Find the sum of the series: n=0 (-1)"64"-2 n!

Q: Solve the initial value problem. y' + 7y= 1, y(0) = 1 y= (Type an expression using t as the…

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Q: 1. Evaluate the following limits: x³-1 if x < -1 5x²-x-4' 3. Let f(x)=4x² + 3x-2, if-1<x<2 √5x + 6,…

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Q: Prove or disprove the following statement: "For all real numbers x, y, [xy] = [x][y]." (3 marks)

A: Introduction: Two important functions are frequently used in mathematics and computer programming.…

Q: Q6) A-Show that: a) X(f)=X*(-f) 4 To/2 b) if x(t) is even, then b=0, ano/²x(t) cos(2πnfot) dt…

A: Solution : A) a) X(f)=∫-∞∞x(t)e-jftdt X*(f)=∫-∞∞x(t)e-jftdt* X*(f)=∫-∞∞x*(t)ejftdt…

Q: Question 8: (₁²+1 Let f(t) = 5 1²/² + 1/²/² Find the Laplace transform 2|32| 0 ≤t π

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Q: Multiply 874x23 using the galley method. Construct a rectangle for multiplying 874x23 using the…

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Q: 4. (a) Rayleigh's equation is y" + ((u)² − 1) y + y = 0, where is a constant. Show that differenti-…

A: Here given the system of equation u'=vv'=μ1-u2v-u

Q: Given plane z: 3x+2y+z-3=0, point P(1, -2, 3), and lines 1₁:1 and 4₂: (3, 6,-5)+1(2, 3, 1), find: a)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Year Global plastic production (tonnes-year¯¹) 1975 46,000,000 1978 64,000,000 1981 72,000,000 1984…

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Q: Consider the following equations Y₁ = 3x + 4 2y2 = 2x+8 -Y3= x-4 -3y4 = 9x - 12 What do the lines…

A: Given equations of lines are y1=3x+4             (1) 2y2=2x+8          (2) -y3=x-4            (3)…

Q: h that y(t)=x(t)h(t) (1

A: It is given that: xt=ut+2ht=e-2tut

Q: (3 + x, if x ≤ 1 (3-x, if x > 1 Sketch the graph of the given function. 6. Let f(x) = Investigate…

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Q: Let A = {(x,y) = RXR; 0<max{|x-3], ly- 2|}<1}, then: *

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Q: 6) Determine whether FTLI Joye²dx texdy, where 6 is the (-2,-1) a) Yes c) No we cannot use (d) No…

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Q: A tent is shaped as cone. It is 6 feet tall and has a floor area of 16 ft². How much space is inside…

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Q: oves from origin at the curved Path -³x) m

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Q: A promissory note will pay $47,000 at maturity 12 years from now. If you pay $21,000 for the note…

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Q: 5. Consider the sequence defined by the recursive formula AN = 2 AN-1-3 AN-2 and starting with A₁ =…

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Q: du dv Find дх ду 3u²-2v=2x+6y+1 and u- when given, u, v is a function of x, y corresponding to the…

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Q: Use the Sales information above to answer this question. What is the expected profit if Jesaki Inc.…

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Q: Write the Hindu-Arabic numeral as a Mayan numeral. 6491

A: In this question, the Hindu Arabic numeral is converted into Mayan Numerals. Number System A number…

Q: Solve the following wave equation using partial Laplace transform: a²ua²u + sinxx; 0≤x≤ 1, tz0 at²…

A: Introduction: In manage device engineering, the Laplace transformation is crucial. Laplace…

Q: 4. Consider the set R of real numbers and let * be the operation on R defined by a*b=ab-2a. Find…

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Q: Using the Euler method, obtain the value of y(2) with

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Q: 1. Evaluate the following integrals: S; dx -x² + 4x - 3 f) . dx (x − 2)√√x² − 4x + 3 -

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Q: Consider the SIR model with the square root dynamics dS = A-µS - B√SI, dt B√SI - (+)1, dR = 71-µR,…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Limits involving infinity 1. Use graph to find the lim f(x) and lim f(x) of the following function…

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Q: A B Convergent Divergent Use the ratio test to determine whether the series converges. 5+k

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Q: Using the values given in Exercises 1 and 2, verify that b f*f* f(x, y) dy dx = f*f*f(x, y) dx dy. 1…

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Q: Find the value of x. 40 5x-2 55 x = [? ] 6x+6

A: Parallel lines separate the transversals into same proportions. So,  4055=5x-26x+6

Q: B) Integrate f over the given region 1. Square f(x, y) = 1/(xy) over the square 1 ≤x≤ 2, 1≤y≤2 2.…

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Q: Find the inverse Laplace transform of the following functions. (8+1)e-s a) F(s) = b) G(s) = 2 8²…

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Q: (13): p²+q²-2px-2gy + 2xy=0 2) Equ

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: a) Find all the real numbers à such the vectors 1- x 1+x and x+1 1 are orthogonal.

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Q: state explicity which ordered pairs are in A x B and which are in R?

A: The ordered pairs (x,y) such that x∈A, y∈B are in AxB. i.e.  AxB={(x,y) | x∈A, y∈B}

Q: define a new type, give it the name complex(a+bi) it has 2 attributes 2 real number(a and b) a is…

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Q: A pencil cup with a capacity of 33 in.3 is to be constructed in the shape of a right circular…

A: Volume of the cup (V) = 33 in3  Material for sides costs = 29 c/in2  Material for base costs = 46…

Q: π 1 1 + 2 sin² x dx

A: Consider: ∫0π11+2 sin2x dx Now,  tanx =sinxcosx⇒sinx =tanx cosx⇒sinx =tanxsec x So, ∫0π11+2 sin2x…

Q: what is the rectangular form of the final answer?

A: Rectangular form of complex number x + jy

Q: Consider the points as shown in the table below, find fo.fi,f2 and f3 using three points formula. 0…

A: Solution: Apply 3 point formula to calculate differential. table for x and y x 0 0.25 0.5 0.75 1…

Q: (7) Which changes the order integration 2 To Tax Six,y) dydix ? 2X 2 os to lyn Hexy dxdy b) √ ² do…

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Q: If the length of one side of a cube is 4 m. Find its Volume.

A: A Cube is a solid three-dimensional shape with six square faces, eight vertices, and twelve edges in…

Q: Using the Laplace transform and showing the details of your work, solve the IVP: 8. y₁= -2y+3y2, y2…

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Q: prove the following claims: suppose that ƒ is a convex differentiable function, then for any x, ye R…

A: To prove: Suppose f is a differentiable function then for any x,y∈ℝn, the following inequality…

Q: Graph the function f(x) = 2 (3)*+¹ on the axes below. You must plot the asymptote and any two points…

A: The vertical asymptote of the function is the line x=L,The value of function is not defined that is…

Q: 1. Consider the sequence defined by the explicit formula AN = N² +1. a) Find A₁ = b) Find A100 = c)…

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