Consider r² – 2x +1 if r < -1, if - 15r<0, f(x) = {r+1 if 0 1. Determine if the following functions are continuous on the interval I. (b) I = [- 1,0]

Q: 4. Let f (x) be a polynomial of unknown degree taking the values 0 1 2 3 f (x) 2|7 | 13 |16 All the ...

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Q: 1. What is the resultant of the following vecto Va = 85.5 m, 56 degrees east of south Vb = 45.3 m, 3...

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Q: Consider the function f (2)= +-z Which direction is a descent direction at z (1,1)?

A: This is a problem of vector calculus.

Q: Find the root of the function using newton’s method.

A: Note:- In given problem, you mentioned Newton's Method but didn't mention exact equation or function...

Q: Q1.A: Find the area of the shaded region shown in figure (1). y = 1 y = x2 x 1+ y2 Figure (1) y = -1

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Q: Complex Numbers: Find the roots. z° = 4i

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Q: B. Mrs. Cachia gave the following question on a test: Simplify 5 + 7.

A: clear explanation is given below

Q: 2. sin3 350at

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Q: P(1,0,4), Q(2,4,6) and R(-1,3,6) makes up a triangle find a. perimeter of the triangle b. area of t...

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Q: Consider the linear system -2 %3D dt 0. (a) Determine the type of the equilibrium point at the origi...

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...

Q: 4- find the absolute max.and min. o f the function f = x² +y? Plate boun ded by = x +y? on the close...

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Q: Given the following points: P (1, 0, 5), Q(3,5,6) and R(-1,2,8) makes up a triangle. Find the follo...

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Q: (D) Drawing Slope Fields - Examples dy. Draw the slope field for dx

A: The given differential equation is: dydx=x+y The derivative of represents the slope of the tangent l...

Q: The sequence is equal to the sequence n+1 n = 3 (1 2 3 4 2'3'4'5 True False

A: It is given that the general term of the sequence is nn+1n=3∞. We have to check whether the general ...

Q: Determine the roots of the complex numbers discussed in class. 1. z3 = -2 2. z3 = -3

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Q: Find gcd(2,3+5i) in Z[i], ii. Show that 3 + 4i and 4-3i are associates in Z[i] iii.Determine the spl...

A: (i)

Q: Prove that then the sequence {"(1+i) belongs to l1. n3"

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Q: A clamped beam of length 3 is modeled by: y(4) = 24, y(0) = y'(0) = 0, y(3) = y'(3) = 0. Solve the p...

A: The given differential equation is y4=24, with y0=y'0=0 and y3=y'3=0 Now we integrate the given equa...

Q: Using binomial expansion, prove that z3 = [r (cos 0 + isin 0)]³ is equal to r° (cos 30 + isin 30).

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Q: Use De Moivre’s Theorem to find the identity of the following:

A: Introduction: DeMoivre's theorem is very important in complex analysis. It makes a relationship betw...

Q: If A = log (-5), B = V-i and C = i', solve for A + B + C. Express your final answer in exponential f...

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Q: 12. For what values of k, will the equation 3x? +4x + k = 0 have two equal roots?

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Q: Evaluate L{3e cos 10r cos 41. S+1 s+1 A. 2 (s+1) +16 (s+1) +100 S-1 S-1 B. 2 (s-1) +16 (s – 1) + 100...

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Q: Using MOSS, find the roots of x3-3x+1.

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Q: п (4x)“ a ) Σ 2 п п-1 8

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Q: System of Linear Equation No. 1 Given: More equations than variables X - y + 2z = 4 + 3z = 6 2x - 3y...

A: Since  you have posted a multiple questions according to guildlines I will solve first question for ...

Q: Perform the transformation. write csc X in terms of sec X. A.)土VSCC2メー1 B.) Isecxvsec? X-1 C.) I J s...

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Q: The probability density function of a random walk with constant diffusion D in 0 <x <L is P(r,t) = N...

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Q: 10. For the following pair of functions, i) functions intersect (by calculating and stating the poin...

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Q: 1. Calculate the Laplace transform L{(t² – 4) sin(t)}.

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Q: Find the cube root of -8i

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Q: p(x)}. Find the dimensions of W1, W2 and Wı0 W2. 3. Determine the following for the matrix A. (a) Fi...

A: Note that the following is written as text at the top of your question post: "Please a and B part of...

Q: Answer this question For a quadratic equation ax? + bx + c = 0, D = b² – 4ac is called the discrimin...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Let X be a random variable with p.d.f f(x) = c+ 1.2x2,0<x< 1. Find a constant c if E(X) = ! 0.6 0.4 ...

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Q: O Find a root of the equation tan x = 4x correct to 3 decimal places, xo = 1.5 %3D

A: Newton Raphson Method:- for a function f(x) the root is xi+1 =xi - fxif'xi; i=0, 1, 2, ....   Given ...

Q: Consider the points A(1, -2, 4), B(2, –4, 1), C'(-1, –3, 1), and D(3, 1, –5). (a) Find the volume of...

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Q: Consider the following planes. -бх + у + z %3 б 12x – 2y + 6z = 36 (a) Find the angle between the tw...

A: Given planes are  -6x+y+z=6 12x-2y+6z=36 (a) We find the angle between the two given planes.

Q: Specify c-1, Co, Ci and p such that the formula c_1u(x – k) + cou(r) +cu(z+ k) u'(2) 2 denotes the c...

A: This is a problem of Numerical Analysis.

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: Question 1 Let W be the set of all vectors of the form (x, y, z) where y=x+z+ 3. Determine whether W...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: QI Find lim,o+ sin(x)tan(x) O 0.3

A: Introduction: When we determine the limit of a function whose base and exponents both contains a fun...

Q: 1) f (x) = 10.09x² + x4 + 17.64 2) f(x) = x3 + 9 %3D

A: We will use Muller's method to find the root of each of these equations using Muller's method.

Q: Let f and g be arithmetic functions. If f(n) = Eg(d) %3D ulp for all n, then %3D d|n d|n for all n.

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Q: Solve the ODE: (x² – y²e² )dx + (x² + xy)e#dy = 0.

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Q: Siven the following: 00 5(-1)"x2n '(-1)"x²n cos(x) = for all x E R (2n)! n=0 ) Find a power series t...

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Q: If n 2 1, then the Fermat number Fn 22" +1 is prime if and only if %3D 3(F.-1)/2 = -1 mod (Fn).

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Q: Let M be a 10 x 10 real matrix such that M² = M and the determinant of the matrix cannot be 1. Does ...

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Q: 4. Determine the eigenvalues and eigenvectors of the following matrices: (a) (b) (-1 -1 CS Scanned w...

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Q: nating the function ntire interval [a, b], range's interpolation ted with the inter-

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