Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 9t5

Q: 3.10 Determine the number of terms necessary to approximate cos x to 8 significant figures using the...

A: The Maclaurin series approximation for cosx is as follows: cosx=1-x22+x44!-x66!+x88!-..................

Q: Find the standard matrix of a linear transformation T : R³ R' that rotates each vector counterclockw...

A: As per the question we have to find : The rotation matrix R which rotates the vectors counterclockw...

Q: int of (cos2x - sin2x cos2x / cosx - sinx) dx = 1/3 F(x) + C. What is F(x)   Please include explan...

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Q: Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How...

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Q: 1.T.2 Let V be the set of all twice-differentiable functions f : R → R satisfying f"(x) = f(x) – 5. ...

A: Let, f and g be two functions in V.  Then,        f"(x) = f(x) - 5       g"(x) = g(x) - 5.

Q: Determine the temperature at the interior node x = 6,y = 2 estimated after 2 iterations in the follo...

A: Given: Let us consider the temperature at the interior node, x=6  &  y=2.   and from the given f...

Q: Let S be a set. Suppose every function f: S → S also has an inverse function f−1. Prove or disprove ...

A: Let S be a set. Suppose every function f: S → S also has an inverse function f−1.We have to show tha...

Q: If a = i+ 3j + k and b = i+9j + k, find a unit vector with positive first coordinate orthogonal to b...

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Q: 3. Congruence Let a, b, c > 0, m 2 2 be integers. Prove that a = b (mod m) implies that ac = bc (mod...

A: given that a≡bmod m where m≥2 a≡bmod mm/b-a (using definition) now m/b-a now using the result a/b th...

Q: Discrete Math Let a be an odd integer. Show that (a) 8 | a^2 − 9; (b) 16 | a^4 − 81.

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Q: Sove for the laplace tran« form y Ct) = 5e - 2t COS 6t fCt) = 3 -4t C1- 3t + 2t2) f Ct) = 2 (3t -5)?...

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Q: 1. Div and Mod (a) Find the quotient ("div") and the remainder ("mod") when: (i) 23 is divided by 6 ...

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Q: Read and ansua Hhe Bilawng aneshans below ļi 1 find a basis for the saluhan sct of X-y+Zz-w= 0 -x+2y...

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Q: the sum of the digits of two digit number is twelve. if the units digit is thirteen less than four t...

A: Let x be units digit  and y be the tens digits therefore x+y=12 also x=4y-13 solve both the equation...

Q: Mike has the cartesian coordinates of a point which is (-1,-V3). Help Mike find the polar coordinate...

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Q: Topic Polygonal Numbers. Find P6

A: A polygonal number is a number represented as dots or pebbles arranged in the shape of a regular pol...

Q: 4. Determine one real root of 8 (sin x) e-a – 1 = 0 with Xo = 0.30 using Newton-Raphson Method until...

A: Given, f(x)=8(sin x) e-x -1 We have to find one real root of given function using Newton-Raphson Met...

Q: e-4s 17. Y(s) = s3

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Q: X1 + 2х2 — Хз — 2х4 — 2 a) Find the solution set of the linear system:{2x1 + x2 – 2x3 + 2x4 = 1. (x1...

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Q: One way to to characterize a geometric series is that the ratio between successive terms is constant...

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Q: Find the average value of fover the region, D, where f(x, y) = xsiny, and D, is the region enclosed ...

A: Given:The function f(x, y) = x sin y over the region D enclosed by the curves y=0, y = x², and x =1....

Q: Let the Universal Set, S, have 127 elements. A and B are subsets of S. Set A contains 94 elements an...

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Q: Using the follang matrixg answer the queshins berow a bc de f la-2 ghi a 2b+C c A) 2 d 2e+f f B) ~2 ...

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Q: Find a basis for the subspace of Rª spanned by S. S = {(2, 9, -2, 53), (-4, 2, 4, –2), (8, –4, -8, 1...

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Q: Let A be the subspace of Bac Ceing 6x6 Lef all matrices whos are zero, figure out matrices) censisti...

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Q: Use Newton's method to find the root to the nearest thousandth. V55 (Round the final answer to the n...

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Q: Show that the function f: N→N, defined by x + 1, if x is odd f(x) = x – 1, if x is even is one-one a...

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Q: If a1, a2, a3, ..... , an are in AP witn common difference d (where d + 0) then the sum of series : ...

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Q: 2. Calculate the inverse of the matrix A A = 4 3 7 330 103

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Q: Solve and find fixed paint 3 and find equilibrium point ? 1) Xn+i

A: This is the problem of dynamical system.

Q: 7. Use the Gauss-Jordan Elimination Method to solve the equations below 3x + 4z = 5 x + 5y + 2z - 5 ...

A: Given equations are3x + 4z = 5       →(1)x + 5y + 2z = 5 →(2)7x + 2y + z = 2 →(3)

Q: 01/ Find the missing term in the following table using interpolation: 2 4 y: 81

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Q: If A = {x:xEN, x is a factor of 6} and B = {x eN:x is a factor of 8} then find (i) AUB, (ii) ANB, (i...

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Q: Consider the following system of linear equations. Define a symbolic equation representing each equa...

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Q: . The solid cylinder that lies on or below the plane z or above the disk in the xy-plane with center...

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Q: Let A and B be sets. Fill in the blanks to define precisely what it means for A to be a subset of B....

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Q: 2: find fr, fy, and fz. 9 f(x, y, z) = 1 + xy? - 222 5 f(x, y, z) = x - Vy² + z?

A: (a) Given f(x, y, z) = 1 + xy2 - 2z2 So fx = ddx(1 + xy2 - 2z2)    = ddx(1) + ddx(xy2) - ddx(2z2)   ...

Q: (x +1)"+1 Ln=0 2" (n+1)

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Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given ...

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Q: Consider the pair of differential equations dx 1 dt dy Y, x² – y?. dt (a) Find all the equilibrium p...

A: (a) The equilibrium points of the system of the differential equation are given by  x'=0, y'=0 (b) N...

Q: COs 2 dydx (4) LL. r1 1 dydx x4 + y²

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Q: Salve the Follasing improper integralis 2) dx

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: In the last several weeks, 12 days saw rain and 19 days saw high winds. In that same time period, 10...

A: given 12 days saw ain  19 days saw high winds  10 days saw both ( rain and high winds )

Q: 2.Form the differential equation from the family of curves y² = Ae³* + Be* , where A and B are arbit...

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Q: 20. If A is a square matrix such that some row of A² is a linear combination of the other rows of A²...

A: Important facts:-

Q: 45. In any triangle, a circle can be drawn tangent to the three sides. A. false B. it depends C. tru...

A: Every triangle has a incircle. And incircle is a circle in triangle touching all three sides of a tr...

Q: 01/ Find the missing term in the following table using interpolation: 2 3 4 y: 81 ...

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Q: How does mL=(M+m)D simplify to m=M (D/L - D)?

A: Solve the equation

Q: (a) How fmany identiication number are possIDle 100000000 numbers (b) How many of them begin with ei...

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