Q4) Prove that dx 1+ 2 sinx || In √3 Χ tan tan x + 2 -√√3 +2 + √√3

Q: 2. Let f I→ R be Riemann integrable on I = [a, b], a, b = R, a <b, and let F be an an- tiderivative…

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Q: (b) Find for what value of the equation 12x²+36xy + y² + 6x + 6y + 3 = 0 represents a pair of…

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Q: 7. The coin is tossed twice. Which of the following is the correct representation of the sample…

A: ans 7  (a) {HH, HT,TH,TT} Ans 8 (d)   36 (6 into 6)

Q: To find how much heat is required to bring a kettle of water to its boiling point, you are asked to…

A: See below Lagrange interpolation method.

Q: Find and classify the critical poruts g a te functions f(x,y) = exsing f(x, y) = excosy

A: 1 Given function is fx,y=exsiny. We have to find the critical point of fx,y. Differentiate…

Q: By direct partial integration, Solve the following PDES 8- U (π, y) = 2 cosy 8²u axdy = CBX Cosy…

A: Solution :

Q: Find the line integral along the given path C. f(x-y)d: - y)dx, where C: x=t, y=3t+8, for 0sts6…

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Q: 3 By direct partial integration, Solve the following PDES 8- J 8²u axdy 2 = cosx cosy, x4(X₂ #) =X U…

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Q: 5 By separation of variables, Solve the following PDES :: ²4 ²4 dt² dx² 0 o , u(e,t) = u(5,t) =6…

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Q: coordinates with dV= r dz d 4-(x2 + y2). Draw the solid

A: Using the volume of cylinder and the solid is given as,

Q: 5. Solve x sin x = 1 using the following: (a) MOSS (root = 0.5) (b) Newton Raphson (root = 0.5) (c)…

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Q: B 1m

A: Co-ordinate of the point A ~ (5 , 0 , 0) C~ (0 , 1 , 3) B ~ (0 , -1 , 2) Unit vector in the…

Q: A. Direction. Write the characteristics of inductive and deductive reasoning by completing the Venn…

A: A. Inductive reasoning:- Inductictive reasoning is a bottom up approach. It takes us from specific…

Q: If 4 peaches cost $1.10 what will 6 peaches cost

A: Given, 4 peaches cost = $ 1.10 1 peache cost = $ 1.10/4                            = $ 0.275 Now, 6…

Q: By Separation of variables, Solve the follow PDES :- ²4 d²4 dt² =43 2 dx² •o u(e,t) = u(s, t) =6…

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Q: 1. 5) The differential equation dy 2 d²y x² dx² 7x- +16y=0 da has x4 as a solution. Applying…

A: We are given second order linear homogeneous differential equation with variable coefficients which…

Q: You need to schedule a chess tournament for 200 students in a junior high school. How many games…

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Q: 10. Write and simplify the integral that gives the arc length of the curve y = x³ +500 for -1 ≤ x ≤…

A: Consider the equation of the curve, y=x3+500 for -1≤x≤2. the arc length is defined by the formula,…

Q: Matrix Representation of a Linear Mapping Consider the operator TE L(R²) (recall that an operator is…

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Q: 16. Measurement Given the perimeter, P, and the lengths of two sides of the triangle, find the…

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Q: x - 1 5 = y - 2 3 Z - 2 1 2xy +z = 10

A: To find the solution of a system of equation is the values of the unknown for which the system of…

Q: (E-₂) = given the linear transformation T: R³ → R² where T 7 (EFD)-6) and + (ED-C¹₂) a. If it is…

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Q: 6 By Separation of variables, Solve the following 5 PDES :- d²4 d24 dx² 0 o u(e,t) = u(s, t) =6…

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Q: R. Map A A= {(8, 13), (8, 9), (9,8), (9, 11 ), ( 11, 8), ( 11, 9), (13, 8), (13, 14), ( 14, 16), (…

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Q: Obtain frequency response of the following system. Compute inverse Fourier transform of the…

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Q: F2. Find B A = { f(x) = 1 A={10, 9, 7, 0, -7} f(x) = x² +6 A f B = {} B

A: Solution :

Q: 3 By direct partial integration, Solve the following PDES & 82u axdy = cos x cosy, u(x,#) = x…

A: Solution :

Q: b.S) suppose a pendulum with length L (meters) has angle (radians) from the vertical. It can be…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Draw a direction field for the given differential equation. Based on the direction field, determine…

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Q: = 1. Use a local linear approximation of the function f(x) = ln(x + sinh(x) + cosh(x)) at some point…

A: Since the required point is 0.001 near to 0, so we approximate linearly about x=0, also at this…

Q: Check the stability of the following system using the given Lyapunov function? 0+0+Sin e-…

A: see my solution below

Q: Find the general Solution of the following PDES -X • з Их + 2 Иу =0 U (x,0) = = 4 é 2 (3y-2x)/2 ans…

A: The given PDE is                        3ux+2uy=0, u(x,0)=4e-x To solve this PDE we shall use the…

Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution 2x + 1…

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Q: 32. Model With Mathematics In order to take a panoramic photograph, a camera must have a hyperbolic…

A: From given data we can conclude that, By Standard equation of hyperbola :y2a2-x2b2=1

Q: The height, h, in centimetres, of a piston moving up and down in an engine cylinder can be modelled…

A: The main objective is to find the minimum height and period of h(t).

Q: Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x² and the…

A: To find the volume of double integral that is bounded between z=1−2y2−3x2 and xy-plane.

Q: Solve the following differential equations, giving y in terms of x. dy (ii) (x + 1)- - (x + 1)5 =…

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Q: 14. Find the cube root of 15 correct to four significant digits by Fixed-Point and Secant methods.…

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Q: - x, then answer the following ( (1) Find the function's domain (2) Find the function's range. (3)…

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

Q: 3. Integrate f 10(x+6) x² + 3x-10 2 dx by using partial fraction.

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Q: Consider the following Gauss-Jordan reduction: 0 10 07 0 0 FEC 56 70 →> 810 = 1 00 100 0 01 001 0 1…

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Q: 5. Show that the following two matrices are not similar! (use similarity invariant table) ГО О 11 A…

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Q: 3 By direct partial integration, Solve the following PDES 8- Xx²z 5 4 4 JZ = 0, Z(X₂0) = x² + x, Z…

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Q: 4.S) spring with a spring constant k of 20 pounds per foot is loaded with a 10-pound weight and…

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Q: What is the negation of the proposition/statement: 10 > 14 ?   10 < 14   10 ≥ 14   10 ≤ 14   10…

A: Given, proposition/statement is 10 &gt; 14  We have to find negation of the given…

Q: ç hange the order of integration of the iterated double integral: So L dx dy. 1/3 +1 show the region…

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Q: 1. Start with an unknown number. Triple it and then subtract 5. Now, take the new number and double…

A: Let the unknown number be x. We have to triple it and subtract 5 from it . This is 3x-5. Take this…

Q: 6 By Separation of variables, Solve the following 5 PDES :- d²4 d24 dx² 0 o u(e,t) = u(s, t) =6…

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Q: A right circular cylinder is inscribed cylinder is inscribed in a right circular cone of radius r.…

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Q: classify the following PDES :- 227 дх2 -2 822 буду +2 82 дуг =X+3y 2 2 X ох Ихх - 2ху Иху +у Иуу e

A: