Inx 2. lim x-1x-1 1 0.9 0.99 0.999 1.001 1.01 1.1 f(x)

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: 5. f(x) = In(x + 5) – 2 Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= x→-5* lim f(x)...

A: Given : f(x) = ln(x+5) -2 To find : Domain, Range, Equation of Asymptote, and End behavior. 

Q: Find the value of (f o g)' at the given value. f(u) = u° + 9, u= g(x) = Vx, x=1 (fo g)'(1) = (Type a...

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Q: 11. Verify that the conclusion of Clairaut's Theorem holds for the function: f(x, y) = e*Y sin(y)

A: The given function is: fx,y=exy siny To verify that the conclusion of Clairaut's theorem hold for th...

Q: me limit below represents a derivative f'(a) Find f(r) and a lim h-0 (5 + h)² – 25 h. 10

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Q: 10n Consider the series Evaluate the the following limit. If it is infinite, type (n + 1)62n+1 n=1 "...

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Q: Evaluate the integral. Show all your work. | sin? xcos' xdx

A: The given integral problem is solved below in detail.

Q: Evaluate the limit (inx)" 10 lim x+5+(In 31x+10+(Inx) ×つ

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Q: 4. A projectile is launched from ground level at an angle of 45 degrees. It hits a target that is 20...

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Q: The cost in dollars of producing x units of a particular telephone is C(x) = x² - 2500. a. Find the ...

A: Follow the procedure given below.

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

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Q: Please choose the answers from a to i.

A: To choose the answer from the given options.

Q: Extension Question 2: What would happen if there was a cubic function inside the logarithm? Explair ...

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Q: n(-7)" Use the ratio test to determine whether converges or diverges. n! n=7 (a) Find the ratio of s...

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Q: Solve the given initial-value problem. 7y2 y5 t2 t 0, У(1) 3D 1 2y4 dy dt

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Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

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Q: 3, use the separatibn of Variables and solve the following equatibn %3D

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Q: Critique the validity of the expression d2y dy dx2 dx A) It is not valid, because the notation d?y d...

A: The objective is to critique the validity of the expression. 

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two decima...

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Q: Integration. Evaluate the following

A: Given that: 1. ∫x2x3+7x-5x+10dx2. ∫y2+6y-3dy

Q: Find the equation of the tangent and normal line to the following curves at an indicated points:

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find the distance from the point (3, 3, 5) to the plane 3x - 3y + 3z = 5. Leave your answer correct ...

A: topic- distance of a point from a plane 

Q: St³ In t dt

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Q: Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, t...

A: Topic  =Limits

Q: Find the differential of each function. (a) y = etan(nt) dy = (b) y = V4 + In(z) dy =

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Q: az and əs az e the Chain Rule to find for z = x²y3, x = s cos t, y = s sin t. at

A: We have to find derivative by chain rule

Q: Find equations of all lines having slope - 1 that are tangent to the curve y = x-8 Select the correc...

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Q: Derivation of a formula of volume cylinder (using Calculus, in two different ways).

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Q: Evaluate the integral. Show all your work. tan’ x sec xdx

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Q: Use the Arc Length Theorem to calculate the length s of the path over the interval. (sin(0) – 0 cos(...

A: Given : (sinθ - θcosθ, cosθ + θsinθ);            0 ≤ θ ≤9

Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

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Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

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Q: Use a linear approximation (or differentials) to estimate the given number. (1.999)5

A: Given problem:- Use a linear approximation (or differentials) to estimate the given number. (1.999)5

Q: Evaluate the following:

A: Given that: ∫(6x2-4x+1)dx

Q: x*-4y2 Find lim (x,y)¬(0,0) x2+2y2 if it exists, or show that the limit does not exist.

A: The given limit limx,y→0,0x2-4y2x2+2y2

Q: Find the linear approximation L(x) of the function f(x) = /1 - x at a = 0. L(x) = Use L(x) to approx...

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Q: Find the initial velocity such that the particle will have the same position at t-4s a. and t- Os. b...

A: Follow the procedure given. 

Q: Evalvate the limit lim Cosx In(x- In

A: Given that: limx→π+cosx.ln(x-π)ln(ex-eπ)

Q: 11+11-12=

A: Given that: 11+11-12

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

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Q: Find the differential of each function. (a) y = x2 sin(4x)

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Q: (у?- бу+1) dу y-3

A: ∫un du=un+1n+1+C

Q: Find the particular solution of the differential equation that satisfies the initial condition. (Ent...

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Q: Evaluate the Integral iF the funthun X = = XSin (xy) ニ over the vecfongulor region R- [0,1][1, 2]

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Q: Suppose that in 1662, a man bought a diamond for $34. Suppose that the man had instead put the $34 i...

A: The continuous compounding formula is P(t)=P(0)ertwhere P(0)= the initial amountr = the rate of inte...

Q: Use the images to determine the multiplicity (or power) for each root:

A: Given graph .               To find:- from graph find zeros with its multiplicity , Degree of f(x) ...

Q: f(x) – f(a) Simplify the difference quotient for the given function. X-a f(x) = 4 – 2x – x?

A: Given query is to perform indicated operation on the function.

Q: The three series An, EBn, and ECn have terms 1 1 An 1 Cn = Bn n10 n Use the Limit Comparison Test to...

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Q: Represent the function 8ln(8−x) as a power series (Maclaurin series) What is the radius of converge...

A: Given:- The function is, f(x)=8ln(8-x) as a power series. To find: - The radius of convergence of th...