Write an expression for the arc length of the rose r = cos 30. SET UP ONLY. Do not simplify.

Q: r and r+y? + b) the region B in the first octant bounded by the surfaces z = 1, and c) the region C ...

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Q: A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous r...

A: Given that A mass weighting 56 lbs stretches a spring 3 inches. The mass is in a medium that exerts ...

Q: Find an equation for the graph sketched below 8 7- 6-

A: Introduction: One of the most important functions in mathematics is the exponential function (though...

Q: 4. Let I = [0, 1] and let f : I → R be continuous. Suppose that | f(t)dt = f(t)dt, x E I. Prove that...

A: f(x)=  0 for all x in [0, 1]

Q: Reindex the series to start at k = 0 y- Σ+ 1)τ*13 -Σ 00

A: Given series is y = ∑k=8∞(k+1)xk+3

Q: 01/ Find the missing term in the following table using interpolation: 2 4 y: 81

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Q: Given the following matrix 4 5 -2 6 Find its two eigenvectors. A and 2- 2 and A, B A, R 5 and H2 D) ...

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Q: Given the tridiagonal matrix 1.97 1.5366 0. 0. 0.13 1.9514 1.665 0. 0.95 2.285 0.3146 0.17 1.7974 wo...

A: (note :- here we consider x1 =a, x2 = b, x3 =c and x4 = d) 

Q: Suppose Set A contains 22 elements and Set B contains 24 elements. If the total number elements in e...

A:  The number of elements in the union of set A and B is equal to the sum of cardinal numbers of the s...

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: (2) For each nEN, set D= [ Find each of the following (2) U Dn. (b)

A: Given Dn = -7n, 5n

Q: Solve for a root/roots of the functions 1. f(x) = e¯* – tan x 2. x² – 3 sin x + 2 ln(x + 1) = 3.5 Ap...

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Q: the sum of the digits of two digit number is twelve. if the units digit is thirteen less than four t...

A: Let x be units digit  and y be the tens digits therefore x+y=12 also x=4y-13 solve both the equation...

Q: A silo (base not included) is to be constructed in the form of a cylinder surmounted by a hemisphere...

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Q: Find the average value of fover the region, D, where f(x, y) = xsiny, and D, is the region enclosed ...

A: Given:The function f(x, y) = x sin y over the region D enclosed by the curves y=0, y = x², and x =1....

Q: (1) Suppose that {r, y, z} is a linearly independent subset of vectors in R". Show that {x - z + y, ...

A: Result:  A set of vectors v1, v2, …, vn is said to be linearly independent, if a1v1+a2v2+…+anvn=0 im...

Q: 4. Let A be a 3 x 4 matrix and B be a 4 x 5 matrix such that ABx = 0 for all x E R°. a. Show that R(...

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Q: Solve the problem. Let a1 = 5, a = , and b = Ematrix (( -2 )( 3 )( 1 )) Ematrix (( -23 )(-3 )( 22 ))...

A: If a1 and a2 be two vector in R3 . And b be any other vector in R3 .we say b can be written as the l...

Q: suppose R has of the set inclusions: (a) Ba(1) C Ba(0) in R (b) B2(1, 1) C Ba(1,0) in R? (c) B(3,0,-...

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Q: A company has three factories. Each factory produces three different products (A, B and C). Factory ...

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Q: (c) Determine the standard matrices [â] och [T] for â& and Tin the base Sn (for the appropriate n). ...

A: Given: A mapping T:ℙ2→ℙ2 defined by, T(p)=p'+p and the mapping x^:ℙ2→ℙ3 defined by, x^(p)=xp. To det...

Q: Question 1. Find the six sixth roots of 1. Express them in Cartesian form and in polar form.

A: As multiple questions were posted and it was not mentioned which question to be solved, I solve the ...

Q: Question 3.1. Sketch the region over which the given double integral is taken and evaluate it. (Note...

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Q: Find a 3 x 3 symmetric matrix M with eigenvalues A1 = 1 and X2 = 3 whose geometric multiplicities ar...

A: Note:- As per our guidelines, we can answer the first of this problem as exactly one is not mentione...

Q: (-1)* 6k +4 Consider the series k=1 a) Enter the p-series that can be used to determine whether the ...

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Q: A computer is available for Rs. 39300 cash or for Rs. 12820 cash down payment and three equal half y...

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Q: .Find the orthogonal trajectories for the family of curves x² + y² +3cx = 0.

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Q: 2(+-3) cos (t-3) y ct) : Sin 2t cos 34

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Q: Nines. Would Cantor's argument work if we used 2 and 9 instead of the digits? That is, for each digi...

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Q: a) find anapp 2) calcula

A: This is a problem of Numerical Differentiation.

Q: 1- Given the equations; 2x1 – 6x2 – X3 = -38 -3x1 - x2 + 7x3 = -34 %3D | -8x1 + x2 – 2x3 = -20 %3D S...

A: Let us consider the system of the equation AX=b Where, A is coefficient matrix, x is variable matrix...

Q: Assume that for some base a, log,x = 0.3000, log.y = 2.8642, and log,z = 1.7642. Find loga ().

A: Given that  logax=0.3000logay=2.8642logaz=1.7642

Q: Q. Find an approximate root accurate to at least 10 of the following nonlinear equation Vx - cos x =...

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Q: Solve and find fixed paint 3 and find equilibrium point ? 1) Xn+i

A: This is the problem of dynamical system.

Q: 1.) Determine the absolute and relative error when approximating 2x8 using sixth-degree Taylor polyn...

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Q: y(4) = y(3) + y" + y + 2y and y(0) = y'(0) = y"(0) = 0, y(3) = 30. %3D

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Q: One way to to characterize a geometric series is that the ratio between successive terms is constant...

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Q: 3. Let f : R→ R be continuous and let a > 0. Define g : R → R by rx+a g(x) = f(t)dt, x € R. x-a Show...

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Q: Suppose r1,...,n are i.i.d observations from the population with the density function f(x) = 2rI(0 <...

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Q: Consider the following system of linear equations. Define a symbolic equation representing each equa...

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Q: In a survey of 164 pet owners, 53 said they own a dog, and 93 said they own a cat. 27 said they own ...

A: Let A - people who own dogs B- people who own cats U- denote for total people surveyed Total number ...

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 1 + e5t L{f(t)} = ...

A: Given function is f(t) = 1 + e5t

Q: et S ⊆ N, and for any a, b ∈ N, consider a relation R such that aRb if and only if there exists c ∈ ...

A: This is the problem of Relation.

Q: Mike has the cartesian coordinates of a point which is (-1,-V3). Help Mike find the polar coordinate...

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Q: The figure below open cylindrical can, S, standing on the ry-plane. (S has a bottom and sides, but n...

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Q: If the pth, qth and rth terms of an A.P. are a, b and c respectively, prove that : alq – r) + b(r – ...

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Q: If a = i+ 3j + k and b = i+9j + k, find a unit vector with positive first coordinate orthogonal to b...

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Q: 3. Solve Ą10 when 1 -1 A = 1 3 - - 2

A: Given a matrix A=1-1-1232 Multiply the A×A to get A2 A2=1-1-1232×1-1-1232⇒A2=32-52-54114  

Q: MY NOTES The table shows the performance of a selection of 117 stocks after one year. (Take S to be ...

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Q: Use the identity 1 Ey" to express the function as a geometric series in the 1- y n=0 indicated term....

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