The leading coefficient of the polynomial + 4x^12 + 4x^6 + x^4 – x is * 10 12 4

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Q: an you give 2 expressions on each of these topics? easy and hard one • Differential Equation with Co...

A: To give the two expressions on each of the topics; A differential equation with condition.

Q: 6. Use algebra to determine whether the following function is even, odd or neither. a) f(x)=55x+-x²–...

A: (a) If we put -x in place of x, then we get,        f(-x) = 55(-x)4 - (-x)2 - 78               = 55x...

Q: Q5 vector field, In Cartesian coordinates, a vector field takes the form F = 2rzi+ 2yz j+ (r? + y) k...

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Q: 5.13 A square matrix is a matrix that has an equal number of rows and columns. In mathematics, m x m...

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Q: ( ) - - H) (12 (a) Using Gaussian elimination, find a vector v such that 12 (b) Give an example of a...

A: The system of equation Ax=b has a unique solution if rank (A) =rank(A|b) =number of variable.  And h...

Q: Let P(x)=-x3+2x1²-6x²-5x+-1 and D(x)=x+1 Determine the remainder when P(x) is divided by D(x)

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Q: 2. Recall that the characteristic function of a set E is defined as I is in E 1, Xe(z) = { 0, z is n...

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Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

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Q: 1. Solve the eigenvalue problem dr? with boundary conditions $(0) = 0, $(1) = 2 (1). do dx You can l...

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Q: 22 of 25 A moving company charges a flat rate of $650, and an additional $4.95 for each box. If an U...

A: Correct option is - C  

Q: 1. Let f, g : R" → R and let 9(t) = f(t, x2, ..., an) and (t) = g(t, x2, ., Tn) where x2, .., Tn are...

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Q: A curve is given in polar coordinate as r=R(f). What is its curvature? Find it in terms of R,R' and ...

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Q: Consider the following system of linear equations. 5x+20y=-10 -6x-28y=12 Solve the system by complet...

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Q: Write the following in index notation: v, V·e,, v·e, .

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Q: Suppose x satisfies the three simultaneous congruences X = 4 (mod 5) x = 7 (mod 8) X 10 (mod 11) Sin...

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Q: 1 3? 4 1 1 5' 6 1 Find an explicit formula for the sequence , -,- 2? ..

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Q: Suppose that ABCD is a parallelogram, and В 3 (-1,5), A = (-4, 1), C = (3,0), D = (a, -2) %3D What a...

A: Consider the figure as follows we know that diagonals of parallelogram bisect each other therefore ...

Q: Q2. Use Newton the forward-difference formula to construct interpolating polynomials of degree one, ...

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Q: - 48x3 – 80x2 – 70x – 126 dx Integrate: 16x2 + 25 + C

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Q: 10. Prove that 7/2 TC sin 0 cos (cos a cosec 0) de 2-a (1-cos a). COS

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Q: a) Draw an accurate graph of the portion of f(x,y) that is above the xy – plane. b) Describe the 2D ...

A: We have to graph the function.

Q: Consider the sequence r - 7 Xi+1 = x; i = 0, 1, 2, ... (1) To what value does this sequence converge...

A: Given: xi+1=xi-xi5-75xi4, i=0, 1, 2, ... To find: (1) To what value does this sequence converge. (2)...

Q: f (x) = 5e0.5x at X = 2, find the relative approximate error using value 1. Given from h = 0.25 and ...

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Q: Let f: ZxZ → Z×Z be defined by the formula f(x, y) = (2x+3y, x+2y). (1) Find the inverse map g = f ^...

A: Since f is a linear transformation and f is a linear operator. So if f is one to one then imply f is...

Q: Question 8 * For a given function f(x), the divided -differences table is given by: S [xo]= -1 S[x]=...

A: To find the required approximation, we will use Newton's Gregory's formula

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Q: 4. Let n E N. Find all elements a Zzn+1) of order 2.

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Q: nethod; Inz VUna)-y

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Q: 4dx Evaluate the indefinite integral. , and 3 e 2х V1-3 е-2х • Identify what is the u=? and du=? Sho...

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Q: 3

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Q: Given the function h(x) and the following information: 1. h(-8) = 7 2. h'(x) > -9 on [-8, –1] Which ...

A: We can solve this by using fundamental theorem of calculas

Q: ze + 20 Donit make itake

A: Given x + y = 2   and  y = 312 = 72

Q: 4. Prove that given any integer for n, n3 + 2n will be divisible by 3.

A: We have to prove by induction.

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Q: x sin wx dx x2 + 6x + 10 Show that (2 sin 3w – 3 cos 3w) w > 0 %3D - 2e2w

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Q: Explain why the integral is improper. 12 | x - 3)3/2 EMaple Generated Plot O At least one of the lim...

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Q: onsider the series (In(2n + 1) - In(2n 1)). n=1 ) Let an = In(2n + 1)- In(2n - 1). Does {a,} converg...

A: We will first see whether given sequence in (a) convereges or diverges.

Q: A tank holds a 42 liter solution of alcohol and salt. Initially, the solution contains 5 grams of sa...

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Q: 3. Induction is a variant of induction, in which we assume that the statement holds for all the valu...

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Q: A company is considering expanding their production capabilities with a new machine that costs $61,0...

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Q: hio s nose length this phenomenon with the equation ches) is dependent on his lie count s. Geppetto ...

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Q: The temperature T (in degree centigrade, "C) in a solid metal sphere is given by the function e Answ...

A: Given T(x,y,z)= e-(x2+y2+z2) 1)The rate of change of temperature in the direction of X-axis is ∂T∂X ...

Q: 2. Pinocchio's nose length y (in inches) is dependent on his lie count s. Geppetto has modeled this ...

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Q: (2) Can you translate this into words? Please explain the solution in detail because I'm going to ma...

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Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Give its interval of convergence. Approxi...

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Q: z + 29; The value of integral (cosx,5z",6z+z sin x)·(x,y,z) ds where s is the surface of sphere x² +...

A: Please find attachment for the details solution 

Q: 00 20 000 1 0 00 2 C = 2000 0 010 0100 y D = 0 200 1000

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Q: Task 1. Using the Eigenvalue method, solve the system x' = Ax for 1 0 -1 0 0 0 2 1 Show that some (n...

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