If y = (4x + 7), find y' (1). O 11 ln(11) + 4 O 11 ln(11) O - O 11 ln(11) - 4 In(11) – - In(11) + 4 11 4 4 11

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Q: Determine all values of In(-2 ln(i)).

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Q: -4x f(x) = 4e¯4 ln(x).

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Q: 9. Condense the expression 1. 3 ln x+-In In(x²-1)-In(x² +1). 2

A: We make the coefficients into exponents inside log

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: Can you help me see how this problem is equal to ln3! Ty!

A: Given limit, limx→∞1x+41x ln3

Q: Find the length of MO in square LMNO if MO=2x+4 and LN=8x-8,

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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: 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,…

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Q: dr 3. Verify that = ln(2). x(x+1) 1

A: Given: ∫1∞dxxx+1=ln2

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Q: f F(x)=ex , find f(ln(2))

A: fx=exfind f(ln(2)) Formula used elnea=a

Q: Sn( Lin el0x=ydydx = In(5) fIn(3)

A: Given integral is ∫0ln5∫0ln3e10x−ydydx. We have to evaluate the double integral…

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A: Given : ∫4xdx=4lnx+C

Q: 4x + 4 -dx. Choose all of the following that are correct. x² + 1 Consider the definite integral

A: To evaluate: ∫014x+4x2+1 dx Solution: We know that, ∫f'xfxdx=lnfx+C ∫1x2+a2dx=1atan-1xa+C

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

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Q: ∫(e)^(-5n) dn from 1 to ∞. Need help finding the value

A: