Sketch a unit circle and mark the approximate location of the point determined by the given number. Numbers 7 and 8

Q: For parametric representation of curves, one is the most common interval for the parameter t? [0,…

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Q: Find a matrix M in which the graphs represented by M as an adjacency matrix and as an incidence…

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Q: 4. Describe, with examples, how differentiation, limits and integration are used in real life.

A: To Explain: Real life examples of Limits, differentiation and integration.

Q: y" - Y+1 = cos(+) u(

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Q: 5. Let = {{a,b,d}, {b, c, d, e}, {a, b, d, e}, {a,b, e}}. Find Un and n.

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Q: Question 3. Define an odd periodic extension of f(t) = 2 + 2t, and hence find its half-range sine…

A: The given problem is to find the odd period extension of the function and half range sine series…

Q: (c) The orthogonal complement of the subspace is... [Select] V = a b C e > € R5 : a = 2c, c = e/4…

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Q: 2 (a) Use the Comparison Test to show that the series En-1 4n3n²+3 converges. (You may use the fact…

A: We have to check the convergence of the following series.

Q: Generate solution of the higher-order differential equations using different analytic techniques.…

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Q: Question 5. -7s The inverse Laplace transform of s²+4 is A cos(bt), where A and b are constants such…

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Q: Letting m and ʼn be two positive integers, for which positive value of a, the following integral is…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an Since lim…

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Q: Evaluate (b) along the curve x = 21-2, y = 1+1-1². (3xy + y²) dz (a) along the straight line joining…

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Q: (5) Compute the max and l₁ norms of A = -10 √2 3 1 0 -1 -2 0

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Q: 1 n3 + 2n मेरे /n6 + 13

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Q: Which of the following properties do you think are topological and why? a. Continuity. b. The…

A: Given Data: Let us consider the given following properties do you think are topological and why. To…

Q: Show that the boundary of a set A in the plane is always closed and that the boundary of A is equal…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Identify whether the system is linear homogeneous, linear…

A: Given Data: Let us consider the given data,…

Q: divide f(x)=k•xa. Desscribe the portion of the curve that lies in Quadrant I ot IV. Determine…

A: (22)  Given curve is  fx = -2x34   (i)      Take  y=fx  then we get  y = -2x34                (a)…

Q: The inverse Laplace transform of 4s² 44s + 130 (s - 3)(s² - 14s +50) is: peat - +qeßt cos(wt) + rest…

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Q: ppose that a and b are odd natural numbers and a² + b² = c². Prove that c is irr

A: We can prove for irrational.

Q: Use the addition method to reduce the linear system of three equations to two equation in terms of x…

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Q: 2.a) Find Vop if p = In|r]. b) Find Vp if p==. c) Show that V7" = 1.-27. d)Prove that V² (¹) = 0.

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Q: Refer to the data in the table below. -3 3 -4 -2 -1.5 0 0.5 2 2.5 -2 -1 -1.5 0 0.5 0.5 2.5 2 3…

A: Given: The given data is:

Q: Explain why if an converges, then limn→∞ an = limn→∞ an+1 . I need explanation why this theorem…

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Q: suppose that cosx=0.Combine this with the first fundamental theorem of calculus to prove sinx=0.USe…

A: We will use fundamental theorem of calculus  If f is a  real-valued function on a closed interval…

Q: Let D be the solid in the first octant bounded by the planes y = 0, z = 0, and y = x, and the 2 2…

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Q: 1) Find the Laplace transforms of t-1/2 and t-1/2. Prove that the Laplace transform of t+1/2, where…

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Q: Reverse the order of integration in the inte- gral 1 - L ( L I = 0 0 f(x, y) dx dy, but make no…

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Q: use synthetic division to prove that the number k is lower bound for the real zeros of the function…

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Q: Counting classes. Your institution will off 200 course next semester, each at a different time you…

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Q: √x Use the sign chart for f" to determine intervals on which function f(x)= x-2 concave down or…

A: Solution:- Concavity intervals definitionIf f ''x>0 then fx concave upwards.If f ''x<0 then fx…

Q: Make a scatter plot of the data and determine which type of model best fits the data. X - 1 1 -2 3 0…

A: Given: The given data is:

Q: Scalar line integrals Evaluate the following line integral along the curve C.

A: Given a line integral ∫C2x+yds where C is the line segment rt=3t, 4t for 0≤t≤2. Here xt=3t and yt=4t…

Q: 4. Evaluate f(x+iy2) ds around the circle |z| = 2 where s is the arc length.

A: The given integral is I = ∮(x2 +i y2 ) ds where the integral is over the circle C : z=2 and s is the…

Q: Factor completely, or state that the polynomial is prime. 3x3 - 3x

A: We know the definition of prime polynomials. A polynomial with integer coefficients that cannot be…

Q: 6. Let = {An: n = 1, 2, 3, ...} where An = {0, 1, 2, ..., n}. Find U and n. Prove your coniecture

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Q: Evaluate the triple iterated integral. TT/2 'π 15 6² 6² 6² --- ³² 10 e-p³p² dp de do

A: The given problem is to evaluate the given triple integral with given limits of integration.

Q: Change the order of integration in the integral Reverse the order of integration. SS f(x,y) dy dx…

A: Sol:- To change the order of integration , first plot the graph of  x = y2 x = y

Q: 1. Evaluate the following integrals: (a) [182³ s 1825 sin (92²) dr (b) Sa 7 1 dx z ln²₁ √I

A: ∫18x5sin9x2dx Let 9x2=z dz=18xdx…

Q: (a) How many re-arrangements are there of the words PHILIPP, PHILIP, and PHILLIP? Which one has the…

A: a) A permutation is a Mathematical technique used to determine the number of different arrangements…

Q: If a research design has two nominal independent variables and a scale dependent variable, which…

A: (a) Pearson correlation coefficient The test statistic that assesses the statistical association, or…

Q: Find the Laurent expansion of f(z) = 1 (z+1)(2+2) 2+1 1 2+2

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Q: The Fourier series representation, FS(t), of a function f(t), where f(t + 4) = f(t) is given by FS…

A: We can find Fourier coefficient.

Q: Scalar line integrals Evaluate the following line integral along the curve C.

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Q: Find, if possible, A + B, AB, 2A, 2A - B, and B + A. (If not possible, enter IMPOSSIBLE in any…

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Q: Evaluate dz/z-2 around (a) the circle |z − 21 =4, (b) the circle |z1|=5, (c) the square with…

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Q: POET = by the

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Q: O a Ob O C Od 6. If A,B and C are 4x4 matrices, wwwmmmm detA=1,detB=3 and detC=2, what is the value…

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Q: Which of the following statements are true by the comparison test? 3 3 x² + 2x A. The integral B.…

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