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Q: xpress the polynomial in factored form p(x)=x^3-x^2-8x+12

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Q: A survey of 100 students at New England College showed the following: 45 take English. 47 take…

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

Q: P(x) = 2x² + 3x³ −17x² -27x-9

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Q: A child psychologist is interested in the number of times, x, a newborn baby's crying wakes its…

A: We are given that PX≤1 or X=5=1450 So, P0+P1+P5=1450250+a+b=1450a+b=1250

Q: SITUATION. Given the curve y = x3 - x² -9x + 9 and the x-axis: Find the volume generated when the…

A: The volume made by the full revolution of the area under the curve f(x)=y about the x-axis between…

Q: Find the interval of convergence of the following series 2 3 4 + 7 3 3/5 O Divergent Conditionally…

A: Given series is 23 - 35 + 47 - 59 + ...

Q: 2. Use successive substitution to determine the roots of 2x² + 5xy = 25 x + xy = 30 Initiate the…

A: Solution :-

Q: π Σn=13 + (-1)"+1n! Зе 3"

A: Ratio test: Suppose we have the series ∑n=0∞an Define, L=limn→∞an+1an. Then, (a) if L<1 the…

Q: Expand f(2)= (2-1)(2-2) in a Laurent series valid for the indicated annular domain. (Give all terms…

A: Given function is f(z)=1(z-1)(z-2)          (1) annular domain is 0<z-2<1 Partial fraction of…

Q: Find the Laplace of f(t) = (t− 2)(t+2)e-³t

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Q: Which of the following is a solution of the following equation valid near the origin for x>0?…

A: To find the solution of the given different equation by Frobenius method.  In this method we assume…

Q: Let S be the surface defined by the vector function R(u, v) = (v +4, 4u - v, uv²). Set up an…

A: Given, The surface S defined by the vector function R→(u, v) = v+4,4u-v,uv2 We have to set up an…

Q: Im confused to as where the b came from the original question is "Create a cubic expression, that…

A: As per the question we have to create a cubic expression which when divided by (x-1) will have a…

Q: Find the modulus, argument, principal value of argument, and polar form of the given complex number:…

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: . Let g be the piecewise linear function g(t) = (t-5), t = [0,5) te [5, 10) t> 10. Express g using…

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Q: determine whether the relation R on the set of all reflexive, symmetrical, antisymetric, and or…

A: Option d is correct

Q: Use the second derivative test to identify any critical point and determine what each critical point…

A: Introduction: If f(x,y) is a two-dimensional function with continuous partial derivatives and a…

Q: Obtain the Lagrange interpolating polynomial using all the data points below: x 0.5 1.0 1.5 2.0 2.5…

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Q: 1. Larex is 12 years older than Joneil. Five years ago, the sum of their ages was 28. How old are…

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Q: Which of the following is a solution of the following equation valid near the origin for x>0?…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 6. A-One bakery in Brampton sells 350 fruit cakes slices each month for $3.25 each. They are looking…

A: Given that a bakery in Brampton sells 350 fruit cake slices each month for $3.25 each. A survey…

Q: Given that A = -2 y 0 -5- 14 and B = [2 -3 -3 x _6] find the entry in row 2, column 1 of the matrix…

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Q: Use the method of variation of parameters to determine the general solution of the given…

A: Given the differential equation y4+2y''+y=3sint

Q: r0 3021 1000 2 0 1030 0 -1 α b C d 1 2 1 0 002 2 0(0+1)el ||

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Q: Determine the zeros and their orders for the given function. f(z) = sin²(z) Z = Zero , n = 0, ±1,…

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Q: Evaluate fe e-²²-3² dx, where a > 0.

A: Given integral as ∫0∞e-x2-a2x2dx where a>0

Q: Construct the formal proof of validity for each of the following arguments.

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Q: Pick two of the given functions and determine up to the 5th degree Taylor polynomial: a. g(x) = 2xe*…

A: To find the nth degree Taylor polynomial of a function f(x) at x=c, use the following formula.…

Q: Suppose that X has a continuous distribution with the following probability density function (ke-kx…

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Q: Evaluate the following integral: fic L²₁6 + (6 + 3 cos x) dx a. Analytically b. single application…

A: The trapezoidal rule is used to find the approximation of the integral. It is used to find the area…

Q: 4. Set up an iterated double integral equal to the volume of the solid in the first octant bounded…

A: The region is

Q: 17. Compute d = ged(28, 124). Find integers x, y so that 28x + 124y = d. 18. Find the order of the…

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Q: Find the unknown lengths for the similar triangles below. 6.5 m 8 || y = 11 m 14 m 15.6 m y X m (If…

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Q: Find the order of the element (2, 3) in the direct product group Z4 × 28. Compute the exponent and…

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Q: Let A and B be two events such that p(A) = 0.4 and P(BA) = 0.2. Then P(BnA) = 0.4 0.7 0.6 0.5

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Q: Using polynomial interpolation, find roots of the following functions: f(x) = cos x - x

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 3x 4. Solve y(4) - 3y"" + 2y" = ex using undetermined coefficient. Show all the work. (4) y means…

A: Sol y''''x-3y''' +2y'' =e3xThe general solution to anxyn+...+a1xy'+a0xy=gx can be written…

Q: 6. Evaluate the determinant for the following matrix: O A.8 OB.-2 O C.5 O D.4 3-5 1

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Q: Find the area of the figure pictured below. 12 yd Area = 3 yd 8 yd yd² 2 yd

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Q: a 450 b 45°

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Q: A cup of coffee cools according to Newton's law of cooling (3) in Section 1.3. xT-Tm =k(T-Tm) (3)…

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Q: Solve for y3 using the method of successive approximation. dy =x+y; y(1) = 1 dx

A: We use the picard formula to solve the given equation by successive approximation. We have…

Q: Evaluate S X 2 ex² D dx

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Q: 2. Find f(2.6) by interpolating the following table of values. Using Lagrange interpolation. i xi yi…

A: Given the table is

Q: b) Determine what the Fourier sine series of the function f(x) = { 2x-3 for 0 < x < 1 for 1≤x≤4…

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Q: Tickets are numbered from 1 to 25. 6 tickets are chosen. In how many ways can this be done if the…

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Q: Find the F.T. of the fall wing Signals (functions) * (t) = 1 + cos ( 6π t + T ) 2T ans = F(W) = 2π…

A: Given function is f(t)=1+cos6πt+π8                        (1) Since we know that…

Q: Use symbols (syembolize) for the next lines and construct prooof to the argument   All doctors and…

A: The symbols given are represented as follows, Dx: x is a doctor Dx is set of doctorsPx: x is…

Q: A random sample of 600 students from Delhi University are selected and asked their opinion ab out…

A: Here we use χ2-test for test hypothesis. Formula( χ2-test for Independence of attributes) :…

Q: Determine whether the following sequence converges or diverges. If it 21n+(-1) 7n {an} = Select the…

A: The given sequence is 21n+-1n7n Find limit if the limit n→∞ exists then it is convergent else…