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Q: Use mathematical induction to show the following. n 2(√n +1 − 1) Σ < 2√n+1 i=1 Vi

A: Given: 2n+1-1&lt;∑i=1n1i&lt;2n+1 To find: Solution

Q: 7. For the following function: 4 • <t<l ..f. (.t.)..=. [² 1<t <2 b. Find the trigonometric Fourier…

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A: Given table is x y 3 13 4 21 5 31 6 43 7 57 8 73 9 91   Here, step size h= 4-3=1…

Q: 22. Evaluate xyz dV, where E lies between the spheres p - 2 and p- 4 and above the cone - 7/3.

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Q: 2. 2x² -5x=10 Show by completing the square that the solutions to the equati ax²-bx-a=b are x=-1 and…

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Q: 1. Prove or disprove (a). The order of the element (2, 3) € Z6X Z15 is 5. (b). The group Z7X Z17 x…

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Q: Find the sum of the following infinite series. +00 +2k+1 3k+2* 1 (1) Σ (ii) Σ k2 +5k+6 n=1 n=1

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Q: [C 1. : Two vectors, F1 = 50 N and F2 = 60 N, have directions as shown in the figure below.…

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Q: a+c\ The linear transformation T:P₂→R³ is defined by T(a+bt+ct²) = b Verify the rank nullity theorem…

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Q: 15. y=x6 18. y=sin(2x-л)+2 15. 16. A. 10 8 6 4 4 D. 3 laten each glapn will а -2 2 0 -2 -4 2 3 16.…

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Q: - 5. Let R be the region bounded by y = √√4x², y = 0, and x = 0. Find the volume of the solid…

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Q: Let A, B, and C be sets. Prove that: Ax (B\C) = (A x B) \ (A x C).

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Q: Example Test the canvergence of the Sollowing Series: { In mo √n n = 4

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Q: Problem 3. Consider vectors and as drawn below. The vectors are drawn to scale. Choose an item below…

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Q: (c) Use your formula for E to determine the selling price that would have resulted in the largest…

A: To determine the selling price that would have resulted in the largest annual revenue.

Q: If sales are 32,897, 50,457 and 45,293 for 2018, 2019 and 2020, what would you forecast for 2021…

A: Given that sales are 32,897, 50,457 and 45,293 for 2018, 2019 and 2020. And weight is 0.5. We have…

Q: N 7. A. 1 2x²-1 8. A. I and II only If_f(x)== 1 B. 0 If 90°sin y COS X>COS y tan x<tan y B. I and…

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Q: Reverse the order of integration I f(x, y)dydx.

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A: Use the following formulae, to obtain the solution. Velocity, v=dxdtAcceleration, a=dvdt Where x…

Q: Use mathematical induction to show the following. n 2(Vn+1-1) < < Σ Σ <2Vn+1 i=1 Vi

A: Given: 2n+1-1&lt;∑i=1n1i&lt;2n+1 To find: Solution

Q: f(x, y) = ln(y + 2) +√9-y- x²

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: & and X are open sets.

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Q: Q.IB) Show: RX sin dydx-

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Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to…

A: Given equation is: 5x2−y2+3z2=0

Q: c): Find the Taylor polynomials fo, f₁, f2 and f₁ for f(x) = √√1-x at a = 0. Also draw the graphs of…

A: find the taylor polynomial f0 , f1 , f2 and fn for fx=1-x at a=0 it is known that fx=∑k=0∞fkak!xk…

Q: 1. Find the Laplace transforms of the following functions. a.) est e2t cos (3t) + sin (3t) - b.) 2…

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Q: g(x)]dx, (b> a), for all f, g € X. Show that (X, d) is a me

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Q: 7. For the following function : 4 · <t<i ..f. (.t.)..=. Lo 1<t<2 CA. be Find the trigonometric…

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Q: Question 4. Complete the boxes, giving your answers to two decimal places where applicable. to get…

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Q: 26 c. Calculate (-4+3i) (-2-52) and express it in exponential form re² with 00 2T. Give your answers…

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Q: Kane and Abel are in partnership sharing profits and losses in the ratio of 1:1. The following…

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Q: ५ Exh x dy y dx Find the general solution to differential equations

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Q: 3. If x= log2, y=log,3, then log, 108= A. Cannot be B. x²y³ C. D. 2x+3 6 xy determined 4. The figure…

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Q: Answer 2.b only

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Q: E= F= 2 131 10 11 02 210 0 1 2 3 1 -2 200 0 31 5 3 -7 0 4 2 01 10 1 021 1 0011 {0

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Q: b. Find all second-order partial derivatives. 8x² sin (a) f dx O ܨܩܕ 82 F მu2 ܨܩܕ sin (a) f da 8 8 a…

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Q: 1. Find the value of 80+4 will form an that 3at3, 6at and aso arithmetic progression

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Q: 1) Z12/1 is not a Field Always because if we take the ideal I = Z₁2/1 is a Field. 2) The map y: Z₁-…

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Q: Use inductive reasoning to decide whether each statement is correct 1. The product of two odd…

A: 1.  Consider two odd counting number, let they be 3 and 5  the product of 3 and 5 is 15 3×5=15 which…

Q: Q' (t) = (b) Find th

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: = Romberg integration for approximating f, f(x) dx gives R21 R11 = 9 and R22 = 9.5 then

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