Find the linear use it to estimate ln(1.44). L(x) = In(1.44) approximation of f(x) = In x at x = 1 and

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Q: 27) 5 1 dx √x²- A) in (x+2+25+C In 5+X In +C 10 5-x nt B) +C X+5 D) (x+12-25374c In +C

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Q: 3. Given f(x) = cot(x) sin(x) and g(x) = cos³(-x)(sec² (x)-1) sin² (x) a. Prove that f(x) = g(x).…

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Q: 5. Find the Taylor expansion of f(x)=x² - 2x + 4 at x = 2.

A: To find the Taylor expansion of fx=x2-2x+4 at x=2.

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Q: 5. 6. (log4(x²) dx x (log4 x)² ORA dx

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Q: 1 Find the first five non-zero terms of the Taylor series for f(x) = - X Written compactly, this…

A: Taylor Series for f(x) centered at x=a is given by f(x) = f(a) + f'(a)1!(x-a) + f''(a)2!(x-a)2 +…

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Q: Evaluate the following integrals: 1. f(cos x + csc² x)dx 2. f(tan x + sec² x) dx 3. (1+sec² x) dx…

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Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…

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Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

A: The given function is: y=15x3+360x2

Q: 8. 9. 10. Given f(x) = cos(3x + π), find ƒ'(π) a) 0 b) -1 c) -3 If f(x) = √ex, the derivative is: a)…

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Q: Given triangle ABC, A = 40, a = 15, and b = 19, find B to the nearest degree. Do not round answers…

A: Given triangle ABC, A = 40, a = 15, and b = 19 To find B to the nearest degree.

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Q: Integrate (three) of th 1) f sin6x cos3x dx 4) [x² (1+¹)4 dx

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Q: (Q3:- prove the Cose =(A.B/AB Q4:- Find the angle between along diagonal and an adjacent face…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: How much did Speedy Movers borrow for a debt that accumulated to $51,034.26 in four years? The…

A: Given, Amount(A)= $ 51034.26 t= 4 years r= 3.25%= 0.0325 n= 2(semi-anually)

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Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnon n=0 Find the…

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Q: 3. Evaluate 5 sin rdx B

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Q: The result of the following dot product (- 2j + 3k) · (−2ī +2j - 2k) is b. -6 c. 0 a. -10 d. 10 e. 6

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Q: 412 Evaluate the integral (x² + y² + z²) dz dy dx. SSS 000 412 SS S (x² + y² + z²) dz dy dx = [ 000…

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Q: Q1/ The volume generated by rotating the region bounded by the given curves y = √x + 1 + 2, y = 2x,…

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Q: Differentiate and simplify this function h (z) = (ez - 1)1/2

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Q: he sum of one number and four times the second is 24. Their product ust be as large as possible.…

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