Construct a function that passes through the origin with a constant slope of 1, with removable discontinuities at x=-3 and x=1

Q: Find the sum of the series. ∞ (−1)n 2nx2n n!   n = 0

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Q: (5) Using Pascal's triangle, find the fourth term in the binomial expansion of: (2x-3y²)7

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Q: 1<n<r We note that fo F(x) = 0 for a € (0.1), hence indeed fo F E S. If support of F is abset of…

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Q: On the binormal to a given curve, a point Q is taken at a constant distance c from the curve. Prove…

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Q: Find the determinant of each of the following Matrices. D=4 7 0 1752 T 20 C= 1 2 3 100 201 302 300…

A: We have to find the determinant of each of the following matrices. C = 123100201302300600903D =…

Q: Find the volume of the solid generated by revolving the region bounded by y = 2x, y = 0, and x=3…

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Q: -- S P₂ (t) dt 0 P₁(x) = 1 P₂(x) = cos x 1 + ¹+ ſ P3 (t) dt X P3(x) = cos x + 9₁ (t) dt 0

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Q: a) and b) too please

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Q: Exercise 7.13. Show that the map $,(r. y) = r²r x² + y²¹ 2) y² is inversion in the circle with…

A: We need to show that the map Φrx,y=r2xx2+y2,r2yx2+y2 is inversion in the circle with radius r and…

Q: Consider the region bounded by y = ln(x-1), y=2-x and x = 4 (see the figure on the right). a. Setup…

A: We are given the following region from the item #2.           The pink color line is the equation…

Q: ogs Projwots b Donto the 1 mafoix P that columm space of A, that is, pb-C col (A) and b-ph is…

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Q: Consider the vectors U₁ of R3. The vector v = {U₁, U₂} if x is: 10 O 3 02 O None of these X 8 Select…

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Q: uce the following systems to a single transfer function using block diagram reduction techniques.…

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Q: Use the appropriate substitutions to evaluate the integral ſſ(2x−y)(x + y)dA, where R R is the…

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Q: Find a basis for the subspace of R³ spanned by S. S = {(5, 9, 9), (1, 3, 3), (1, 1, 1)} STEP 1: Find…

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Q: For S in the domain of f, let f ( 5 ) = { f(x): * € S}. Let C and D f de subsets of the domain of f.…

A: S is in the domain of f fS=fx: x∈S Let C and D be subsets of the domain of f Then we have to show…

Q: Write the base two numeral 110000, in expanded form. (1x2)+(1×25)+(0×2¹)+(0×2³)+(0×2²)+(0×2¹)=96…

A: (110000)2 =

Q: Write down the coefficients a6, be in the Fourier Series of the function a6 = b6 = ao+an cos(nt) +…

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Q: Consider the dynamical system Vk+1 = AVk where  V0 =  0 3 A= 0 1 6 -1   Find a formula in terms…

A: The given dynamical system is Vk+1=AVk, where V0=03, A=016-1. The objective is to calculate the…

Q: (i) = 5. If r(t) = tcostī + tsintī+3tk, Answer each of the following: Find an equation of the…

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Q: -(x²+2)y"+3.xy'-y=0 find power series solutions at x=0

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Q: Find the Fourier Transform for the following periodic function defined in one period; f(t) = {el if…

A: The given problem is to find the Fourier transform of the given periodic function f(t).

Q: Consider two real systems, say Ax = b and Cy = the two systems have the samenonempty solution en, is…

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Q: What is the projection of v=e₁ +2e2 - 3e3 on H : x₁ + 2x2 + 4x4 = 0? 21

A: There are 3 question and student didnt mention any particular question to solve then i am solving…

Q: an you detail step by step how did you resolve the cubic equation

A: We have cubic equation σp3-48σp2-2184σp+38320=0 To solve a cubic equation we find one root using hit…

Q: A U.S. $1 bill was valued at 1.256 Canadian dollars in February 2018. What was the value of 27.32…

A: A U.S. $1 bill was valued at 1.256 Canadian dollars in February 2018. We have to find  the value of…

Q: 12. For the following telescoping series find a formula for the nth term of the sequence of partial…

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Q: Inflation has been running 4% per year. A car now costs $30,000. How much (in dollars) would it have…

A: Inflation has been running 4% per year. A car now costs $30,000. How much (in dollars) would it have…

Q: Approximate the area under the curve y with 6 subdivisions. x³ from x = 1 to x = 4 using a Right…

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Q: The relation {(1, 2), (1, 3), (3, 1), (1, 1), (3, 3), (3, 2), (1,4), (4, 2), (3,4)} is Select one:…

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Q: let A = 11 -3. 3 T 63 2.3 and b=3 1 -4 2 boron's sdt b017 a) Show that it is impossible to find a…

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Q: What is the dimension of the vector space M3,2? 6 3 9 2

A: We know that the dimension of the vector space Mm,n is m×n.

Q: Draw a graph that is Eulerian but not Hamiltonian.

A: To draw a graph which is Eulerian but not Hamiltonian.

Q: a) Solve X4+12X3−13=0, correct to 4 significant figures by an algebraic method of successive…

A: (a) We can use the bisection method to find the solution to the equation.  We have f(X) = X4+12X3-13

Q: 12. Test each series for convergence or divergence. State the test used. (a) i Inn 8n n=1 (b) (-1)"…

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Q: 4. Solve the wave equation Uxxr 0 0 u(0, t) = 0, u(x,0) = x(1x), Utt = u(1, t) = 0 ut(x,0) = 0

A: The given problem is to find the solution for the given wave equation partial differential equation…

Q: nha = aFor a in S, we denote it's it h component ival ently, we have = (al; : : ; an) is will always…

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Q: + 5 + + + 6 7 8 9 + + 10 11 12 13 14 15 16 data Based on the boxplot above, identify the 5 number…

A: Solve for the 5 number summary.

Q: Suppose T: R³-R² is a linear transformation. Three vectors U₁, ₂ and 3 are given below together with…

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Q: 2. Rewrite the expression as the sum and/or difference of logarithms. Simplify completely. In 7² e

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Q: Question 2. The function f(t) is defined as follows f(t)=3-5t+t²,0 < t <3. Define f (t), an odd…

A: The given problem is to find the odd periodic extension of the given periodic function and also to…

Q: 6. Evaluate the line integral fF.dr, where F(x, y, z) = xzi+2zj+yk and C is the curve given by the…

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Q: Define characters of A5 breifly . Answer should be typeed

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Q: The total mass of a rod of length L meters is M kilograms, and the measure of the linear density at…

A: We will find proportionality constant by using mass of the rod and then find linear density ,

Q: On the binormal to a given curve, a point Q is taken at a constant distance c from the curve. Prove…

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Q: . Evaluate FdS where F = (x, y², z + y) and S is the boundary of the region contained in the…

A: Here we will divergence theorem for a vector valued function F ∫∫S F.dS = ∫∫∫E divF dV Where E is…

Q: If A = 3) (a) A + B 2 -6 9 and B = X (b) B-A (c) 2A + 3B -1 J ↓ 1 -10), find A + B, B-A, and 2A +…

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Q: I have a very long rope of licorice: 93 inches long! If I cut it into 12 pieces, how long is each…

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Q: . Use Green's Theorem to find the flux of the vector field F (x, y) = (x + y, −x² — y²), where is…

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Q: Let S be a set, P(S) is the powerset of S, and let T be the set of all functions from S to {0, 1}.…

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