33 Let z=atbi e C with a,belh and i the imaginany unit and define M28= Q -6 a Show that a) Vze C -{o3 : A(1/2) = M(2)-1 B) V2,e C: V22€ C-}o}: M(z./22) = M(2)H(Z2)!

Q: Let ʼn be a positive integer and let u(x, y) = (x² + y²) Show that where C' is a constant depending…

A: ux,y=x2+y2n∂2∂x2+∂2∂y2ux,y=Cx2+y2ux,y

Q: Sketch the graph of the function and express the function in terms of the unit step function, u.lt).…

A: We will find out the required values.

Q: 4) [ (2– t)/tdt xdx 5) o Jr+ 2x 2

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Q: VX-2 H Evaluate dy/sx if O y=1X+1)“ Szx-1 at x=\ V(X+3)3 atメ=1 at X-3

A: Reupload other questions according to bartleby guidelines

Q: Assume that n(U)= 85, n(A’ intersect B’)= 19, n(A’ intersect B)= 22, and n(A intersect B’)= 23. Find…

A: Given that n(U)=85, n(A'∩B')=19,  n(A'∩B)=22,  and n(A∩B')=23. We need to find, n(A∩B) and…

Q: Show that x +2 and oe) = *+6

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Q: Q4. Let flW=( Gué-4u-7) (4ax4 -8x#+15) Find tle regueetad closiuadtiul (10)

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Q: Q3) If f(x, y") = x + y? + Vãy find: af(x²y) and Ty) ду afxy)

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Q: 4y² Given the function f(x,y)= find each of the following. SIMPLIFY A) f,(x,y)=. B) f,(x, y) =- C)…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Let plx)= 6x f(x) f"(x)= f"(-2) = 5-3 %3D 2.

A: Recall: dxndx=nxn-1

Q: [2 1] Q2) Assume A = |1 3 L3 4] [2 4 6 4] ㅋ 4 and B = 13 show that (AB)' = B' A'

A: Solution: The objective is to show that the given relation

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Q: What are the coordinates of C' after its preimage, C(5,-3), is reflected over the x-axis? O (5,3) O…

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Q: ) Differentiate: Y(u) = (u-2+u-³)(u³ + 3u?) и и

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Q: (b) Let X = {A E Mat2(R) : A is upper triangular} and let Y = {A € Mat2(R) : A is lower triangular}.…

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Q: ジ.キウー。 *り6)e o)。 3-

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Q: If X = U+v , y =U-V then Show that + 2 du? = 2) ( %3D nene Than ded uce that wok cu+ v*+ (u+v) g…

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Q: If y=t3, then y(6)+y(5)+y(4)+(1/3)y'=y? What is the power of y? a) 0 b) 2/3 c) 1/3 d) 3 e) 2

A: Differentiation of y with respect to t can be given as:

Q: Prove that i 224 s 2xP for xzO, y zo i and 1 t L-l with p>

A: Given that x,y≥0. And 1p+1q=1 with p>1. Consider gx=xpp+1q-x. Then g'x=xp-1-1 and g'x<0 when…

Q: Combine the regularization method with any other method to solve the Fredholm integral equations of…

A: Given: The Fredholm Integral Equation of the first kind is given by:…

Q: az əz az p?(r+1) Q2: Find if you know that : z = др + pre2p+3r+4t ar 'at t3

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Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

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Q: f) = Vx?+4x+4 9=3 Find (f") (@)

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Q: cancer u alcurate 5th on diagnostic test is 9s 2 those who halse A 'cancer cnd on those wno do not

A: Given that, As the test is 95% accurate for both who have cancer and who don’t, therefore the…

Q: az az + x əx %3D Let z = f (x² – y²). Show that y ду

A: The given function is: z=f(x2-y2) Now partially differentiate above with respect to x and y,…

Q: ) Sind dy if : Sincu, u= x

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 9/Express flx) in the form fCx\=(x-K)q(x) tr for the given value o f k ):子メー5x3 -12x°-X; K3 -5 9.…

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Q: Suppose Cov(X,Y) = 419. What is Cov(19X, 71Y)?

A: The objective of this question is to find the covariance of the two variables 19X and 71Y given the…

Q: Q4\ If A(x,y, z) = 3x²i + 3zj – 3xk find the Div (Grad A). %3D |

A: Explanation of the answer is as follows

Q: Suppose Cov(X,Y) = 821. What is Cov(6X, 4.7Y)?

A: The objective of this question is to find the covariance of the two variables 6X and 4.7Y given the…

Q: Show that 1 1 2 y? 2 = (y? – *)(2² – a²)(2² – y') 4,

A: We have to prove that  We will it by using the properties of determinants.

Q: F(t) = A ₁² +B+³ 2 3 t

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Q: use implici't differen tiatiom to brind dyldu at the pont (2,2) = 1+y" エ+Scu

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Q: 1 3 For V Vy evaluate y' when y = 4. A) 4 B) -4 C) -2 D) 2

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Q: The function f)= 2 Vx-3'+6 is not one-to-ane. O True O False

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Q: Find f) af lia fallowbngi G-7) (x?- 3x' + 24). 5) a) 2. 4) for - 6) Im Cx -3) In 5x -5%

A: Hello! thank you for the question since the exact one is not defined, we'll able to solve only three…

Q: Find y " if y = 2x sin x. O A) y" = - 4 cos x + 2x sin x O B) y " = 2 cos x - 4x sin x C) y " = - 2x…

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Q: that uni, o wthat (h) 3.

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Q: 16. Where does the smallest value f(r, y) + 3ay + y occur on the rectangle (-2, 2) x (-3, 1]? a) It…

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