lim (t i − 4 j + t² k) 1-9 ■im (t i − 4 j + t² k) = i →9 i+ i

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A: To use the linear approximation to estimate cos(60.5°)

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A: We can solve as follows

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Q: using least cost method

A: The total cost using least cost method is Rs 284

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A: We want to find the volume of revolution on  about the y-axis

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A: Given: I=∫-11∫-44x2-y2dydx   As we know that; The Power rule; ∫xndx=xn+1n+1+C

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Q: Find the indefinite integral. Solution in handwritten a. S dx sin x cos²x

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Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

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A: Note :-  Here Equation of g(x) = 2x2-9x2+27 =-7x2+27 Or g(x) =2x3 -9x2+27  So we solve this problem…

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Q: Solve for dy/dx and simplify the result y = (5x + 2)6 (3x² +7)7

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: Je-2x sin 2x dx

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A: Given,            ∫2x3+5x2+3dx

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A: answer is in next step

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A: Solved below

Q: the

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Q: Find a, and d for each arithmetic series. See Example 8. wwwww 62. S31 61, S20 1090, 920 = 102 64.…

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Q: (1 + x³) dy - x² y dx || 0

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Q: Consider à = (2,1,k), and b = (k,-8,k). Find the value of k such that å and bare perpendicular.

A: We can find the values of k as below.

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Q: 25 2 la

A: We have to find the following conditions according to the given information

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Q: Σ n=2 7 n(In(n))*

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Q: Question 3 Differentiate: y = arccot (x)+ arctan 01 O (E) None of these Ⓒ2x O 1-2x O < Previous 1-2z

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Q: dy Find given that dt x² + y² = 2x + 4y, x = 3 y = 1, and dy = | dt dx dt = 6

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Q: Evaluate fi fi fi (xy+z)dxdydz Note: input your answer in two decimal places (example: 1.05, 2.53,…

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Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,…

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: Q/ By uesing chain rule Find du de For this functions E² +1 x² + y² X x = tanzt, y = e 2x a = / 11 ?

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Q: Let f(t)= for 0<t<1 for t≥1 a. Find L{f(t)} by using the definition of Laplace transformation. b.…

A: Let's find.

Q: Question 9 Find the simplified form of the derivative of y = Š Oy= 3 csc 3 CSC (3x) 3 csc 3z = cot…

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A: Given: r=6cos3θ

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Q: Determine whether the improper integral diverges or converges. [² e- cos(2x) dx converges diverges…

A: Solving

Q: Evaluate the iterated integral. 18 5 (x + y²) dx dy

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Q: Find the indefinite integral. Solution in handwritten. 1. fx sin x² dx

A: Indefinite integral

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A: Given query is to find integral converges or diverges.

Q: Find the Laplace Transformation of y" +3y + 2y - 4ex when y (0) = 0, y′ (0) = 3 OY (s) 2s+1…

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Q: f(x) = 1x4 + 1⁄2x³ 3x² +5 f(x) 20 15 10 W -8 -6 -4 2 4 6 -5 -10 -15 -20 Determine intervals on which…

A: Given query is to find inflection points.