Can u give 10 matrix terminologies and its definition.

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Q: Let B and B* be bases for topologies T and T*, respectively, on a set X. Suppose that each B EB is t...

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Q: Q4) Suppose there is a decrease in the demand for investment, and increase in saving in an economy. ...

A: As there is decrease in the investment the real rate of interest increases because the savings in an...

Q: Q3) The component of national economy is as follows: Y= 5000 C= 1800 T= 1400 C= 500+(1/2)(Y-T) |= 19...

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Q: 4 3 1 let A = -1 1 -3 Find a basis for the eigenspace corresponding to the eigen- 4 9. value A= 3

A: given  A=423-11-3249 find a basis for the eigenspace corresponding to the eigenvalue λ=3

Q: Question 3 Consider the DE y' = y + 9y + 8y³. A) Find the critical points of the DE. B) Sketch the s...

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Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal...

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1 ...

Q: Find the first and second quartile, median, and the interquartile range.

A: To find the first and second quartile, median, and the interquartile range of the given data.