Q5/ By Using Cayley-Hamilton method the inverse of the following matrix is:

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A: Concept: Converting degree into radian: degree×π180°=radian Using the concept that the x-axis…

Q: 1.- 2. Zeros are 2 and - 3 X -2 -1 3. y 10 5 2 0 1 A. f(x) = x² + 1 B. f(x) = x²+2x-3 C. f(x) = 2x²…

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Q: 3. Approximate the integral using: (a) trapezoidal rule. (b) Simpson's rule. SUBJECT: NUMERICAL…

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Q: 5. y = log(7x + 3). 4²x¹+8

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A: According to question,Given equation,x2 - 5y2 + 26x + 164 = 0

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Q: Determine the angle between 0 and 360° that is coterminal with -440°. 280 O 180 O 100 O 80

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Q: Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x…

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Q: 03: Evaluate the following integrals: (5) √cotx.csc4 x dx

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Q: Which of the following represents a geometric sequence with a common ratio r= 5? O2, 10, 15, 75, 375…

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Q: (i) Find f(4). Select the correct choice below, and fill in the answer box if necessary. OA. f(4)=…

A: We have to find the limits.

Q: If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: Does the geometric sequence converge or diverge? Explain. 40,-10, 2.5, -0.625,...

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Q: Find the aera under the curve y = cosx fx sec²(ax² )dx a #0 Form x = 0 to x = 7/

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Q: (A) Estimate the area under the graph of f(x) = 3x³ + 4 from a = -1 to x = 4, first using 5…

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Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

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Q: -if y=x² the dy dx

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Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

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Q: convergence : 00 Σ+1*. n=1 1 n 10n (x - 2)"

A: We will use  Ratio-Test to find the solution

Q: 03: Evaluate the following integrals dx (1) √√₂√x (1+√x)²³ S=

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Q: Consider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: Consider the vector between (-2,-5, -3) and (5, 10,7).

Q: Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

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Q: 11. Determine lim log x. x→1 A. 0 B. -1 12. Determine lim ln x. x→1 A. 1 B. -1 C. 1 D. DNE C. 0 D.…

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Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

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Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: Evaluate (+2)(3-2) dr Use C to denote an unknown constant Answer:

A: First we multiply (t+2 ) and (3t-2)

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Q: 5. The set P = {a + bi| 0 ≤a<1,0 ≤ b ≤ 1} is graphically represented by A B i X C 1 x 1 x D i

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Q: 3 a) : Evaluate the limit, if it exists. 2+√√√x lim x+4 4x + x² b): Evaluate the limit, if it…

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Q: -3 √₁² 1 ex+2 dx

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Q: Find laplase 4-f(t)=e²¹.t³.

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Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2,-4), (-2, 6), foci at (-2,-5),…

A: Given,  Vertices: (-2, -4), (-2,6), Foci: (-2, -5), (-2, 7)

Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

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Q: Solve the following differential equations of (3x² - 6xy) dx +(-3x²-2y)dy=0

A: Given differential equation is  (3x2-6xy)dx+(-3x2-2y)dy=0    ...... 1 Check for exactness. Here…