3 19.

Q: show that another form of Euler-Lagrange equation is fy-fy¹x fytyy! - fyyry"

A: To prove that another form of the Euler-Lagrange equation is…

Q: Sketch the graph of the solution set to the following system of inequalities. y>x-5 y<-x-2 Use the…

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Q: 7. Consider a line in 2-dim space y = ax + b and a given point (ro. 30) not on the line. Please…

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Q: -n=2 1 n(Inn)2

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Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists). (If an answer…

A: The given matrix is    2   0   3   1-1   2-1   0-2 We have to find the inverse of the given matrix…

Q: n=2 (Inn)² n³ 3

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Q: 8.33. State whether the following conclusions are true or false: a. NOT (P(x) OR Q(x)) → (NOT (P(x))…

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Q: You solve a second order linear differential equation with constant coefficients and find its…

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Q: Round off to 3 decimal place The 3x3 system below has solutions x₁ = 1, X₂=-2 and X3=0 4x+2X₂-2x3 =…

A: (ii) asked and answered.

Q: Find the critical point of the function f(x, y) = 5eª – 2reª.

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Q: If A = [a1, a2, a3] has as columns the three vectors a1, a2, and a3. What is y = Ax, where x is a…

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Q: A national fast food company has just analyzed the effect of the latest sales promotion. It has…

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Q: Let ƒ : R → R, x ↔ x² − 4x + 7. (a) Is f injective? If not, find the largest possible set DCR such…

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Q: 4) In each part, determine whether the integral is convergent or divergent. 5 3 D 00 √x dx b) 0 - dx…

A: Solution to the integrals.

Q: 21. Daylight in Fairbanks The viewing window below shows the number of hours of daylight in…

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Q: Comparison Theorem: Determine if the integral below is convergent or divergent by comparing a…

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Q: Compute the line integral of the scalar function ƒ(x, y, z) = 2x² + 8z over the curve c(t) =…

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Q: V= 8 +1 Use At = 0.2 to estimate the distance that the bug crawls during this hour. Use left- and…

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Q: Find the least-squares line for the given data (2,1),(3,2),(4,3),(5,2) Follow the solution format…

A: The given data 2,1, 3,2, 4,3, 5,2. We have to find the equation of least square line.

Q: Von Bertalanffy's equation states that the rate of growth in length of an individual fish is…

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Q: A lighthouse is located 40 meters off-shore. The beam of light from the lighthouse rotates at a rate…

A: We will use derivative to find speed of the beam

Q: The curves f(x, y) = x³ + y - 1 g(x, y) = y³x + 1 rsect near the point (x1, 9₁). Using the point…

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Q: . Consider the following algorithm: Input: A positive integer n. (1) Set k = 0. (2) If 2>n, stop.…

A: The given algorithm is: Input: A positive integer n: (1) Set k=0, (2) 2k≥n, stop Otherwise go to…

Q: 5) Fourier transform of the triangular pulse in the following figure is given as G(f) = 1 (2) [ej²nf…

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Q: ound off to one decimal place where applicable The table time (xi)                    1 2 3 4 5 6…

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Q: WRITE THE EQUATION OF THE LINE FOR QUESTIONS 15 - 17 USING THE GIVEN INFORMATION BELOW. WRITE ANSWER…

A: We have to find the line equation in y-intercept form from given data.

Q: Experiment 2: 2A. Slide the large circle on the parabola so the small circle on the x-axis is at x =…

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Q: What is the shortest distance from the surface xy + 6x + z² = 41 to the origin? distance =

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Q: 6. Let f: RR be defined by f(x) = 2x-1. Determine whether f(x) is onto and/or 1 to 1. Explain your…

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Q: 16. Construct (draw) a circuit to represent the corresponding symbolic statement. (pVg)^~p

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Q: Find the general solution of the following differential equations: 3. dy dx = X (x²y+y³)

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Q: Graph the solution set of the following nonlinear system of inequalities. x² + y² ≥ 36 x² + y² ≤81…

A: We have to draw

Q: d) x¹+1=0 e) x¹-i=0 f) x¹-(4+4i√3)=0

A: Argument in polar form lies in [-π,π]

Q: Suppose that u and v are two unit vectors in 3D and the angle between them ㅠ 3* i. What is u xv|?…

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Q: 6. Consider the functions f, g: R → R defined by the formulas 1 x² + 1 f(x) = and g(x)= x + 1. Let A…

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Q: Find the general solution to the system: dx =x-4y dt dy dt = x + y

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Q: Let TV V be a linear map. Consider two distinct bases of V: B = 1, V2, V3) and C = (v₁, v2 + v3, v2…

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Q: 5. Construct a truth table to determine if the statement q^~ p is equivalent to ~p~90 1sdmun lan…

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Q: z = √√√4x² - y² and inside the circular cylinders x² + y² = 1 and x² - 2x + y² = 0.

A: The given problem is to find the volume of the solid region in the first octant bounded by the…

Q: Use the Rombery Integration technique with initial Size to the h = 0.5 So f(x) dx integral What is…

A: The function given is fx=3x+1. We are asked to approximate the integral ∫01fxdx using Romberg…

Q: Describe the transformation of the given trigonometric function. A) y = -3 sin(x + ) - 2 0000 B) y =…

A: Vertical and horizontal shifts are made here in given functions.

Q: Consider a part of a graph of a function f: R → R (see the diagram below). We restrict f to various…

A: To see that graph is injective we have to see for different numbers a and b, the values of f(a) and…

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: (a) Find a vector parametric equation for the parabola y = x² from the origin to the point (2, 4)…

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Q: Suppose a cyclic group G = with the older 12: (1). List all subgroups of G (2). List all those…

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Q: A surveyor stands some distance from a tunnel. From this point, she can see both entrances and has…

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Q: 9. Determine whether S is a basis for R³. 10. Determine whether S is a basis for P₂. S = {(0,3,0),…

A: Let V be a vector space and S be a subset of V then S is basis of V if and only if  i) S is L.I ii)…

Q: Discuss De Moivre's Theorem. Using an example, explain how the square root of a complex number can…

A: De Moivre's Theorem: The De Moivre's Theorem states that for any real number x, we have,…

Q: 1. Let p be an odd prime and g be a primitive root mod p. Show that Z = {gik : k = 1,...,p-1} if and…

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