, 300 shoppers were asked whet -mail account. Their responses a

Q: Show that the function f : R→ R : f(x) = x° is one-one and onto.

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Q: n47- AdjacencyGraph [bigGraph, VertexLabels - "Name" ) Ou= G17. Is the graph above a connected…

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Q: Simplify as much as possible. w?V24w u +40V54W° 5 Assume that all variables represent positive real…

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Q: Find the general solution of the differential equation y" + 2y' + 5y = 3 sin(2t). NOTE: Use c1 and…

A: We find the general solution of the DE y''+2y'+5y=3sin(2t)........(1)

Q: The length of a shadow of a building is 83 ft when the sun is 59° above the horizon. Find the height…

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Q: In practice, when comparing two means using small samples, when would you recommend assuming equal…

A: The complete solution is in given below

Q: 1 A triangular tent flap measures 2- feet along the base and has a height of 3 feet How much canvas…

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Q: How can you find the first derivative of the given polynomial function? What mathematical skill is…

A: Let the polynomial be pn(x)=a0+a1x+a2x2+a3x2+...+anxn Now, the first derivative of the above…

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

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Q: Suppose the position of a particle is given by parametric equations x(t) = t-3 and y(t) = 5t2. (a)…

A: All real numbers can be represented on a line called the number line. The number zero corresponds to…

Q: 1. Let a = 2i + 5j+8k and b = 2i + 6j+9k. Find (a) a unit vector in the direction of a; Answer: (b)…

A: Note: According to our guidelines we can answer only first three subparts

Q: Q2: Construct the second order Lagrange interpolation polynomial for the function f (x) = In(x + 1)…

A: To find- Construct the second order Lagrange interpolating polynomial for the function fx = lnx + 1…

Q: Find the general solution of the differential equation y" – 4y' – 21y = -47t + 42t². NOTE: Use t as…

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Q: Obtain the matrix representation of the CNOT gates given in (a) and (b). Prove the circuit identity…

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Q: (a) Suppose that a > and that the parabola with equation y = ax? +2 has vertex V. The parabola…

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Q: Learning Task 3: Analyze the given problems. Sketch the figure of the given situation. and tell…

A: (2)Given that, height  of picture h=6 m Distance of object from the observer d=5 m  let, distance…

Q: b) Solve by Gauss Jordan Elimination method only: 3x-5y =17 2x+6y=2

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Q: Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve…

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Q: If the number ordered is O, the number backordered is B, and the number shipped is S, which formula…

A: S = number of items shipped O = number of ordered items B = number of items backordered.

Q: 10. Prove that if f(x) solves a linear homogeneous differential equation with constant coef-…

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Q: udn + a ntuldr=o

A: We shall answer first question only as you have asked unrelated three different question. For others…

Q: A. If G(2) = F(z) · H(z), then G' (3): %3D B. If G(w) = F(w)/H(w), then G' (3)

A: Derivative of function at point

Q: 5. Find the fundamental set of solutions for the given differential equation: x'y" – x(x + 2) y' +…

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

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Q: 4. Evaluate S. (z - 4) dz, where r is a contour from the two line segments, the first from z = -3 to…

A: The given question is related with complex integration. We have to evaluate the integral,…

Q: Quarters are packaged in rolls of 40. Each quarter has a diameter of 2.4 cm, and is 1.5 mm thick.…

A: Introduction: A right circular cylinder is a three-dimensional figure. Its base and top is a circle…

Q: Researchers asked 250 families whether or not they were homeowners and how many cars they had. Their…

A: Number of families having two or more cars       = 95 + 85      = 180 So percentage of families…

Q: The graph below depicts a function f(x). Its two asymptotes are indicated in red: -5 -4 The graph…

A: As per our company guidelines, we are supposed to answer only the first three questions. Kindly re…

Q: 7 Prove by induction, showing all of your algebra steps: (-1) + 4 + (-9) +.….. + (-1)"n² = (-1)°n(n…

A: 7 We have to prove that −1+4+−9+....+−1nn2=−1nnn+12 by principal of induction method. First check…

Q: length of the curve y = :

A: Introduction: The formula of the trapezoidal rule is given by, ∫ydx=h2y0+yn+2(y1+y2+...+yn-1)

Q: . The following data were obtained in an experiment relating time (t) (the independent variable) to…

A: We can solve this by calculating slope by using slope formula ,

Q: a2 + 22 ch b2 +22 bc – ar са — b1 bc + ah x -c ab + ch - 6 Evaluate ab a са + 6 c2 +22 - a

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Q: Kample tetx be Let X€2Z. Prove that for cveri integer n2 , x^is cuen × is aven 2.

A: Yes, for n greater than or equal 2(n is a positive integer) if x is even then x^n will also be even.…

Q: Jenny wants to know the langth of a tunnel bult through a muntain. To de se, she makes the…

A: Given figure is

Q: Let A = {1,2,3, 4} and B= {x, y, z, w, v}. Let A¡ = {3} and let h : Aj → B be the function defined…

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Q: 1. Find all solutions to the differential equation y" + 4y' + 4y = 0 %3|

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Q: 6 6 4. -6 10 -1 23 10 0 -2 -11 3 B = -5 -11 9 -3 1. Given the matrices A = C =[-3 2 9 -5 7]. 1 -1 3…

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Q: Simplify as much as possible. 3 uV32v -4vy 50vu Assume that all variables represent positive real…

A: To simplify the given expression.

Q: Prove by simple induction that, for each integer n 2 1,

A: To prove that,               6+62+63+. . .+6n=6n+1-65;  for n≥1.

Q: Suppose the position of a particle is given by parametric equations x(t) = 4t and y(t) = 2t2-1. (a)…

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Q: Using the Venn Diagram find: A' 8. 12 1 6. 3. В 11 2 6. 4 U 10 O {3,4,5,6,8,10,12} O {3,8.10,12} O…

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Q: Here are three functions involving exponential functions: s(x) i) s(x) = 글 (e" -e") i) c(x) = } (e*…

A: Introduction: The trigonometric functions are also differentiable over their principle domain. The…

Q: Find the value of

A: Introduction: The determinant can be thought of as a function with a square matrix as its input and…

Q: Exercise 3.13. Letf:A B be a one-to-one correspohde also a one-to-one correspondence. 1. Prove that…

A: Introduction: A function is referred to as one-to-one correspondence if it is both one-one and onto.…

Q: 1.27 Find the coefficients a, b, and c so that the graph of f(x) = ax? + bx +c passes through the…

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Q: 12 + 22 + ...+ n² = n(n+1)(2n + 1) 6

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Q: + Gx (V x F) i.e. V · (F × G) =G (V × F) – F (Vx G) (5) div (F x G) = G (curl F) – F (curl G) (6)…

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Q: Use the vertical line test to determine whether the curve is a function. Xmin = -10 Ymin = -100 Xmax…

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Q: Find the differential equation of (y cos x + 2xe^y )dx + (sin x + x²e^y) dy =0

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Q: QI: Use the Jacobi method to find four iterations of the following system of linear equations 5x, -…

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