I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. In(x+1)³ 3. Lim 3 X→∞0 6x

Q: Prove this: A=B iff A° U B = Ω =

A: Solution : First prove left to right, If A⊂B is true , All elements of A are inside B, Then Ac is…

Q: solve each equation in the interval 0<=\theta <2\pi  a)sec^(2)\theta =4 b) sec((5\theta )/(2))=-2

A: solve each of the following equation in the interval 0≤θ&lt;2π (a) sec2θ=4 (b) sec5θ2=-2

Q: 000 SUD 31 (i) y" +4y= 2 cos²x+10e

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Q: In Exercises 1 through 8, find all conjugates in C of the given number over the given field. 1. √2…

A: Solution : Conjugate of a real number is, a number which multiply to , The number and it give…

Q: Part I: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric…

A: This is a problem of application of calculus.

Q: Determine inverse z-transform of the following equations: Z 2² a. b. (z-2)² (z-1)(z-0.5)

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Q: For each of the following, verify

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Q: From a table inside a room with current temperature of 26 degrees Celsius, a left over Fried Chicken…

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Q: Numerical Differentiation: ₁. f(x) = ex 1. COS X 2 Find f(1.5) and step size of h=0.75 and 0.1

A: Given that f(x) = ex - cos(x) -2, Now, we will use Forward Differentiation formula  f'(x) = {f(x+h)…

Q: S. (22² 2. 2 (2x² – 3x) dx

A: ∫25 2x2-3x Apply the Sum Rule:    ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx =∫252x2dx-∫253xdx

Q: Determine inverse z-transform of the following equations: a. (z-2)²

A: We will use partial fraction method and table of z transformation to find inverse z transformation…

Q: 1. LEX

A: Given matrix is L= 3-510.5 -1  3.52 04E= 133j72-j5.5-14jj-1159X = -j3-32 j3ln-j35-j3j123sin j0.2 -…

Q: Find the Fourier transform of the given function. 2A -T f(t) ==t+ A, ²4t+ ≤ t ≤ 0; T 2 2A f(t) = -t…

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Q: Find the determinant of the following matrix- (1 x₁ x² ... x7-¹\ 1 2 x2x² x²2 ... 1 In x² : ⠀ ⠀

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Q: Determine inverse z-transform of the following equations: 2² b. (2-1)(z-0.5)

A: Solution

Q: 3. Let R1 = {(1, 2), (2, 3), (3, 4)} and R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3,…

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Q: Solve the following initial value problem over the interval from t = 0 to 2 where y(0) = 1. Display…

A: To Solve: The Initial value problem is dydt=yt3-1.5y , y(0)=1. (i) Analytically. (ii) Using Euler's…

Q: Numerical Integration: r2 S 1 √x 1. dx

A: We have to evaluate the finite integral. ∫021xdx   Integration formula,  ∫xndx = xn+1n+1+c

Q: 29. A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes…

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

Q: et [a, b] be a real interva b]→X is continuous, the is continuously differentia

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Q: y" − 7y' +6y=−e* [17 cos x-7 sin x] y(0) = 4; y'(0) = 2; -

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Q: 5. There are 2 players who have to decide how to split one dollar. The bargaining process works as…

A: Solution : Let player 1 demands a share of x , Than best response for player 2, to demand 1-x, And…

Q: 7.) John borrowed P4500 cash from his friend. His friend's condition is that he must pay his debt in…

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Q: Consider the IVP: y" +9y = 40e*; y(0) = 5, y'(0) = -2. Find the general solution. (A) y(x) =…

A: The given differential equation is second order linear, homogeneous differential equations with…

Q: Evaluate the following: 25² a. £-1 : + b. £-1 [ s²+25 4-2s c. £1[ | + 4=s? s4+8s +16 353

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Q: Please provide a step-by-step and clear solution to each of the problems below. 1) Parabolic…

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Q: Numerical Differentiation: f(x) = ex 1. COS X 2 Find f(1.5) and step size of h=0.75 and 0.1

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Q: 1. Evaluate the definite integrals using (a) integration, (b) trapezoidal rule, (c) the mid-ordinate…

A: Here we have to evaluate a Integration  :  ∫2612x-1dx                             ⇒12∫2612x-1dx…

Q: Which of the following statements is/are true about non-Euclidean geometries? I. In non-Euclidean…

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Q: 5.1.7. (-) Construct a graph G that is neither a clique nor an odd cycle but has a vertex ordering…

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Q: Using Secant Method in Excel, Given: f(x) = x^3 + 3x^2 - 1 = 0, how many iterations would you take…

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Q: Q1/A/ Solve the following. Choose five only In(x+2) 1. f dx 2x+4 2. f x² ex dx 3. f tan³x dx 12 4. S…

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Q: 3. Prove that if p is a prime >3 then the numerator of 1 + 1/2+1/3+...+V/(p-1) is divisible by…

A: Given: Let us consider the given, r=1+12+13+...+1p-1

Q: ACTIVITY 1. Construct the truth table: (p^ q) → (~pv q) and determine whether it is a tautology,…

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Q: (a) Use the method of Lagrange multipliers to determine the minimum and maxi values of f(x, y) = x²…

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Q: 3. Using the Gauss-Seidel method make three iterations for the linear system x(0) = 0, 4x - y -z =…

A: Solution :-

Q: Use the given information to decide which lines are parallel. Justify your answers with a theorem or…

A: Fact (1) converse of parallel line theorem  The converse of the theorem is true as well. If two…

Q: Message: [-859] [1943] [1060] [O_25] [-7 81] matrix used: 3] -1 3

A: Given: A=12-13 To use matrix A to decipher the message: [-8  59] [19  43]  [10  60]  [0  25]  [-7…

Q: d²y 5. Consider the differential equation dy 6- +9y = 9x + 3. dx dx² (a) Find the general solution.…

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Q: Summarize what happens in their relationship. (Hint: Think about the eigenvectors. Be sure to…

A: As per the question we have to explain what happens in the relationship (dynamic system) as time…

Q: 2. Consider the surface f(x, y) = x² + y² = x² + 2xy - y² - a) Find all critical points of f (Hint,…

A: As we know a saddle point or minimax point is a point on the surface of the graph of a function…

Q: d²y (a) Solve the differential equation +y dx² y'(0) = 0. got up (4) pap = sin(x) + cos(x) with y(0)…

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Q: 8.M.2 One can define a bilinear form on R2 by the formula ‹ [ 8 ], [ 8 ]› = ac − 3ad − 3bc + 7bd. a)…

A: We have to find the Gram matrix G of the given bilinear form. Then, we can proceed further.

Q: (b) Pak Majid sells three grades of eggs A, B and C. The total price of a grade A egg and a grade B…

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Q: Find the volume of the region under the surface z = corners (0, 0, 0), (6, 0, 0) and (0, 3, 0). 824…

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Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

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Q: 4. (Number Theory) Simplify the following complex fraction: x-y x+y y I-y I + y y

A: Solution

Q: 3. Consider the double-integral 2 2xy² + 2 dx dy where D is the triangle with vertices (0, 0), (5,…

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Q: Find the Fourier transform of the given waveform. A1) -2 -1 1 0 1 2 (s)

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Q: Find the intervals of increasing, decreasing, and concavit min. and inflection points, for f(x) = x²…

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