Sketch the graph of the function f(x)= H

Q: 11. Given vector u = (2, a, 3), vector v = (1, -3, b) and u x v = (13, -5, -7). Find a and b.

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Q: 12 Question If the percentage rate of growth of time series data is stable, then time series has: 1.…

A: Solution:- If the percentage rate of growth of time series data is stable, then time series has-:…

Q: Let K denote the algebraic closure of Fp P

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Q: 3. Prove that if p is a prime >3 then the numerator of 1 + 1/2+1/3+...+V/(p-1) is divisible by…

A: Given: Let us consider the given, r=1+12+13+...+1p-1

Q: Calculate the points of intersection of the curves x² = 4y and bn=) = y 29vaus at newed biloa gris 1…

A: Centroid: The centroid or centre of mass of a region bounded by the curves is the point where the…

Q: I. Fill in the blank. 1. The translation of Newton's Law into mathematical form is written as

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the 5th right Riemann sums of function f(x) = 5x+7 on (0,5) Blank 1 with respect to a regular…

A: The right Riemann sum uses the right endpoint of the subintervals to approximate a definite integral…

Q: X 1 4 7 9 11 f(x) 12 -23 -15 33 -13

A: The given set of data is                           x f(x) 1 12 4 -23 7 -15 9 33 11 -13…

Q: The number of flaws in metal sheets 100 cm by 150 cm is known to follow

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Q: O. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

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Q: 16 Tandem Cycling Triplets Peter, Reeta and Nikita have two ways for getting home from school each…

A: since you have asked a question with multiple sub parts, we will solve the first three subparts for…

Q: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

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Q: (20pts) For the function f(x, y) = -xy2, find the solution from x = 0 to x = 1 with an increment of…

A: Solution: Given , y′=-xy2y(0)=1h=0.2 Forth order R-K method 1st iteration :…

Q: 1) 0.7 Estimate f(x) dx, 0 from the graph of f. Use the Trapezoid Rule. a) 2 b) 2.25 c) O 22.5 d)…

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Q: 5. (D³ - 2D+4)y=0; y = -2, Dy= 8, D²y = 0, when x = 0

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Q: Numerical Differentiation: f(x) = sin x - x³ + 1 2. Find f(3.1) and step size h = 0.5 and 0.25

A: We know the forward differentiation formula is given by, f'(x) = {f(x+h) - f(x)}/h. Now, we will use…

Q: Q.10. Let [a, b] be an interval of R. Let f:[a,b]→R be a function such that f is M-times…

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Q: 5. Let R be the relation on the set {1, 2, 3, 4, 5} containing the ordered pairs (1, 1), (1, 2), (1,…

A: Let R be the relation on the set 1 , 2 , 3 , 4 , 5 containing the ordered pairs  1 , 1 , 1 , 2 , 1 ,…

Q: Show all the necessary figures and solutions to each of the following problems. 1+x² 1. Find the…

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Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: 4. Using Laplace transform methods, solve for t≥ 0 the following simultaneous differential equation…

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Q: Stokes' theorem states that [[ (V x F) - ds = f F. dr. Verify Stokes' theorem by calculating both…

A: We will find both sides of integral and compare there values

Q: Let f be a mapping from [2, +∞[to, +∞[defined by: 3 f(x) = x + = x f is a homeomorphism but it is…

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Q: Solve the following game for optimal strategy based on dominance property and algebraic method: B₁1…

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Q: (0,4) C R (-2,0) (-1,0) (1,3) (c) Use the WASHER METHOD to set up a (sum of) definite integral(s)…

A: Divides the region into two subregions.

Q: Numerical Differentiation: f(x) = ex 1. COS X 2 Find f(1.5) and step size of h=0.75 and 0.1

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Q: 3. Using the Gauss-Seidel method make three iterations for the linear system x(0) = 0, 4x - y -z =…

A: Solution :-

Q: Let W be the subspace of R4 spanned by {u₁ = (1, 1, 1, 1), u2 = (2, 4, 1, 5), u3 (2, 0, 4,0)). Using…

A: The solution is given as

Q: use Newton’s Method to find all the roots of the given equation accurate to six decimal places.

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Q: Let Xn, Yn be any two sequences. If XnL, YnM, then Xn YnL M

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Q: Find the solution. (D³ + 6D² + 11D + 6)y = 0 -2x Av=ce-tre-te +c -3x By=c₁e*+c₂ C + czte © y =…

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Q: C64220 4) Find the volume of the solid whose base is the triangular region with vertices (0, 0), (0,…

A: We will find cross sectional area and then use integral to find volume

Q: theormo- Let (Ft) is a field and f(x) EF(x) then the ideal ismaximals ideal iff fex) is an…

A: Let , F , + , ·  be Field. Given that  , fx ∈ Fx. Let , f(x) is maximal ideal. We need to show that…

Q: (u)n zu = (u)x

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Q: For the function f(x, y) = 4x³ + x² − 7, find the solution of the differential equation from x = 0…

A: Given : function fx, y=4x3+53x2-7 To find : solution of the differential equation from x=0 to x=3…

Q: Solve the following differential equations using this method First - In both M(x,y)=0 and N(x,y)=0…

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Q: 1 -4 7 1 3 -7 sin30 cos20 -2 = 0

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Q: A family decide to save some money in an account that pays 9% annual compound interest calculated at…

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Q: 1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the…

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Q: f(t) = 1, 0≤t≤ 0, <1<T f(t+T)= f(t), t≥ 0. T72 - T 3T/2 - 2T

A: This is a problem of Laplace Transform.

Q: Consider the constrained optimization problem: min f(x), subject to ||||₁ ≤ 1. We apply a projected…

A: As per the question we are given an optimization problem which is to be solved using the projected…

Q: at is the force on

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Q: ts] Consider the series [a, - ² Σα-Στ = 2" 3" +1 (a) Show that the series a, converges by comparing…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: The ellipse with the given equation is centered at x² +9y² + 3x - 18y + 9 = 0 3 9 (²/₁₁) (²17,¹1) 2…

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Q: If Hof(x); p) = F(p), then Milaihaq Holf(x-a) H(x-a); pl = [q ni=-00 of faqesh diw. (ii) yiliga nall

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Q: 2. Find the inverse Laplace transform of the following function: 2s² +5s-6 s³ - 3s² -13s +15 S

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Q: II. Solve the following problems. Enclose final answer. 7.Find 2 of z = 2x³-5xy² xy

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Q: Find 3²y of z = In(xy)

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Q: N 2 (2-1) (2-0.5)

A: The detailed step is given below. We do the partial fraction by first subtracting adding "1" in the…