dw Q11- express by using the chain rule: dt w = ln(x² + y² + z²) x = cost, y = sint, z = 4√t

Q: Find the third Maclaurin polynomial to f(x) = e sinx

A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

Q: i. Given that log x=12, log, y = 15 and log, z = 18. Consider the following four logarithmic…

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Q: Use Laws of Exponents to rewrite and simplify each expression. (b) (2x-2)-³x-3 x3.xn xn+1 (c)

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Q: 300. NR4) For a graduation ceremony, there are 8 people sitting on stage in one row. If the master…

A: We want to find number of arrangement possible.

Q: 1. (ex + lny + 7) dx + ( 85 + In x + siny) dy = 0

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Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

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Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁ A 2²—4² B (√2-1)u² C8u² 3 (D)

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Q: Suppose ƒ be a function such that fo f(x) dx = 3. Then ² t² f(t³)dt: 9 [Select] Select] 103

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Q: (d) Given r(t) = (ln(t+1), t cos 2t, 2¹). (i) Find r'(t). (ii) Find parametric equations for the…

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Q: Question Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 2), and (3,…

A: Given problem:- Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 2),…

Q: Let K/L be ideal of quotient ring R/L. If K is prime ideal and contains L, then K/L is prime ideal.…

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Q: Evaluate the integral. (Use C for the constant of integration.) | VER-X² dx 81 x

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Q: 6) If nP3 = 2 nC4 then nC6 = A. 1716 B. 3003 noituloa s ni fluash blud C. 5005 D. 8008

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Q: {(† - ₹)}₁_^

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Q: What is the amount of work done on a spring when it is compressed from its natural length of 1 meter…

A: Topic = Algebra

Q: L 4s 2 4s² + 1

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Q: 8. Write the integral that gives the area of the surface generated when the curve y = sinx on the…

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Q: dy Find the general solution of the differential equation: dt What is the integrating factor? µ(t):…

A: topic- differential equations

Q: (D³ - D² - 4)y = 0

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Q: 12. y = 3t 1+t³ X= 3t² 1+t³

A: We can find y' using chain rule as below.

Q: the appropriate integral to be used to find the volume of the solid generated? 8 7 6 5 4 3 2 1 -1 O…

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Q: - First Order Linear Differential Equation Direction: Solve the general solution of the following…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: A region is bounded by the y=x2 and y=6x-x², Which of the following integrals would approximate the…

A: Option (a)

Q: H.w: Find LT-¹ of the following functions by using partial fraction method: 2- Find L-1 [s³ +S-1 Ls²…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: (-2xy) dx + (Sing-x)dy 3 7 dy + 3xy dx = x ēdx • (3x-2y + 2) dx + (3y-2x-2) dy zo (y + x² ) dx = xdy

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Q: Find the lower sum for f(x) = +4 on the interval [-4, 0] using 2 rectangles. 10 "F Submit your…

A: Here we have to find the left sum of given function.

Q: What integration technique can be used to integrate: A Integration Formulas B) Integration By Parts…

A: Given: sec2xdx

Q: M Gmail ▸ YouTube Maps Google Homework Help On... Ciudades inteligent... ¿Qué es Ingeniería I...…

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Q: } L 1 (s? +1)(s? + 25)

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Q: The region in the first quadrant bounded by the graph of y=8-x¹2, the x-axis, and the y-axis is…

A: The region in the first quadrant bounded by the graph of y=8-x32, the x‐axis, and the y‐axis is…

Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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Q: fz² dz along the indicated paths: -1+i -1 C 0 (a) 1 1 + i 17 0 (b) 1

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Q: 5. Consider the region bounded by y = x² - 4x+5 and y = 2. The region is revolved about the vertical…

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Q: 1. ²³(x³ + x) dx 3

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Q: Find the vectors T, N, and B at the given point. r(t) ) =(2², ²32²³, t), (4,- 15, -2) N = B =

A: This question can be solved by applying the formula of T,N,B

Q: L 2 + 1 s(s − 1)(s + 1)(s − 4),

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: We need to choose correct option.

Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: Simplify sec(arctan 1) 1

A: Please refer to the image below

Q: 3. Carry out the following mathematical operations and report your final answer in the correct…

A: The objective is to solve the mathematical expressions.

Q: Q4:Evaluate 1) lim (1-²) x-0 \sin x

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Q: y = Arctan 2+x 1-2x

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Q: (b) Find the area of the region that lies inside the first curve and outside the second curve. r = 1…

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Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

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Q: ㅠ y = 2sinx and y = 0 from x = 4 ㅠ to x = .

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Q: Points: A(2,1,-1), B(-3,0,1), and C(1,4,0) a.) find parametric equations of line that passes…

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Q: 3- show that the diff. equ. is homogeneous and Salve it (2x +34) dx +(y-x)dy = a

A: In this question we have to solve the differential equation.

Q: For the function f(x) = 2x², find the difference quotient f(a+h) - f(a) h 4a + 2h h 4a²+ h 4 a + 2 h

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Q: 2 · S² f 0 Given f(x,y) = x²y-3xy³. Evaluate A-6y³ +8y/3 14y-27y3 B 6 6x² - 45x 4 D 2x² - 12x BARCE…

A: Given f(x,y) =x²y-3xy³ Now integration of 0 to 2 (x²y-3xy³)dx  = (X³y/3-3x²y³/2) limit 0 to 2 Put…