find the area of the curve and graph y=lnx y=ln(2x-4) y=0

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Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

A: The answers are in step 2.

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Q: 2. Use first principles to determine the slope of the tangent to f(x) when x = 13 where f(x) = √2x -…

A: f(x)=2x-1from first principal f'(x)=limh→0f(x+h)-f(x)h

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A: Given :(a) vx=22.4x-1018(b) Sx=22.4 e-1018x      (c) fx=sin3x

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A: To find  tan pi/4

Q: 36. Demography The populations P (in thousands) of Raleigh, North Carolina from 2000 through 2008…

A: Given that population of Raleigh, North Carolina is modeled by P=289.81ekt, where t is the year with…

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A: Given function f( x ) = x8ex - 7

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A: f(x)=-5x3+45x2-120x

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A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 36. 8 What is the constant term in the expansion of (x - ³? a. 600 b. 500 c. 700 d. 750

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Q: Let 7 sin x + 3 cos y = 6. dy dx 0 -0 ď²y dx²

A: The details solution of the given question is given below in step 2.

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Q: Find S4 S8 = S4 Consider the series and s8 363 140 123 44 n=1 n+ 3 Let Sn be the n-th partial sum;…

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Q: Given z = ln(√(x2+y2)), find (∂2z)/(∂y2) and (∂2z)/(∂x∂y)

A: Given,             z=lnx2+y2To find : Find ∂2z∂y2 and ∂2z∂x∂y

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Q: 17) Use the Second Derivative Test to find the relative maximums and minimums for the function…

A: To apply the Second Derivative Test, we need to find the first and second derivatives of the…

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Q: 5. Determine whether the given differential is Exact, if it is exact, solve it directly, and…

A: standard form of exact is Mdx+Ndy=0condition for exact is ∂M∂y=∂N∂xsolution is ∫Mdx+∫(terms of N…

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Q: 48. In the expansion of (2x - 2)¹0, find the coefficient of the 8th term. 10 a. -980 b. -990 c. -960…

A: Note : according to our guidelines i can solve only first question please reroute the remaining one.…

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A: Note: Since the student has mentioned to solve question number 3, so we are solving  according to…

Q: 4. Determine algebraically the equations for two lines that are tangent to y = 3x² - 24x + 50 that…

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Q: The function f is defined as follows. -3x+5 ifx<1 if x21 (a) Find the domain of the function. f(x) =…

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Q: Let A and B be 3 x 3 matrices, with det (A) = -3 and det (B) = 4. Compute the following. a. det(AB)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

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A: Given query is to find marginal revenue.

Q: In Problems 17-24, find each limit. Use-∞ and co when appropriate. X 17. f(x) = x=5 (A) lim f(x) (B)…

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Q: As X approaches 2, the value OF 3x+6" approaches

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Q: 5) f(x)=√√2e +5 6) f(x)=3e(x²+2x-3)

A: To find the derivatives

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Q: In Exercises 11-16, use a graphing utility to find the indica limit graphically. In x 11. lim xxx²…

A: Since we are given with the multiple number of question and our guideline solve first question only…

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. y = 7√√625 - x²,…

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Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

A: The given series ∑n=30∞n2+33n

Q: Let R denote the region in the first quadrant bounded by the curve y = 4e²x and the x and y axes.…

A: Please see the below picture for detailed solution.

Q: A. e x (In x)² dx

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A: The function is given as , fx=1.2lnx+15.7 where fx is the percentage of the U.S. gross domestic…

Q: 7) Find the amount an investment will grow to if $20,000 is invested in an account that earns an…

A: given invested amount is $20000rate is 3%time=6 years formula for compound continuously A=A0ert

Q: 13) 35e0.2x = 70 15) 2e(x+3) = 10

A: Solve by logarithimic formula

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Q: 3. For each problem, find all values of a such that the limit exists. 3-10 (n) lim 210 lim (x-5)…

A: We can evaluate the limit by plugging in the value of a into the expression first to see if it…

Q: Solve the following constrained optimization problem using the method of Lagrange multipliers. Min…

A: