Question 6 Evaluate 30 Z 80° 10 Z 50° A) 34130° B 3230° 202130° D) 20230°

Q: Obtain general solution of the D.E. y' + (1/3)y = e%y4

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Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If yo...

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Q: 2. Let x+1 r -1 Determine if lim f(x) exists. r-1

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Q: Graph the following y=2−1/3cos⁡(πx+3π/2),  -1/4  ≤ x ≤ 15/4 please show ALL work, including a tabl...

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Q: What is the value of c in the geometric series 24 + b +c +d+ e +f+. .. if the sum of the series is 4...

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Q: If the resultant of the loads shown passes through point B, determine the equivalent force-couple sy...

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Q: 5. Consider the function f(x)=e*, calculate df/dx with finite difference using forward and central d...

A: We can solve this using formula of central difference and 

Q: For the next three questions, consider the following differential equation: (2y sin r cos r- y + 2y?...

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Q: Two processes can be used for producing a new engine. Process A will have a first cost of P750,000, ...

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Q: 1. Consider the initial value problem dy 3 = 3t + 2e*, dt y(0) = Yo- Find the solution to the initia...

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Q: Find the derivative by the definition of each of the following functions: - 1- y = 2x2-3x 2- yv1+2x

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Q: Obtain general solution of the D.E. y' + (1/3)y = e*yª A 1/y³ = e* (c – 3y) B 1/y³ = e* (c – 3x) с) ...

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Q: Paul has $30000 to invest. His intent is to earn 10 % interest on his investm at 6 % and part at 11 ...

A: Introduction: A percentage is a number or ratio that can be expressed as a fraction of 100 in mathem...

Q: Obtain general solution of the D.E. y + (1/3)y = e'y A) 1/x = e (c - 3x) B 1/y³ = e* (c - 3x) 1/y = ...

A: The given equation is Bernoulli equation we will solve this by substitution method

Q: 6. " If Alexander exists or x? – 2x + 1 = 0, where x = 1 then it is not true that 1+1 = 3 and mouse ...

A: This is a problem of propositional logic.

Q: 2 3 4 3 2 3 2 1

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Q: QUESTION 2 Over time, the number of Americans celebrating Halloween has increased. The bar graph bel...

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Q: determine its root using newton-raphson method. Start at x1 = 0 and carry out the first 5 iterations...

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Q: 4. Find the root/s. (Use Fixed-Point Iteration) • x*-x- 10 = 0

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Q: 5 -3,ã3 = Let đ1 = a2 = 9. (a) Calculate žā1 – žā2 and comment on what you notice about the result i...

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Q: A container initially contains 11 L of a salt solution. Water flows into the container at a rate of ...

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Q: A design company manufactures two types of modulars: Modular A can be manufactured in 15 hours while...

A: We have to form a Linear programming and then solve it graphically to get optimal solution   

Q: Find the given inverse transform (1) c{ (i) L-1 s2 + 6s + 1 1 1 (ii) L-1 |(s – 1)3 ™ s² + 2s – 8

A: The Laplace transform of a function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt. If F(s) is the Laplace t...

Q: Determine the n- and t-components of the force F which is exerted by the rod AB on the crank OA. Eva...

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Q: Prove the following formula for all n E N by induction: 1+ 2·2 + ... +n· 2"-l = 1 + (n – 1)2".

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Q: 15. Let {fn} be a sequence on C([a, b]). Assume that fn (x) 2 fn+1(x) for all x E [a, b]. Show that ...

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Q: ove the following formula for all n e N by induction:

A: Introduction: If integer 1 belongs to class F and class F is heritable, then every positive integer ...

Q: [16 6 5 12 If we multiply matrices B =|1 11 and C = |-9 1 -5 , which of the following is 8 14 6 -11 ...

A: Given B = 16-711138andA = 6512-91-5146-11

Q: Find the area of the region bounded by the graph of

A: GIven,          f(x)=abx-x2, and  g(x)=cx Here,        a = 4, b =8, and c = 5

Q: ete solution and determine what property use Determine the solution of the differential equation giv...

A: We have to find the solution of differential equation using Laplace transformation.

Q: d³y + 4x². d²y +sin sin 2x dx2 dy 1. dx3 dx =sin sin y 2. y*dx + (2xy +lIn In y )dy = 0 d²x 3. (4y? ...

A: Solution 

Q: Ruby’s dog has 8 puppies. The puppies include 2 white females, 3 mixed-color females, 1 white male, ...

A: Given: Ruby's has 8 puppies. The puppies include 2 white females, 3 mixed-color females, 1 white mal...

Q: Find the limit. Enter DNE if the limit does not exist. x²y lim (x,y) → (0,0) x² + 14y2 II

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Q: If G is a group and g E G, the centralizer of g E G, is the set CG(g) := {a E G : ag =ga} that is, i...

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Q: 24. y"+ 9y = 0; y(0) = 1, y'(0) = 1

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Q: Find the two square roots of 4i. A v2+ v2i and v2- V2i B v2-v2i and -V2- V2i © v2- V2i and -v2 - v2i...

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Q: Prove the following formula for all n EN by induction: 1+ 2·2 + ... + n · 2"-l = 1 + (n – 1)2".

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Q: ´0 -1) A= |0 1 . 1 2 3 4 1 1 -2 1 and B= 1

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Q: Use a direct proof. Let "a", "b", and "c" be integers, where "a" is not equal to 0. “if a|b and b|c,...

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Q: 1. Determine if the statement is true or false. If it is true, explain why. If it is false, provide ...

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Q: MULTIPLE CHOICE) Which of the following statements is(are) true? (A) y = e is a solution of the DE y...

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Q: z eaz dz 1 6. Evaluate 2ni is a real constant. where C : |z| = 2 described once in the anticlockwise...

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Q: 3.Find the rank and nullity of the matrix A by reducing it to row echelon form. -2 1 -3 1 3 A = -2 1...

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Q: + k?y = 0 dx2 What type of D.E. is this?

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Q: Exercise 8.7.14. (a) Prove that any inverse of a bijection is a bijection. (b) Show that the inverse...

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Q: 2. (a) Write one of the four vectors 3. 8. as a linear combination of some or all of the others. (b)...

A: a

Q: Calculate the value of x, y and z. (Use Gauss-Seidel Iteration) • 12x + 3y – 5z = 1 • x+ 5y + 3z = 2...

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Q: Problem 3: Prove that between every two rational numbers a/b and c/d a) There is a rational number. ...

A: Solution: Part (a) A number p is defined as a rational number, if p can be expressed in the form of ...

Q: Find the third iteration value of an extremum (maximum/minimum value) of the picture if a = 4, b = ...

A: We can solve this using newton raphson method

Q: + k?y = 0 ... What type of D.E. is this? Linear, Ordinary B Nonlinear, Partial Linear, Partial Nonli...

A: The given differential equation is  d2ydx2+k2y=0 ......(1)Defination : General form of a 2nd order l...