Find the length of the given curve: r(t) = (-3t, -3 sint,-3 cos t) where-3 sts 5.

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Q: Find the solution to: d/dt ŷ =  3x3 matrix of all 2s ŷ , ŷ(0) [2,5,5] 1x3 matrix with 2 at the top

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Q: cos(x + y), when x = 0,y = 7. dx dy 2 = 4

A: As per the policy of bartleby, the provisions is to solve only one question at a time.   So I am sol...

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Q: 4) In this question, you will find a Taylor polynomial approximation of the solution to the differen...

A: Since you have asked a question with multiple subparts so as per guidelines we will solve the first ...

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A: Solution:-

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Q: . Let a and b be integers. If 7 | (17a + 256), prove that 7 | (10a + 11b).

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Q: Siven X (z) = 2+ 6z-1 find x(1) of x[n] 4 2z-2 +13z-3 O 1 O 0.5 -1 O 1.5

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Q: A glass of skim milk supplies 0.1 mg of iron, 8.5 g of protein, and 1 g of carbo- hydrates. A quarte...

A: let she required to drink  x glasses of of skim milk , y quarter pound of lean red meat and z two sl...

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Q: Theorem 3.16. Suppose f(x) = E• n=0 converging in |x| < R. If –R < a < R, then f can be expanded in ...

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Q: sop (sum of Poreluct) of this Find the fallowing Expression. F(x%,z)= Em[011, 3,5,6)

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Q: Q1. Use 4 steps of fixed point iteration and approximate the root of the following function: f (x) =...

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Q: please send handwritten solution for part a

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Q: Set S = { 2, 3, 6, 7} The matrix representation of relation R is shown below: 2 3 6 7 2 0 0 0 1 3 01...

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Q: Which of the following integrals finds the volume of the object obtained from revolving the region b...

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Q: 2. (s-s?- t)ds + (t + s² +t?)dt = 0 %3D

A: Use variable seperable to do this and then integrate this both sides 

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Q: 3. (w - 3x +3)dw + ( 3w + x + 9)dx=0

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A: Here we can use the fact that Taylor's series expansion of ln (1+x) is  ln1-x=-∑n=1∞  xnn Also the i...

Q: Suppose a is an integer that is relatively prime to 400. Prove that a40 = 1 (mod 400).

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Q: Water sits in a hemispherical bowl of radius 7 cm. The depth of the water is 2 cm (i.e., from the su...

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Q: Suppose that ¢ : G → G' is a group homomorphism and there is a group homomorphism (1) (a) v : G' → G...

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Q: (w² – z² – 4z – 1))dw + 2w(z + w + 2) dz = 0

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Q: Evaluate the integral of the two-form w = (a* + 4y) dx A dy over the region D bounded by the curves ...

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Q: Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs ...

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Q: Find the value of x5 in 1 decimal places (positive value) using Newton-Raphson Method (5th Iteration...

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Q: On the decibel scale, the loudness of a sound, D, in decibels, is given by D= 10 log (1/1,), where l...

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Q: S = {a, b, c, d, e} R is a relation on S. The digraph representation of R is given below: 1. Use the...

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Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 + y^2/12^2 = 1. The r...

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Q: (s-s²– t²)ds + (t + s? +t?)dt = 0

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Q: ng factor + my

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Q: 1.Sketch the graph of the following conic: 5x^2+9y^2-18y-36=0 Then determine the focal point and ecc...

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Q: (w² – z2 – 4z – 1))dw + 2w(z + w + 2) dz = 0

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Q: Bessel's Function Tutorial sheet te in X J, (x) Find ý and y %3D

A: Introduction: The differential equation x2y"+xy'+x2-n2y=0 is referred to as Bessel's equation. This ...

Q: 1. Let the universal set U be the set of integers from -12 to 12. Let A be the set of multiples of 2...

A: Given the universal set U =  the set of integers from -12 to 12 = {-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,...

Q: Determine if the following series converge or diverge. Make sure you state which test you use to mak...

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Q: 1. Prove that the following functions are quasi-concave: (i) f(x, y) = ryt, r > 0, y > 0; e-24, x > ...

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Q: 241 310 234 From the given matrix, considering the elements of the first row 2, 4, 1, compute the mi...

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Q: Lush Gardens Co. bought a new truck for $50,000. It paid $5,500 of this amount as a down payment and...

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Q: Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible by Cramer'...

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Q: 1) The polynomial parent function given has been transformed. Write the equation of the new image. a...

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Q: Does the following series converge or diverge? n° Σ n=1 O The series diverges. The series converges.

A: ∑n=1∞an=∑n=1∞nn8n2 Theorem: let ∑n=1∞an,be the series L=limn→∞an1n then, If L&lt;1 the series is abs...