Ofind an upPer bound for the reciprocaL of the modulus of ż"-52+6 if 121=2 2Itint: z" -52²+6= (2? 3)(2?2)]

Q: Problem No.1 Let A= 1 -2 3| and B= 1 3 Find AB and BA -4 2 5 -1 2 4

A:

Q: Use Stokes' Theorem to calculate fe F-dĩ, where F = zyi+3=j+5zk, and C is the closed path around a…

A: Here given that F→=xy i^+3z j^+5x k^ and curve C in xz-plane. To find: ∫C F→·dr→ by Stokes' theorem.

Q: / y = = V3y = 1 y = 1-1 (z – 2)² + y² = 4 -4 cos e (a) r dr de sin 8+cos e 4 cose (b) r dr do sin +…

A: To find the double integral in polar coordinates that gives the area of the shaded region in the…

Q: dy Solve x dr + 5y = x sin (ax?)

A:

Q: NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS  1. D^2 (D-1)y=3e^2+sinx Please  answer this…

A: We have to solve the given non-homogeneous differential equation D2D-1y=3e2x+sinx by using the…

Q: (i) dy The ordinary differential equation is given by xe +y with initial dx condition y(1)-1. Apply…

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Q: Evaluate sin (44°) + cos (29°) using differentials. Refer to special triangles.

A: To evaluate sin44°+cos29∘ using differentials.

Q: 8. A bag of marbles can be divided in equal shares among 2, 3, 4, 5, or 6 friends. What is the least…

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Q: dY Consider the linear system: dt Y. (?) () (a) Show that the two functions Y, (t) = and Y (t) = are…

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Q: Which of the following techniques is an analysis of the relationship between two variables to help…

A: We need to find the technique that is an analysis of the relationship between two variables to help…

Q: 2. Consider the function 2r2 -9r-18 f(r) r-r-2 (a) Sketch the curve y f (r). (b) Find the area of…

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Q: Each face on Mount Rushmore is about 60 feet high if look up at an angle of 5° to the top of one of…

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Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

A:

Q: (ii) Estimate the integral I 1.4 sinx-log.x+e*dx 02 by using trapezoidal rule with h=0.2 correct to…

A: We can solve using trapezoidal rule

Q: 7 2x -10 14 08 O 9.5 O 8.75 07 0 9 O 7.25 4.

A:

Q: inimum and maximum values, and sad

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Q: ne radius of a circle defined by the equation x- 6x + 3.46 5.0 6.0 7.0

A: Radius of the circle

Q: Consider the function 2r2 -9r 9r-18 f(r) (a) Sketch the curve y f(x). (b) Find the area of the…

A: We have to draw graph of give function.

Q: Sketch the solution curves in the phase plane and the z(t)- and y(t)-graphs for the solutions…

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Q: -3 Let m be a real number and M = -69 If M is a linearly dependent set of M22 then m=4 m=6 m=1 None…

A: Let , m be real number. We know that , M2,2 is a set of 2×2 matrices. We have given that ,  M =…

Q: 1. Use the Euler, improved Euler and Runge-kutta methods to solve the following ODES: is C. y co) =…

A:

Q: Solve the differential equation below over the interval from x = 0 to 1 using a step size of 0.2…

A: In the analytic solution we find the integrating factor by rewriting the equation. And to find…

Q: Vx.y" +x = 4, y(0) = 1, y'(0) = 11 %3D %3D

A:

Q: A. For each of the following arithmetic sequences, find a) the common difference; b) the equation of…

A: To find the terms of the given arithmetic sequence :-

Q: 1. What is the integral that describes the enclosed region between y = 4x- x and the x - axis ? A.…

A: We will use the properties of definite integral and area function to solve the given problem.

Q: Find the transform, indicating the method used and showing the details (sin wt) (cos wt)

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Q: One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.…

A: Given that one pipe can fill a swimming pool in 10 hours and the another pipe can empty the pool in…

Q: Considering the following Linear equation set: 2x1 + 6x2 + 15x3 = -12 %3D 4x + 7x2 + 13.x3 = -10 3x1…

A:

Q: 3. The figure below shows twelve toothpicks arranged to form three squares. How can you form five…

A: Given:   the figure shows (in question) twelve toothpicks arranged to form three squares.

Q: 3. Show whether the following expressions are equal or not. Use tables or identities. x + (y z) = (x…

A:

Q: ди (х,у) — у. ди(ху) — и (х, у) с) х. əx ду

A: c) The given Partial Differential Equation is…

Q: Solve (x2 + 2y2) dy da = xy ; y(-1) = 1

A: We have to solve the differential equation.

Q: To find a particular solution for y"-36y = 44 sin(21) %3! with the method of variation of…

A: The given problem is to find the conditions required for the differential equation to find the…

Q: 1. The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

A: Let x be a first number.  Then, the other number is = (x + 9) Given, the sum of two numbers is = 25…

Q: Determine the line tangent to f(x) = 2x² + 3x + 1 at (-2, 3).

A:

Q: dz dz and an Draw a dependency diagram and write a chain rule formula for given the functions below.…

A: We will use the concept of chain rule of differentiation of Multivariable function and formation of…

Q: How may sets of intersecting chords are there in the figure? [6 1 12 14 73° 4 1

A: Q.6 has answer 3

Q: Let D= D1 U D2 , where 0 <y< 1 y <a< 2-y 0 Szs (2-a - y) D : 0 <r< 1 D2 : a Sys 1 0 <:S 1-y Which is…

A: Here we need to find a region which will cover both D1 and D2

Q: Derive the Rodrigues formula (for n = 0, 1, 2, ...) H,(x) = (-1)"e*². dx" dn (e*)

A: This is the problem of the Hermite formula, Rodrigues Formula, and infinite series.

Q: Consider the following sets. A = (3, 6, 9, 12, 15, 18} B = (4, 8, 12, 16} C = (3, 6, 9, 12} D = {1,…

A: The set P∪Q contains all the elements that are present either in set P or in set Q. The set P∩Q…

Q: Find the volume of the solid obtained by rotating about the y-axis the regioN bounded by y= 2x- x…

A: The given curves are y=2x2-x3 and x-axis. To find: the volume of the rotated region bounded by the…

Q: A particle is moving in space with position function Ř(t) = (sin(3t), cos(3t), 3 – 4t). %3D 2.1.…

A:

Q: 3. Let V = 6xy?z³ + 5 In(x² + y? + 3z²)V in free space. Evaluate each of the following quantities at…

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

Q: Given f (x) = |x| for x E [–n, 1] Show that 4 cos(2n – 1)x |x| = 2 E - - - (2п — 1)2 n=1

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Q: 35. yi 2y1 4y2. i = y1 - 3y2. yı(0) = 3. J2(0) = 0

A: According to the guidelines we are supposed to do one problem

Q: Prove that in any bi-right quadrilateral DABDC, ZC> ZD if PROBLEMS and only if BD> AC. (Assume ZA…

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Q: dz Suppose z is a function of x and y, and æ2 – y? = z*e®y. Solve for dx

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Q: f (t) = 3e " cosh (In 2r) ´cosh (In 2r) -21

A:

Q: I. Determine whether or not each of the following is an arithmetic sequence. 3. 3, 7, 11, 15,.. 4.…

A: To determine whether or not each of the following is an arithmetic sequence. 3 3,7,11,15,....4…

Q: Including the broken lines, how may secant lines are there in the figure? A E В 1 2 4

A: Solution -: There are two secant line  AB and CD .