explan the mathematics in nature with examples

Q: Let f(x) = 2x²-3x+7 5x²-2x Find f(3)

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Q: Ex: Find the F. T. of the periodic rectangular pulse shown below X(t) Sols -To Cn=c -212 1 1/1 (n =…

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Q: ILLUSTRATION 1.10 Using distance formula, prove the Apollonius' theorem that is in AABC, AB2+ AC² =…

A: What is Apollonius Theorem: The line segment that joins a triangle's vertex to the middle of its…

Q: Which other teams did Team 4 beat and which teams beatTeam 4 in the round-robin tournament…

A: Given graph is Let the arrow direction P→Q denotes Team P beat Team Q.

Q: 24: Find the extreme points of the function f(x) = x + y ху On the circle x+y=2

A: We shall find out extreme points of the function in the next using the a equation of circle.

Q: 6. (a) Verify that the functions x1 = e²t and x2 = e-2t are solutions of the that x3 = x₁ + x2 and…

A: Aa per our guidelines, we are supposed to solve only first subpart. Kindly repost other subpart as a…

Q: Determine the root of the function ln (x2) = 7 a. Analytical solution of 3 decimal-point accuracy…

A: a) Analytical Solution: The given function is lnx2=7. Here we will eliminate the logarithm from the…

Q: ty' - y = t2e-t, t > 0 1-Based on an inspection of the direction field, determine the behavior as…

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Q: A child bought 4 pears and 3 apples for 90 cents. The next day they bought 3 pears and 4 apples for…

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Q: Copy of Let P(x) means "x is a freshman" and Q(x) means "x is a math major". Write the statement…

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Q: Prove that the average value of the function f(t) = over [1,2] is equal to In 2. A t

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Q: If y = u and u = 3x + 3, find dx X = - 1 11 dy dx when x = -1. (Simplify your answer.)

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Q: S Worksheet 2- Math 101 (USE A PENCIL) 1) Shown in the table below are the one-way airfares between…

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

Q: Take an n-cycle, and connect two if its nodes at distance 2 by an edge. Find the number of spanning…

A: Spanning TreeA spanning tree is a subset of Graph G, which has all the vertices covered with the…

Q: Find the Laplace transforms of the functions given in Problem: f(1) = sin 2t if a SI S 2n; f(t) = 0…

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Q: Let V be a vector space over F, let T€ L(V), and let WC be a subspace invariant under T. Prove that…

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Q: Evaluate these complex numbers: (a) _2 – j] (b) 6 30° + j5 –- 3 + e45°

A: To find- Evaluate these complex numbers:  j31 + j2 - j2 6∠30° + j5 - 3 + ej45°

Q: Determine the velocity vector of the given path r(t) = (6 cos² (t), 2t - t³, 3t)

A: What is Velocity Vector: The velocity vector of a given path is nothing but the rate of change of…

Q: EX: Find all residues of f(Z) = Sol: f(z)= 50 Z x₁ = [ -=520- 7/42-7] 2-4 (Z+4)(Z-1)² 12= L 11 d 10…

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Q: 16-20. There are three groups of friends. Group1 is composed of Horace (H) and lan (1). Group 2 is…

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Q: Explain the difference between mathematics in nature and nature of mathematics with examples.

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Show that the sum, over the set of people at a party, ofthe number of people a person has shaken…

A: To Show- Show that the sum, over the set of people at a party, of the number of people a person has…

Q: The system of equations: -10x1 + 2x2 + x3 + x4 = -3 2x110x2 + x3 + x4 = -15 10x3 + 2x4 = -27 x1 + x2…

A: The Gauss-Jacobi method can be used to approximate the solution of a system of linear equations by…

Q: determine projection of the vector b = -1 1 1 on the space generated by the vectors {--E)--[ -[+]}…

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Q: d²p If 2 dq² dp 7- +4p = e³x, what would be the solution for the particular integral? dq

A: Given the differential equation, 2d2pdq2-7dpdq+4p=e3x

Q: Use separation of variables to solve the differential equation dQ/dt=r(a+bQ), Q(0)=Q0, where a,…

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Q: P(x) 0.2 0.1 0.2 3 0.5 8 0 12 Find the standard deviation of this probability distribution. Round…

A: What is Random Variables: A random variable is a variable with an unknown value or a function that…

Q: Let G = (V, E) a graph, then show |{ V|dc(x) = 1 mod 2}|= 0 mod 2.

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Q: Which one of the following is not a group? (1): (8Z,+) where 8Z = {8n | n € Z} (2): (Z8, +) where…

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Q: g(x)=e+1 2 e'e'g(t) dt 0

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Q: Evaluate the complex numbers j(3 – j4)* (-1+ j6)(2 + j)² (a) z1 1 +j 4 – j8 11/2 (b) Z2

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Q: Determine the Maclaurin Series of sinx. a. Values of ?(?)0 and its derivatives up to sixth…

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Q: Find the sum of the degrees of the vertices of each graph in Exercises 1–3 and verify that it equals…

A: Given graph is

Q: Explain Special Linear Group is a Normal Subgroup of General Linear Group?

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Q: The characteristic equation of the matrix is A³ - 12A-160. The reduction of the following matrix…

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Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: Given system is x1'=6x1-7x2x2'=x1-2x2 We find the eigenvalues…

Q: explain the nature of mathematics with exaple

A: Hint: First explain the nature if mathematics then given an example of nature of mathematics.

Q: (b) Write the following vectors as linear combinations of 21, 22, and 23.

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Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: We have to write the given system of differential equations in the matrix form. So we get,…

Q: A detached home has a value of $800,000 in 2016. It appreciates in value at 4% compounded annually.…

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Q: A force of P₂ = 850 N is exerted on control arm BC, which is securely attached to the solid 25 mm…

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Q: Find the general solution of the linear system whose augmented matrix is [3 -2 4 9 6 -6 12 0 -4 8 0

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Q: Consider the system. Foxy = X=Y+1=C Eg(x,y) = y=x²³²-1=0 For X₁₂₁= 1.1 and 4₁₂₁ = 2.1, we have Don't…

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Q: 0000 The solution set to the homogeneous system is: 0000 y+ 0000 3

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Q: Help asap!

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Q: 4 -2 End Behavier As x-∞, f(x) (0,1) #∞ As x, f(x)➡ 0 (0.634. 1.348) 2 4 (2.366,-3.848) #-∞ ::…

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Q: 4 ft 6 in 1 ft 10 in 2. A baseball pitcher releases a fastball with an initial velocity vo = 90 mi/h…

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Q: Find X(Z) if X(K)=(-2)* X(Z) = EX(K)Z-k K=1,3,5,7 This means that its value is an odd number

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Q: find X(Z) if X (K) = (₂₁) K X(Z) = { X(K) Z-k k=0 K=13,5

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Q: The system of equations: -10x1 + 2x2 + x3 + x4 = -3 2x110x2 + x3 + x4 = -15 x1 + x2 10x3 + 2x4 = -27…

A: The Gauss-Jacobi method is an iterative method that can be used to approximate the solution of a…

Problems on Turing Machines

In the computational world, the Turing machine is a powerful computation engine. The invention of the Turing Machine is done by Alan Turing in 1936. A Turing Machine (TM) is a diagrammatic model of a fictional computer. It determines an output from a set of input variables using a pre-defined set of rules. It is used to get around the limitations of finite automata and pushdown automata.