A circle of radius r has area A = r. If a random circle h

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A: Given question related to the surface area of cylinder . Solution is given below

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Q: [3.0 augmented matrix is 0.6 2.0 1.5 -0.3 2.0 1.5 -0.3 -5.0 | 8.01 -5.4 | 2.7 2.4 | 2.11 1.2

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Q: DO NOT include spaces in between 17 characters. * In (In y)) at y = e. dy Compute Your answer

A: Given function is ln(ln y) we want to find the derivative of given function with respect to y.

Q: Complet the following table : O D:5 1.5 1.75 2.71828 5.75460

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Q: Given a natural number c ∈ N. On natural numbers, the relation Rc is defined as follows: ∀ a, b ∈ N...

A: (a) let (a,a) be in Rc .      Then there exist integers u and v such that       au + av = c      =&g...

Q: 3. Let {[ 1 2 -2 2 6 3 T = 3 4 5 1 -1 1 Determine whether T is linearly independent in the vector sp...

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Q: Determine the solution set to the complex equation: z^2 - (8 - j5)z + (40 - j20) = 0 (hint: quadrati...

A: The complex equation is z2-8-j5z+40-j20=0 We have to find the solution of the above equation. Here, ...

Q: ôu a?u Let u be the unique solution of where (x, t) e (0, 1) x (0, 0), u(x, 0) = %3D sin Tx, x e (0,...

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Q: Ex.9. An ellipsoid y2, z2 = 1 is surrounded by a luminous a? b2 ring x = 0, y2 + z² = a². Show that ...

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Q: 1. Use the Euler, improved Euler and Runge-kutta methoods to solve the following ODES: d. ý =(1+ )y,...

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Q: z = tan (VZn + Ze

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Q: The value of 2$(d) d\n for n = 14 15 13 12 O 140

A: Euler phi-function: The function  counts the positive integers up to a given integer n that are rela...

Q: ch the region enclosed by the given curves. y - cos(x), y- sin(2x), 0sxs 2. -1 -1 -라

A: Introduction: The area of the region enclosed by the curves y=f(x) and y=g(x) between a≤x≤b is given...

Q: 10. Find the dimension of the subspace of P3 consisting of all polynomials ao + ajx + a2x² + azx³ fo...

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Q: -31 2: -6 -2 Find the eigenvalues and eigenvectors ofA = 特後值 -2

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Q: Q2 /| Find a cubic polynomial of x (5, 147). given points (0, 2), (1, 3), (2, 12),

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Q: 4. a) Find the value of x where the function f(x) = (x – 4)š is not differentiable. b) Determine the...

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Q: 1 To find the number of toys a company should manufacture per day to optimally use their injection-m...

A: Given : 0.33330.16670.66670.16670.66670.33331.05-10x1x2x3=75612600  

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Q: (1) Vf (f is a scalar function) 2) ř(t) and r(s), t is time and s is arch length.

A: This is a problem of vector calculus.

Q: Can an (6,4)-graph is connected.

A: (6, 4) graph has 6 vertices and 4 edges. Now, any graph with n vertices will be connected if there i...

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Q: Peter has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money...

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Q: Find the volume of the solid resulting from rotating about the x-axis the region under the curve fro...

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Q: Show that e 12-1/31 2+3az| 2re?

A: The given inequality is                                           ∮|z-1|=1ezz+3dz≤2πe2 To prove the ...

Q: n the region enclosed by the given curves. y - cos(x), y - sin(2x), Osxs 1 6. IN । ० KIN

A: Introduction: The area of the region enclosed by the curves y=f(x) and y=g(x) with a≤x≤b is given by...

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Q: let f:(a,b)→R be de fined by XƐQN(a,b) 2 f(x)=' 3 xƐQ'N(a,b) show that dif ferentable on f? why?

A: This is a problem of Differential Calculus.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Distance = 4.41

Q: What is the median of a normally distributed random variable with mean ? and standard deviation ??

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Q: 1. Find the value of ø(0) for a solution ø(x) to the initial value problem: 6y" + y' – 2y = 0; y(1) ...

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Q: i = r? + y? – 13 ý = ry - 2x – 2y + 4

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Q: #+ )= 2 c(-)-2 sin (- 2 cos (#)-2 sin() 2 cas ()+32 sin () # + )F 2 ccs (2 sin () 27 (0) 27T +j2 sin...

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Q: For the function:     F(x) = x3/3 – 3/4x2 – 27/2x +39 (i) Determine the coordinates of the turni...

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Q: 1. Determine for y(s) if y(0)=3, y'(0)=-2 and y"(0)=7 dy dy dy +5 + 6- =D0 dt dt3 dt2

A: We have given differential equation, d3ydt3 + 5d2ydt2 + 6dydt = 0  It's Auxiliary equation is given ...

Q: a b c a b c If def=2, find the determinant of g hi g hi de f The determinant is

A: The solution is given as  

Q: Use Bisection Method to find the root of r + 6x? – 12 = 0 that lies in the interval (1, 2) to four-d...

A: The steps to find the root of the equation fx=0 by the bisection method are as follows. Identify tw...

Q: E Divide 120 into 3 parts Such that he sum product faken 2 at a time Is a maximum. of the ir

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Q: 5. Determine whether the given pair of graphs is isomorphic. Us H G

A: We need to check if both have the same vertices and edges, their degree sequence, and the length of ...