Q3/ Evaluate grad d, If In(x+y+2).

Q: What will be our X1 if X2= -2, y1= 5, y2= 3 and our distance is 15?

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Q: / Determine the length of y = (8x + 3)2 from (11)/2 s y s (27)/2?

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Q: tHons algebraically. 2. 3x - y = 4 2x + y = 11

A: Given, The system of equations  3x-y = 4  2x+y = 11  We have to solve the system of equations…

Q: Find the particular solution for: 3x²y' 5x - 6xy, x 2 when y = 1 %3D

A: This is linear differential equation. We solve it by finding integrating factor.

Q: 7 --y2 Then 2 5 Q2: If z = –x² az + 5x ду az 7y ||

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Q: express on J5 by Jo & J1

A: This problem is solved by the concept of recurrence relation

Q: 1-r-y C * (r* + y° +:')}dzdydx 14

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Q: art of z- 2z, if z = a+ib ?

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Q: (3x – 7Y (x+ 5)° x is equal to ?

A: Alternating angles of two parallel lines are equal

Q: 7. (D² - 2D + 2)y = 0 8. (D² + 9)y = 5e* - 162x 9. (D² + 9)y = 5e% - 162x?

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Q: Given that y = 3t^3 + 7 and x = t2 – 1. Find y’ when x=2. Express your answer in whole number.

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Q: if y=(x+1)(2x-√x) then what is y?

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Q: Explain how to get y=kx+b from y=x, and how to get y=ax^{2}+bx+c from y=x^{2}

A: Transformation of the function  f(x)+b shift b units upward f(x)-b shift b units downward…

Q: Y(2) 16z %3D Z. (2+1) (42-1) (2г—1)

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Q: Given that y = 6t^3 + 5 and x = t2 – 7. Find y’ when x=7. Express your answer in whole number.

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Q: 2- M ke 2.

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Q: Solve the system.

A: Solution: Consider the given system : 3p - q = 7       ... (1)-12p + 4q = 3     ...(2)  We have…

Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

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

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Q: C-1 s2 + 4s + 5,

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Q: express your answer in terms of x, where y = y(x).) = 1 3 + y = -3 (x, y) =

A: Given: x4-y3=1 x3+y=-3

Q: Assume that x² + y² = 4xy. Then y' Select one: True False 2x-4 4+3y²*

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

Q: 14 5x - 21 16 2r + 3

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

Q: O Show that y= 35x' - 30x² +3 satisfies (1- x )y"-2xy'+20 y = 0.

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Q: O let メ~fx} 4. 3くX<3 eaw finet M8 2.

A: Given : f(x) = 16 , -3 &lt; x &lt;  3 mean = f(x)n variance = ∑i=1n(xi-x )2n-1

Q: iv is analytic = -11..

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Q: (a) y' = = ing 3t²y y+1' are probler y(2) = 1 biems

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Q: 2: 2x, + 5xz hjecked toi X-Xz77 。冬以ハメ

A: Here you didn't given that the problem is minimum or maximum.

Q: .What is the set of points given by (a) x² + 2xy + y² = 1 (b) x² + y² - 2x + 4y + 5 = 0?

A: To find the set of points satisfying the given relation.

Q: 2. 2y + 4z = 6 4x + y - 3z = 1 3x – 8y + 2z = 2 13

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Q: *5. Consider ry² + x°y = 6.

A: We have to find the derivative

Q: If 2x² + 3x + xy = 3 and y(3) = — 8, find y' (3) by implicit differentiatio

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Q: 6. The domain of y = v1 – x? is

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Q: 7 If X = 5.5 4 -1 3 -V2 2 Find X-1

A: We will find out the required matrix.

Q: π 9- y² dy y 2 π 6.

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Q: Given that y = (2e - 6x +5), show that

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Q: 4. Perpendicular to x - 3y = 2 and passes thru (-3,5)

A: given that a line is perpendicular to the line x-3y=2 and passes through the point (-3,5). we need…

Q: 2x 2x is equal to 2-3x+2 r-1 r-2 r-2 O True OF.

A: Given query is to find statement is true or false.

Q: Express b¹yy, in the terms of x variables where y, cx, and b¹c₁k = 8½.

A: Given: The expression is bijyiyj.  To express: The given expression in term of variable x. It is…

Q: 9. For Ax) = -4x+2, find (x) when x==1. %3D а. С. 2 b. -2 d. 6

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Q: What is y′(x) when y(x)=(2x)^8?

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Q: yA x= y² – 4y (-3, 3) X x = 2y – y?

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Q: Verify that * / II 21 ?х ду 224 ду ох - for f(x, y) = 4x4y3 - 6xy5.

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Q: If 4x² - y² = 64, show that ds² = 1/2 (15x² (5x² - 16) dx².

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Q: 12y (2x +3)° (3x-7) 4(2y + 7) y%3D Page I54 to search

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Q: Evalunte: 2x-3y'+2 when X=2 and y=-3

A: To evaluate the given expression

Q: X+4y-z=-5

A: As per our guidelines only first question is solved.

Q: iv) If y=ax' -6x² +bx=4 has a point of inflection at (2, -2), what is the value of a+b?

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