2. Show that if x and y are perfect squares (that is, x = m? and y = n2, where m and n are integers), then xy is a prefect square. E

Q: Suppose A is 1x4, B is 2x5, C is 4x2, and D is 3x1, then the dimensions of E= DACB are: О 3х1 3x5 O…

A: size of matrix  option B is correct answer

Q: Below are problems you have solved before. Cc 3. Given: mzB = 42° and MLACD = 7° %3D Prove: mza =…

A:

Q: In real-number multiplication, if uv = uw and u # 0, we can cancel u and conclude that v = w. Does…

A: To explain: either v=w or give counter example.

Q: Show that: If |z| = 1, then: z' + 4z + 5 z2 + 5z + 6

A: Given: z=1 Then show that: z3+4z+5z2+5z+6≤5

Q: 11. If QM = 6x - 11 and MR = 2x + 9, find MN. %3D

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Dut Tilst we Exercise 1: • Show that SSE = sS, - §SS, Remember that partitioning the total sum of…

A:

Q: 1b) Given yadrilateral KLMN with K(-,4),L (2,2),Mlo-1) and NC-3,1). Verify that KLMN is a Square,…

A: Given: A quadrilateral KLMN with K(-1, 4), L(2, 2), M(0, -1) and N(-3, 1). To verify: The given…

Q: 5 Calculate, without using a calculator, the value of w in AWRK if r= 40 mm, R= 45° and W= 60°. Give…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3. There are three line segments of the following lengths: 4.5 cm, 5.5 cm, and 10cm Which statement…

A:

Q: The diagonals of square LMNP intersect at K . Given that LK =1 , find mZLMK . M 1 N MZLMK=

A: Diagonals of a square are equal and bisect each other at 90°. Implies, LK=KM=1 Let, angle LMK = x

Q: 5. Use finite differencesto determine whether e achrelation is line ar, quadratic, or exponential.…

A: We have to find if the table data represents a linear, quadratic or exponential function.

Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:

Q: Use the given LU factorization to find all solutions to Ax = b 0 5 1 0 0 15 A = 4 1 0 0 -2 |, b 54…

A:

Q: 2. Compute the value of | V25–x² dr

A: Given data:   The given integral expression is I=∫0525-x2dx.     Assume x=5sint, and differentiate…

Q: Show that [o 2] A 3 0 has no A = L-U factorization where L is lower triangular and U is upper…

A:

Q: 10.) PN= ON: N MN- LV=U6

A: As per our guidelines, we are allowed to answer only one question. So I'm providing answer to only…

Q: A least-squares line is fit to a set of points. If the total sum of squares is Eo, - = 9615, and the…

A:

Q: Use z = a + bị to show that z + 7 = 2a and z - 7 = 2bi.

A: Given: z=a+ib

Q: 16. As a generalized interpolation problem, find the quadratic polynomial q(x) for which q(0) = -1,…

A: let the polynomial q(x)=ax2+bx+c q'(x)=2ax+b since q(0)=-1(given) a(0)+b(0)+c=-1⇒c=-1

Q: Let a = (5, 4) and b = (5, – 8). Compute the dot product. a b

A:

Q: 4.51 Verify that BIBD with the parameter a = 8, r = 8, k = 4, and b = 16 does not exist.

A:

Q: 6. Use the Side-Splitter Theorem to find z given that NQ is parallel to OP. 3 N 18 24 M 18 5 4

A:

Q: With two groups, the square root of Fis equal to: O 1.0. Ot. O 0.0. 2t.

A: F ratio is the ratio of two mean square values. ANOVA means analysis of variance.

Q: Verify that A + B and AB are upper triangular.

A: Given,    A=32-10-43000    and   B=6-32024003 Recall that, The square matrix is called upper…

Q: The cross-products principle states that if 4 = , then ad = bc ab = cd ac = bd O ac/bc

A: Given that ab=cdTo find : cross product princple statesSolution:

Q: _, then m= If ym = (1/7)5

A: we have to find the value of m

Q: Theorem = 7 K 51 M 25

A:

Q: 3) If Y=aX+b, Show that Y has the same coefficient of skewness?

A: The skewness of a pdf can be measured in terms of its third moment about the mean and coefficient of…

Q: Show that if n e Z is a perfect square such that 3|n, then 9|n.

A:

Q: S is a cubic spline O True False ((x-1) + 3(x-1)² + 2(x-1)³ (5+ (x-2)-(x - 2)²-(x - 2)² 15x32 2<x<3

A:

Q: 23) The spade has a symmetry type A) Z2 B) D2 C)Z1 D) D1

A: Spade has reflection symmetry about the vertical axis.

Q: Let S,(x) = 2x³ – 3x² + 3x – 4, 0<x < 1, S,(x) = x³ + b,x² + c,x + d,1 sxs 2. Find b,, C1, d, that…

A:

Q: Evaluate ff xydxdy over the square with corners (0,0), (1,1), (2,0) and (1, –−1) (u + v) (u - v) 2 2…

A:

Q: In(z,) + In(-v3 – 1) = In(2) +i %3D

A: Answer

Q: Show that E(x-a) = E(x; -x) + n(x- a), squares about a = is smallest. other words, show that the sum…

A: The answer is as follows :

Q: 9. W is the set of all vectors in R2 whose components are rational numbers.

A:

Q: Prove that the area of a square whose diagonal has length d is A = A = 1/2d². A square with a…

A: A square has diagonal length of d, we have to find its area.

Q: Selve the fallowing euler Cauchy.eg:using net hed of variation? O xy.3x y+ 6X.y-6y= Xs,in X 2. %3D

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

Q: The entries of A are aij. Assuming that zeros don't appear. what is (a) the first pivot? (b) the…

A: A =aij  where aij≠0we reduce A in row reduced echelon form first pivot  element is a11 bacause every…

Q: (3) Let A be m x n (not need to be square). What is the sum of the diagonal elements of ATA in terms…

A: (3) Given that Abe m×n matrix (not need to be square matrix). We have determine the sum of the…

Q: 7. In quadrilateral FGHJ, FH and GJ bisect each other and FH = GJ. FG JH FJ GH What additional…

A: FH and GJ are bisector of each other.

Q: 2) Prove by using the pigeonhole principle that among any 17 points in a square of side one there is…

A: Given: A square of side one contains 17 points. To show: There is at least a pair whose distance is…

Q: 17. If 1 || m, mZ1 = (13x + 24)°, and m22 = (5x – 6)°, find m2. %3D 2 t

A:

Q: Suppose A is 1x4, B is 2x5, C is 4x2, and D is 3x1, then the dimensions of E= DACB are: О 3х1 O 1x2…

A:

Q: 7. Find a direct way of showing that the (2, 2)-entry of a 3 x 3 magic square with weight w must be…

A: Use the common form of 3×3 square matrix with weight w  to find (2,2) entry

Q: 2. In OABCD, ZA = x, ZB = 2x +60. ZD = Draw a sketch to help you.

A:

Q: -:find sup (A) and inf (A) when A= (y = 2x + 1, x € N, -10 < x < 10}

A:

Q: show thatt elipoid at makimum volum e s ephere y2 22 az V= 4ñabc

A:

Q: Show for Re(z) > 1 -dr = r(2) ((2). %3D et - 1

A: