Find the amplitude, period and the phase shift of the function y = 4sin (2x-π) amplitude = 4 period = 27 phase shift = n/2 amplitude = 4 period = n phase shift = n/2 amplitude = 4 period = n phasa shift - T

Q: Find the angle between the lines whose direction cosines are given by 1+m+n=0 and 2/²+2m²-n² = 0.

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Q: Let A = {-2, -1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows: For all x, y EA, x…

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Q: Let f(x) = cos (x). Prove that f is continuous on [a,b] and f has a derivative in (a,b), for all…

A: Continuity: A real-valued function fx is said to be continuous at a point x=a if for every ε>0…

Q: 8. A math teacher adopts the following function to curve her students' midterm grades: f(x) = 10√x…

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A: Following definition of orthogonal and orthonormal vectors, we find these solutions.

Q: 6. The solution to x² +bx+24 <0 is the set of all values of x such that k<x<k+2 for some real value…

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Q: 2. Define (m, n)~ (p, q) if mq = np. Is~ an equivalence relation on Z+ x Z+? Explain why or why not.

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Q: Can you please in words explain how you got the answer that you did?

A: We know a point x=x0 is called a ordinary point of the equation  y''+Pxy'+Qxy=0…

Q: Find the isogonal trajectories cutting at an angle of arctan 4 to the family of curves y = Inx + C.

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Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

A: Water is filled with a constant rate of 65 cubic centimeters per second The top of the pyramid is…

Q: Consider the function of two variables - ƒ(x,y) = x³ − 6xy + y³ (a) Find all the critical points of…

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Q: et p (> 0) be the first of the n arithmetic mean numbers and q (> 0) the first of n harmonic mean

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Q: Question 13 The dimension of the column space of a 3x5 matrix can be 4. True False Question 14

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Q: Determine {F}. F(s) = 7s³ - 15s² - 9s +27 3 3 s³ S (s - 3)

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Q: 4. For the cylinder with patch (a) Find the normal vector U. (b) The Gauss X(u, v) = (R cos u, R sin…

A: Since you have posted a question with multiple sub-parts, we will solve the first two subparts for…

Q: 21. Find the number of edges in a graph that has 4 vertices each of degree 2. Hint: use the sum of…

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Q: 6. Consider the vector field defined by F = ( 1² ) ² + ( 3,³² m (2). X 2 2√y (a) Use the component…

A: Since F is not conservative so we can not solve the part b and c.

Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

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Q: (c + m) +d = ( 0 + m) x 1.25 m = ?

A: To find formula for m,  we have to rearrange the terms.

Q: Question 28 5 If the determinant of a square matrix is -1, then A must be an orthogonal matrix. True…

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Q: Let measurable show that be the sub-set class of of R, then Sigma Algebra.

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Q: K Sketch the graph and show all extrema, inflection points, and asymptotes where applicable. 1 3…

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Q: Show that points A(2, 3, 5), B(6, 1, 6) and C(14, -3, 8) are collinear.

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Q: Consider the following system. λ = dy dt Find the eigenvalues of the coefficient matrix A(t). (Enter…

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Q: 0 If the dimension of the eigenspace associated with a is equal to A has a least two distinct…

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Q: 13. Is the sequence {a} a solution of the recurrence relation an = 8an-1-16a₁-2 if a) a₁ = 0? c) a₁…

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Q: Find the values of p so that line 1-x_7y-14 z-3 = 2p 2 3 and 7-7x_y-5_ = 3p y75 = 6 1 -5 6-z 5 are…

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Q: (18) LIVE In Problems 37-46, use the Laplace transform to solve the given integral equation or…

A: Laplace transform is used

Q: E. Direction: Analyze the Venn diagram below and find the complements of each set. 3. Let W =…

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Q: How long can a path be in the complete bipartite graph k(m,n)?

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Q: Consider the following initial-value problem. 6 9 X' x'-(- ₁2)x, x(0)-(-7) -(-₁ X, = = -1 12 Find…

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Q: A manager wants to determine the number of kanbans to use in a new process for a part. The process…

A: Use the formula N=DT1+XC N is the number of kanbans, D is the usage of rate, T is the average time…

Q: 8. Using cylindrical coordinates, find 0≤x≤ 2. W with dv, with y²dV, a a region W given by x² + y² ≤…

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Q: Show that x(t) = (1+t, 1-7²) is a Solution x = 1 4°=2-x and draw the Phase Portiert

A: This is an System of DE question.

Q: Solve the following differential equation: 2ty' + y = 5t², y(1) = 2

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Q: 1 If g(x) = [** sec(t³) dt, then g'(x) = x O-3x² sec(x³) – sec(x³) — sec(1) tan(1) + sec(x³) tan(x³)…

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Q: 9. For the linear operator LA R³ R³ defined by L₁(x) = Ax, for x column vectors in : R³, and 0 1 0 0…

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Q: 3. Let f(x, y) = zsin ry. Find: (a) f(x, y) (b) f(x,y) (c) Syy(x, y) (d) fyz(x, y)

A: Given function is f(x, y) = x sin(xy)

Q: then: -4 1 0 1 0 0 1 -4 1 0 1 0 ⇒ Au = 114000 -4 B. 1 0 0 1 0 0 0 1 -4 1 0 1 -4 1 0 1 -4 ru2,27 U3,2…

A: The given system is:…

Q: If a = (z-i)/(z+ i), show that, when z lies above the real axis, a will lie within the unit circle…

A: We will find find z in standard form by taking α in standard form i.e. α= x+iy  . Then will apply…

Q: d. 25 +3 52+5+1 b. उ 3 5°4 25 +bs

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Q: FIND THE VALUE OF MATRIC C iF C=AB A = 2 1 8 2 3 3 6 4 4 ليا 3 B = "G9 4 3 7 S ہ

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Q: Let/(x)=sin³x+A sin²x =<x<- Find the 2 2 which & should lies in order that has exactly

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Q: Determine whether the graph is a tree. Must give a justification, that is provide the definition of…

A: The definition of a tree is given below.

Q: The magnetic field B due to a small current loop (which we place at the origin) is called a magnetic…

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Q: Question 1. The function f(t) is defined as follows f(t)=-4-2t+t²,0 < t < 5. Define f (t), an even…

A: The given problem is to find the even periodic extension of the given periodic function and find the…

Q: A line makes angles a, ß, y and with the diagonals of a cube cos²a + cos² B+ cos² y + cos²8= 4/3.

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Q: The Science club is selecting its representative for a competition. The members rank the 4…

A: Given : Representation of votes of 4 candidates, namely, Anton, Berlin, Charles and Dianne.   To…

Q: 3. Express the generating function of the sequence (c) in closed form where ç = (r + 1) - 3¹+¹ .…

A: Given Data: Let us consider the given data, cr = r + 1·3r + 1·r + 2 To find : The generating…

Q: j) Σ n=1 log n 3 η2

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