t-3 The domain of the function f(t) = is (-v2, v2) and [3,0] %3D t2-2

Q: Use Stokes' theorem to calculate the integral for the surface S and boundary aS, and the given vecto...

A: S={(x,y,z): x2+y2+z2=64, z≥0} This is an equation of a sphere We take an element in the (x,y) plane ...

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A: In this question, the concept of boolean algebra is applied. Boolean Algebra A boolean expression is...

Q: 2. Let W be an (n – 1)-dimensional subspace of V. Show that V has a basis B satisfying Bn W = Ø.

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Q: 17. /x(2- x)° dx 1/3

A: Introduction: Suppose, a function fx is given. We want to determine another function φx such that φ'...

Q: 1. Find all local maximum point, local minimum point, and the inflection the curve y =x* -8x +6

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

Q: What is the y-intercept of the line illustrated in the graph below? (Ente round to the nearest tenth...

A: The line in the graph can be seen to pass through the point (0,0). 

Q: 4000 3500 3000 2500 2000 1500 1000 500 200 250 300 350 400 450 Number of Customers Number of Custome...

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Q: lockwise SE

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Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: 1 xS dx i+x²+1) dx 3 x(x'+2x+ 1) dx

A: Note:- As per our guidelines and due to time limit, we can answer the first three sub-parts of this ...

Q: If x and y are real numbers and x>1, prove that there exists a positive integer n such that x" > y

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Q: x" cos h(x) dx

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Q: When the median is computed for a sample, all values in the data set are * .used True O False O

A: Answer  - True

Q: Test for exactness. If exact, solve. If not, use an integrating

A: Given,            x2+y2dx-2xydy=0

Q: arbitrary constant elimination

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Q: 5 What is the value of (). A B quoe to apn 3 C 343 2.5 1 D 343 M/7 H/7

A: We have to find the value of 173. We can write the large numbers in the exponent form ab, where a is...

Q: Prove each statement in 6–9 using mathematical induction. Do not derive them from Theorem 5.2.2 or T...

A: Note: As per our company guidelines we supposed answer only one question Given that for every intege...

Q: 3 sin? dx csc? x tan? x dx

A: Some of the properties of the integration  ∫sinx dx=-cosx+C ∫cosec2x dx=-cotx+C ∫sec2xdx=tanx+C

Q: EXERCISE 18.2 2. y 3x + 6 1. yx-1 4. y+2x 3 3. y-+2

A: Intercept of a line : It is a point on the line that touches x-axis and y-axis x-intercept is the po...

Q: If P(ENF) = 0.0675, P(E|F) = 0.15, and P(F|E) = 0.3, then (a) P(E)= (b) P(F)= (c) P(EUF) =

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Q: Given the difference equation: y[n] - 0.7y[n-1] = x[n] with initial conditions y[-1] = 14 and causal...

A: Introduction: The difference equation deals with discrete variables. It defines the difference betwe...

Q: Is the series 22"31-" convergent or dive n=1 Co

A: Introduction: We know that the series an=∑an converges only when L<1, diverges when L>1, Where...

Q: 4. ( A 2-kg mass is attached to a spring with stiffness k = 18. Neglecting dampıng. write out the eq...

A: Given that: Mass of the attachment, m = 2-kg Stiffness of spring, k = 18 To find the equation of m...

Q: As a monkey crosses the river on the vine he stops to reach down and get a drink as pictured. If the...

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Q: Solve the following LPP problems using Simplex Method: 4. Max Z = X1 - 3 X2 + 2x3 Subject to 3x1 - X...

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Q: (esc (x) – csc(x)) cot(x) dx

A: Introduction: The u-substitution formula is a method for calculating integrals. The fundamental theo...

Q: Let T : R? → R? be a linear transformation that sends ēj to x1 and e, to x2. If T maps (-9, -2) to t...

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Q: Estimate the area of the curve y = 2x + x - 3 from x = 1 to x = 3 by using 5 rectangles and right en...

A: We have the lower limit, a = 1, and the upper limit, b = 3.  We are using five rectangles, that is n...

Q: e of 4,7,1

A: Introduction: A sequence is an arrangement of numbers in a specific order. A series, on the other ha...

Q: 1. Show whether the given polynomials 1+4x + x², 2+ 5x + 3x2, 3x 5x, and 3+ 15x - 8x spans p,. Justi...

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Q: 1. Factor fully. a) 60х - 10х — 150 b) 12km – 72k – 5m + 30 16у' - 1 d) 49 — у' + х* 2 - 14х

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Q: If x and y are real numbers and x>1, prove that there exists a positive integer n such that xn > y

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Q: (Steepest descent and CG) Consider the following linear system, (6 )()-0 1 0 2 x2 ke the initial gue...

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Q: Solve the following LPP problems using Simplex Method: 3. Max Z = 3x1 + 2 x2 + 5x3 Subject to X1+2x2...

A: The given linear programming problem is                         Max Z=3x1+2x2+5x3                   ...

Q: (B) 84312 (C) 74412 thction (6-13): If CHEST is coded 9s 45723 and BALL is coded as 6899, the follow...

A: Given that  CHEST is coded as 45723 BALL is coded as 6899 To find the codes of some given words.  

Q: Find the solution of y" – y – 6y = 48 et with y(0) = 7 and y' (0) = 3.

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Q: Use mathematical induction to prove the following: 2 1+8+27+·..+ n³ n(n+1) %3D 2

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Q: 33-6 -26] A = 33 8. 21 39 -8

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Q: Qz/ Evaluate the complex integral: dz (z+ 1)(z – 2) where C is: a) The circle Iz] = 3 b) The circle ...

A: Note:- If z =(x+i y)  then z =x2+y2 Cauchy's Residue Theorem:- ∮Cfz dz =2πi sum of residue   Given i...

Q: y"(x) – 3y/ (x) – 4y(x) = 3e2" , y(0) = 1, y (0) = 0. | %3D

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Q: A = -3 4 3 0 -1 1 -3 3 1 4 -3 9 1 3 -1 3

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Q: 8. Let (X, d) be a metric space, and A, B are subset o X, then (i) Fr(A) = A O (A)° = A – int A Avie...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: 1.91 A subset E C R is called closed if and only if its complement R\E is open. (For example, R itse...

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Q: mplex variable

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Q: . Consider the function (x² – 2y)² xª + y? 4, (x, y) = (0,0) (x, y) + (0, 0) f(x, y) = a. Determine ...

A: We can solve this by using the given information

Q: The average product of labor on a fencing crew with 4 workers is 0.6 miles per employee per day. The...

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Q: - Part 1 Graph and shade the points (if any) that satisfy the following system of linear inequalitie...

A: First, we have to make a table for each inequality and then plot the points from the table on the gr...

Q: ated in the graph below?

A: In this equation, the concept of the graph is applied. Graph The graph of a function is the collecti...

Q: 16. Prove: If A is an eigenvalue of A and x is a corresponding eigenvector, then s) is an eigenvalue...

A: We will use definition of eigen vector to prove the result.

Q: =1 using Cauchy's Residue theorem.

A: Cauchy's Residue theorem: Let fz be analytic within and on a positively oriented simple closed conto...