Use logarithmic differentiation to find the derivative of y y = X X+7 OA. OB. O C. (3)√ 2 7 O D. X X+7 X 2√x+7 (1) 2 X 1 OGA) X X+7 1 X+7 (In x-In (x + 7))

Q: Q3 (A): By using "L' Hopital rales "; Find the limits of: (1) tim-al-ca (2) lim, x(tan"¹x-x)

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A: Use limit expansion

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A: The objective of the question is determine the addition and dot product of given vectors.

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A: Using the chain rule and rule of partial derivative and get the required derivative.Final solution…

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A: Concept: L'Hospital's Rule: A general technique for assessing indeterminate forms like 0/0 or ∞/∞ is…

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (2) limx-o x-³ (tan-¹x - x)

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Q: 818 B. Find the horizontal, vertical, and oblique asymptotes of the curve y =

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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Q: Rewrite the following equation with the variables separated. 3√t + y² dy = 6 dt o y² dy = (6 + 3√t)…

A: Please see the below picture for detailed solution.

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Q: (18) Find the derivative of the functio 2²+5 3 Y=2²-5 Nor me it to Vitou inst

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Q: Find the derivative of the function. (x-7)(x²+2x) +3 y = O A. OB. dy dx O D. dy dx dy O C. dx dy dx…

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A: See this solution in below

Q: S 2 (2 x ² + 1 ) 1²/1 2 dx

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Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

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A: it is very basic question of trigonometry.

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A: find the general solution of differential equation y"-10y'+61y=0

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Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

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Q: Find the general solution of the following differential equation. y" - 4y + 7y=0 NOTE: Use c₁ and c₂…

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Q: 3 2.)f x³ (4 + x²)² dx ; Use rationalizing substitution

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Q: (c) State the Fundamental Theorem of Calculus Part II.

A: In this question we have to state the Fundamental Theorem of Calculus Part II.

Q: Given that ſ♫ sin xdx = 2, find the average value of the sine function on the interval [0, π]. Also,…

A: Please see the below picture for detailed solution .

Q: 10.¹ (3x² - y²) dx + (xy − x³y¯¹) dy = 0 2 du

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Q: Q / if w = tan x and x=4²++ Find dw dt

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Q: Q2: Solve the following dx 7x³+14x+15 (x+3)(x+7) 1735 (1) J inte (2

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

Q: 15. Show that the equation, 2³ + e* = 0 has exactly one real root.

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Q: prove that :: 2) (1+i) (1-1)² = 64

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Q: 2. y = Arctan

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