23) f(x) = -x2 - 2x + 8 A) (0, -4) B) ( 8, 0) C) (0, 8) D) (0, -8)

Q: Solve 4sin^4 x -3sinx=0 if x ϵ [0,2π)

A: This question is related to trignometry, We will solve it using given information.

Q: 4. 21 - 4q + 42r - 16 = 5. 19st - 6s +t = 6. 107 + 107x - x =

A: Topic:- algebra

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

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Q: 9. Integral (2x-5) ai x² = 5x + 3 -

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Q: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent

A: Show that the equation x-4y+7z=14 , 3x+8y-2z=12 , 7x-8y+26z=5 are not consistent  We use Cramer's…

Q: Suppose that | f(z)dz = 2, | f(z)dz = 1, %3D [ 9(2)dz = - 5, | 9(2)dz - 2. Then, | (=) – g(2))dz =

A: Given: ∫25fxdx =2, ∫23fxdx =1, ∫25gxdx =-5, ∫23gxdx =-2 To evaluate:∫35fx-gxdx We know that…

Q: a) Lin 5) x2+2y2

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Q: Evaluate fx - sec2 (5 - z) dz.

A:

Q: Determine whether 8ory-- ∞ as メマ- co and x→。 2. y= -3x°-5x²+7

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Q: Qil If y , Show that y=2x- 2y3

A:

Q: tion 20 +4)/2 = > aj,æ“ for || then 16a3 2 k-0

A: We have to find the value of the given condition

Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Given, y=(x+2)/(x-2) Then,dy/dx will be

Q: Evaluate intergral  (ax)/(x2-bx) where a and b are constants

A: The given integral is ∫axx2-bxdx.

Q: B. Use Cramer's Rule to find the solution to 2x1 + x2 + x3 = 2x1 – 3x2 – 3x3 = 3 - - -2x1 – 2x2 +…

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Q: 2/3 Lal(2x²4). (2x+3 3

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Q: Show that Live - de = In(V5- 2). -1 Vx2 + 2x +2

A: We need to show that, ∫-11-dxx2+2x+2=ln5-2

Q: 2. If 4x² – 9y² = 27, show that y" 9y5

A:

Q: Suppose that x, y and z are three positive numbers whose sum is 100 If P denotes the product of the…

A: Given,           Suppose that x,y and z are three positive numbers whose sum is 100.           Also,…

Q: Find the general solution of the fifth-order DEQ. 2x(5) – 7x(4) + 12x" + 8x" = 0

A:

Q: 1. Differentiate: y = 3(x²-1) A. (In 3) 3(x²-1) B. (2x) 3(x²-1) C. 2x (In 3) (3**-1) D. x²(In…

A:

Q: 30x +31x2 - 25x 6 Ehe domain of f(x) = \ 1213 59r2 11la + 30

A: Given function is fx=30x3+31x2-25x-612x3-59x2-11x+30.

Q: Let x³ + yª + 8x + 3y = 7. Computeat (2,1)

A:

Q: 4.x +1 1 with f'(x) = 1/ 56x2 - 156x + 115 14x – 19 - - 3. Let f(r) = and f"(x) 4 %3D 3 5 Vr2 – 3x +…

A: To find the points on which it is concave up or concave down

Q: and こ=< ,フ-<o,-1y. where %3D Pind マf(2)?

A:

Q: 13, find all the ze 12. f(x) = 3x³ + 14x² – 7x – 10 %3D -

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Differentiate the following (choose two only )( 5 .. ) 1)2xsin-13x x+1 2)y = In Vx-2

A:

Q: Determine the upper bound on the error in the approximation – 16x5 + 256x° if |x| < 0.2 - 1+16x4

A: Given:x1+16x4 ≈x-16x5 + 256x9

Q: 1) x² + 9y² + 9z² = 81 2) 9x2 + y² + 9z² = 81 3) 9æ? + 9y? + z² = 81

A: Given equations 1)x^2+9y^2+9z^2=81 2)9x^2+y^2+9z^2=81 3)9x^2+9y^2+z^2=81

Q: 1. Find XY when X(-7, 10) and Y(3, 4).

A: GivenX≡-7, 10Y≡3, 4To find XY

Q: 3 13. Evaluate x2 Vx + 2 da -1

A:

Q: How do I explan that x2+4xy-Sin(y2) is not a quadratic form?

A: To justify that the given expression in x and y is not a quadratic form in x and y

Q: 11 ,5 -2d*¨f -2 2 4df

A:

Q: the 1) By uing of far 3 deliv ahve 3x at X-2 . %3D

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Q: Salx) = 212-4.87x+ 3,2x² -0,53x3 S(K) =FSzcx) = -30,2 +27 53 x- , 6x+ 0,69X, S(x) = 2イ- 40,争K+…

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Q: 5.Find h(-), if 4x* – 3x2 + 2x – 2.

A: Given: hx=4x4-3x2+2x-2

Q: 2P 2+ y= since) see' (=?)

A: y=sin(z)sec-1(1+zz2)

Q: Assume that y = 69 when x = -3, y=-72 when x = 15 and y = 99 when x = 27. If we…

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Q: Eliminate the arbitrary constants of: x^2=Axy+By

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Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2…

A: We need to find upper bound on the error.

Q: Prove that y = e-3* (Acos 5x - Bsin 5x) + Cx; A, B and C are arbitrary constants will equalto y"(17x…

A: Given,            y =e-3xAcos 5x -Bsin 5x + Cx

Q: 7. Find mzV. V -27+10x=D29tda K-2x W (2x + 29)° ー +8メ= 091/10x-27) et 8x=56 8.50 メ=7

A: The given figure is of the parallelogram. And given that m∠W=(2x+29)°, m∠Y=(10x-27)° Note that, the…

Q: hraj h(x) = 3x-2 x347

A:

Q: Compute x-x where x=i-2.

A: For the given value of x x =i-2  x3-x is evaluated as shown below

Q: Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by…

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Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

A: