X + 2Y = 0 (a) 2X + 3Y = 1

Q: f(t) = (1 + tet)*

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Q: 3. The following table was obtained in solving a differential equation. Using linear interpolation b...

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Q: "epress the following integrals in terms of gamma function T/2 dx (b) V(tan 0) de. (a) V(1 – x) (d) ...

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Q: P(x1, #2) –X2, Q(x1, x2) = x1; D = {(x1,x2) :0 < x1 < 1,0 < x2 < 1}. = -

A: Note : " As per our guidelines we will solve only first question . If you want any specific question...

Q: f (x) = 7X 0< RくL 1<スc2

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Q: The improper integral 1 -dr 2+2r+2

A: The indefinite integral: ∫f(x)dx is same as the improper integral: ∫-∞∞f(x)dx. It is known that: ∫1u...

Q: Let f = ao+ajx+…+a„x" be a polynomial. I can treat f as an element of R[x] by defining an+1,&n+2,......

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Q: 2n2 Using the mean-value theorems, show that in sin z w/6

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Q: (i) Deduce that the difference in the number of integers in the numerator and denominator of (* 2N N...

A: Properties of floor functions will be used.

Q: Let b ER. Consider the following system: x+ y+z = -1 4x + 2y + z = 3 9x + 3y = b Using Gaussian elim...

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Q: VI. Give the Maclaurin series expansion of f(1) = In(3 – 21). Determine its interval of convergence....

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Q: Create a value of 31 x in the interval [0; 3] with a uniform division of 0.1 and calculate the funct...

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Q: Let g be a decreasing continuous function on [0,1), assuming the values g(0) = 1 and g(1) = 0. Show ...

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Q: 6+ -0 -3 -4 The plot above is created with the parametric equations S¤(t) = a cos(bt) l y(t) = c sin...

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Q: Problem 1. Give an example of a normed space E and a convex function o : E→R such that y is not lowe...

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Q: 3. Use the formula ((x+h)-f(x) to approximate the derivative of f(x) = 3x² at x = 1 h using h = 0.1....

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Q: Suppose you have just finished approximating f (x) = x3 for 0 ≤ x ≤ α and ended up with φˆ(α, x) = 2...

A: Given suppose you have just finished approximation f(x) =x3 for 0≤x≤α and ended up with φ^ α, x= 25x...

Q: Find the rectangular form of 3/2 et* i.e. the a + bi form.

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Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. í. . SLALE.. 2. The ne...

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Q: (a) If r and s are regular expressions, explain why (r+s)* + r* + s* . (b) Also carefully explain wh...

A: Regular expressions:- If r and s are regular expressions then, r*=ε+r+rr+rrr* and s*=ε+s+ss+sss*.

Q: 2. Let T = {o € S4 | 0(3) = 3}. (a) Show that T is a subgroup of S4. (b) Prove that T = S3.

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Q: List the eigenvalues of A. The transformation x-Ax is the composition of a rotation and a scaling Gi...

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Q: Evaluate the given integrals. 3x dx 1. S 2x*-1

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Q: 2. Recursive function Let g : N Z be defined by g(0) = 2 and Sg(n – 1) if n 2 1 and n is odd, | 29(n...

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Q: tind the pen meter 4 4

A: As all the four circles have same radius which is 2so the given figure is a square whose perimeter i...

Q: In Problems 75-86, find the exact value of each expression. 75. sin sin V3 + cos 2 - + cos 76. sin s...

A: 79.  costan-143+cos-1513Using cos(A+B)=cosAcosB-sinAsinB we have,costan-143+cos-1513=costan-143cosco...

Q: Transform the following point, using the given rule: (-3,8) Rule: (x,y)-> (x-8, y+2)

A: A coordinate system is a convention that is used to represent a point uniquely using a set of number...

Q: Q7: Write the treatment plan for the following risk "Possibility of wrong data entery is 6.5%"

A: Solution:-

Q: log (1 + ax) 1+ x? dx and hence show that =. Evaluate 0, ' log (1 +x) dx = log, 2. %3D 0, 1+x

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Q: 1. Apply the Trapezoid method to the ODE x' = -x + t/x for two steps with x(0) = 1 and h = 1/4. Show...

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Q: Unit 4 Triangles TCT The side lengths of possible triangles are listed in the table below. Choose fr...

A: Concept: To form a triangle, the sum of two sides of the triangle should be greater than the third s...

Q: The plot above is created with the parametric equations ( ¤(t) = a cos(bt) y(t) = c sin(dt) %3D

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Q: Using (11) and (12): 1 dx 1+ cos x tan +c

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Q: The equation x5 + x4 − 5 = 0 has one real solution. Approximate it by Newton’s Method.

A: This is a problem of Newton Raphson method.

Q: Take a sequence of diagrams and imagine building each diagram from matchsticks, like the one shown b...

A: a) in the first diagram number of match sticks required is 6 In the second diagram number of match s...

Q: 1. Using the properties of determinants, solve with a minimum of calculation the following equation ...

A: We have,xaa1axb1abx1abc1=0Applying R2→R2-R1R3→R3-R1R4→R4-R1 we get,xaa1a-xx-ab-a0a-xb-ax-a0a-xb-ac-a...

Q: A company has four outlet stores.  The number of customers at each outlet is shown in the table belo...

A: We have our modified standard divisor as 23.56. Using this we have to find the quota and then round ...

Q: rz cos 0 12. Let F(r, 0, z) = rz sin 0 (а) Find F'. (b) Find det(F').

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Q: arctan(x) dx = x arctan(x) - 2 In(1+ x?) + c

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Q: ſcos 3t sin 8t dt * 1/2 (-1/5 cos5t - 1/11 cos11t ) + C O 1/2 (1/5 cos5t - 1/11 cos11t) + C O None o...

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Q: Solve & Discuss It! Gabrielle wants to cover the floors of a room and a haliway in her dollhouse. Sh...

A: Let us consider a rectangle of length L and breadth B then  area of rectangle is  area of rectangle ...

Q: Given is the reduced prime implicant chart of a function f3(u,v,w,x,y) after the essential prime imp...

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Q: 3. f (t) = e2t cos 5t – 3t3

A: The given function is ft=e2tcos5t-3t3. The Laplace transform formula for eatcosbt is given by leatco...

Q: cos(2x) dx 1 In |1 – sin(2x)|+c 2 - 1 – sin(2x)

A: Note: It is assumed that the question is asking to test of the validity of the given equation.   It ...

Q: Consider the three systems of linear equations: 4х1 + 6х2 + 2х3 + 8х4 2 4x1 + 6x2 + 2x3 + 8x4 2 2x1 ...

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Q: Suppose that a political campaign by Loki estimates that the candidate's polling percentage y and th...

A: (a) We have y = e0.3x+(5ln x)2 Here we need to find the value of x when y = 2%

Q: B. Prove that the given equation is a solution to the given DE: 1. = C,e3* + C2e²* + C3e* ; y"" – 6y...

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Q: 1. Fill in the table for each parabola equation. BE CAREFUL Some information is not given by certain...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 5. Match the vocab word with the correct definition: Circumscribed Choices Divide into two equal par...

A: To write the definitions of circumscribed, congruent, inscribed,bisect.

Q: Obtain the values of the following integrals. sin?nz+cos²nz A) dz on the contour |z – il = 3 (z-1)(z...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...