1. f(x) = tanx -x-1; [1, 1.5]; 30 iterations; Regula Falsi Method 2. f(x) = cos x-xe*; [-5, -3.5]; 15 iterations; Bisection Method

Q: A quadratic function has the formula f(x)=Ax^2 + B.s. + C. f(1)=21,f(2)=35 and f(-1)=11 find A B and…

A: Consider the given quadratic function, fx=Ax2+Bx+C such that f1=21, f2=35, and f-1=11. Make the…

Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

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Q: Which of the following graph is Hamiltonian? Ga OA) G1 O B) G1, G2 OC) G3, G4 OD) G4 Gt G₂ G4

A: Let us solve the problem in the next step.

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

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Q: 3. Consider the Initial value problem ry' = y + r ln(r); y (1) = 2 (a) Estimate y(1.5) using Euler's…

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Q: Use the method for solving homogeneous equations to solve the following differential equation. 3(x²…

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Q: s{3 – 9t* + 8sin(2t) + tel} 2. 7 2-¹ { / +(6+²1²5 - 11/12 + 3-2 3s s²+49 :}

A: 1. L3-9t2+8sin2t+t5e3t 2. L-19s4+7s+15-11s-2+3ss2+49

Q: For which k is the residual term when q (x) = x17 -kx15 + (k-2)x10 + 2x + k2-2 is divided by x-1…

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Q: ln y to solve the differential equation (xy + 2xy ln² y + y ln y)dx + (2x² In y + x)dy = 0. (b) Use…

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Q: 4. At which points does the function f have absolute maximum or minimum, or local maximum or…

A: Sol:- From the Above graph , it is clear that ,

Q: (d) Solve the differential equation given that y(0) = 1. (ex + y)dx +(2+x+ye³)dy = 0,

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Q: use the disk / washer method to find the volume of the solid. ya = = 2x, Xx= 2y, about the y-axis.…

A: (1)

Q: dx + 2x dy = 2x³y² dy

A: given differential equation dx+2xdyy=2x2y2dy which can be written as  dxdy+2x1y=2x2y2

Q: Consider the function f(x,y) = [x² + y² if x # (0,0) if x = (0,0) 0 Evaluate f(x, y) over the…

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Q: Try this: Solve the following DE. 1. (x-3y + 2)dx + 3(x+3y-4)dy = 0 2. (2x+3y-5)dx + (3x-y-2)dy = 0…

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Q: 0.9T Using Simpson's rule, evaluate 0.⁹ sin (x) taking h = 0.1?

A: We know that Simpson's rule ,  fx ≈ h3fx0 + 4fx1 + 2fx2 + 4fx3 + ........+ 2fxn-2 + 4fxn-1 + fxn We…

Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

A: We will find region bounded by all constraints and then use corner point method to find where z is…

Q: Topology let X be a let discrete Space ACX. Find (i) int (A) (ii) ext (A) (iii) boundry of A and…

A: Given :  X be any discrete topological space and  A⊂X. To find :  (i) int(A)               (ii)…

Q: Q1) Given the equations: 10x1 +2x2x3 = 27 -3xl-5x2+2x3 =-61.5 x1 + x2 +6x3 = -21.5 (a) Solve by…

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Q: Using Fermat's little theorem, find the solutions of the following linear congruences. a) 7x ≡ 12…

A: Fermat's theorem :  Let p be prime number such that gcd(a,p)=1 then ap-1≡1(mod p) Using Fermat's…

Q: 14. Evaluate this cubic polynomial for x = 1.32, using both rounding and chopping to three digits at…

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Q: Suppose that the characteristic polynomial of a matrix A is p(A) = A(A² − 6A + 9). A will have…

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Q: where D C 0 find amatrix 2 Irand d I is identity 3 -1 1

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Q: Given is the amount M = {x R³ | x² + 9x ≤25, x3 = 0}. Tick all that apply: M is complete/closed. yes…

A: Since M contains all the points inside as well as on the boundary. Thus M is complete.

Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

A:

Q: Consider a system of linear equations Ar=b that A is nxn. in n unknowns with augmented matrix (4|6).…

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Q: Describe all the elements in the cyclic subgroup of generated by the 2×2 matrix     [1  1 0  1]

A: Describe the elements in the subgroup of the General linear group GLn, ℝ generated by the 2×2…

Q: 10. x 유 3 4 X, x, x(0) = (2 ; see Problem 2.

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Q: skla 8. What is the value of Fourier discrete function & [k] at k = 1?

A: To determine: The value of the Fourier discrete function δk at k=1.

Q: The function f(x) = 2 * sin(x) − e/4 - 1 is zero for two values near x = -5. Use bisection to find…

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Q: Part A These following predicates, objects, and relations are for question 1, 2, and 3: P(x) :x is a…

A: Given that            To find: the predicate logic of the given sentence.

Q: Q.3) Find the constants a, b, c, d, e if f(z) = (ax³ + bxy² + 3x² + cy² + x) + i(dx²y - 2y³ +exy +…

A: Given :  f(z) = ax3+bxy2+3x2+cy2+x + idx2y-2y3+exy+y  is analytic. To find : The constants a, b, c,…

Q: Q1:A/ The Office Supplies Company offers two types of pens, the first type has high specifications,…

A: Since you have posted a multiple question according to guildlines I will solve first question(Q1.A)…

Q: Y = 5-xx Find the area under the curve from x= 1.0 to using SimpsoN's 3/8 RULE. USE A SPACING OF…

A: Simpson's 38 rule: ∫abydx=3h8(y0+2(y3+y6+...+yn-3)+3(y1+y2+y4+y5+...+yn-2+yn-1)+yn), where h=b-aN…

Q: 2x Find the lower sum for f(x) = 2 - on the interval [-5, -1] using 4 rectangles. 5 10 then enter…

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Q: Pusing Newton's approoch combined with Horner method find an approximation for groot in interval 3.…

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Q: Sketch the curve. O 68°F r = 2 - 2 sin(0) -2 -3 1 y 1 2 1 1 XX 2 O EZ 1 2 3 3 X -2

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Q: A: Find the solution to the following linear programming problem using the simplex method Max…

A: Given Linear programming problem is Max  Z =50 x1 +60 x2subject to:2x1 +x2 ≤3003x1 +4x2 ≤5094x1 +7x2…

Q: 4. At which points does the function f have absolute maximum or minimum, or local maximum or…

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Q: Consider the given function k (x) = x² + 12x+35 (a) Write the function in vertex form. (b) Identify…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Problem 2.2. Consider the ODE u(t)= u(t), 0 < t < 1; u(0) = 1. Compute its Galerkin approximation in…

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Q: rove by induction that Σr(2-3r)=(n+1)(1-2n) r=1 VnEN

A: ∑r=1nr(2-3r)=n2(n+1)(1-2n) ∀n∈ℕ We have to prove by mathematical induction

Q: 5. Find the orthogonal complement of matrix M given below. -4 M = -3 05 1 3 2

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Q: XYZ is a triangle and YA←→∥XZ←→YA↔∥XZ↔. Prove that the interior angles of a triangle sum to 180180…

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Q: Question 2 a) [ ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere,…

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Q: Solve the matrix equation for y. [1 2 -3] [12 31-² 2 6 3 12 x 0-1/1/20 O O There is no correct…

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Q: Find the centroid of the plane area bounded by the parabola y = 6x - x² and the line y = x

A: To Find: The centroid of the plane area bounded by the parabola y=6x-x2 and the line y=x

Q: 1. (a) Estimate the volume of the solid that lies below the surface z = xy and above the rectangle R…

A: To find-  Estimate the volume of the solid that lies below the surface z = xy and above the…

Q: Determine the constants a and b so that x = -1 is a zero point to q (x) = x5-3bx3 + ax2-ax + b with…

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Q: A)Find volume of body from above Z = 4-x² - y² and below Z = 1 inside y = x, and y=x². B)Solve the…

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