AABC is transformed using the rule (a, y) + (2x, 2y), centered at the origin. The new triangle created is AA'B'C" but not shown.

Q: Ez fand Pi) Pow = * in Tesm of Po, Pg

A: For a function fx, it is known that  fx=∑kAkPkx                        (i) Where Pk is the Legendre…

Q: Name three points Coplanar with point A

A:

Q: Find the Hhe Teast square doluticn E of -6 -7 La %3D ->

A: From A we can write AT = 100010 ATA = 100010100100 = 1001

Q: 2- In order to read his book, Stephen uses a pair of reading glasses. When he bolds the book at a…

A: Solution

Q: (d) Compute curl F.

A:

Q: 47. Sketch the triangle with vertices at the origin 0, P = (3,3,0), and Q = (0, 3,3), and compute…

A: The triangle OPQ formed by the three points P (3, 3, 0), Q (0, 3, 3) and origin O (0, 0, 0) is shown…

Q: ALMN, S is the centroid. If SQ=22 find LS.

A: Here we have been given the measurement of SQ = 22 and S is the centroid.

Q: thus. d the point on he sphere X+y?+=4 Selution:- ans.-

A: We use Lagrange Multiplayer method.

Q: Suppose z = e23"/4 and w = 2e"/4, find 2 and express your answer in rectangular form. %3D

A:

Q: Transform (4, 7/3, ) from spherical into cylindrical form (here o is any angle).

A:

Q: AA' B'C' is the image of AABC under a dilation. Which point is the center of this dilation?

A: The corresponding points of both triangle are concurrent with the center of dilation.

Q: Identify and sketch the solid figure that could be formed by the net.

A: 4. To identify the solid figure formed by the netof squares

Q: Calculate the area of the triangle defined by u = (1, 6, 2), v = (3, 0, 5). [A3]

A: Here we have to calculate the area of the triangle having vectors,  u→=(1,6,2) and v→=(3,0,5)

Q: In AHIJ, ZI ZH, HI = 14 and JH = 15. Find the length ofIJ. %3D

A:

Q: Find the length of the cardioid r = 1 - cos θ.

A: Arc length in polar coordinate is given by:

Q: 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that…

A:

Q: The base of a three-dimensional figure is bound by the circle x² + y? = 16. Vertical cross sections…

A: Given  x2+y2=16y2=16-x2y=16-x2

Q: 6. Given a rule x² + y? = 9, its image rule x² + y² – 2x + 6y + 1 = 0 under a translation, state a…

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Q: mathematically prove that the earth is spherical

A: We can prove that earth is spherical by comparing the shadows. The first person to estimate the…

Q: A farmer wants to increase the triangular arger similar triangle. Using the informati ne used in…

A: Given: A farmer wants to increase the triangular area he has fenced off for his cattle  to graze…

Q: Consider the right rectangular prism. 144 units 8 units Y 15 units What is the length of diagonal…

A: The height of right rectangular prism is h=144 units. The length of right rectangular prism is…

Q: 5Tt in standard position. 6. Sketch 0 %3D

A: Given: Angleθ=5π6, To sketch: The given angle in standard position.

Q: C D. Looking again at the roof of Coolidge: GIVEN AB = AC, AD bisects BC. Explain how you would…

A:

Q: Evaluate ry dr + r'dy, where C is the rectangle with vertices (0,0), (3,0), (3,1), and (0,1)

A:

Q: 8. Classify the following triangle based on its shape. C isosceles equilateral scalene right A,

A: There is right angle between sides A and C.

Q: In(x + y) dA where R is the triangle with vertices (1,0), (1,1), (0, 1).

A: Let - I=∫∫Rln(x+y)dA Where R is triangle with vertices (1,0),(1,1),(0,1) Equation of line joining…

Q: |A" |= |B |,implies that A=B" %3D ylgn ihi

A: Use the property of vector and their modulus.

Q: at.p.(I,.0)..and. the directiun. in. whichit.occurs

A:

Q: Find the isogonal trojedories of x*+y? =r at 45",

A:

Q: Write down the parametric equetions |3D 4=6-t in cartesion Form

A:

Q: What are the (x, y) coo

A: we can find the coordinates using the trigonometry- x = rcosθ = cos(2π/3) = -0.5 y = rsinθ =…

Q: Below A JKL was rotated 270 counterclockwise about point J to create AJ'K'L What would be rule that…

A: Given:

Q: ) convert the eylindrieal pt (3, 7%,-2) to rectomgular ) conrert the nectamgular ) to cylindrical

A:

Q: Find the direct and opposite plane motions that map AB to ÁC where these three oints have the…

A:

Q: obtain the value of b. regaring e conomethies and the forme 4= bo t bi Xi Y=bot bixitei

A: For the given linear regression line and its estimate: Y = b0 + b1Xi + ei y^ = b0 + b1 Xi We need to…

Q: A wire ACB passes through a ring at C, which is attached to a sphere rotating at constant speed v in…

A: Given data   and  v=8 ft/s Apply equilibrium equation ,

Q: 9. mZA = 46°, BC = 9, AC = 24, find mZB. %3D %3D %3D

A:

Q: In AXYZ, mzx = 37° and m2Y = 53°. What type of triangle is AXYZ? O Scalene Triangle O Acute Triangle…

A: Given that in ∆XYZ,∠X=37∘and ∠Y=53∘.We have to show what type of triangle is ∆XYZ. (a) Scalene…

Q: A cross section of this oblique cylinder with circular bass formed by a horizontal plane…

A:

Q: The distance from (7,-8, 5) to yZ-plane is OA. 138 O B. 5 OC.8 OD. 89 O E. 7

A:

Q: In The following diagram, Ihe point A lhes on a crcle contred at the arigih. A= (3, 4) 3. 2

A: Consider the given information.

Q: Evaluate: |2 esin dx, for n=8 using (a) Trapezoidal method, (b) Simpsons Method

A: The given problem is to evaluate and approximate the definite integral using Trapezoidal method and…

Q: QT is the midsegment of the trapezoid RSUV. If RS = 62 and UV = 92, what is QT? %3D %3D U V QT = %3D

A: Given, RSUV is a trapezoid  QT is the midsegment of trapezoid RS = 62    and   UV = 92  We have to…

Q: Here are four triangles that have undergone a different transformation. Which image does not show a…

A: Rigid Transformation- This is a transformation of the plane that preserves length. Reflections,…

Q: Find the center and the radius r of the sphe S: a +y ++ te + 8y – 8z = -11 82 -11 %3D

A:

Q: Determine the rectangular form of z (1 + i)!-i

A:

Q: 5- ABCD is a trapezoid whose diagonals AC and BD intersect at the point E. If AB=2/3 DC, prove that…

A:

Q: the dis fance from Pla.y,z) to the origion o d and fe clis fance from Pto ACo.003) is de .writeian…

A:

Q: Enter the equation of the clrcle with the glven center and radlus. Center: (6, 0); radius: /7 The…

A: The equation of the circle with center (h,k) and radius r is   (x-h)²+(y-k)²=r²

Q: Find the COM of the laminas in Figure 26 obtained by removing squares of side 2 from a square of…

A: