Find each fAc) using synthetic substitution. 4 3 12. f(x) =5x + 10x* + 3x + 8 – 6x – 3; c= 3 (SHOW WORK) -

Q: if y3-3ax2+x3=0,then prove that y2+ 2a2x2y-5=0

A: Let dy/dx= y1 and d2/dx2=y2 And We will use the product rule of differentiation.

Q: 4. If x²-2√3x + 1 = 0 then, a.Show that, x² - 2√2x-1=0. 14 b. Find the value of x¹4 +1 X X c. What…

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Q: Let h(x)=(x2−3x+2)/(−x2−4x+4,) what is h′(−5)? Do not include "h′(−5)=" in your answer. For…

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Q: By cardanos method x^3-6x^2-6=0 is r1=y-a/3 and a=-6 find y

A: Given, x3-6x2-6=0 where x=y-a3 and a=-6. We have to find y.

Q: 3 2 х—5х +6х —18 4 - dp- x²-3x? 2 х —Зх

A: *to solve the given integral using partial fraction.

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

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Q: 6. Let v1 - 5 and v3 Does R³? Why or why not? V2 = %3D -2 %3D - 5 - 15 - 10 II

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Q: if y3-3ax2+x3=0 ,then prove that y2+2a2x2y-5=0

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Q: 5.f (x) %3D In(4x3 — х2 — 2х + 5)

A: Given the function,  f(x)=ln4x3-x2-2x+5 Differentiating the function with respect to x,…

Q: How do you solve this equation?

A: Given,

Q: x2-2x х3 - 3х2 A - In Ix-3x² | + C C In Ix - 3x2 |+C BIn Ix - 3x2 I + C D In I x 3x² | + C A B.

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Q: 1. Find a result by using variable separation 101 b- y³y+x³=0

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Q: - (10, 7); 5x-6y = 18 m- %3D とーX5=h 5x+16 (01-x)3こレス G

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Q: 15. Find x so that m || n. (5x – 20)°

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Q: 4 9 5- .2 13) =D1 7 2+-+ X x²

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Q: 12 +3t-4 and 3t2-3 9.) Suppose that x = 3x 10

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Q: 5 f(x) =- . If 4х — 3 =AV 4x - 3 +C, for constants A and C, what is the value of A? Suppose %3D

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Q: 2 has a X 2 X

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Q: Use SYNTHETIC SUBSTITUTION to find P(c) for 3 P(x) = 4x + 2x2 – 4x + 6 and c = - |

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Q: Q 4. (a). Show that fog = 4x² – 1, if ƒ(x) = 4x – 5 and g(x) = x² +1.

A: a. Given: The functions fx=4x-5 and gx=x2+1, To find: f∘g=4x2-1, Formula used: (f∘g)(x)=f(gx).

Q: x-3x-7 1. C(x+1)*| (2x+3) 6. 3 - In (2x+3)(x+1)** x+1

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Q: Let a > 9 be a constant. Evaluate 3z2 + 30x + 30 + 4a dz (3x + a)(x² + 6x + 10)

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Q: Find The valu eo of a and b :for: Fcr): X-2 7 7X d! ax²-bx+3 if 2<x<3 2x -a +b if x3

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Q: A² Show that w'= -9-7x - 15x² can be written as the Linear combination of U= 2 + x +4x²₁ V = 1 =…

A: Given that W'=-9-7x-15x2. Show that the given equation  can be written as the linear combination of…

Q: What happens to y=fx) when you replace y with -4y? O vertical stretch by a factor of 4 and a…

A: Vertical stretch: The graph of y=dfx is the vertical stretch of the graph of y=fx by a factor d,…

Q: 9. When -6x - 7x + qx- 12 is divided by 3x - 4, the remainder is 0. Find the val

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Q: 5/ (2xsin x +3cos y)dr- 3xsin ydy = 0

A: Please rate.  Exact differential equation

Q: N. 2 CEl ! Ctrl 5. A company that sells widgets determined that, in order to sell x widgets, the…

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Q: If y3-3ax2+x3=0,then prove that y2+2a2x2y-5=0

A: Solution of this question is

Q: Evaluate +3 +C 3 3 arctan 6 A. C. -arctan- 2 +C 6 x² /3 -arctan- 6 x² /3 V3 В. -arctan +C D. +C 3 2

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Q: A project management consultant estimated that if a particular project was completed t years after…

A: We have given N(t)=t3/3-4.5t2+16t; 0≤t≤10

Q: 1. (18pts) Find / simplify each: V100x*y7 + V54xy2 3 4 1 -2 2y5 2x4 205x V10x2 Rationalize * 3 1…

A: Simplify

Q: 1. Use the chain-rule and find x and ÿ in terms of x, i, and ä if: а) у3 4x? b) y= 10x3

A: To find y" in terms of x, x', x".

Q: 8. (S.15). Write P20 = x2 +2x – 1 as a linear combination of the polynomials P31 = x2 – x – 2, P22 =…

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Q: 1. Find the first-order derives: III. y = (2x* – 5)(3x5 + 12) IV. V4x? + 7+ 5-x° + 15x – 30 5x+ 4x3

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Q: Given: 5e-x-6e-3x Find: u O 5e-x - 6e-3x 5e2x – 6 5-бе-2х V5e-x - 6e-3x

A: ∫ex5e-x-6e-3x3dxSubstitute v=ex→dvdx=ex→dx=e-xdve-3x=1v3e-x=1v=∫15v-6v33dv

Q: Q2/ (A) Evaluate 4-x x3 2 dydx 4-9 Ans. 16 8 e

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: max F(x1 ,x2) = x,x3 subject to 6xỉ + 3x = 72

A: Let the given function be  F(x1,x2)=x1x22    ….(1) and  G(x1,x2)=6x12+3x22-72=0    …(2) From…

Q: 18. y = x² + 9 and y = 10 + 2x over z = [-1,3]

A: The graph is shown below

Q: x²-12px%=D6p(x-22 %3D 2.2.1 5a2 -2'5 b2 -5(a²-5b²) ー4 (at2) (x +2) %3D 2.2.2

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Q: 11. If f(x) = 2x² + 7x + 3, show that ƒ(b + 2) = 2b² + 15b + 25. %3D

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Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

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Q: 1. Examine (2x - y)15. Explaim coefficient of the x y' term.

A: Consider the binomial expansion of (ax+by) to the power n. The co-efficient of any term xpyq will be…

Q: Evaluate h(8), where h = gof. Ax) = Vx-7, g(x) = 9x³ + 7 9x + 7 h(8)

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Q: 11. 4x – 7x, = b, X1 + 2x2 = b; (i) bị = 0, bz =1 (iii) b = -1, by = 3 (ii) bị = -4, bz = 6 (iv) bị…

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Q: AB is a midsegment of AXY Z. If ZB 3p-4 and BX = 2p+20, what is the value of p? %3D %3D A Зр — 4 2p…

A: For the given Triangle XYZ  AB is the mid segment  ZB = 3p-4 BX= 2p+20 p is calculated as shown…

Q: If fx) = (1 - x)? and g(x) = 9 - x, find Ag(x)) and g(fx). Ag(x)) = g(fx) - -8 + 2x – x? %3D

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Q: FIND B-A, GIVEN THAT A= {x ∈ z+ /2 <x<6}    B={x ∈ Z- / -6<x< - 2}

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