Find the angle 0 between the vectors a = 8i – j– 4k and b = 2i+j- 9k. %3D

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A: Introduction: The properties of logarithmic function are given by, lnab=blnaln(a.b)=ln(a)+ln(b)

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A: Given: A vector field,  v(x, y)=y-x2, y To sketch: 6 vectors in the given vector field.

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Q: y"-4y =x²e*

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Q: The P-test says that: 1 • the series ) converges if p( ? 81 kP k=1 1 • the series diverges if p ? 0 ...

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Q: -7. If L[x(t)] = X(s), find: (a) L[i(t)] when X(s) = 2 and x(0) = 2 %3D

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Q: How many even factors does the number 3,809,975,400 have?

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Q: 3-7. If L[x(t)] = X(s), find: (a) L[ž(t)] when X(s) : 2 and x (0) = 2 MATHEMATICAL TECUNIOUES 83. (b...

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Q: 4. D = –16 – 12i ΕXPOΝΕΝΤIAL FORM 5. E = 10e¬1.97i RECTANGULAR FORM

A: The modulus of the complex number a+bi is a2+b2. Calculate the modulus of the given number D=-16-12i...

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Q: Evaluate the definite integral using the Newton-Cotes quadrature formula (Simpson's Rule)

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Q: 4. Use (fully completed) truth tables to assess the validity of the following argument orms. Define ...

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Q: 1. Arccos (Zf + ze) o. Arctan (zg + zp) p. Arcsinh (Za – zp)

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Q: Jse Theorem 7.1.1 to find L{f(t)}. (Write your answer a

A: Given,             f(t)=t2+2t-4

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Q: y the Gaussian quadrature metho

A: Given as, ∫028x7dx, Tolerance= Nx10-5.

Q: Find the volume of the region R.

A: Given, the region R which lies above z=x2+y2 and inside x2+y2+z2=4z.           

Q: 2 + 2 + 2 = 6 . 3 3 = 6 4 4 4 = 6 5 = 6 6 = 6 7 = 6 8 = 6 6 6 7 7 8 8.

A: Use  BODMAS while evaluating2+2+2= 63×3-3= 64+4+4 = 65÷ 5+5 = 6

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Q: For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base m...

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Q: Let F(x) = dt. Find an equation of the tangent line to the curve y = F(x) at the point with x-coordi...

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Q: diag(a1, ..., an) be a diagonal matrix (i.e., the matrix with the numbers a1, ..., an on the main di...

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Q: (6) Let Q1 be an m x n matrix with orthonormal columns and Q2 be an n × p matrix with orthonormal co...

A: Given that Q1 m×n with orthonormal column, hence it is an orthogonal matrix. Q2 n×p matrix has ortho...