[1 0 1. Let A = (i) AB (ii) BA (iii) Is AB=BA? 2 -5 2 -3 4] 1 -1 1] VY and B = 2 3 -5 0 6-2 -1 -3] Calculate the following:-

Q: conds after th mem 3) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32)sin(t)dt

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Q: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x²…

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Q: If g(10) = 6, g' (10) = 1, g" (10) = -6 andg" (10) = 4.8, then g(10.4) O...5.9904 O...6.2182 4…

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Q: Q1: If the function f(x) define as f: R →R such that f(x)= (x+1, x>2 x²-1, x≤2 Show that the…

A: Solution is given below:

Q: Find the tangent line approximation for √1 + x near x = = 5. ||

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Q: Show that the Fourier series of is: 2 ƒ (a) = (1/2 + 1). - Σ n=1,3,5,00 1 1 Hence find the sum of…

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Q: Consider the right triangle shown below where a = 7.02, b = 11.18, and c = 13.2. Note that and are…

A: Given, a=7.02,b=11.18c=13.2

Q: 1. [(5x (5x - 3)100 dx 2. (x - 3)¹/4 dx 5 3. 3. / ( x ² + ² ) ( ²2 2²³ + x) ² da 2) dx

A: 1) Given ∫5x-3100 dx Substitute   u=5x-3                  du=5 dx    ⇒ dx=du5 ∫5x-3100 dx = 15∫u100…

Q: find the solution of the differential equation     dy / dx = y / (y-x)  with y(5) = 2

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Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: a = 3n-2a What are the first 5 terms of the sequence represented by an Show all work for full…

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Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) n = 4, c = 2 +2² P4(x) = = =

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Q: Q2: (A) Show that if y=csc(u), then dy -csc(u) cot(u) du dx

A: I have stated the used formula in the solution

Q: Find the value of b for which the differential equation (yebry + x) dx + (bxexy) dy = 0 is exact,…

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Q: 5. If A is (8, -7) and B is (5, 16), find a unit vector in the same direction as AB.

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Q: The f is equal to 2x³+x X H. In (2x²+1)2 W. In +C I (2x²+1)2 K. None of the choices +C O. In R. In 1…

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Q: Q14) [2x (1+x²) x-(1-x²) (1+x²) +CB)- 10 (1+x¹) (1+x²) (1+x²)" (1+x²)" 11 +00) +CD) 11 10 12 1.1…

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Q: A poster of area 6000 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

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Q: Solve for x = u + 1 and y = 2u² - 4u d²y dx² with respect to the parameter u

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Q: 2 ( D° _ 2D - 20 - 3D - 2) y = 0 = 9

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Q: Suppose u and v are any vectors in R³. Which of the following is not true? Ollu + vll ≤ llull +…

A: To find which of the following properties is not true.

Q: Q 19 If a fault cuts three sides of a quadrilateral, then: Red with one of the vertices 2- Cut the…

A: Given question:- 19) if a fault cuts three sides of a quadrilateral then,

Q: Using mathematical induction, prove that 1²+2²+3²+ ... +n² = for all positive integers > n(n+1)…

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 6 sin(t). The initial…

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Q: Find the slope of the normal line to curve x=4sint, y=cos2t when t=

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Q: (B) What function f(t) has Laplace transform: f(s)= s² + 1 s(s+s-12) 12

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Q: Which of the following intervals contains a solution to the equation x³ + 3x = x² +1? O(-1,0) ○ (1,…

A: The given equation,    x3+3x=x2+1

Q: AY (1, 1) A X=1 y=x² с X (0,0) = 1, and the y-axis. Region A is bounded by the parabola x = y², the…

A: Note : As per our guidelines we are supposed to answer only 3  subparts if there are multiple…

Q: Q2: dy du (A) Show that if y=csc(u), then -csc(u) cot(u) dx dx

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Q: 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that…

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Q: Let f(x) = cos z. Determine the z-value(s) where the function has a maximum or minimum value on [0,…

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Q: 5. Calculate the area of the parallelogram formed by the vectors (4, 10, 9) and (3, 1, -2).

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Q: Explain why the function f(x)=3x+2/x²+5x+3 has no vertical asymptotes.create a rational function so…

A: Given function has vertical asymptote

Q: Find the Mass, Moments along x and y, Center of Mass, and Moments of Inertia of the region bounded…

A: The given region is bounded by x+y=2, x=0, y=0 as shown below: The region is given by R=x, y:…

Q: Question 7 AL Given that APOBDEA and APOCA are semicircles with centre O and P respectively. AP = 10…

A: We can solve the given question by the help of trigonometry.

Q: Using the matrices -2 -3 0 D = 1 0 2 1 2 1 compute the following. tr(2E¹-D) = -3 -4 -1 E = tr(2ET -…

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Q: 2. A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

A: It is required to find the initial temperature of the inside room using the given conditions…

Q: Show tha

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Q: The director of the school play has to assign 5 lead roles. If the roles are being chosen from a…

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: Given a > 0, evaluate the following limit: k X lim x-0 a 1x

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Q: (a) Use the Maclaurin series, In(1 + x) = x -+-+ = E=1(−1)n+12², 2 X to derive the series expansion…

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Q: 2. Determine the area above f(x) = 3x² + 6x - 9 and below the x-axis.

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Q: T 4.) x² sin(xy) dydx

A: Solve the following integrals.        ∫0π∫01x2sin(xy) dydx

Q: Which of the following describes the graph of the polar equation r = 2 − 4 cos θ? (a) A limacon…

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Q: 3x · Se³ª sec e³ª tan e³ dx

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Q: 4.yy 2xsinx

A: Solution of the given differentiatial equation is .

Q: How can Venn diagrams help us classify shapes by their mathematical attributes

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Q: Use mathematical induction to prove the following: 1 + 3 + 5 + ... + (2n – 1) = n² for n ≥ 1

A: This question can be solved using the four basic steps of mathematical induction.