Show that a sheet of paper of area A cm² can be placed on the square lattice with period 1 cm in such a way that at least [A] points are covered.

Q: A natural cubic spline S on (0,2] is defined by Jsin - 1+2-r. S) = if Osr<l. |S,0) = 2+ b - 1) + cư…

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Q: O FIND THE レ-く,2,3> VOLUME oF TAE PARALLELEPIPED VECTURS WITH V = <4,10,87 w = <1,0,17 and AS ADJA…

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Q: If a is a similarity of ratio r and A, B, and C are distinct non-collinear points, let A' = a (A),…

A: Given information: and  are non-collinear points. is a similarity ratio . and  are the non-collinear…

Q: The value of cos8n from the unit circle is (0,1) t (1,0) (-1,0) (0,-1) a) 0 b) 1 c) – 1 d) undefined…

A: Folow 2nd step.

Q: A car leaves Smogtown at noon, heading west at a speed of 60 km/h. Another car heads south at a…

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Q: 12) Show that D. ldi-del is shortest distance bet uleen ax-by+c2di i and ax+by tcz =dz?

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Q: Two objects are represented by the tuples (18, 3, 22, 15) and (20, 4, 16, 8): Find the following :…

A: Given : Two points (18, 3, 22, 15) and (20, 4, 16, 8)

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-…

A: Solving two equations

Q: 22 Calculate the value of the integral over the following c curves, a) C:l2+1| =1 c) Cil2+il = 1.4…

A: As per barlteby guideline for more than one question asked only first three are to be answered…

Q: prove that for any arrangement of 31 figures on a chessboard, there are 3 places on which there are…

A: As there are 64 places on a chessboard, after filling 31 figures, there will be 33 vacant places.…

Q: The fractal C is constructed as follows. (i) Begin with the line segment Io = [0, 1]. (ii) Remove…

A: (a.) Find the total length of the intervals removed from 0,1after three iterations. The fractal C or…

Q: which equation has al siope of 2 and contains (-1,-1)? a y-1 = 2 lx -) c) X -1 = 2ly-1)

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Q: Consider n coplanar points. Find the maximum number of circles that we can construct using thecircle…

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Q: Graph the Pollowing? Cardicids (r=l - cose)

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Q: Calculate the minimum shadow length

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Q: Suppose that 30% of all students who have to buy a text for a particular course want a new copy (the…

A: Given that  Let X denotes the number who want a new copy of the book  Since sample size=15  The…

Q: Solve the differenlial =* +y+Xy equa lion with initial condilion yco) = -I , andOSK<2 with step long…

A: Given y′=dydx=x2+y+xy, y(0)=-1,h=0.4Here, x0=0, y0=-1, h=0.4 , xn=2

Q: the anea af Hhe iangle withe the vertices Alogogo), B=(211) C= (2っ33) %3D

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Q: A triangle ABC on the pseudosphere H has all sides of length s (so it is equilateral). Let the…

A: In hyperbolic geometry, where the pseudosphere ( H ) resides, the relationship between the sides and…

Q: of the negida cut from the first aree 2- Find the quadrant by the regiön r= I+Sin@ ?

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Q: OGraph fas =x on Iq2] and shede Lhe rogion and the R-axis, For m=2 egual hubintervals, draw the…

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Q: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

A: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

Q: - S/ The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a…

A: It is known that, two lines are perpendicular if its meets at right angle. That is, the angle…