Write the given series in sigma form and find the sum 3 - (3/2) + (3/4) - (3/8) . . . .

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A: Given, u=<5,7> v=<6,2> projvu= (u.v/|v|²).v u.v= 5*6 + 7*2= 30+14= 44 |v|= √(6²+2²)= √(3...

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A: Given problem:- The differential equation   y' (x y e² ) = y²ey/x + x²   has a solution of the form ...

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A: Solution :Area =∫-30fx-gxdx

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Q: 2. Find the area of the region bounded by the graph of y = x2 –- 3x – 4 and the x-axis. %3D

A: The region is bounded by y=x2-3x-4 and the x-axis.

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Q: Given the piecewise function defined below, determine the value of 3 f(x)dx in simplest form. -3x² –...

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Q: 4- find Juw w = X + y y + Z ९ ८०९ ६ y = e Sint and

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A: Given:       L-1se-π2ss2+4 Apply inverse transform rule:       if L-1Fs=ft then L-1e-asFs=Ht-aft-a w...

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Q: Let R be the region bounded by the functions f(x) = 3x² – 11 and g(x) = 1 as shown in the diagram be...

A: Let R be the region bounded by the functions fx=3x2-11 and gx=1 as shown in the diagram below.To fin...

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Q: (d) DNE (e) 2. Calculate each of the following i: (a)/ sec2 (x) dx (b) 3 (d) In(x) dr (e) 0. 1. dx 4...

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Q: > Next question 3 Get a similar question You can retry this question below Let y = 5x + 2x +3. If Az...

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Q: Let cot (0) = 6 where 0 is in Quadrant III. Find the other trigonometric functions of 6

A: topic- trigonometric ratios

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Q: If cos (0) = - and tan (0) < 0, find all other trigonometric functions of 0.

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Q: Given the following differential equation and its initial conditions y" - 3 y'+ 2y - 6 with y(0) 2 a...

A: We know, L{y''}= s²L{y}-sy(0)-y'(0) L{y'}= sL{y}-y(0) L{1}= 1/s  L-1 {1/(s-a)} = eat    

Q: A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of fruit. She e...

A: Question- A farmer finds that if she plants 75 trees per acre, each tree will yield 45 bushels of fr...

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Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $9 the aver...

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Q: rify its coordinates. ös that your graph will show. You may click or f(z) = 2 (z- 4) (z – 1) (z+5) o...

A: Given query is to find the number of zeros of the function .  

Q: Find dy/dx by implicit differentiation. 2vx + vy = 5

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Q: Differentiate y = (x^2– 4)1/2/(x^2) + (1/2)[Arcsec(x/2)].

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