Find the equation of the parabola whose axis is vertical and passes through (-1,0), (5,0) and (1,8).

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Q: Solve the following system of equations using ode45. dy = -4y, – 2y2 + cos(t) + 4 sin(t), y,(0) = 0…

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Q: Using Balzano Method, approximate the roots of the polynomial f(x) = X3 - 7X + 6.

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Q: Prove that y is a negative Cauchy sequence if and only if -y is said to be a positive Cauchy…

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Q: Prove that if 2^n+1 is prime then n is a power of 2.

A: Given, 2n+1 is prime To prove that n is a power of 2 if 2n+1 is prime

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Q: cosz Let f(z) = The residue off(z) at zo = –1 (z²–1)2' a) – sin 1 b) -cos1 c) sin1 d) None of the…

A: Consider fz=coszz2-12. To find the residue of f(z) at z0=-1.

Q: The diagram below shows a Figure on a coordinate plane.

A: Given figure:

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Q: 3. Lagrange Interpolating Polynomial (. Find the second degree Lagrange Interpolating polynomial…

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Q: FINO THE OLUME FORMED BY REVOCVING THE HYPERBOLA xy - from to X=4 about the y- uxis

A: Here the curve is xy=6 and x changes from 2 to 4. we have to find the volume of the given curve

Q: 1. Bisection Method a Use the Bisection method to find p, for f(x) = V - cos x on (0,1] , b. Let…

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Q: 3) Show relevant work to detern same line. L1: (x,y)= (2,2) + s(4,-2) L2: (x,y) = (18,-6) + t(-8,4)…

A: Introduction: A parametric equation is one in which the dependent variables are defined as…

Q: f(x)= sen (2x) f(x)= sen (2x) On = 0 f(0n) = sen(2x0) = 0 = 3.9269 %3D %3D %3D = 0.7853 4…

A: The given function is fx=sin2x

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Q: Find the Cortesían coordinates of the' point P with polar coordinates CG,Ę)! 6 6) Find the equation…

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Q: -x-1; when -x<r<0 f(x) = when 0 <I<a Prove whether f(x) is a Dirichlet function. Show that the…

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Q: Q3. Point a base of this subspace of R*: W = { (x,y,z,t) ||-y+z=0,t - = 0 }

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Q: Find the surface area of a square pyramid with side length 5 cm and slant height 4 cm. 4 cm 5 cm 5…

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Q: using wronskian show that each of the following sets of functions is linearly dependent {cos2x,cos^2…

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Q: Suppose that V =Span « Determine whether each of the following sets is a basis for V: 2

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Q: 4. Arc Length and Unit Tangent Vectors: a. Calculate the length of the curve 7(t) = 4 sin(t) i + 3tj…

A: The given equation of curve is rt=4sinti+3tj+4costk from 0≤t≤2π

Q: Suppose A represents the adjacency matrix of graph G. Then: O a. A is an asymmetric square matrix O…

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Q: Exercise 4. z-sin z Consider the function f (z) 23 The type of the singular point 0 is: a) Pole b)…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Which of the following is a false statement if arbitrary matrices A, B, and C for which the…

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Q: 10 8. 9,

A: the rise and run are marked as follows

Q: 1) Show that F is conservative the find a function f such that F = Vf and use that function to…

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Q: Find the inverse of the following matrix: 1 2 1 2 -1 2 1 1 -2

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Q: Graph the function. f(x) =/-x+1 Plot four points on the graph of the function: the rightmost point…

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Q: Question 9 Find the equation of the tangent to y = xvĩ at the point where x = 4 8 2. 6. 4. 2.

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Q: Q2-use Newton-Raphson method to obtain a root of equation x'-5x+3+0

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Q: Find a homomorphism from the group (Q, +) to (R, +). Find a one-one map if exist from Q to R that is…

A: Given :  (Q, +)  and (R, +) be the given additive groups. To find :  A homomorphism from (Q, +) to…

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Q: Q11 (aitı-) is sub field of (Rit,.)

A: Specify the question to be solved as per policy (a) is solved

Q: Use the second Taylor polynomial P2(x)P2(x) for f(x)=x2+ln(1+x)f(x)=x2+ln⁡(1+x) about x0=0x0=0 and…

A: P2x=f0+f'0x-0+f''0x-02f(x)=x2+ln(1+x)f(0)=0f'(x)=2x+11+xf'(0)=1f"(x)=2-1(1+x)2f"(0)=2-1=1∴P2(x)=x+x2…

Q: 1. State whether or not each diagram in the figure below defines a function from A = {a, b, c} into…

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Q: The derivative of f(z) = Log(2iz – 4 + 6i) at z = -3 + i is O Undefined. O Log(-6). O None of them O…

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Q: Solve the following exercises, you will need to show all your work to receive full credit. Consider…

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

Q: n the sketch at right, lines a, b, and c represent railroad tracks. Which of t arallel? Use angles…

A: Find the measure of angle 1 70°+∠1=180° straight angle Therefore ∠1=180°-70°∠1=110°  similarly find…

Q: 2. Let n be a natural number and let A, B E Mnxn(C). If AB = 0, does it follow that either A = 0 or…

A: Given :  A, B ∈ Mn×n(ℂ)  with  AB = 0. To find : We have to examine whether  A=0 or  B=0.

Q: 4) If a wire in the shape of the helix: x = 2 sin t,y = 2cos t,z = 3t;0 <t < 27, and the density is…

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Q: 2.) Test the series for convergence or divergence. a0 sin(n+)* Hint: Use the Alternating series…

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Q: -1: [8X1 marks] Let P, Q, R and S be the propositions: P: "Ahmad comes to the party", Q: "Salim…

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Q: Find the general edo solution: y'''' + y = 0   Please, someone help me!!!

A: Introduction: A higher order linear homogeneous equation is solved through finding and solving the…

Q: Let g(x) = evcos a+a. Approximate the value of g(0.2) using the second degree Maclaurin polynomial…

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Q: ) Find the general solution U(x,y) to the second order partial differential equation Uxy = 0.

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Q: A rock falls from a 256-foot cliff. The position of the rock relative to the top of the cliff is…

A: The given information is; A rock falls from a height of 256 foot. To find the velocity at the time…