Find T(t) and N(t) at the given point. r(t) = (t – 6)i + tj; t = 6 T(6) N(6) =

Q: Aayush and Abbey have the following system of differential equations da dt -5 x + 12 y dy = -2 x + 5…

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Q: A=18, B=22 Give a 2x2 matrix that will project any point (x, y) on to the line going through (0, 0)…

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Q: QUESTION 3 Use the eighteen rules of inference to derive the conclusion of the following symbolized…

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Q: Question 3: Obtain the solution set of the set of linear equations given below by using the Gaussian…

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Q: (A' OD) NB a. b. (В-D)' NА

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Q: f(x) = (x-3)(x+1) (x-2)(x+2)(x+1) %3D

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Q: True or False You do not need to justify your answer: (a). There is a solution to O.D.E. y" + 3y' +…

A: Please post the multiple questions separately. Here I answered 1st question only as per our policy.

Q: For the given matrices, verify directly that (RS)* = S*R* and (EP)* = P*E* %3D 1 2 3 i R = S = 3i 4…

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Q: 2s + 3 Find the Inverse Laplace Transform of (s+4) 3

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Q: Each pair of polygons is similar. Write a similarity statement and find the scale factor. 4. B C 55…

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Q: I.Ba se: () is in C. II. Recursion: IIa) If E iS in C, so is CE) T Restriction: A6))fE& Fare in…

A: Solution: As ( ) is in C, ( ) ( ) is in C [by recursion (IIb)] As ( ), ( ) ( ) is in C, ( ) ( ) ( )…

Q: u(, 0) - R° cos(s® s cos(sa) S cos| sa

A: Solution

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A: Basis for a solution space of the matrix

Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z 12

A: The solid is bounded by the triangle and the planes x=0,y=0, z=0

Q: A curve has an equation of 9x2 + 25y2 = 225. Compute the second eccentricity of the curve. %3D 1.33…

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Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

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Q: Suppose_that a baundlecd tn R with du = o un u = Au on the boundary 20. Show that gran Carel is…

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Q: Solve the initial value problem y"- 8y'+52y = 0, y(0) = 1, y'(0) = -3.

A: Note: We are allowed to solve one question at a time. Use the given differential equation.

Q: di t. + 4 i - 5 Si dt = 2 u (t– 2) dt

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Q: Example 12. Write z = 6(cos 150° + i sin 150°) in rectangular form.

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Q: 1. Determine a positive root of f(r) = x+2x² + 10r- 20, %3D sing the Newton's method and an initial…

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Q: Draw these graphs. a)       K1,4 b)       W4

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Q: Q4/ Find the value of the following: cos (tan-1 1) 1) sin (sin-) 2) 3) tan - (cos n) 4) cos(sin)

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Q: Answer the fallowing muitiple-chorce awestion below algubra #11,K is aveal nmber and e is the lime…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: If the ideal gas law (PV= kT) is used to find P when Tand V are given, but there is an error of 0.3%…

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Q: Question: After college, you invest $8500 at 6.5% per annum, compounded quarterly. Estimate the…

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Q: values of matrix 7 3 is 29, the 9.

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Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

A: Introduction: Arithmetic sequence and geometric sequence are two important sequences in mathematics.…

Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

A: Given that,A flat surface is submerged vertically in water as shown.Weight density=W=9810 N/m3Length…

Q: Suppose that the function/ is defined on the intérval as follows. r-2 if-25x<-1 -1 if-1Sx<0 0 if…

A: Given function is f(x) = -2if-2≤x&lt;-1-1if-1≤x&lt;00if0≤x&lt;11if1≤x&lt;2

Q: -1 1 M -1 3

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Q: cos t f(t)f" (t) If f(t) = then = f"(t) -1. 1+ sin t

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Q: QI) Evaluate the integral dx dy using polar coordinate

A: We have to evaluate ∫01∫y2-ydxdy using polar coordinates.

Q: Use Green's Theorem to evaluate the line integral |(v - x)dx + (2x – v)dy for the given path. C: x =…

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Q: For Item # 8- 10: The function f (t) = t + 4t- 5 shows the number of pieces produced by a…

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Q: b) x•0 = 0. X c) – 0= 0.

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Q: Suppose that the function f is defined on the interval -2, 2) as follows. -2 if-25x<-1 -1 if -1Sx<0…

A: Function value at a given point

Q: 1. Find the Mclaurin Series expansions of cosh(x) up to fifth order.

A: Let fx=coshx

Q: 1. Determine a positive root of f(x) = r3 + 2r² + 10x – 20, %3D using the Newton's method and an…

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Q: QUESTION 3 Select the expression that is equal to 12P4 12 x 11 x 10 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5…

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Q: 1 (x-1)(2x3+2x2+3x+2) 1. x3 (x+1)

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Q: Determine the exponential function given the graph. ... B = (-1,4) A = (1, 1) -4 -3 -2 -1 2 3 4 -1…

A: We want to find equation of given graph.

Q: The coefficient of (x - 2)4 in the Taylor series expansion of f(x) = 3 log x - log x² about x = 2 is…

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Q: 1. sin 3at where a is any positive constant and s > a. 2. - (e-t - e-t) st – 3. (1 – cos 2wt) where…

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Q: sin x – e-* = 0, [0,1]

A: Sol

Q: If dįd2dzdądzded7ds is 1 4 0 5 7 3 2 3, let n = 100 + dzds and a = dzdg. n 3D Find d e Z, such that…

A: The solution follows from the Generalized Euclidean Algorithm for finding GCD.

Q: Question 2 Consider the number C(n,r) given by n! C(n, r) = (2.1) (n – r) !·r! * where n and r are…

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Q: Find the total area enclosed between y = x and y = x over the interval [-1,5]. NOTE: Enter the exact…

A: We have to find the total area enclosed between y=x3 and y=x over the interval -1,5

Q: A B 9. Which figure comes next in the series? A B C D of

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