In Mathematics one of the assessment methods is journals, by using an example explain this method completely.

Q: Q2: The body shown in figure is a rectangular box whose dimensions are L (length), B (width), H…

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Q: Find the equation of the tangent plane to the graph of f(x, y) = 3xy² + 2x³y² at the point (-2, 3).…

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Q: dw Evaluate at the given value of t, by using the Chain Rule, dt w = 2ye* - Inz, x = ln(t² + 1), y =…

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Q: Data on 30 grades of Statistics courses. 54 76 83 49 84 65 55 79 92 59 67 86 63 79 64 52 58 90 60 78…

A: a.)   Data from smallest to largest:495254555658585960626364656769727576787979798384858687909292

Q: Find the half-range sine series for the function f(t)=nt-t², in the interval 0<t<n.

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Q: A Let (A, +,.) be a subgroup of (M₂ (Z), +,.), Then A is ideal of M₂ (Z), where = {(ab) a, b, c €…

A: Let I be a non-empty subset of a ring (R,+,·). Then I is an ideal of (R,+,·) if and only if the…

Q: Convert to a cylindrical or spherical coordinate system.

A: Sometimes evaluation of triple integral in Cartesian coordinate system becomes very hard to solve.…

Q: (8) If F is a field, then it has no proper ideal. От F

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Q: A doll sold for $253 in 1975 and was sold again in 1986 for $408. Assume that the growth in the…

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 2x-x² 1 the polor…

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Q: SHOW DETAILED SOLUTION Find an LU decomposition of: a + b  + c = 1 4a + 3b  -1c = 6 3a + 5b+ 3c…

A: Sol LU decomposition : If we have a square matrix A, then an upper triangular matrix U can be…

Q: Write Fourier series for the function y=4n-k T≥X≥0

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Q: B)ls w = z²1² analytical function or not?

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Q: Consider the linear operator defined by Show that T is compact. E1 E2 E3 T:l² l², x = (1, 2, 3, ...)…

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Q: 44)If D is a ring of integers module 13. Then rad (D) {0}. От F O O

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Q: If f(z)=u(x,y)+iv(x,y), how do I determine dz? I have that the answer is dz=dx+idy, but I don't…

A: It's nothing to do with f(z)=u(x,y)+iv(x,y). Here z be complex independent variable. Hence , z could…

Q: Express (+) in polar form = O 3 [cos 67+isin 67] O 13 [cos 70+isin 70] O 3 [cos 70+isin 70] O 13…

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Q: How to find the inverse Laplace transform of the expression? (3s-5) / (4s2+4s+1)

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Q: Find the angle between the two vectors A=i+j+k and B = 2i+j-k

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Q: 6. Find the Laplace transform of the following functions (a) g(t) = et+2+ sint cost+to(t-2). (b)…

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Q: sin x cos x) (2 -

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Q: An office building worth $4 million when it was completed in 2015 is being depreciated linearly over…

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Q: 2 Express (¹+i) in polar form = 3 [cos 67+isin 67]

A: The given expression is 5+i1-i2 simplify the expression…

Q: Let K be integer ring module 12 and let 1=([4]) and J=([6]) be ideals of K. Then ([0])

A: We have given a integer ring module 12 which have given two ideals I and J  so first we find the…

Q: Find the mass of a thin funnel in the shape of a cone z = √√√x² + y², 1 ≤ z ≤ 2 if its density…

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Q: We consider the following differential equations: xy" + xy' - (x − 3) y = 1 pour x > 0. Give the…

A: Consider the following differential equations: xy''+xy'-(x-3)y=1 for x&gt;0   To Find: General form…

Q: 6. Find the Laplace transform of the following functions (c) g(t) = = cos 3tH (t-π)

A: The Laplace transformation is very significant integral transformation that is used widely in many…

Q: Q4/ Compute a 4-decimal place value of Log(11.7) from Log(11)=1.041, Log(12)=1.079 using linear…

A: Measured value m= 1.0672  Real value r= 1.0682  PRE= (|m-r|/r)×100%  PRE = 0.06%

Q: 00 Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the…

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Q: Q3: Approximate the integral using Taylor series method: TU 2 S x. cos²x dx

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Q: For the following three graphs, (a) compute the sum of the degrees of all the vertices, and (b)…

A: For the given three graphs, We have  (a) To compute the sum of the degrees of all the vertices (b)…

Q: The transformation T : R² → R² given by T([21]) = [27/1 True False [2x15x₂ + 3] x1 - x₂ - 1 is a…

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Q: How to find the Laplace transform of this equation? f(t)=sinh^2 t

A: Let us find the Laplace transform of the given equations in the next step.

Q: /Find the equation for the tangent plane and normal line to the surface Z = 9-x² + y² at the point…

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Q: Q5: Find the general solution for the following second order differential equation: y" - 4y' + 4y =…

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Q: Q8. Solve: log₂x + log₂ (x + 2) = log₂ (x + 6)

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Q: / Reversing the order of integration fxsinydydx.

A: To find- Reversing the order of integration ∫0π∫0xxsiny dy dx

Q: ¹).. Suppose that fn are integrable and ffn du <∞. Show that, if fn 1 f, then f is integrable and f…

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Q: + ax ax²y + bxy² + 2y³ be (x, y) its harmonic conj en la + b + v(1, 1) is ec

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Q: Find an LU decomposition of: 2x+3y-z=5 3x+2y+z=10 x-5y+3z=0

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Q: Find the absolute maximum and minimum values of D(x,y)=x²-xy + y² + 1 On the closed triangular plate…

A: Here I am using basic calculus we and also use short method.

Q: n: n(10P₂) = 10 C8.

A: Explanation of the answer is as follows

Q: Q1) Find the half-range sine series for the function f(t) = πt - t², in the interval 0<t<π.

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Q: Choose the write answer for L(f'(t)) O Non of These O F(0)+sf(0) O F(0)-sf(0) O SF(0)+f(0) O…

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Q: I F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y2)i + (y +…

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Q: Multiply the following fractions using the array model method described in the video lesson. Make…

A: To multiply a/b with c/d using array model method, draw b columns and fill a of them : draw d rows…

Q: T Q2/ Reversing the order of integration fxsinydydx.

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Q: . Use the Ratio Test to determine if the following series converges or diverges. n! Σn=1 (2n+1)!

A: Given series is ∑n=1∞n!(2n+1)!   Let  un=n!(2n+1)!

Q: 1. Let k> 0 be a given number. Consider the solid bounded above x² + y²+z² = 2k² and bounded below…

A: The given problem is to set up an double integral in Cartesian coordinates that gives the volume of…

Q: A bookstore purchased a best-selling book at P 200 per copy. At what price should this book be sold…

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