dr (linear differential equation) Solve:- de +rsec 0 = cos 0.

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = e F(x, y, z) = 8x+6y+9z

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Q: If the statement is true for all sets C and D, write "true." If it is not true for all sets C and D,…

A: Given: C≠∅U≠∅C⊂U We have to check that if U⊆∅ is true or false.

Q: Let S be a ring with ideals X and Y. Consider the subset X + Y = { x + y | x ∈ X, y ∈ Y} of S. Show…

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Q: If In(a) = 2, ln(b) = 3, and In(c) = 5, evaluate the following: (2) In (2² ( ₁-²/²) - ( (+) 6-2c (b)…

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Q: 3. Define In(x) = f du. Fix x € (-1, 1). Use u-substitution to prove that (1+2). Hint: Use X [.—₁ -…

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = tan(x + 3y+z) . F(x, y, z) =

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Q: -. The electrical current in amperes in a circuit is given by the function y = 5 sin 120nt a) State…

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Q: diagonalizing matrix P and a diagonal matrix D such that P-1AP-D, if mat diagonalizable. 3-2 0 1 4

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Q: The accompanying data describes net worth of the 15 richest people under 35. Complete parts (a)…

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Q: Find the gradient vector field (F(x, y, z)) of ƒ(x, y, z) = x³y³ z z F(x, y, z) =

A: Solution :-      The given function is     f(x,y,z) =  x6y3z4   then , we have to find gradient…

Q: Determine g(1.3)  for the following function: g(x)=2[x]+5 .

A: Here the given function is g(x) = 2x+5

Q: Problem 5.38. Suppose f: X→ Y and let CCY and DCY. Prove: 5.38.1. f¹[CnD] = f[C] nf [D] 5.38.2.…

A: Given that, f: X→Y and let C⊆Y and D⊆Y. We have to prove that, 1. f-1C∩D=f-1C∩f-1D 2. f-1C\ D=f-1C\…

Q: Is the vector field F(x, y, z) = y²z² cos (xy²z²) i + 2xyz² cos (xy²z²) j + 2xy²z cos (xy²z²) k…

A: Note the following fact :  Conservative field : If F →=grad f ,then F→ is conservative .

Q: Why is answer A+B=1 and 2A-3B=-2 ?

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Q: 5.1.3. Show that (a₁ + a2 +. + an)² ≤ n (a² + a² + · Hint: Use the CBS inequality with x = α1 XX2 On…

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Q: 5. Find a value of ¤ such that 1 = 3. Plug this ä into ao + ª₁x + a²x² + A3x³ + a4xª + a5x5 + α6x6 +…

A: Given 1+x1-x=3 ∴1+x1-x=3⇒1+x=3-3x⇒4x=2⇒x=12

Q: Using VIM to solve y" + 2y² = 0, y(0) = 0, y'(0) = 1

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Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

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Q: Solve for Y by determinants: x+y+z=( ) 3x-y-2z=4 5x-2y+3z = -7

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Q: prove the following statement If A, B, and C are sets, then A - (BnC) = (A - B) U (A - C). Suppose…

A: Since you have posted a question with multiple sub ports, we will provide the solution only to the…

Q: Calculate the integral approximations Té and M for (In x)² dx. Your answers must be accurate to 8…

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Q: 3. Let A be an n x n matrix, and let AT denote its matrix transpose. Based on properties of…

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Q: Find the mean for the data items in the given frequency distribution. 2 3 5 1 8 Score, x Frequency,…

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Q: 1- The polynomial 6x³+mx+nx-5 has a factor of x+1. when divided by x-1, the remainder is -4 what are…

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Q: = Evaluate the line integral of f(x, y) = √1 + 9xy, where is the portion of the graph of y 0 ≤ x ≤…

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Q: Solutions to higher Order DE using laplace transform 1- y" + 2y² + y = 8 (+-1) y(0) = 0, y'(o) = 0

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Consider the parametric curve: x = 6 sin 0, The curve is (part of) a circle and the cartesian…

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Q: For the given cost function C(x) = 72900 + 500x + x², find the following. Round to two decimal…

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Q: у соз=1 t у" -дув +2y =130 све у '%) =3

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Q: Consider the chess matrix A (a) Find a basis for im(A). (b) Find a basis for row(A). (c) Find a…

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Q: Problem 1: Determine whether graphs G and H are planar or not. To show planarity, give a planar…

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Q: V J K -8-6 W L Y M -4-2 X 6 4 2 O 2 -4 -6 y A B 2 4 C D 6 8 X

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Q: 6. Use an appropriate test, and clearly indicate which test you are using, in order convergence or…

A: The given problem is to check whether the given series is converges or diverges with using…

Q: Let sequence (tn) = (1 , 0 , - 1 , 0 ,1 , 0 ,-1 ....) What is the lim sup (tn) , and lim inf (tn) ?

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Q: The sequence p₁ = 3-3", n = 0, 1, clearly converges Problem 1. as n . What is the order of…

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Q: (x+6)2/3=1 What kind of equation is it? how is it solved? Will you need to check for extraneous…

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Q: PLS DO ON COMPUTER OR TYPE IT SO I CAN READ IT   1) You are to create a real life example of a…

A: An equation is said to be a linear equation if the highest power of the variable is always 1. The…

Q: Find the area bounded by the curve and the line y = 13. Area = x = t-1/t y = t+1/t

A: We will find cartesian equation of the curve and identify the region bounded between curve and line…

Q: Solve the equations by Cramer's rule: 2x -y + 3z = -3 3x+3y-z=() -x-y+z=-4

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Q: Consider the function f(t) = { sin(t = (sin(t - 4π) if 0 < t < 4T if 4 < t. a. Use the graph of this…

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Q: Use ratio test to determine if the series is absolutely convergent or not.

A: Given a complex power series  ∑n=0∞-1n1+i2n2n!. By using ratio test we need to determine given…

Q: Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on…

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Q: Explain why if an converges, then limn→∞ an = limn→∞ an+1.

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Q: Calculate the integral approximations T6 and M6 for ſå (In x)−5 dx. Your answers must be accurate to…

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Q: For x, y = C", x ‡ 0, explain why equality holds in the CBS inequality if and only if y = ax, where…

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Q: Write your answer in exact form and in terms of 7. Use an appropriate coordinate system to find the…

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Q: Find a transformation that makes the ellipse Jacobian of this transformation? = 1 into the unit…

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Q: Determine the upper-tail critical value to/2 in each of the following circumstances. a. 1-α=0.99,…

A: Solution :- To calculate tα/2We need degree of freedon i.e value of n and level of significance

Q: +vides 12,use Leibnitz rule to convert the Volterra integral equation of the first kind to a second…

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Q: 3. a. (0.25, 0.75) Evaluate using Beta Function:

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