Solve by Mathematical Incluction that all n2l.

Q: Graph |x – 3| > 2 on the number line.

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Q: 2. Misalkan CR adalah lingkaran dengan pusat di titik asal dengan jari-jari R > 1. Buktikan Log (z2)...

A: Here we show that ∫CRLogz2z2dz<4ππ+lnRR

Q: 10. Is x - x - 2 a factor of x³ - 6x² + 3x + 10 ? Explain.

A: Given expression is x3 - 6x2 + 3x + 10

Q: 4. Evaluate the determinant of the matrix by using a convenient column or row. (a) 3 -1 3 1 A = 2 0 ...

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Q: Use Bisection method to find a real root of x2 -2 in the interval [1,2]. What should be xg Xn Xn Xn+...

A: As  f(x)=x2-2, in [1,2]Therefore,  f(xn-)=f(1.40625)                            =(1.40625)2-2       ...

Q: Consider the functions f : A → B, g : B → A and h : B → A such that if gf =14 and fh = 1B. Prove (a)...

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Q: 5 minimum effort game, non-mechanical) Consider a two-player game in which each player can choose an...

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Q: tents that weigh, on average, 0.84 pound per cubic foot. What is the weight of the contents in the c...

A: Given as, Length= 1.5 feet, Width= 12.5 feet, Height= 6 feet.

Q: Use the graph y=g(x) to graph the given function. 12- 6- -12 -9 -6 -3 12 -3- y = g (x) -6- -12- y=5g...

A: Given: Let us use the given graph y=g(x) to graph the given function y=5g(x)

Q: P is regular if all Borel sets are regular. Define C to be the collection of regular sets. (a) Show ...

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Q: Please answer no. 4&5

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Q: The circumference of the inner circle is 44 feet. The distance between the inner circle and the oute...

A: The circumference of inner circle is 44 feet therefore calculate the radius if inner circle 2πr=442×...

Q: Find the quadratic polynomial whose graph passes through the points (1, 18), (2, 35), (3,60). NOTE: ...

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Q: Please choose one of these options for the following questions: This is not a function This is a fu...

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Q: Let a be the angle between the vectors u=(-3,4,0) and v=(-4,3,0). Then

A: Given, the vectors u=(-3, 4, 0), and v = (-4, 3, 0).

Q: Find the general function M(x, y) so that the equation is M(x, y) dx + (sin xe ^y + xy) dy = 0

A: The given equation is M(x,y)dx+(sinxey+xy)dy=0We have to find general function M(x,y) Exact Differen...

Q: Use Mathematical Induction to prove that for all n eN with n > 2, 1 1 + + 2.3 1 +... + 1 n 1 - 1.2 3...

A: To prove using mathematical induction first we need to show that the given statement hold for initia...

Q: 5. Consider the matrix -1 3 0 0 1 0 3 A = 1 2 (a) Find A-1, the inverse matrix of A by using your fa...

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Q: Hannah has 3 boxes of rice. one box contains 3 kg the second box contains 150 grams and the third bo...

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Q: An athlete runs 3 mi in 24 min. This athlete Choose. an athlete who runs 4 mi in 33 min. Choose. is ...

A: Given: An  athlete runs 3 mi in 24 min. An athlete runs 4 mi in 33 min.

Q: Consider the vector field F(r, y, z) = (x, y, 6z). Evaluate the surface integral I = [[; F · dS wher...

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Q: Evaluate the integral of the two-form w = (x8 + 2y) dx A dy over the region D bounded by the curves ...

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Q: Evaluate the line integral f. (2x – 4xy)dx + 3xy – 2x³y)dy over the straight path L joining point P(...

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Q: Theorom:- Let f-3GDCI); XoEIthen O TfaeR then a fisdefferantible at (a P) (xo)= QP(xo) D ft gisdiffe...

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Q: 8. Suppose that S = {v1,02, 03} is a set of linearly independent vectors in Rª. Answer the following...

A: NOTE: Since we are currently not providing any handwritten solution, the answer is given in computer...

Q: A company estimates that the weekly sales q of its product is related to the product's price p by th...

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Q: f:AxRxZ-> Rx R where. %3D is f injective ? is Prove it. f surjective?

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Q: How many 5 digit even numbers can be formed from the digits 1, 2, 3, 4, 5 if no repetition is allowe...

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Q: A sphere fits tightly in a cylinder. The surfac area of the sphere is 100 square inches. Find the vo...

A: The sphere fits the cylinder therefore the diameter of sphere is same as diameter of cylinder and he...

Q: Theorem 12. Let f be a non-zero continuous function on R such that f(x+y)-f(x) f(y) ♥x, yER. Show th...

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Q: Give an example of a vector space V over a field F, and of a linear transformation T: V –V that is: ...

A: A transformation T:V→W is injective(one to one) if each element of V mapped on distinct element of W...

Q: sin ot 0 <t < () = VI

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Q: Solve each of the following s determine the solution/s:

A: 7. The given set of equation is  3u+5v=156u+10v=-30 plot the equations on the graph  the first equat...

Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(æ') ...

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Q: The eigenvalues of the matrix A None of these 1 and 2 -1 and -2

A: Introduction: Eigenvalues are a subset of scalar values associated with a set of linear equations, m...

Q: x+24 - 2x−33 < 4 Find x

A: Given- x + 24 - 2x - 33 &lt; 4 To find- Find x

Q: Find an equation of the plane. The plane through the point (4, 0, 2) and perpendicular to the line x...

A: To find- Find an equation of the plane. The plane through the point 4, 0, 2 and perpendicular to the...

Q: 3D- %3D(3,1,5) and v=(2,-3,1).

A: Given,        u=(3, 1, 5), and v=(2, -3, 1)  

Q: (x*dx-xydy), wher hond

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Q: If S is a non-empty set of real numbers which is bounded above, then a real number s is the supremum...

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Q: 1. FILL IN THE BLANKS Given 7 6 8 7 2 0 4 A = B 05 -3 determine whether ABBT + 2A is defined and com...

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Q: Set A contains 19 elements, set B contains 22 elements, and 6 elements are common to sets A and B. H...

A: A set is a well-defined collection of objects, these objects are called the elements of the sets. Th...

Q: If S is a non-empty set of real numbers which is bounded above, then a real number s is the supremum...

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Q: Graphs of the velocity functions of two particles are shown, where t is measured in seconds. (a) Whe...

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Q: Julia used 36 cups to make her pyramid. If Tayson’s pyramid has 15 fewer cups than Julia’s, how many...

A: Julia used 36 cups to make her pyramid. And Tayson's pyramid has 15 fewer cup than Julia's , then To...

Q: 13. Let F (x, y) = (1(²y²)x, af(x²y? , a(y²) Y) and suppose that C is a smooth curve parametrized a(...

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Q: What is the domain of x↦ (1)/(x^(2-25)) ? b. Explore x-> (1)/(x-|x|) to determine what inputs, if an...

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Q: Write out the first five terms of the sequence, determine whether the sequence converges, and if so ...

A: Given,      an = n2 + 3n - na1 = 1,   a2 = 10 -2,    a3  = 18 -3,   a4 = 28 -4,  a5  = 40 -5by ratio...

Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

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Q: Solve the following problems, complete with free body diagrams, clear solutions, and complete final ...

A: The complete solutions are given below