Q1.A: Find the area of the shaded region shown in figure (1). y = 1 y = x2 x 1+ y2 Figure (1) y = -1

Q: dx + 2- + x = u(t) x(0) = x'(0) = 1 dt %3D %3D dt

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Q: The following data give approximations to the integral M = sin x dx. h (3) = 1.896119, N () N (h) = ...

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Q: Consider the initial value problem y" – xy' + 2y = 0, y (0) = 3, y' (0) = 1 Find a power series solu...

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Q: Suppose that f(r, y) = /4 - a? – y? at which {(x, y) | 2² + y² < 4}. Then the double integral of f(x...

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Q: Evaluate the definite integral using the first four Newton-Cotes quadrature formulas. а. x2 cos xdx ...

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Q: Prove or Disprove. for any real numbers x and y, |x+y| = |x| + |y|

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Q: Find Laplace Transformation of the function; S(1)=(«* +sinKr} +r[ secKt K +t'e* -3Kt

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Q: 22. Given the function f at the following values, 1.8 2.0 2.2 2.4 2.6 f(x) 3.12014 4.42569 6.04241 8...

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Q: -aIa+Ga)Iy -tja) Is =0 --- ーユ2 + Iイ=o eq'n I eqin 2 -2Iz+ Is t Iq t I5 =o--- eg'n s J,-212 = 6 I,- I...

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Q: must include the entries augmented to the original one. 9. The difference between a complex number z...

A: We have to check whether given statement is true or false.

Q: Find the interquartile range of the data set. {-4, -6, -9, -3, -2, -4, 0}

A: Introduction: Median is a measurement of central tendency of a given statistical data. When we arran...

Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

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Q: Problems 1-30 use appropriate algebra and T find the given inverse Laplace transform.

A: The given function is L-11s3 Use the formula L-1n!sn+1=tn L-11s3=12!L-12!s2+1 L-11s3=12L-12s2+1=12t2...

Q: Find the surface area of a quarter of the sphere x? + y2 + z2 = 4.

A: The equation of a sphere centered at x0, y0, z0 is defined using the formula: x-x02+y-y02+z-z02=r2, ...

Q: Use extrapolation to derive an O(h) formula for f'(xo). Suppose that N (h) is an approximation to M ...

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Q: Consider the points A(3, –3, 3), B(4, –5, 0), C(-3, –4, 0), and D(6, 2, –6). (o) Find the volumo cf ...

A: Given four points ,we have to find the volume of the parallelepiped that has the vectors as adjacent...

Q: Find the local extreme values and saddle point of the function f(x, y) = 2x3 + 2y3 - 9x2 + 3y2 - 12y

A: Introduction: A function of two variables does have extremum value also. The critical points of the ...

Q: Evaluate, 8e 3 2230° express your answer in exponential form. 2x O 4e 4e 3 O 4e O 4e 4e공

A: First we write 2&lt;30°in exponential form then we will write the final answer.

Q: a The number of directions (unit vectors) in which the directional derivatives of f(x v) = xe-xy at ...

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Q: solve the given wave equation utt(x,t) = uxx(x,t) u(0,t) = u(1,t) = 0 u(x,0) = 0  ut(x,0) = 1  ...

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Q: Find the area of the largest triangle shown on the right. 10 in. 7 im 8 in The area of the largest t...

A: I have used formula for area calculation.

Q: Q4/ Solve the wave equation: at ax? Under the condition: u = 0 when x = 0 and x = n du O when t = 0 ...

A: The given wave equation is ∂2u∂t2=α2∂2u∂x2 We know from D'Alembert's formula that if  ∂2u∂t2=α2∂2u∂x...

Q: 60 50 40 30 20 10 -10 10 20 30 Bradley is a lifeguard and spots a drowning child 30 meters along the...

A: Consider the two, opposite, limiting cases. Case A: Bradley swims directly toward the child. On the ...

Q: Question 5 then For all non-negative ny, n2, k, kz E Z. if n, > nz and k > kz

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Q: If a bicycle is traveling 15 miles per hour, how many revolutions does the 24 diameter tire make eve...

A: As per Bartleby guidelines we're supported to answer only one question when two or more different qu...

Q: y"(x)+ Ay(x) = 0, y(1) = 0, y'(2) = 0.

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Q: 2. Two m x n matrices A and B are equal if a,=b, for each i & j. (i.e., the two matrices have same s...

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Q: cut from a 12-foot board? i divided 12/3.52%3 3 so there are 3 shelves that are complete. 2.Travel W...

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Q: Dad wants to give ₱5,000 to his four children in the ratio of 1:2:3:4 for their weekly allowance. Ho...

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Q: 4. Solve this fourth-order ODE by using the method of undetermined coefficients: y" – y" = x. (Sto

A: Introduction: The order of a differential equation depends on the highest order of differentiation. ...

Q: Approximate the sum of the series correct to within 0.00001 (-1)" n = 1

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Q: 2. For the graph below determine the equation of the graph. 10 undefined 20 -18 -16 -14 -12 -10 -8 1...

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Q: dy V1– 4x? 2 2 jia y =x cos 2.x -v فأن dx

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Q: Maximize  f = 8x + 9y + 3z  subject to 2x  +  7y  +  8z  ≤  100   6x  +  3y  +  z  ≤  160   3x  + ...

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Q: Using the Gauss Method, or what we refer to as the Elementary Row Operation, get the determinant of ...

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Q: Evaluate, sin(4 – 3i) O 10.04240.68° 10.04Z – 139.32° O 9.71Z – 137.52° 10.04Z139.32°

A: We evaluate sin(4-3i)

Q: Two large containers A and B of the same size are filled with different fluids. The fluids in contai...

A: Solution

Q: Let p : X Y be a quotient map. Let Z be a space and let g : X→Z be a continuous map that is constant...

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Q: 2. Suppose that u, v, and w are vectors in an inner product space such that (u, v) = 2, (v, w) = -6,...

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Q: 6. Compute the flux of F = [0, 0, z²] through the spherical surface S given as the upper hemisphere ...

A: To find- Compute the flux of F→ = 0, 0, z2 through the spherical surface S given as the upper hemisp...

Q: The Detective branch from the Dhaka Metropolitan Police has come to ask for assistance on determinin...

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Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

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Q: GIVEN: f(t) = 2t², 0 <t < n a) Graph the FOURIER SERIES of the periodic extension, fp(t)of the given...

A: We are given the function f(t)=2t2,   0≤t&lt;π. Here, the function is of period π. So, here p=π2. Th...

Q: Jimmie has a job at an advertising agency earning $54,000 per year. Jimmie is currently 26 years old...

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Q: QI/ Find the volume of the solid generated by revolving the region bounded by the lin (y= x+3 ), and...

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Q: A curve is drawn on a parabolic cylinder so as to cut all the generators at the same angle. Find the...

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence con...

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Q: 2. x + 5y + 15 z + 35 w + 70t = 0 X + y + z + W + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20...

A: We have to find the solution of the linear system.

Q: What is L (s-8) S-4 4r,2 A. e"r + 2e 4 B. et? +2e" 7 8t 2 4r C. e 32+2e 10 3r D. 2e" 3et0r 3r,3 E. +...

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Q: O max(x,z) О тах(хә 10xz + 3x + z suисh that 3 > 6х + 3z. О mincә 10xz+ 3x + z such that 3 6х + 3z

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