Find and explain the error in the following Z 6 0 1 x − 3 dx = (ln |x − 3|)   6 0 = ln |6 − 3| − ln |0 − 3| = ln(3) − ln(3) = 0.

Q: What is the solution of: ln(x) – ln(x + 1) = ln(2) ?  x=-2, x=1, or x=2

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Q: S(x*+1)(x* + 5x)'dx 11.

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Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

Q: In(x² – 5x) = ln(x) + In(x – 5) True False

A: Let us verify the given statement as shown below

Q: -4x f(x) = 4e¯4 ln(x).

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Q: If f(x) = log,(cot(x) + a?) , then f'(x) = %3D (A) 1 (cot(x)+2?) (B) csc (x)+2x (cot(x)+r) 1 (C)…

A: By using differentiation formula and change of basis formula, we calculate the derivative of given…

Q: IF X' + ㅗ X² 970 + then (x-2)(x-4) (x-4) (x-8) = ?

A: If Find the value

Q: g(*) = ln (-3x+11) %3D calculate (X), A) 2(-3r +11)-3 B) -3(-3r + 11)-1 C) -54(-3r + 11)-3 D) -9(-3r…

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Q: If g(x)=(2x+9)^15 (6x+5)^25 Find g'(x)=

A: Given:gx=2x+9156x+525We need to find g'x. i.e., dgdxWe will use the following formulas:ddxxn=nxn-1;…

Q: PROVE THAT  x0.23 = 0.444078 SOLVE [(0.4-0.2)/(0.23-0.2)]=[(0.422845-0.447825)/(x0.23-0.447825)]

A: To prove that, x0.23=0.444078 by solving the following…

Q: x²Sin(x) y = In 2x + 1 9.

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Q: 1.) Simplify the following: (a) (ln 2 + ln 3)/ ln 36 (b) e^−2 ln x (c) ln(e(^−x^2)) 2. Let f(x) =…

A: 1. (a) ln2+ln3ln36=ln2×3ln62=ln62×ln6=12=0.5 b) e-2lnx=elnx-2=x-2=1x2 c) ln(e-x2)=-x2 SInce,…

Q: A) Differentiate y = 4Vx +- + 10 8 B) Find the second derivative of y = 4Vã + + 10 C) Find the…

A: As per our guidelines  we can solve only  3 subparts of a question . The rest can be reposted.  In…

Q: E 40 (X) + (²²) (+) (A(+1) = 20₂² (e (t))

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Q: | (2/x-1)? dx= 4/x-ln x'+x+c. 1. 4/x+ln x*+x+c. 3. (-4)/x-ln xª+x+c (-4)/x-ln x+x+c.

A: Given: I=∫2x-12dx for evaluating given integral, first we expand given expression so, I=∫2x-12dx…

Q: pose f'(x) = √(x+3) and f(1) = 0. Find a formula for f(x) and show all of your work.

A: Given query is to find the function.

Q: Differentiate: f(x) = In In ( f'(x) = x³ x5 6

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Q: f f(x) = 3 - 2x and g(x) = ln (x - 1) then (image attached) = 1. -2 2. None of these 3. 3 4. 1

A: Here, f(x)=3-2x, g(x)=ln (x-1) Now,…

Q: X912 65. f dx is equal to - √1+x" (A) = log(x² + √√x+1)+c 7/2 (C) 2√1+x" +c HT (B) log +C x" 11/2…

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Q: Evaluate (2x2 - 7x) e 5×dx. 1 1 S(2x2 - 7x) e 2 5x dx = 5x e 343 +C 49 (Use C as an arbitrary…

A: The given integral is: ∫(2x2-7x)e5xdx We use integration by parts by integrate it. ∫u v dx=u∫v…

Q: 4 If f(x) = (3x − 4)³ · (8x² + 6)*, find f'(x) using logarithmic differentiation.

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Q: Differentiate the following e2x+3y = x2 - ln (xy3)

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Q: 10 37) If f(x) = -8√√x - find (Answer must be entered without using fractional or negative…

A: f(x)= -8√x -10/x7

Q: If ln x + ln(x − 3) = ln(7x), then z

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Q: 1. Rewrite each of the following expressions in simplest form and without negative exponents. (a) 5x…

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