display of data to find the standar

Q: Multivariable problem: Derive the Euler-Lagrange equation and bound- ary condition for the problem…

A: As per the question we are given a multivariate optimising function.  And we have to find the…

Q: 4-2. (a). What is the coefficient of x’ in (1–x)º (b).What is the coefficient of x in (1–x)-9

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Q: evaluate the integral where c circle of positive rotation e^z/1 -cos(z) dz where C is |Z |= 1

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Q: B. Find the area of the region bounded by the following: 12²/1/20 16. r=8sin

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Q: 4-2. (a). What is the coefficient of x7 in (1–x)9 (b).What is the coefficient of x in (1–x)-9

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Q: Let L be the line in R³ that consists of all scalar multiples of the vector onto L. proje 22 T .…

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Q: I. Give one other possible application that are not stated in the material of the following…

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Q: Suppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. Prove that…

A: This is a problem of the chain rule and Implicit function theorem.

Q: 6) Find the measure of all 7 angles given that one of the angles is 115. Angle 1- Angle 5= Angle…

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Q: The table below shows the enrollments for the four division of a college. There are 50 new overhead…

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Q: Use Gram Shmidt Algorithm to build an orthonormal basis beginning from the given basis in R: (1, 1,…

A: First part: We have to find the orthonormal basis of the basis 1,1,1,-2,2,1,1,2,2 using the Gram…

Q: Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the…

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the…

A: 1st we will understand the situation by considering r1(t) and r2(t) represent position of two…

Q: From the list below find the only differential equation that has both functions ₁(t) = e²t and y2…

A: Given solutions of differential equation are y1(t) = e2t ,   y2(t) = -2e2t

Q: 18 || 3 -6 -12 0 and y= -107 -4 -11 9

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Q: In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the…

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Q: 11r If F(r) and o is the surface (x – 4)2 + y² + z² = 49 oriented 3 outwards, what is the value of…

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Q: For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is…

A: We have to factor the given matrix A into a product QDQT where Q is orthogonal and D is diagonal.

Q: 32 Q3: If f(z) Find the residues at all the poles of f(z) !! (Z+2)2(Z2-1)

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Q: y? +x = 2, 2r + 3y +3: 6, = 0, y=0, 2=0 TOke the surfaes and obtam valmes fo X, Y and z qnd compore…

A: Given,y2+x=2,        _________(I) 2x+3y+3z = 6, __________(II)x = 0, y=0 and z=0From (I)y = 2-x…

Q: B. Find the area of the region bounded by the following: 17. r=3sin 40

A: Here we can use the formula for the area of polar curve which is given as follows A=∫∫A r dr dθ

Q: A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola…

A: Given that height of rectangle h=144−x2. And width of the rectangle is w=2x. Hence, the area of the…

Q: Solve the given ODE using the power series method. y' – xy = 0 2. Obtain the recurrence relation.…

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Q: How many different initials can someone have if a per son has at least two, but no more than five,…

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Q: Obtain the Laurent series with center zo = 1 for Determine a) The singularity/ies of the function b)…

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Q: Find the Value of ? P(a, b): a^ bv ( !a ^!b) ^ b == b Va (Vb P(a, b) ) == ? 3a (3b P(a, b) ) == ? a…

A: For any P,  P v !P = T                    P ^ !P = F Hence, a = {T, F} Again for any R,  R ^ !R = F…

Q: Find the QR factorization of the given matrix. -2 -9] -2 -1 -3

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Q: Prove by contraposition that if x^5 + 7x^3 + 5x >= x^4 + x^2 +8, then x >= 0

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Q: prove the ITT₂TT, ITKITI"

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Q: Verify the conclusion of Green's Theorem by evaluating both sides of each of the two forms of…

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Q: Which stamens is true A. quadrilaterals have right angles B. All quadrilaterals are rectangles C.…

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Q: 3. If x and y are two n-vectors, then prove that 1 (a) |x*y|< ]], \»l, - +=1 (Holder inequality) 1…

A: Given that x and y are two n-vectors. We have to prove the following :                          (a)…

Q: A bank features a savings account that has an annual 4.9% with interest compounded percentage rate…

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Q: 4. Let R be endowed with its standard topology. a) Find the closures of : i. Q ii. R-Q iii.…

A: This is a problem of topology.

Q: What is the correct quadratic function for this parabola?

A: Note: General equation of parabola is y-k = 4a(x-h)^2 and x-h = 4a(y-k)^2  Vertex for both the form…

Q: QUESTION 7 Find the area of the region that lies inside both curves. = 8 + 2 sin , r = 7

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Q: What is the correct quadratic function for this parabola? 2+ 1+ -3 4 A 3 4 -3 + a. fx) = (x+ 2)(x-…

A: Explanation for the correct asnwer The intercept form is y=a(x-p)(x-q), where p and q are the…

Q: Sketch the path using the following parametric equations x(t) = 3t – 7 and y(t) = 4 sin t+1 0st55,…

A: Here we need to find different points for different values of t

Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

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Q: B. Find the area of the region bounded by the following: ²= 2 cos 20 and outside r = 1 20. inside

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Q: Solve the given ODE using the power series method. y' – xy = 0 -

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Q: 3 1 (6) Consider the system z'= Ax + G, where A = and G(t) = (a) Decouple the system using the…

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Q: S2 is isomorphic the symmetry group of a line segment, while S3 is isomorphic to the symmetry group…

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Q: Find the flux of F = 5zi+ 3y²j+ 2xk through of the total surface of the closed cone y = Vx² + z²,…

A: Flux of vector F through a surface S  can be given by  flux= ∫∫SF.ds We will use Divergence theorem…

Q: "+ xy' + 2y = 0 Obtain the recurrence relation. as as+2 s +1 as as+2 s +2 а, as+2 = s + 2 as Oas+2 °…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (y²…

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