8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given value of a; then using obtained result evaluate this function, f(x)=sin x, for a given values of x. a. a=n/6, x=33- b. a=m/4, x=48- c. a=m/3, x=65- d. a=n/2, x-100-

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A: See the details solution in below

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A: To find out the domain

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A: Here we have to use the concept of partial derivatives

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A: We have to give an example of derivative

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A:

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Q: 7. The critical points of the function f(x) = 1³-272 are (a) ±3 (b) ±1 (c) +√2 (d) 1

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

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A:

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A: According to question,Given series,1262 + 2272 + 3282 + ........

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A:

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A:

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A:

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A: Given: For (a),     ∂ ∂ x2x-y2e-2xy+2y=∂ ∂ x2x-∂ ∂ xy2e-2xy+∂ ∂ x2y=1x--2y3e-2yx+0=2e-2xyy3+1x    ∂…

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A:

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A: As per the instruction, we will be answering the first question. Given: We need to find the volume…

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A: We have to discuss about valid triple integral.

Q: 9. The anti-derivative of the function f(x) = e² + cost is (a) e²+ sinx+c (b) e² - tanz+c 10. 0.5(x…

A:

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A:

Q: a b) exist. x² yesy 8x4+7y² Find the domain of the function f. f(x, y) = Show that lim f(x, y) does…

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A: Given f(x,y) =6x -y2 e-3xy+3y

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Q: 6. If z = x + iy = (x, y), then the equation z²+z+ 1 = 0 is written as (x,y)(x, y) + (x, y) + (1,0)…

A:

Q: 4. Graph the equation: f(x) = -3, 4, 1/² x + 1²/₁ x<-2 -2 ≤ x ≤ 1 1 < x≤ 4 -3 - 5+ 4+ 1 + 3+ 2+ 1…

A: f(x) = -3 , x &lt; - 2 x -3 -5 -7 f(x) -3 -3 -3 f(x) = 4 , -2 ≤ x ≤ 1 x -2 0 1 f(x) 4 4…

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A:

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Q: Use the First Fundamental Theorem of Calculus to find F"(x) if = [*_ sinh√/1 +ť² dt. F(x) =

A: