Show that: Rsq (h) n i=1 | ((Yi — ÿ)² + 2(Yi — ÿ)(ÿ − h) + (ÿ − h)²) Hint: To proceed, start by rewriting yi - h in the definition of Rsq(h) as (yi − ÿ) + (ÿ − h). Why is this a valid step? Make sure not to expand unnecessarily.

Q: geč (5)

A: I used trigonometric functions identities

Q: -3æ + 5x – 2)- 2 (a – 2æ – 1) | f the expression above is rewritten in the form ae' + bæ + c, where…

A: Given: (-3x2+5x-2)-2(x2-2x-1)

Q: Verify the following statements is false by finding a counterexample. √ x^2 + 16 = x + 4

A: Verify the following statements is false by finding a counterexample. √ x^2 + 16 = x + 4

Q: Reduce to the form x + yi: logsin (-i+2) 2 40eπi

A: We have to reduce logsin-i+240e23πi to the form x+iy

Q: What does Sn represent in the following formula: Sn:a(r^n-1)/r-1 Give 2 reasons why r ≠ 1.

A: In the given question Sn represents that

Q: finD 1) 2) g(s (x) a) p(x) x?-2x+2 b.) g4)==3x t. %3D cl.) s(x) = x-1 4) Cx))

A: Given that px=x2−2x+2, qx=3x+1, rx=x and sx=x−1. 1 We have to find the prx. prx=pxUse…

Q: Evaluate lim,→1 ( 고-교) 2 x-1 x² –1.

A: Given that,limx→ 11x-1-2x2-1

Q: 3 2.)f x³ (4 + x²)² dx ; Use rationalizing substitution

A:

Q: 4x – 7y x - 2y Add: х — Зу - 3 Зу — х'

A: Given: 4x-7yx-3y+x-2y3y-x For adding given expression, we take L.C.M. and simplify it

Q: (x/x-3 ≤-7 or x − 3 ≥ −6] terval notation.

A:

Q: b) (9x²-6x+26) *

A:

Q: x-ビ ere S70 and --xe g 00ー

A: Integrate: I=∫-∞∞exte-x-ts1+e-x-ts2dx Evaluate the integral using substitution.     The following…

Q: Is Q closed over multiplication? (Y/N)

A:

Q: exp(x) = ex ?  Is it just a matter of notation, or does exp( ) mean something else?

A: Yes this is true exp(x) = e^x  exp(x) is command in coding language to type e^x

Q: (B) Evaluate f tan (7x +1) sec³(7x+1) dx.

A:

Q: (2xy s) 10x*y Sx*y (-243x*yy

A: Due to our guidelines I am solving only first three parts plzz repost other question.  1. (2x5y3z)2…

Q: (x²9) Lim X→3 (X+3)

A: To calculate

Q: 4. Prove that (2x+3y)(4x²−6xy+9y²)+(2x−3y)(4x²+6xy+9y²) is 16x³ equivalent to 1 for x = 0.

A:

Q: Prove that a b π √√(x − a) (b − x)dx : = (b-a)² 8

A: To prove that,  ∫abx-ab-x dx=π8b-a2

Q: Simplify (2u + v) x (2u - v)

A: The cross product of a and b is represented by the expression, a×b=a b sin θ n. Where θ is an angle…

Q: - A) -16x-5-x-2/3 C) 3 4) Find: d 4 dx x4 5 -4/3 B) ਪ੍ਰੈਲ-5-1582/3 D) - 1 5-2/3 433 3

A:

Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: 5x 60(x, +x,) 3 b) Y = In 60(x2 . 3,

A: The given differential equation:                                                 Y=ln5x1360(x2+x1)32…

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

A:

Q: 1. Expand the brackets a. X(x+2) b. X2(x+x2) c. 3x(x-y) d. 4x2(2-3x) e. X3(1+2x -x2) f.…

A: We can solve this by properties of power of polynomials xm*xn = xm+n

Q: Q2: Evaluate f sec²0 √tan²0-1 = do

A:

Q: 9. |(x – 1)² -

A:

Q: бх2— 2х +5 dx? 2х + 1

A:

Q: de J 2- 3sin(e)

A: Given that: ∫dθ2-3sinθ

Q: The dual of (xỹ +(x + 1)) * (0 +yx)) is ((x +y)x * 0)) +(1* (y +x)). O True O False

A: