gb the veetor field is given by Ě F-(2x-+z)i+ OHy Z²) j+(3x-2y+4z)R then evaluate the line integrad over a eineular Patth given bo x'+Y=a?, z=0 8 Evaluate pe Cordx +x²dy) cutiere 'e is the triangle with vertices (4,0), (1,1) and L0,0).

Q: 11. Determine three positive numbers whose sum is 21, so that your product is the maximum possible…

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Q: 2. y" + 4y = cos²x cosʻx

A: Given the differential equation: y"+4y=cos2x To find the solution of the given equation.

Q: Q6: Solve for matrix X in the matrix equation X- A" = 21, where I is a unit matrix with size 2 x 2…

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Q: You can afford a $400 per month car payment. You've found a 4 year loan at 6% interest. How big of a…

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Q: Find the volume of the solid under the plane z = 3x + y and above the region determ

A: Given the plane                       z=3x+y and                y=x7,  and   y=x

Q: The function x2 f(x) = 1 - x is decreasing on (0, 1). Select one: O True O False

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Q: Completed this t:able of percemtage nterest rates. Annual rate Sbr monthly rate Quarterly rate…

A: To complete the given table :-

Q: Find the solution of the equation = e cos y dy? which tends to zero as x → 0o and has the value cos…

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Q: 1. Raul has a wall 4 units long and 2 units wide in the Cartesian plane centered on the origin. On…

A: 1st we will find point of intersection and then draw region bounded

Q: Find the volume of the solid that results by revolving the region enclosed by the curves x= 10 –…

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Q: Consi der the lines : = 2 - y = z+1 and l2 : = y - 2 = 1. Determine a direction vectors for the…

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Q: Let D be solid hemisphere x² + y² +:? < 1, : 2 0. The density function is 8 = :. We will tell you…

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Q: There are 8 balls in a box: 3 red balls, numbered 1 through 3, and 5 green balls, numbered 1 through…

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Q: Consider the vector v = ( 5 1 -3) in R3. v belongs to Span{(( 2 -1 0), (1 2 -3)}. Select one: O True…

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Q: Q7: Solve for matrix X in the matrix equation 3X + B = C , where B and C are B -10

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Q: 2.2 Let f be a function that admits continuous second partial derivatives, for which it is known…

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Q: d – 2g f – 2i 3c -а + 4g -b+ 4h -с+ 4il е — 2h 3b a b с Let |4| = |d e f = 2 and B = За g hi

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Q: use the Fuler method's Solve the: y(0) =1h=02

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Q: Let n e Z. n#-1,3,

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Q: A B C Activity Immediate Predecessor Time to Complete D E AB B C.D 8|9 10 5

A: 4. Draw the network diagram as follows

Q: Q10: Given that A. determine the value of a12 + a21 -

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Q: fined the genral solution 8) (D + D,)u = o

A: Solution of the homogeneous partial differential.

Q: 1 B = -2 -2 ? Why? -1 5. 327 3. :-

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Q: Four candidates are running for a lone position in the council of representatives. The results are…

A: Majority is a noun that in general means “the greater part or number; the number larger than half…

Q: Write the contrapositive of the following statement: "If a graph G has an Euler circuit, then G is…

A: The main objective is to write contrapositive of the given statement.

Q: Use a definite integral to find the area bounded by the curve x+3, the axes over the interval…

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Q: Give values for the Fourier sine series S(x) = ) Bn sin 00 (-) пт %3D 4 n-1 S(4) = S(-1) = S(7) =

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Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy)+ log3(x – y)' Do as indicated. 1.…

A: First we change the base if logarithm to e.

Q: Express the double integral in terms of a single integral with respect to r. Then use a calculator…

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Q: 2. A particle is moving along a line with velocity given by the function v(t) =t tanh(ln t)[sech(ln…

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Q: 3 6 Work Problem 3 ( ): v1 = 0 | v2 =|0 |2 vectors from %3D R. (a) ['.Determine if the vectors {v1,…

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Q: 5. Let F(x, y) = x² + y² + xy + 3. Find the absolute maximum and minimum values of F on D = {(x, y)|…

A: The main objective is to find absolute maximum and minimum of f(x,y) subject to given condition.

Q: Prove that 17 is the only prime number of the form n°- 64.

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Q: GRAD, DIV, CURL, V, DIRECTIONAL DERIVATIVE Let f = zy + yx, v = [y, z, 4. - x], w = [y, z?, x2].…

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Q: If 1 d 1 d a a det b = -1, and det 6 2 = 3, e e 1 f 3 f then a d det and e f d' det 1 e 2 f]

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Q: The volume of the solid region, in the first octant, that lies below below the surface, z = above…

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Q: Researcher need to present age of 200 patients by class interval so the number of class equal 200 O…

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Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

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Q: 2r2 + y2 7. Consider the equation surface S = P= (1, 1,V3) in the direction of the vector w = (1,…

A: Solution

Q: Consider the following statements about the surface of equation 2 = ye- – 2xy? and the point P(0,-2)…

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Q: 2.4 If (x, y) = -r* - y" + 2ry – 8r" + 7y, , then in the process of obtaining its critical points…

A: Given a function f(x,y) = -x4-y3+2xy-8x2+7y   Also given the equation obtained during the process of…

Q: 24 + 16 = 0 e22-2z-3 = 0 iz = (-i)(-i)

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Q: 1) Find all integral solutions of the linear Diophantine equations бх + 11у %3D 41

A: Here we use the euclidean algorithm to solve the Diophantine equation

Q: 3) Find the volume of the solid under the plane z = x- y and above the region bounded by X = tan y,…

A: If is a bounded rectangle or simple region in the plane defined by and also by  andis a nonnegative…

Q: Find the intervals of concavity and inflection ints of f. Sketch the graph of f.

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Q: f(t) = t(1 – t), on 0<t< 1 a) Find the Fourier Sine Series expansion and the Fourier Cosine Series…

A: Please check the expression of series. For Fourier sine series f has been extended to an odd…

Q: Q4: Fill in the blank: If –3X + = 0, then X

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Q: Given the following set of the vectors from M22 11 0 0 1 0 0 1 S = 0 0 1 1 0 1 11 Sis the spanning…

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Q: You deposit $980 in a savings account paying 3.8% simple interest. How much interest will you earn…

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Q: Which of the following statement is false? (a) The characteristic of an integral domain is either…

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