If E = 2ax + ay - 3az, F = ay - az, and G = 3ax + 5ay + 7az, determine (2E - 3F) /|G| A 0.439ax + 0.11ay + 0.3293 az B 0.439ax + 0.11ay - 0.3293 az © -0.439ax - 0.11ay - 0.3293 az (D 0.439ax - 0.11ay - 0.3293 az

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: 6x-25x+8x+43x--8x-12 (3x4-11x3 +9x²-11x+6) (9x² +12x+16) + C(3x+2)+D 9x²+12x+16] Find f - [Ax+B x²…

A: Given integral is      (1) Its reduction is ∫Ax+Bx2+1+C(3x+2)+D9x2+12x+16dx We can write it as…

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

A: The integration formula for ∫xndx=xn+1n+1+C.

Q: 4. Perform the following operations: a) (4x²+5x+3)+(3x²–2x+8) b) (3r² –7x+2)(5x²+4x-6) c)…

A:

Q: xp | %3D P O O d. dy -43xcsc(5x)[5cot(5x)– 3ln(4)] xp -43Xcsc(5x)[5cot(5x)+ 3In(4)] Oc. dy %3D xp |…

A: We have to find

Q: a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

A:

Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

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Q: verify that A(B + C) = AB + AC

A: Now,

Q: G(y) А + Be 10

A:

Q: Find the quotient and remainder of (x' + 8x² + 19x + 13) ÷ (x + 3). A (x² + 11x + 52) R 13 © (x² +…

A:

Q: Consider (D3 + 3D² + 2D)y = 3x2 + 5x + 9. Using method of coefficients, what is y A y = 6x – x2 + 2…

A:

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

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…

A:

Q: 3. Simplify (x+ 2)(x2+3x- 4).

A: (x+2)(x2+3x-4) = x(x2 + 3x - 4) + 2(x2 + 3x - 4) = x3 + 3x2 - 4x + 2x2 + 6x - 8 = x3 + 5x2  + 2x…

Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

A:

Q: If fCx)=4x+ Ax²+ 6X-3 andf(2) =1 what is the value of A? %3D %3D

A:

Q: Find * 4xe²? dx. e2z² + 2ez² +2 -2tan-1(e*² + 1) + c 2tan-1(e* + 1) + c O Option 2 Option 1…

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Q: Which equation has exactly one solution? CLEAR 6x +5-3x = -3x +5+6x 6x + 5 - 3x = 3x +5-3z 6x +10…

A:

Q: 6. Determine the domain of the following: a. y = -3/14 + 3x b. y = V4 + 3x –- x² x+1 С. у %3 х(х-2)…

A: Domain of given function at which y(x) is defined.

Q: Find f(5x5 + 6x²) dx

A:

Q: a (x + 4y) = ax + 4ay Select one: O True O False

A: Given here a function and asked to find whether it is true or false

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: verify that (A + B) + C = A + (B + C)

A: Now,

Q: If P = 7x +7x +8 and P2 = 2x - 3x-4 then 2P + P2 = %3D O 16x? + 11a + 12

A: P 1=7x2+7x+8 and P2=2x2-3x-4 Then 2P1+P2 =2(7x2+7x+8)+(2x2-3x-4) =14x2+14x+16+2x2-3x-4=16x2+11x+12

Q: c. (x + 3)(x + 8) = x Ex2

A:

Q: (В y (62 - (52²-2³)) dz [² (62 − (52² − 2³)) dz + S* ((52² − z³) − 6x) dz 15+ 10+ 5 10 1 2 3 The…

A: Given data

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A:

Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

A:

Q: If Ax) = Vx -1 and g(x) = x+ 1, which expression is equal to fAg(x))? 1+ー1 Wx²+2x (x + 1) - 1 ベズ+x-1

A: Solution:

Q: Differentiate. 5x-9 .3 g(x) = 2x + 1 gʻ(x) = D

A:

Q: 6 8. 6x - 3y = 15 4x – 3y =-5

A:

Q: If Q(x) = 7x³ + x and R(x) = 6x – 7x², find the following: %3D a) (Q – R)(x) =|| %3D b) (Q * R)(x)…

A: Given: Qx=7x3+x, Rx=6x-7x2 For finding Q-Rx,we substract Rx from Qx

Q: 21 If fx)3then f(x) O 2x-2-1 3x 2x-3r2-3 3x O 2x-3x2-3 6x 2x 3x+2 O 2x-x2-1

A: Find the derivative of the given function.