Sketch your process of determining the vector and find its component form if 7 makes the angle of 30° with the xy-plane, has magnitude 4, and its projection to ry-plane makes an angle of 600 with positive z-axes.

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Q: For any positive integer n and any angle 0, show that in the group SL(2, R), cos 0 – sin 0 cos no –…

A: For any positive integer n and any angle θ To Prove:   cosθ-sinθsinθcosθn=cosnθ-sinnθsinnθcosnθ…

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Q: For each logical argument, select the truth values for the pr show the logical argument is invalid.…

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Q: Prove that where 1 ≤r≤n. η Σ()=(n+1) k=0

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Q: (d) V (V. u) (e) V. (V xu) where p = x²x2x3 + x² and u = x1x2x3е₁ + x1x²ẹ₂ + x²x3 €3

A: According to our guidelines as you mention part d and e, so we solve d and e part for you.

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Q: If x >= 0 and y >= 0, prove that √xy <= (x+y)/2.

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Q: ) Find f'(0.75) for h=0.25 according to the Table, a) with the Forward difference formula b) with…

A: 1) Forward Difference method:               f'(x)=(f(xo+h) − f(xo))/ h              f'(0.75) = (…

Q: [1 0 5 1 4 0] 4- Given that 2 [108 6X [A] = 79 L238 23 8 26 95 69 3 0 13 95 76 79 114 60 11. 40…

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Q: Verify Green's Theorem by evaluating both integrals I rax+x2oy= (х от са JJ L: y2 dx + x2 dy dA Әх…

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Q: Write a in the form a = a-T +aNN at the given value of t without finding T and N. r(t) = (-3t+2)i +…

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Q: 25. Use Algorithm 1 to find the transitive closures of these relations on {1, 2, 3, 4}. a) {(1, 2),…

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Q: there are between 50 and 60 number of eggs in a basket when Loza counts by 3s there are 2 eggs left…

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Q: solve the equation differential partial utt = 16uxx u(0, t) = 0;    u(π, t)=0 u(x, 0)= 9sen(2x) -…

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Q: 10. Consider the following autonomous DE: y' = y² (4- y²). (a) Find the equilibrium solutions and…

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Q: A hand-held calculator will suffice for this problem, where an initial value problem and its exact…

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Q: Use the Laplace transform to solve the initial-value problem y" – y - 6y = 0, y(0) = 1, y(0) = 2.…

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Q: Differentiate the function G(s) = Answer 38² 7es + s G'(s) =

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Q: 1. 6.Б √1 (x2 + y²) dy dx

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A: Given A2B4C6 = A2(B2)2(C3)2 =(AB2C3)2 Base is AB2C3  Exponent 2  Or A2B4C6 = (A1/6)12 (B1/3)12…

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Q: 1 Let an be a sequence and bn = = (a₁ + a₂+...+an). Show that if an is convergent, then b, is…

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Q: 4. Let f(x, y) = y ln(x² + y²) whenever (x, y) = (0,0) and f(0,0) = 0. Show that f, is defined at…

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Q: 2 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

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Q: Find the volume of the torus generated by revolving the circle (x-6)² + y² = 9 about the y-axis. The…

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Q: Question 5. 1 € [0, ∞). Find all continuous function f on [0,00) such that f(x) = f(r³), for any

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Q: If x and y are 3−cycles in Sn, prove that ⟨x, y⟩ is isomorphic to Z3, A4, A5 or Z3 × Z3.

A: If x and y are 3−cycles in Sn We have to prove that ⟨x, y⟩ is isomorphic to Z3 , A4, A5 or Z3 × Z3

Q: decide if the given statement is true or false,and give a brief justification for your answer.If…

A: Given: The Laplace transform, Fs=ss2+9We need to check whether the inverse Laplace transform of Fs…

Q: b)Find the equation of the circle which passes through (1, 0) and (0, 1 and has its radius as small…

A: (a)Let x1,x2 and y1,y2 be the roots of x2+2ax-b2=0 and x2+2px-q2=0,respectively.then,…

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