Find the equation of the circle which touches both the axes and the straight line 4x+3y=6 in the first quadrant and lies below it.

Q: If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle then find the radius of the circle.…

A: The diameter of circle is the perpendicular distance between the parallel lines (tangents) 3x-4y+4=0…

Q: Let f(x) = 2x - ² (a) Rewrite this quadratic function in standard form: f(x) = ax²+bx+c and indicate…

A: Bartleby guideline :  Since you have posted a question with multiple subparts , we will provide the…

Q: Let f:X->Y be a function between metric spaces (X,d) and (Y,d). Prove that f: (0, infinity) -> R,…

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Q: तू zero B decreasing increasing ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 1 In the segment…

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Q: ssible value of N. (7) (C) A student asks what the best way is to show if a number N is prime. What…

A: For the first case,           N = 143      => √N = √143 ≈ 12 [nearest integer]    So, we try to…

Q: Decide whether the limit exists. If a limit exists, find its value. a. lim x²-9 x+3x²+x-6 √x-6 X-36…

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Q: Work done by the force F(x,y) = (3x² +3e-7+(-4y²-3xe - acting along the curve y = x³ for 0≤x≤l is…

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Q: The centroid c of a circular sector is provided by the equation: x=- angle so that x = r 2 2 Stop…

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Q: interpret geometrically ||a||=1 in the transformation z -> az (z complex number)

A: Answer given below.

Q: 4. [5 points] Approximate at 0. de using the 4-th degree Taylor polynomial centered

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Q: In this problem we show that the function lim (x,2x)→(0,0) does not have a limit as (x,y) → (0,0).…

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Q: Problem 3.1 Find the radius of convergence R of the following power series (note that R could be…

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Q: Consider the Graph M in Figure Q4. The number on each edge is the weight of the edge. 14, 20 12 D E…

A: We know, in a spanning tree T of G, there exists a path between a pair of vertices {u, v} in G.…

Q: Find an equation E = 0 or inequality E‡0, where E' is an expression involving z and y, such that (x,…

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Q: Discrete Mathematics: Prove that for all real numbers x, y, and z, if x + y + z ≥ 3, then either x ≥…

A: We will prove by method of contradiction

Q: Given that -0 4 write 1 = 0 1 0 -1 0 -1 -1 0 1 4 as a linear combination of the vectors 1 ~ 0 0 1 0…

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Q: Solve the system X1 X2 X3 X4 || 5x1 -X1 4x1 3x1 +s -4x2 +x2 - 3x2 - 3x2 +4x3 +3x4 +2x3 +2x4 +6x3…

A: Solution:

Q: Using only Euclid's 5 postulates, prove that when two parallel lines are crossed by a transversal,…

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Q: Compute the number Answer: (-1)" (250) ² + 18 +18. (2n)! \6 4 n=0 2n

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Q: Find the general solution of the system whose augmented matrix is given below. 1-30-1 1 0 0 0 0 0…

A: The given augmented matrix is, 1-30-10-90100-56000195000000 We have to find the general solution of…

Q: Describe the possible echelon forms of the standard matrix for a linear transformation T where T:…

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Q: Describe the possible echelon forms of the standard matrix for a linear transformation T where T.…

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Q: 21. a²uxx = ₁; u₁(x, t) Unti u₁(x, t) sin Ax, λ a real constant = sin(xx) sin(at), u₂(x, t) =…

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Q: Let R be a vector-valued function such that R(0) = (0,2,1-2√2) and for every te R, R' (t) = (2√2…

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Q: Find the unit tangent vector T and the principal unit normal vector N for the following…

A: Since you have uploaded multiple questions according to our guidelines we have solved first question…

Q: Based on Discrete Mathematics, Please answer the following question without handwriting Define…

A: Our aim is to write the basic vocabulary of graph theory.

Q: Let n and k be integers such that (n, k) = 1. Prove that (n, n − k) = 1.

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Q: Solve the problem. The graph shows the average cost of a barrel of crude oil for the years 1981 to…

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Q: Consider the triple integral S S SM dv where M = {(x, y, z) | x² + y² + z² ≤ 4, z ≥ 0, and x² + y² ≤…

A: The given region is M=x,y,z| x2+y2+z2≤4, z≥0, x2+y2≤1. To SETUP: integrals for the volume of the…

Q: X, suppose that the answer is desired 24. In computing the sum of an infinite series with an…

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Q: to find L{f(t)}. (Write your answer as a function of s.) 0, (cos(t), L{f(t)} = f(t) = 0 ≤ t π/2 (s…

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Q: Problem 3.2 Let d be the divisor function. Show that Σd(m)³ = min min Hint: It is useful to exploit…

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Q: Convert AEA16 to decimal.

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Q: +3y=t; y(t) = t/3, y₂(t)=e+t/3 9. 12y"+5ty'+4y=0, t> 0; y(t) = t2, y₂(t) = 1-² Int

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Q: Which of the following is a subset of {1, 2, 3, 4, 5, 7, 8, 9, 10}? Note: There may be multiple…

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Q: Use the definition of A to write the vector equation as an augmented matrix. 0 x₁ + x2 + x3 + X4 =

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Q: Find the value(s) of k so that the quadratic equation will have two imaginary solutions. 3x² 12x + k…

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Q: Classify each function or description of a function as a polynomial, a rational function, or neither…

A: Answer given below.

Q: Convert 65478 to Hexadecimal.

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Q: "ind the family or vector-valued functions whose second derivatives dt² (-2 cos(t), 6). (Your inst…

A: Answer given below.

Q: ) The transfer function of the system described by dt² input and y' as output is: (s+2) (a) (s² +s)…

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Q: Convert 25010 to 8-bit binary.

A: We have to convert 25010 to 8-bit binary. We can convert it by continuous long division of 250 .

Q: Consider the following linear transformation and basis. Find the standard matrix A for the linear…

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Q: Use the limit comparison test to determine whether the following series n=1 (+4) n n In 1+ converges…

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Q: Evaluate the limit, if it exists. t² - 36 lim t-6 2t² + 13t+ 6

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Q: Complete the following subtraction using 8-bit signed two's complement binary. For your answer,…

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Q: Find the general solution of the system whose augmented matrix is given below. 10-7 0 - 4 6 01 3 -1…

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Q: Write the coordinates of the vertices after a dilation with a scale factor of 4, centered at the…

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Q: Iter 1 2 X₂ f (x₂) f(x)=8e* sin(x)-1 f'(x₂) Xi+1 Ea (%) & (%)

A: The given function is fx=8e-xsinx-1. Therefore f'x=-8e-xsinx+8e-xcosx. Also given that x0=0.3 also…

Q: Suppose that the governments of several countries have agreed to form an international bureau to…

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