A tower that is 30 m tall casts a shadow 75 m long. Find the angle of elevation of the sun.

Q: 14. If R is a ring, then show that R/(OR) = R

A: Introduction: The quotient ring or a factor ring is an important ring in the theory of ring. For a…

Q: Find the Fourier Transform of Sel2t -1<t<1 f(t) = {e1²t 0 elsewhere

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Q: let FC k be a Galois extension with Gal

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Q: Decide whether the following series converges or diverges. Explain your reasons clearly. (a) 8 1 Σ…

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Q: Please don't post this question on google 10 Given the polar equation r = 5-2 sin 8 a. find the…

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Q: -1 0 0 -1 0 1 -1 2 0 -1 2 -1 0 0 -1 2

A: Solution:- Given matrix is -

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler or Runge-Kutta method, what is…

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Q: ound all answers to 2 decimal places. a) [ ²³3 3x dx = b) Let f(x) be the linear function so that…

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Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

Q: t(0-28 m/s) t(400m) Images Candidate Car model (s) (s) (s) 1 1994 Ford SVT Boss Mustang 10.0L…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Find the volume of the tetrahedr my+nz = C nz+lx=0 Ix+my=0) x+my+na

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Q: Show that the function f(x)= √(x) = { -1 when xw0 when x=0 is discontinuous at x = 0.

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Q: 7. Check that a=2" +1 is a solution to the recurrence relation an -2-1-1 with a₁ = 3. n

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Q: Find a Möbius transformation which maps the region outside the unit circle onto the left- half…

A: We have to find a Mo¨bius transformation which maps the region outside the unit circle onto the…

Q: 31-40. Suppose that a day's production of 850 manufactured parts contains 50 parts that do not…

A: Solution:- 1)probability that first part is conforming =800/850 ( as there are 800 conforming part…

Q: Explain why the following equation is true in Z7 1 1+ = -1. 3

A: Kindly note that there is only one brown page visible in your question post and it has only one…

Q: n+1 2n + 1 5+8n² (b) t = 2-7n² (c) t₁ = (-1)" (1₂2) n+2) (a) t₁ =

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Q: (e²t - e-2) ² 1 + S- 4 S Option 3 None of the choices 1 2 S 4 Option 2 S 1 s+4 1 s+4 32 s(s² - 16)…

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Q: f(t) = {b 0<t<3 otherwise

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Q: 4. Six different groups of children would like to visit the zoo and feed different animals. (Assume…

A: Given: Six different groups of children would like to visit the zoo and feed different animals.…

Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method ith h=0.1, the k3 in the…

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Q: Solve the following system using the Newton-Raphson method for one iteration, given that…

A: We will use the Newton Raphson method of dual variable to solve the given system…

Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 an empty set.

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Q: Example 9.6 A square of 6 ft sides is to be subdivided into three equal parts by two straight lines…

A: Given figure is  where parallel lines EF and GH divides the square ABCD in three equal parts. Let…

Q: a.) S₁ (1.2 x ³ + 0.30 x². 2) dix bị) Sỉ (1-2 ex 2.5) xdx 1 Solve the following using excel…

A: As per policy we are allowed to answer only one question at a time. So , I am answering the first…

Q: Directions: Assuming that the angles are in standard position. Determine whether the given pairs of…

A: First thing needed to understand what does mean by coterminal angle? In simple words a given pairs…

Q: variable circle through the origin and touching the hyperbola xy = c

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Q: Example 9.6 A square of 6 ft sides is to be subdivided into three equal parts by two straight lines…

A: A square of 6 ft side is divided into three equal parts by two straight lines parallel to diagonal…

Q: -a+b+c b The linear transformation L: R4 → R³ is given as L (0)-[] b с 2a-b a. Determine the matrix…

A: (a) If Tx=Ax, then A is called matrix of linear transformation. (b) λ is called eigen value of a…

Q: Test the convergence of the following: 3n+1 1- an 3n-1 Σ(meth) In e² + n=1 2- = n+1

A: Note :-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 3- 4- 2X 2X e dy dy + 2 (y e-x) dx === Sinx dy + + cosxy = tan x dx

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Q: sketch the surface 2² 16 11 -1

A: Given:x29+y24-z216 = -1

Q: 2.) - 5y = e-³t sin(4t); y (0)=3, y' (0) = 10 dt

A: Some Laplace formulas

Q: Let there be two lines L, and L, inclined at a small angle 60 to one another, such that their…

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Q: If the L[ e atsin2t] = a/( s² + bs + 74), determine the value of b.

A: Solution

Q: 3 Só ( x + ²/1 ) ³ ax dx X

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Q: 10 5-2 sin a. find the eccentricity and identify the type of conic; b. write an equation of the…

A: given curves r=105-2sinθ (A) find the eccentricity and identify the type of conic. curve can be…

Q: Solve the following system using the Newton-Raphson method for one :iteration, given that…

A: Solution

Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with -0.1, find the relative error…

A: We can solve this using runge kutta method and relative error

Q: Assumed a source produces only two digits ("1" and "0") with probabilities of 0.6 and 0.4,…

A: (1) For the given question we can directly apply the binomial theorem and get, Binomial:  P(X =…

Q: Find the Laplace Transform F(s) of: f(t)=te-ktsin(t)

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Q: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

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Q: WHAT is this type of circuit or graph a. Hamiltonian circuit b.Euler path c.Hamiltonian path d.Euler…

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5) ? X 1.2 1.7 1.5 0.4055…

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Q: 1. The lateral area of a right cylindrical tank is 487 m² and its volume is 727 m³. Find the…

A: (1) Lateral surface of a cylinder with height h and base radius r is  S=2πrh Volume of the same…

Q: Suppose n is odd. Find the cube of n and divide it by 4. What possible remainders could occur? Check…

A: Solution

Q: Let R be the set of real numbers equipped with the standard topology. Let A and B be two subsets of…

A: Solution:-

Q: Find the Laplace transform of - a. f(t) = [1 − u₂π(t)](2 sin t — sin 2t) t², -8 + 3t, b. g(t) = -…

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Q: 0 1 0 0 1 10101 (d) Consider the graph G with an adjacency matrix A = 0 1 0 20 0 0 201 1 1 0 1 0/…

A: We have A=0100110101010200020111010 Let the vertices be a,b,c,d,e Then:               a  b  c   d…

Q: Let B = Qn (0, 1) be a subset of R. Consider a function f: N→ B defined by f(n) = an, where an = 1-n…

A: Given B=ℚ∩0,1 a function f:ℕ→B defined by  fn=an where an=1-nn+1