c) Find te geseral salutin * (2x +y)dx - (ux + ay -i) dy o

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…

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A: To solve the given problem with the help of combination :-

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: An aerobic exercise instructor remembers the data given in the following table, which shows the…

A: Let us determine the linear correlation coefficient for the given data in the next steps.

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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: The function Ax) is given in the following tabulated form. Compute [Ax)dx with h- 0.25 and 1. with…

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Q: a) Find the intervals on which g is increasing or decreasing. b) Find the (x,y) coordinates of any…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: A. Perform the indicated operations on sets. 1. AUB 2. AnD 3. AUCUD

A: Given data:A={3,6,9,12,15,18}B={4,8,12,16}C={3,6,9,12}D={1,2,3}E={3,9}F={1,2,3,4,5,6,7,8,9,10}

Q: x2 y2 The vertices of the hyperbola with the equation = 1 are (-2, 2) and (2, 2) (-2, 0) and (2, 0)…

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Q: How many distinguishable permutations are possible with all the letters of the word ELLIPSES?

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

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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: The length of the latus rectum of the ellipse defined by 25x? + 9y? - 300x - 144 y + 1251 -0 3.0 3.2…

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Q: 1. Solve for x(t) and y(). given that x(0)=4 and y(0)=3 da + x + 4y = 10; x dt dy - y = 0 dt What is…

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Q: 2.1.12. Corollary Let (H)be a nomal subgroup of the group (G). There is one -one correspondence…

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Q: 1. ~(AV B) — с 2. ~A 3. ~С Show that (1) – (3) entails B

A: We have to show that (1)-(3) entails B using the rule of inference.

Q: describe how LU factorization of a nonsingular matrix B can be found using Doolittle’s method.

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Q: Let z1 and z2 denote complex numbers. Show that (z, z2)= z,72 defines an inner product, which yields…

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

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Q: 1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3 dy dx + x + 4y = 10; æ dt - y = 0 dt

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Q: [2(cos 25 +isin 25)]. [5Ccos75+isin 75)]

A:

Q: The following graph represents the growth functions of two different algorithms. Use the graph to…

A: For algorithm B: F(x)=5x-14 Which is a linear relation with x. For algorithm A: G(x)=x2 Which is…

Q: Evaluate the integral 53.3904 | (1-e0183551) dx by using third-order (two-point) Gauss quadrature.…

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Q: 4. x"(t) – x(t) = 4Cost with x(0) = 0, x'(0) = 1 5. y"(t) – 6y'(t) – 9y(t) = 6t²e3t with y'(0) =…

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

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Q: 3 Use the linear approximation to estimate Af = f(3.1) – f(3) for f(x) = I+x (Use decimal notation.…

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Q: Evaluate the integral (2cos0+5cos 30)* sin0 d® using Simpson's 3/8 method and dividing the 4. whole…

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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…

A: To find how far from the base are you?

Q: - 36y = 44 sin(21) rs, we have -6t

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Q: Let X be the vector space of all or Can we obtain the norm defined on from an inner product?

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Q: find The complete SoLution of The differential eqution y+2y+4y=asX Subjected to The Condioin y…

A: The given differential equation is                                   y''+2y'+4y=cos x with the…

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: We can solve this using diagonalisation     Hence a) ellipse b) X2p + Y2p = 36

Q: 2. Identify the locus, discuss the properties and sketch the graph of the following equations: 1- 2…

A: We have to solve given problems:

Q: Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec²x

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Q: Line 1: 1 - y = Z – 8 2 х — 3 4 Line 2: x=-2t y=2+2t z=6+2t 1.If the given lines intersect at a…

A: To find the given questions when two lines Line1 and Line2 are given :-

Q: The eccentricity of an ellipse with the equation 16x? +9 y + 32 x – 128 = 0 is 0.53 0.66 0.82 0.93

A: We have to find the eccentricity of the ellipse  16x^2+9y^2+32x-128=0

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

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

Q: 4. Find the sum-of-products (SOP) and product-of-sums (POS) of the following Boolean functions. a.…

A:

Q: Find all the second order partial derivatives of the given function. f(x,y) =xy? + ye * + 5 O A. 2f…

A: Given :  f(x, y) = xy2+y ex2+5 We have to find all the second order derivative of the given function…

Q: In substituting the point (4,1,2) in the partial derivatives, why does the terms without x and y…

A: In part (2), we have the following: ∂g∂x4,1,2=-π1 sin4π -14-1 ln3log332 Now, sin4π=0 So,…

Q: 4. Graph one complete cycle. Label everything! ! Fill in all the blanks. y = -1- 3csc( + Domain:…

A: The given function is y=-1-3cscπx2+3π4. To find: (i) Domain. (ii) Range (iii) Amplitude (iv) Period…

Q: 4. Solve the initial-value problem dr = -2r - 2y dt dy -2r + y. dt where the initial condition is…

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Q: SVp? - 18p – 35 dp S 2sin*x sin(2x) dx

A:

Q: Let f: A-XX Y be defined as f (a) = (f, (a). f2 (a)) each a A, Then f is continuous if and only if…

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Q: 2s - t 3. Let S = ,te R -S i. Show that S is a subspace of R* ii. Find two vectors that span S ii.…

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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: Solve [a – y cot ()) dæ + a cot () dy = 0 ; y (5) = 1

A:

Q: 7x Find the linearization L(x,y) of the function f(x,y) = e '* cos (5y) at the points (0,0) and 0, 2…

A: Linearization of the function