A quiz consists of 8 multiple choice questions, each with 5 options.  In how many ways can a student answer the quiz? ANSWER____________ WORK_____________

Q: Ra0+Q = E(t). dt

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Q: Q6) Using the Newton's forward difference interpolation formula evaluate f (2.05) where f (x) x, usi...

A: For the solution of the problem follow the next steps.

Q: 1. Consider the relation < on the set {1,2, 3, 4}. Write down this relation as a set of ordered pair...

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Q: Find the area of the region that lies inside the r = 2 + cos 2θ but outside the curve r = 2 + sin θ

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Q: There is an ant on a circular heated plate. The plate temperature is given by f(x, y) = y² – x² + 12...

A: Consider the function fx,y=y2-x2+12, with equality constraint x2+y2=121 (since the radius is given t...

Q: The temperature distribution of a long, thin aluminium rod with a length of 12 cm can be determined ...

A: The heat equation k∂2u∂x2=∂u∂t---1 is given with k=0.835cm2s-1, ∆x=2cm, ∆t=0.1s, t≥0. The B.C's are ...

Q: SOLVE THE FOLLOWING dy dx 4x2-4x-5 2= /(x2 – 2x + 3) 2. dy 3. dx x+1 1.

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Q: dy 4 – 5y = e-3t sin(4t) ; y (0) = 3, y (0) = 10 dy %3D - dt?

A: We solve the given IVP  y"-4y'-5y=e-3tsin(4t)........(1) y(0)=3, y'(0)=10.......(2)

Q: Suppose Sf f(x)dx = 2 and f' g(x)dx = 7; find f*16 – 2f(x)dx] 14 O 40 O 31 O 24

A: Given ∫14f(x)dx = 2   and∫14g(x)dx = 7

Q: 4. у %3D 3?x — x tan z + xz || |

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Q: What is the Laplace transform of f(t) = te' ? AJ F(s) = s+ es %3! B] F(s) = 1/(s–1)² c] F(s) = 1-s/s...

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Q: 2. Solve the following initial value problem in terms of g(t): y" – 3y + 2y = g(t) : y(0) = 2, y'(0)...

A: We can solve this using given information  

Q: 2. Define a function f : N → N by the rule f(n) = Lyn]. Write down the set PreImf({2,3}) in roster f...

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Q: Determine the root (if they exist) at the given interval for the equations as shown: x4 – 28x³ + 288...

A: The given equation is: x4-28 x3+ 288 x2-1116x+1296=0 To find the root of this equation we use Bisect...

Q: -12 3 3 3 3 -12 3 3 -12 3 Evaluate 3 3 -12 3. 3 3 3 -12 O A. 123 O B.-12 OC.No correct answer O D. 1...

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Q: Find an equation of the sphere satisfying the ff. a. The vertices of a cube are on the sphere, side ...

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Q: If(z)- 니 < e. By definition Show that: lim, »1+i = - а. b. 4 lim = 2i. %3D 2- 1-i z2

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Q: Produce the linear minimax approximation to f(x) = ln (x) on [1,2). Graph the error, and compare it ...

A: Given function f(x)=lnx We have to graph the function on the interval [1,2] and compare it with the ...

Q: (a) Find the rank and nullity of th4e following system of linear equations: x, +2x, - x, +4x, =0 2x,...

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Q: Use Alexander Hamilton's Method method to solve the following problems. 1. Consider a country with f...

A: Here given In a country with 5 states having 40 seats in congress, And other information is given in...

Q: 2. Given matrix M below, [sin? A sin A cos A cos? M = sin? B sin B cos B cos² B Isin? C sin C cos C ...

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Q: 3. The following row operations were applied in order to a 3x3 matrix A to get matrix 2B. Compute de...

A: The following rules summarize the effect of an elementary row operation on the determinant of a matr...

Q: By using matri x inversion, Solve the following -2.04 G + O. 0- 2.04 . +0, 0 - 300 2.04 O, +Oy -o O,...

A: Note :- Here we consider Q1=a, Q2 =b, Q3=c Q4 =d, Q5= e.  Now Converting problem into Matrix Form 

Q: frave that fux=X xefos4] is Rinteglable and find ff Ly

A: Given a function f(x) and consider the partition P and then calculate U(f,P) and L(f,P) and then fin...

Q: a2/ Using Newton's divided difference fonmula, find the missing value from the table: 4. 6. 14 15

A: Solution

Q: Find the approximate root of x^3+5x-2=0 by using bisection method. Typed solution needed otherwise ...

A: Given,            x3+5x-2=0

Q: Find the length of the curve in the picture given in polar form.

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Q: Suppose three events namely A1, A2, and A3. Show that P(A, U A, U A, ) = P(A,)+ P(A,)+ P(A,) iff P(A...

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Q: ( optional). Let f be continuous on [a, b] and differentiable in (a, 6). Show that if lim f'6) = A, ...

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Q: Find the volume of the solid formed when the area of the region bounded by the curves x2- 3y=8 and x...

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Q: (c) Determine the definiteness of the quadratic form q(x) = xỉ + 2/6x16x2 + 2x3

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Q: at the one-dimensional and n are constants.

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Q: 2. Set up triple integrals in cylindrical coordinates that compute the volumes of the following regi...

A: Given, Different regions bounded by different surfaces. To find:  Set up triple integral in cylindri...

Q: Let a, b, c e R with a < b < c. Suppose that f is uniformly continuous on [a, b] as well as on [b, c...

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Q: d'y - 9y = e3* + sin 3x dx?

A: Given differential equation is d2ydx2 - 9y = e3x + sin(3x)

Q: A man borrows Rs 8160 from a finance company and has to return it in two equal annual instalments. I...

A: sum borrowed = Rs  8160  the loan is to be paid back in 2 equal annual instalments  let each annual ...

Q: In x 3. Compute the approximate derivative of f(x) = · at x = 2, using three-midpoint x² + 1 formula...

A: Given is a function and at a point at which the approximate value of first derivative of the functio...

Q: 1 -5<t<0 f(t) the value of b, is - +t 0<t<5

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Q: (e– 1)y' = 2 + cos.x -

A: Let us consider the differential equation of the form dydx=f(x)g(y) Rewrite the equation as 1g(y)dy...

Q: 00 2n-1 n-1

A: Simplify the given expression by dividing both the numerator and denominator by n2. n2n22n-1n2=12n-...

Q: Last year, 1,460 calculators were returned to the manufacturer. If 83,000 were produced, assign a nu...

A: Given: Total number of calculators produced=83,000 Number of calculators returned=1460

Q: Use Thieoi to find (E)}. (Write your answer as a function of s.) f(t) = 3t2 4 sin(5t) L{f(t)} = %3D

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Q: Assume that a circular pizza is being cut into pieces. If there are C cuts and I point of intersecti...

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Q: A periodic function of period 2n is defined for 0 1) u÷- x- 2π ( 5π< x < 2π) Sketch f (x)for (-27 <...

A: Given: Let us consider the given  function, fx=x0≤x≤12π12π12π&lt;x≤π-12ππ&lt;x≤32πx-2π32π≤x≤2π

Q: . Find the missing values in the following table : x: 45 50 55 60 65 y: 3.0 2.0 -2.4

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Q: A particle of unit mass is projected so that its total energy k in a field of force of which the pot...

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Q: Consider the matrices A1 A2 A, - || Let S = {A1, A2, A3 }. Which one of the following statements is ...

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Q: Find all zeros of the function f(z) = 1 + 32- 22 - 2. a. Give a brief description of the steps you u...

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Q: Use the field norm to show: b) -1+v-3 is a unit in Z [1+ -3 ] 2 2

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Q: The author spoke with a representative of the U.S. Postal Service and obtained the following informa...

A: Given:  five-digit zip code, the first four digits can be any of the digits 0–9 and the fifth any of...