;+ 2リ+y = ハ- cos(t) Slove the D- E t2 with. Ze Vo initial cuudition s En gineer ing Analysis

Q: Let a > 16 be a constant. Evaluate 42 + 40z + 68 + 2a dz (4x + a)(z² + 8x + 17)

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

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Q: - ***** Giveu : mel- 5x+6y Frud: x aud y i 23 = 6x-44

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Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Differentiate. 5x - 9 +x3 3x +1 g(x) = gʻ(x) = D

A: Given  gx=5x-93x+1+x3 To do Differentiate gx=5x-93x+1+x3

Q: Find the eign value and eignve u(x)= ^ Duct) ラ7ラロ x st +/ whele と (めと)=8(はリx

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

A: The given integral is ∫axx2-bxdx.

Q: +3 2y +1 4x-35 5y-8 4 11/5

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Q: A) True B) False If f(x) is continuous, f(-1) = 2, and ƒ (2) = -1, then f(x) has a root in [-1,2].

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Q: 2. -8p(p -3 - 10p) 5. (6a - 3b)(-2a) 3. m'(m + 2n - 6) 6. -3x(2x - 3)

A: We multiply each follow 2nd step.

Q: fx) = c is a constant c is a constant c2 + x"

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Q: For RA 3 and gx)x. find each of the following d. •ax-1)-(mplity your anawer) -ko)-Simplity your…

A: For function h(x)=ax2+bx+c    where a,b,c are constants. To evaluate h(k), replace x=k in function…

Q: coth (7x - 3) + C B) tanh (7x - 3) +c I sech? (7x - 3) + C tanh (7x - 3) + C

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Q: If ƒ (x, y) = x³y5 + 2xy, then what is the second coordinate of Vf? (Remember to use * for…

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Q: a dz g4 – 10a2+29 Evaluate 글tan-1 (5) + C 4 음tan-1 (2늘은)+ b. + C tan- ( -) C. + C 4 공 (2부) +c 글tan…

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Q: 23. Select the expression that simplifies to æy10z -1.3 O -lyz

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

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Q: If f(x, y) = 7x + 3exy, find the following (a) ax? (b) ду дх (c) Әх ду (d) ay? II II

A: we need find first and second partial derivative

Q: In AFGH, mZF = (3x – 15)°, m/G = (8x +8)°, and mZH = (2x + 18)°. %3D %3D What is the value of x?

A: In ∆FGH, m∠F=(3x-15)°, m∠G=(8x+8)° and m∠H=(2x+18)°

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx