Compute the derivative of the given function. f (x) = 2 ln x – vT

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Q: 15x2 — х3 — 43х - 19 The integral J (x + 1)²(x² – 6x + 13) can be rewritten as Ах + B C D + + bx + c…

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Q: Find the derivative of the following function 8. y=(x+3)(2x² – 3x + 1)

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

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Q: dy Find dx T/4 | cos ()dt y% = CoS X, dy %3D dx

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Q: y Find dy/dx of eY sin y :

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: According to bartleby guidelines I can only answer the first three sub-questions. Please repost the…

Q: Integral 1.

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Q: 7.A Water font has a shape sp an inverfed arcular cone with ? base radius 4m nd herght m.lf water is…

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Q: 1. Prove the following limit. a) f(x)=x²+2x+6 where lim, 3 f (x)=21 x→3 b) limx? -x+1=-5 c) lim x→2…

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Q: What change of variables is suggested by an integral containing * V25 + x²? O a tanø O none of the…

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Q: x² - dx ? Using trigonometric substitution, what is x3

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Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: QUESTION 17 2x³. Consider E* s2x²-x²+x+2 x4 + x³ D dx find A+B+ C+D- dx = x2 X +1 0 5 2. O O O O

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Q: x² + x – 2 (3x – 1)(x² + 1)

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Q: 4 Using Trigonometric Substitution x2 +4x - 5 dx = | f(e)de find the new limits of integration. X+2…

A: By using Trignometric Substitution fin the limits∫14x2+4x-5x+2dx=∫abf(θ)dθ

Q: (1 + 2x)e*dx, Using integration by parts and letting Given: u= -1 - 2x, dv = f (x) dx, then the…

A: The given integral,     ∫0∞1+2xex dx

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A: Given problem :- dx + (1-x2 )cot(y) dy = 0 Find the general solution of given differential equation

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Q: 3x² +7x+28 f(x) x2 + x+7 A Using partial fraction, evaluate x3 + x2 +7x aX the decomposed fraction…

A: The objective of the question is evaluate the indefinite integral in partial fraction.

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Q: 7 -4 Consider the surface x'z* + sin(y zª) + 9 = 0. Use implicit differentiation to find the…

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Q: cot ve csc² Ve do 3 Vo (4 + cot? Ve)

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Q: (cos x2) dx. Use integration by parts. 1.

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Q: Use logarithmic differentiation to find the first derivative. Enter your answer without fractional…

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Q: dy Do not simplify your answers. dx 3. Solve for sec(3r? + In 2) evz+2 +9 (5x-1 – 3")* e3z Vcot() C.…

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Q: Vx In 2x dx=u v- v-fvdu Using Integration By Parts, Find Uv- du O 3 xVx In 23 2 12x- dx | O 2 Xx In…

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Q: -4 Vx²+4x-5 Consider 1 dx, using trigonometric substitution find x. x+2

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Q: The result of x3/x² – 1 dx is F(b) – F(a) where F(a) and F(b) are both real numbers. What is the…

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Q: Using Integration by parts, considerS xsec-(3x)dx = uv – f v du, then find uv – S v du

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Q: Find an antiderivative of the function. (a) h(q) = sin(q) H(g) = (b) f(x) = 3eX F(x) =

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Q: discuss and sketch the graph of the given function f (x) = e" + x %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: I. Evaluate | 4x² + 4x + 5 dx

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Q: 4-x III. Evaluate dx. V16-x2

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Q: Moha Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y x and %3D y = x2.

A: The objective of the question is evaluate the given integral.

Q: 5. sin (2x) dx

A: To evaluate: ∫sin22xdx ⇒I=∫sin22xdx We know that 1-cos2x = 2sin2x

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Q: The curves described by the following polar equations intersect at which value of the angle theta?…

A: We will put these polar equations equal and solve for the angle.

Q: Given: dx Using trigonometric substitution, solve for the integral form in terms of 0. 0 d® B sin² 0…

A: Given: ∫x2-9x3dx Let I=∫x2-9x3dx   To solve this integral we need to do the trigonometric…

Q: Consider -(x Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

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Q: Find the area enclosed by the lemniscate with equation r = 289 cos(20). Choose your limits of…

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Q: The result of dx IS F(b) – F(a), where Fla) and F(b) are real numbers. What is the value of F(b)?…

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