a) (11-1) If A = 0 -2 3 001 , Show that A² = −4+27, where is the identity matrix.

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Q: 12. What is the width in kilometers of a single time zone at a latitude of 40 degrees? (Note: At 1…

A: . What is the width in kilometers of a single time zone at a latitude of 40 degrees? (Note: At 1…

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A: Use Trigonometric properties

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A: You have asked multiple questions and not mentioned which question answer you need so according to…

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A: Given problem :- 2dydx=yx+1x

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Q: dz Consider the equation 4 sin (x + y) + 7 sin (x+z) + 2 sin (y+z) = 0. Find the values of dx (...)…

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Q: Proceed as in Example 3 in Section 6.1 to rewrite the given expression using a single power series…

A: Given the expression,∑n=2∞nn-1cnxn-2+∑n=0∞cnxn+2

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Q: Match the Laplace transforms and their inverses. Marks deducted for wrong answers. bt sin(bt)…

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Q: 10. f(3x - 1)(x - 1) dx

A: The given integral is:∫-113x-1x-1dx

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We want to find number of leaps in which cheetah catch up the deer.

Q: A. d²y dx² B. d²y dx² 4 + 7y=0 dy dx - 4y = 8e²x - 12

A:

Q: A parabola is formed when a plane slices through a cone. Which of the following describes the…

A: This question is based on Conic sections.

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Q: S²₁₂ So 1-y² √x² + y² √x²+y² xyzdzdxdy

A: We know that integration power rule is - Integration of xn is xn+1/n+1 +C . Here C is integral…

Q: Evaluate O dx dx dx dx A-8- for the equation x+y=6 dx =-0.25 =-0.06 = 16.00 = 0.25 = 4.00 = 65 at…

A: d[xn]/dx = n*xn-1

Q: 1. xex² dx ·6². 2.52²dx answer: answer:

A: ∫01xex2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫euduWe know that ∫audu=auln(a)=euPlug in the solved…

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A: Given :y=t2t=hh=x2

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Q: Of Find the general solution for the following first order D.Es? (Answer two only) sinx+cosh 2y-…

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Q: Prove the following using the definition of a limit. n - 1 (a) lim n+on+1 (b) lim (2x² − 3) = −3 -…

A: For (a),    limn→∞ n-1n+1=limn→∞ 1-1n1+1n=limn→∞ 1-1nlimn→∞ 1+1n=11=1 For (b),    limx→ 02x2-3Plug…

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A: The given differential equation,     2d4ydx4-3d3ydx3-2d2ydx2=0

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Q: 5) Determine the equation of the tangent to the curve y = √3x² - 2x at x=1.

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Q: Q6/(A)Evalute ex² dxdy.

A: See the answer below

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Q: Q1/ Find maximum,minimum ,and saddle point of the surface = x³y³ - 12x + 3y + 12.

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Q: Write the negation for the following statement: If Juan is Rosa's father, then Miguel is her uncle…

A: Explanation of the answer is as follows

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Q: The value of V(-25) is * О -5i 4i 5i оооо О -4

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Q: If f(x) = 5x6 - 2x² then [f(x)dx=

A: The given function is: f(x)=5x6-2x4

Q: Q4/(A) Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction.

A: Given