Since it is known that x² + y?= c?, write the expression below in terms of c2 - 2x* - 16y* - 16x'y? + 8x² + 16y² - 2xy

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A: As per bartleby guidelines we only give first question answers.

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A: To solve the integral, the formula of the "by parts of integration" will be used, that is,∫u v dx =…

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A: We will solve the following

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Q: i) -21y² + 4xy + z². k) 424-20³-96x². j) 21²-201-22. 1) z²z+13x+36z.

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A: We can find the answer as below.

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A: SOLUTION IS GIVEN BELOW

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

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A: We will apply the properties of inner-product to prove the given statement.

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Q: what is perpendiclar to AX+y-5=D0 and contains points (2,3)(-212)

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Q: Now it is mentioned that R >> A. So we can also say that 2R >> A. Hence 2R + A× 2R.

A: If x≫y , then it can be said that the quantity x is significantly larger than the quantity y .

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A: Let's solve derivative of function  and maximum value of given function.

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Q: Help

A: 16) Given: x=5y-3 and y=-2a3 To write x in terms of a, substitute the value of y in x

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A: When two triangles are similar then their side ratios are proportional.  So we get relation  MPQP=…

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A: Given integral I=∫3y-2y2+2y+17 dy some formula  ∫1a2+x2 dx=1atan-1xa+C∫f'(x)f(x) dx=ln(f(x))+Cwhere…

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A: This is a vector problem

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Q: (9xi – 3yj ㅠ S x² + y² + 7² = 9 is 2

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Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

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A: Given The given differential equations are (A) (1) 1-x2y"-2xy'+2y=0 (2) y'=-2xy (5) y'-y=0

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A: A detailed solution is given below

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A: f(x)=lnx2+12x3 We need to find the derivative of the given function.

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A: To find out the definite integral.

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A: given that ddxxn=nxn-1

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A: Differentiate (a) y=ln2x2+4 (b) y=lnax2

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Q: {6} = I ( (b) T = [4,9) %3D (c) T = [-4,9] -

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Q: x2 + (3y ÷ 6) − z  when  x\ =\ 9x = 9, y\ =\ 8y = 8 and  z\ =\ 11z = 11

A: x2+(3y÷6)-zx=9 , y=8 , z=11

Q: トン メ+??-9 zy +3=8 4X -3y =-2 Ans / X=1 ウ-2?こ4

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Q: Show that: If Iz| = 1, then: %3D z3 + 4z? – 4| Im < 3 z + 4

A: Since |z|=1 Let z=r(cos∅+isin∅) ⇒|r(cos∅+isin∅)|=1 ⇒r=1 Now

Q: 53. (a) ct = 3cr? (b) (5z + 4cz?) = 5 + 8cz d - ct³ dt d (c) (9c²y³ – 24c) = 27c² y² dy

A: we have to show that,a)ddtct3=3ct2       b)  ddz5z+4cz2=5+8czand c) ddy9c2y3-24c=27c2y2a)…

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Q: 14. If u(x, y) = x² cosh(xy² + 1), evaluate in the simplest term the expression ди ди 2x - y- əx ду

A: Given u=x2coshxy2+1

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Q: -2 2 dy 7e" + 5. -5

A: Given :∫-5-27ey+2ydy

Q: (b) Evaluate [(2.x+5)/x² +5x-8 dx, by using substitution method.

A: We use substitution method

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.