Find the length of the curve for the following parametric equations for 13 < t < 15. Find its exact length, no decimals. x(t) = 31 + 30ť² | y(t) = 34 + 20t³ Length =

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Q: 3. Consider the periodic system y' = A(t)y, -1+ 0t 1-ost sin |-1- sint cost ) 3 cos2 2 3 3 A(t) = 2 ...

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A: S(n) = 1+2+4+8+16+......+2n-1 = 1 + 2 + 22 + 23 + 24 + . . . . . . . + 2n-1 = 1(2n - 1)/(2-1) [ it's...

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Q: Question 4 Use Newton's method to find an approximation of 30 (Use five iterations of Newton's metho...

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A: To find- Use the Wronskain to determine the functions f1 = ex, f2 = sinx and f3 = x3 are linearly in...

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A: Solution:-

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Q: (b) A simple way would be as follows. Let z=t, where 2<t< 9. It follows that * + y = t-1. We can the...

A: As per you mentioned you have got the solution I've just explained why we are going to use the conve...

Q: (b) A simple way would be as follows. Let z=t, where 2<t<9. It follows that x + y = t-1. We can then...

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Q: lease answer the foll

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Q: let a and b be integers, if 7|(17a+25b) then prove 7|(10a+11b)

A: 7 | (17a+25b)  =&gt; There exist some integer k such that       17a+25b = 7k

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Q: Prove that there do not exist three consecutive integer values of nn for which 43n+1443n+14 is a per...

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A: 4x+x2y"+2+6x2y'+4xy=0---1 Rewriting, y"+2+6x24x+x2y'+4x4x+x2y=0 Px=2+6x24x+x2, Qx=4x4x+x2 As xPx and...

Q: Problem 3: From an experiment in an industrial process the following data have been obtained (see ta...

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Q: Consider the clockwise-oriented (shifted) circle, C = ((x, y) E R² | (x+2)² + (y-3)² = 9), and consi...

A: Given: The clockwise oriented shifted circle C=x,y∈ℝ2|x+22+y-32=9 and the vector field F on ℝ2 given...

Q: 3. Consider the periodic system y' = A(t)y, 3 -1+ cos? t 3 1-, cost sin t A(t) = 3 -1-sint cos t -1+...

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Q: 7) Prove the following. a) (pAq) →r = (p-r)v(q-r) b) p-(q-r) = (pr)

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Q: 4. What is the simple interest on N450 for 4 years at 4'/,% A. N71 B. N81 C. N91 D. N101 E. N111

A: Given information P=N450 R=412%=92% And T=4 years We have to find the simple interest. The formula f...

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A: For a complex number: z=x+iy can be written in the polar form as z=r∠θ, where r=x2+y2, θ=tan-1yx.

Q: Required information NOTE This s a multi-part question Once an answer is submitted, you will be unal...

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Q: Problem 3. Consider the function Sa³ sin(1/x), x > 0. S(x) = 0, x < 0. (i) f'(0–). Compute the right...

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Q: Required information NOTE: This is a multi-part question Once an answer is submitted, you will be un...

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Q: f evaluating functio

A: Given as, sin1049+1.2 To evaluate the given functions.

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Q: 5. Use the simplex method to determine the optimal solution for the linear programming model represe...

A: Please see the attachment

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A: The value of table for x and y: x 0 1 2 4 5 6 y 1 14 15 5 6 19 Here, we shall find the value...

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be u...

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Q: Question 10 Solve xy³dx + e^x² dy = 0 Show your solutions on a separate sheet of paper. A (B -²+y-2=...

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A: Yes, it is always true. See the proof.