Find the average of the function f(r,0)=r sin(0/2) over a disk of radius R centered at the origin.

Q: fn : [0, 1] → R, f„(x)= dt 1+t Show that for every x E [0, 1], this equality takes place: x2 In(1+…

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Q: (a) If A C RP and x E A, then there exists a sequence (xn) in A such that (xn) converges to x. (b)…

A: This is a problem of the Application of Calculus.

Q: d) 1, x, e-2x Q.3) The radius of convergence of (x-1)y" + 4y' + 6xy = 0 about xo = 2, is: a)+o Q.4)…

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Q: To-22 (1ny-8x) dy da

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Q: 1. Solve the following system of linear equations xi + 2x2 + 3x3 + 4x4 + 5xs = 5 2x1 - 3x2 + 4.x3 -…

A: GIven equations in matrix form: AX=D 123452-34-5111-1-115-4-32134-3-46x1x2x3x4x5=510897

Q: Find a, b and c so that the quadrature formula has the highest degree of precision f(x)dx = af (2) +…

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Q: dz Let z = a? + y, x = 2st, y = s- t, s = u", and t= u sin w. Compute for and du %3D

A: We have that z=x2+y3x=2sty=s-t2s=uwt=usinw We will find ∂z∂w and ∂y∂u

Q: = (-1)"(4 – ) for every (3) Let (xn) be the sequence in R defined as xn n e N. Does (xn) converge?…

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: B. Illustrate the following sets above in Venn 1. A' 2. BUE 3. FnD

A: Ac =U\A ,where U is universal set. Since the Universal set is not given, Ac can not compute by…

Q: Write a second degree equation matrix and prove that it is in vector space?

A: To show: An example of a second-degree equation matrix which is in vector space.

Q: calculate (see image), where D is the disc with it's center out of the origin. The equation of the…

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Q: In a particularly small region in the Philippines, the consumer price index C depends on • E, the…

A: Given that, The consumer price index C, which depend on The current value of the gross Domestic…

Q: a Define a relation R on N by (a,b) e Rif and only if EN Which of the following properties does R…

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Q: 10. The graph of a function is given below. Determine the intervals on which the function is concave…

A: Observe the graph for the concavity of the graph. The bulk represents that the curve is concave up…

Q: In (In y) xy³ dx + x²y2 dy + In x dy = 0 dx + %3D y In y

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Q: d²y + y = 4 cos x dx² Please solve this equation by hypothesis (V)

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Q: Instructions: For every item given below, determine which kind of algebraic structure it is, and…

A: We will check that (A,*) satisfies axioms of group or not.

Q: Find a positive integer n for which the equality holds = 1 2

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Q: Consider the differential equation dt =-0.6(y-4) with y(0) = 7. In all parts below, round to 4…

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Q: 4. lim f(x) = +∞, x-3 lim f(x) = -o x-3+

A: This is an application of calculus.

Q: findinequality if 121 =1 then isl8-31Eu.

A: Introduction: The triangle inequality asserts that the sum of the lengths of any two sides of a…

Q: Prove that for all sets A and B, A – B = AN B

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Q: (d) Show that {^} is not an adequate set of connectives.

A: (d) These are necessary and sufficient conditions for a set of connectives to be adequate. If a set…

Q: The graph shows how many centim a bamboo plant can grow and the of hours that the plant has been gr…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: The approximation of I = S cos (x² + 5) dx using simple Simpson's rule is: 0.54869 "-0.93669 This…

A: We have to solve by Using Simpsons 1/3 rule .

Q: Find the saddle point and solve the game Player B B, B2 B3 A, 15 3 Player A A, 6. 5 A3 -7 4 3 70 2.

A: We need to find the saddle point and solve the game              Player B Player A B1 B2 B\3…

Q: Q3: Prove that, there is no simple greup of order 200.

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Q: Find the velocity and acceleration vectors in terms of u, and ug- de r= a cos 20 and = 5t, where a…

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Q: It has been proposed to use double-DES as a fixed-length collision- resistant hash function within…

A: k-space volume of a single state in k-space    Vsingle-state=πa×πbVsingle-state=π2ab…

Q: Let R be a non - zero row-reduced echelon matrix. Then the non-zero row vectors of R from a basis…

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Q: 1. Consider the problem of finding the roots of P(x) = (x – 1)(x – 3)(x – 5)(x – 7)(x – 9)(x – 11)(x…

A: Given,Polynomial,P(x)=(x-1)(x-3)(x-5)(x-7)(x-9)(x-11)(x-13)(x-15)(x-17)(x-19)To determine whether…

Q: 3. The figure below shows twelve toothpicks arranged to form three squares. How can you form five…

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Q: 3. C=Z+, (a*b) = ([max(a,b)]/8) + 3 %3D

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Q: Let A be an nx n matrix over C". Let A be an eigenvalue of A. A generalized eigenvector x € C" of A…

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Q: A box contains balls: 3 red, 4 blue, and 5 yellow. A ball is hen randomly picked. What is the…

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: (2) Assume that we have a Cobb-Douglas production function for a certain industry: Q = CL°K®, where…

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Q: Q26: Define the integral domain ring. Is every ring an integral domain?

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Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

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Q: 1. A' 2. BUE 3. FnD

A: A={3,6,9,12,15,18} Ac=U-A,U is universal set Since universal set is not given or mention we can not…

Q: Find the velocity and acceleration vectors in terms of u, and ug. r= 6 sint and 0= 9t Ou, + (O ue V…

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Q: II. Find the Inverse Laplace of the following 1 а. s2 +6s+25 s2 b. (s-1)3 7 С. s4 6 8 - - - s3 s2 S…

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

Q: Let consider the following table that gives the values of a function f at some specific points: 0 25…

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Q: The approximation of , xln (x +) dx using two points Gaussian quadrature formula is: 4.08176 3.0323…

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Q: D. The organizers of an essay competition decide that a winner in the competition gets a prize of…

A: Given that total number of participants is 63 and winner gets a prize of $100, while participants…

Q: 9. Show the function f(z) =1+ 2i + 2Re(z) is differentiable or not differentiable at any points.

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Q: x+x+メナ] 3.

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Q: Find a solution of the differential equation y'+ 5zy = 0 in the form of a power series in z. For a…

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Q: find a Positive integern for which the equality holds %3D

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Q: 3) Show that for any constants M, k, and a, the function k(t – a) y(t) M1+tanh 2 y' satisfies the…

A: To Show- Show that for any constants M, k, and a, the function yt = 12M1 + tanhkt - a2 satisfies the…

Q: (B) Let I be a maximal proper ideal of commutative ring with identity R. Prove that R/I is a field.

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