Proof the Chebyshev’s Theorem in detail and give an example

Q: Q2) Figure 3.5 shows the geometry of a planetary orbit around the sun. The position of the sun is…

A: Given Kepler's equation is: x-εsinx=2πtT Substitute the values,  ε=0.01t=T4 So, the equation…

Q: Find an equation for the tangent plane and parametric equations for the normal line to the surface…

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Q: Determine the following estimate without using a calculator. Then use a calculator to perform the…

A: Solution : Given that  A full time employee who works 40 hours per week  earns $25.50 per hour

Q: Construct a truth table for ((pvq)^p)→q.

A: Explanation of the answer is as follows

Q: A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the…

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Q: A small software corporation borrowed $315,000 to expand its software line. The corporation borrowed…

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Q: 2. Identify an inner function u = = g(x) and an outer function y = = f(u) of y = er³+2x 3. Express…

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Q: x+2y+3z=4 19. 3x+6y+z=2 (no solution) 2x+4y+z=-2 [x-2y+3z=4 20. 3x-y-z=2 x+y-3z=-2

A: Total Equations are 3x+2y+3z=4→(1)3x+6y+z=2→(2)2x+4y+z=-2→(3)Converting given equations into matrix…

Q: A clerk must use the elevator to move boxes of paper. The elevator's maximum weight limit is 1441…

A: We can solve the following problem as follows. Let x be the number of boxes she can move at a time.…

Q: 4. The community college soccer team sold three kinds of tickets to its latest game. The adult…

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Q: r(t) = 4 + sin(0.263t+4.7) + cos(0.526t+ 9.4) Here, t measures time in hours after midnight on a…

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Q: the inverse of the following matrix. 1 1 1 1 1 0-1 0 2 100 0 -1 12 22. 23. 1 1 1 0-1 20 100 -1 2 0…

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Q: Show that the set W is a subspace of M3x1 using the Subspace Test.

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Q: Exercise .. i in set pology Exercise 3. Show that the subsets A, B of the topological space X can be…

A: Two disjoint sets A and B in a topological space X is said to be separated if there exists two…

Q: Important metric spaces. Fix p = [1, ∞). Let lº denote the collection of all sequences {n}neN in R…

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Q: Express the field D = (x² + y²)−¹(xax + yay) in cylindrical components and cylindrical variables.

A: As multiple questions are there and it is not mentioned which specific question to be done, the…

Q: A 1) min pxx + pyy s.t. Xxx + ayy =ū x, L(x, y, 2) = px x + P4y px + xxλ=0 Py + xy₁ = 0 2²:…

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Q: The triangular region shows the number of possible ounces of pepperoni slices, x, and the number of…

A: x---------> the number of possible ounces of pepperoni slices y--------> the number of…

Q: On 2021-11-19, Melisandre deposits $833.55 in an account paying a simple interest rate 7.270%.…

A: Melisandre's deposit is $833.55 Simple interest rate is 7.270% Time period is Between 19-11-2021 to…

Q: -metric utility (et p) is elp, v(p,w)). on the choice of P. in consumer welfare from (p,w) to (p',…

A: Indirect money-metric utility (at p¯) is e(p¯,v(p,w)). This depends on the choice of p¯.…

Q: Prove each of the following statements e) Prove that -la] ≤ a for all real numbers a. 1 f) Prove…

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Q: Is this a subspace of M

A: Introduction: A vector space that is totally contained within another vector space is known as a…

Q: Consider the following system of equations. {22² + x+y=1 = 0 2x² + 2y²-4y - 6 = 0. a. Transform the…

A: (a) Given system of equations are:- x+y-1=0   ..............(1) 2x2+2y2-4y-6=0   ................(2)…

Q: For the equation of the parabola given in the form (x-h)² = 4p(y-k). (a) Identify the vertex, value…

A: Note: As per the honor code, only one question can be solved at a time and up to 3 sub-parts only.…

Q: Which of the following is a non linear differential equation A. dx t 3x = 0 B. dw ax² ag C. (2x² +…

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Q: Let D, E be non-empty sets, let ACD, let BCE, and let f: D E be a function. Prove that Anf¹(B) ≤…

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Q: Suppose f(x, y) = √tan(x) + y and u is the unit vector in the direction of (1, 1). Then, (a) ▼ ƒ (x,…

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Q: (roots of unity) The extension of the real field to complex numbers ensures that any polynomial of…

A: The equation  xN - 1 =0 i.e. xN =1 has N- roots which are called Nth roots of unity, and are given…

Q: Suppose that a package courier service promises to deliver to customers at 10:00 am on the morning…

A: We have find the value of D  With the help of op cost and total cost

Q: M Problem 5. For each of the following pairs of shapes S a and state whether they are homeomorphic.…

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Q: A: 1) min pxx + pyy s.t. xxx + αyy =ū L(x, y₁x) = px x +P₁Y + X[Xxx + xyy_ū] X: px + 1x2=0 Py + xy₁…

A: Since you have posted multiple questions, so we will solve only the first question for you. Kindly…

Q: a. 5ax at P(4, 120°, 2) b. 5a, at Q(3,4,-1) c. 4ax - 2ay - 4az at A(2,3 ess the unit vector ax in…

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Q: Solve the following using variation of parameters show complete solution: 1. (D²3D + 2)y: = 2x 1+ex

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Q: et n‡o (modp), consider the remainders mode of following (P-1)/2 may infogers.

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Q: Monica is making friendship bracelets out of beads and string.eacb bracelet requires .75 feet of…

A: String required for a single bracelet= 0.75 feet Total length of string Monica has = 41 feet

Q: Show that day) = So, x** 0₁ X=Y. defines a metric on X₂

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Q: (a) Solve: 2611 = 605 (mod 2021)

A: We have to find the value of X from the given information. According to guidelines we can solve only…

Q: xyz)-22k be a vector field and S be portion of the paraboloid 2-25 that is inside the cylinder x2 +…

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Q: L EIN S X d(x] + [x]) Show Transcribed Tex x.d cos x

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Q: n a population of 100,000 people, 40,000 are infected with a virus. After a person becomes infected…

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Q: a subspace of the vector space R³ or not. Briefly explain. 71. ry 2 0. 72. |x| = yl. 73. ry ≥ 0 and…

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Q: #1 27 Prove that lim 777-20 1²-20 216 # 3 #2 Define a =0 - (give Define a sequence {ant by selling…

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Q: Question: Find the solution to the nonlinear ODE y(t) - 3t-¹y(t) = t4y(t)²; y(1) = 1, and find the…

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Q: 1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the…

A: The standard form of the hyperbola is y-k2a2-x-h2b2=1 The vertex are(h,k±a).  The foci are (h,k±c)…

Q: What is the inverse operation of subtraction

A: What is the inverse operation of subtraction.

Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

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Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

A: Given system is x't = A xt +ft. Here,  A= 0-10-100001,   ft = 3 e3tsin2tt. Take x = x1x2x3.

Q: Problem III Evaluate the following determinant. 2 1 1 1 1 12 11 1 42. 1 1 2 1 1 11 12 1 11 112 13 2…

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Q: Prove each of the following statements a) Use the direct method to prove that if a < 0, b < 0,c< a,…

A: We have given that a&lt;0 , b &lt;0 , c&lt;a and d &lt;bIf we multiply by negative number then…

Q: Q19D. Suppose that a security specialist and a remote command team are using the RSA cryptosystem to…

A: Given- p = 17 and q = 5 To find- The value of ϕ?     Concept Used-  In an RSA cryptosystem, If p and…