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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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What is the differential equation of the orthogonal trajectories of the family of curves x2 – 3xy- 2y² = C?

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1. Find the first differentiation of this equation: а. у (Sx2-3)3 b. у- (4x? — 7)? x+5 C. y = Sx+6 d. y = x*(x+ 2)3³ e. TC = 20+100 Q+3 f. z = 4x? + 3y? – 7xy 8. p = q02 - r0.3 %3D h. y = 9+ 4xz – 3x-2z3
Find the derivatives of y= s2-a2 / s2+a2
Find the orthogonal trajectories of the family of curves y = kr. P = c P = c © 3y = ( (1) 3 + 3 = C E)+ 2 = C (A) ;. 7 7,2 C (B) ; 5 .2 5,2 = C (D) 3 y³ + 3 x³ = C (E) y? + 2x2 (F) + = c (G) 2,² + = c (H) + 3.x = C 7 5 ,2 7 5 + 3 x = C
the linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at (0.9,-0.1).
Q.#4 Please find the requested derivative of the following functions. a) s² - 4st+t² = 4, find ds dt d - (5³_4 5 + + + ³) = √3+ (4) d+ dt 25 ds dt Physics. 86th ed. Boca Raton: CP CRC Handbook of Chemistry d —— + (5³) - 13/7 (45D) + 3 + (+³) = 0 4(5 + + √²/²) +2+ = 0 dt (25-47) 1 / +(2+-45) = 0 (25-47 4/5 = (45-2t) ds d+ 25 ds -43-4+ √5 + + 2+ = 0 dt dz ds (45-27) (25-4+) dt Final Answer (75-7) (3-27) dz begin 58 140.12 59 140.91 3+ 53 ds_(25-1) at (s-at) as-t ds d+ (5-2+) 2 e - Final Answer ·른 - 60
Solve it quickly please
Find the derivative of the economic functions. Show full solutions and properly name the derivative. TR (Q) = 18Q − 0.5Q2 C (Y ) = 1500 + 0.75Y AC(Q)=1.5Q+4+46/Q
Differentiate the function. y = (2x* -x+ 1) (-x° + 3) - x+ y' =O
The orthogonal trajectories of the family of curves y = cx² is (A) 2x +y2=k (B) x²+2y² = k © x=ky² D x² = ky²

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