ng) 1 k(x-a) + 2x -Z =0 k k (y-a) + 2y -2 -0 Ger %3D k(z-a) )-x-y +2z= 0 X: ak (k+3) k? +Ak +z of

Q: Find y'. y = (x2 - 2x + 2)(2x3 - x2 + 4) 10x4 - 20x3 + 18x2 + 4x - 8 O 2x4 - 16x3 + 18x2 + 4x - 8…

A: This question is based on Derivative of function.

Q: ine x and y such that -4 3 0 -4 + -3 x - y -1 -2 4 -4 3 2x + y

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Q: O Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D %3D %3D %3D

A: As per given data we can write f(0)= 13+1 = 2 f(1)= 23+1 = 9 f(2)= 33+1 = 28 f(3)= 43+1 = 65 f(4)=…

Q: f(x) =-2x - 4 if xs2 | 4x -9 if x> 2 f(-4) = f(8) = f(2) =

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Q: 5x3 + 6x2 + 2, f (0) 3 and f(1) -2. %3D 15. Find f for f"(x)

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Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: Let f(r) = 4x + 2 and g(z) = 5a² + 5x. After simplifying, (fo g)(x) =

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Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

Q: Evaluate. Use a capital C for any constant. 14(6z - 1) (62 - 2z - 1)° da %3D |

A: givenI=∫14(6x-1)(6x2-2x-1)9dx substitute 6x2-2x-1=uafter…

Q: Find A. C. d³y dx³ given y = 48(x²-3) (x² + 3)4 24x(x²-3) (x² + 3)4 2 x²-3 B. D. -48x(x²+3) (x²-3)4…

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Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

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Q: :) is one-to-one and f(11)=-9, then f(-9) = (f(11))-l =

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Q: Y=kx +3 for x

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Q: 2 v2x-x2 XY xydydx 0 0

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Q: 2.r +10 1. Let g(x) = 36 (x) = 5x+4, and r(x) = /6x + 13. %3D %3D (a) Find g(-4). (b) Find (f –…

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Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: 3x² – 36x² +33x = 3x(x² –12x+11) = 3x(x-11)(x-1) %3D %3D

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Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…

A: Ttt

Q: a. Find ux b. Find uy C. Show that u satisfies the partial differential equation xux + yuy = 3u. %3D

A: In this question we have to find differentiation for the for the following question.

Q: x(x +4)(5 – 2x) = 0 %3D

A: Given query is to simplify the expression.

Q: Problem 5.3 Limits and continuity a) Find the limits of 06 ( 12² + 1²1 ) 1+x+y lim COS (x,y) (0,0)…

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Q: Does S = {x² + 1,x² – 1, 2x – 1} span P2?

A: we know dimension of P2 is 3 so any set which span P2 must have at least 3 elements. here given set…

Q: 5-2x 13. f (x) = 3+2x

A: Given: f(x)=5-2x3+2xwe know that defination of derivative is…

Q: If P(A) = a and P(B) = b, then show that P(A/B) > (a + b - 1)/b.

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Q: x1 – 2x2 – 4x3 = -4 -x1 + 3x2 + 6x3 = 5 -3x1 + 6x2 + 13x3 12 xi = Ex: 42 : x2 = Ex: 42 : X3 = Ex: 42

A: System of non homogenous equation problem....

Q: if (r- 1) yf – y ==? (r – 1) then 4 y (2) – y(-1) = 6. 2 4

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Q: xy – 3y + 3x² – 9x =

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Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

Q: x2 – 3 f(x) = 3x +5 Select one: a. R\{-} b. R\{3} c. R\{o} o d. R\{}

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Q: If f(x) = 15 + x, what is the ordered pair for x= -15 ? %3D O (-15, -225) O (-15,0) O (-15,30) O…

A: Given , F(x)= 15+x  the ordered pair for        x = -15