Find a root of f (x) = In(x – 1) + cos(x – 1) using the Newton- Raphson method with an error less than 5%. Use 1.1 as an initial value. Round-off answer to five decimal places. O 1.39775 O none of the choices 1.39418 O 1.38098 1.39714

Q: Let r(x) = f(g(h(x))), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r'...

A: Given r(x)=f(g(h(x)))h(1)=5h'(1)=5g'(5)=5f'(4)=8

Q: Write the following sum as a single logarithm. Assume all variables are positive. log,(c) + log,(c +...

A: To find: log3(c)+log3(c+4)   Formula: loga(xy)=loga(x)+loga(y)  

Q: b 16 17 18

A: Graph the function :    

Q: 4. Homogeneous Differential Equation: (r+2ry-4y' dx-(r -8xy -4y' dy = 0 x=2; Use the substitution y ...

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Q: Consider the polar equation r- 4 cos(0) – 13 sin(0). (a) Convert the given polar equation to a Carte...

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Q: 5. Law of Cosines to find the remaining side(s) and angle(s) if possible. A) BB = 72°40, c = 16m, a ...

A: According to company rule we can answer only first question and rest can be reposted.

Q: 3. Separation of Variable s: x(y+1)dx+ dy = 0

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Q: Use the table below to find dx [2f(x) – 4x] |x33 f'(x) g'(x) 1 2 1 [2f(x)- 4x] (Type an integer or a...

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Q: Solve the differential equation. 2y dx = 3xy? dx + x dy When x = 2, y = -2 %3D

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P & Q is the function of x.   G...

Q: -2x y = Ce 2 + Cze*

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Q: An open box is to be made out of a 9-inch by 19-inch piece of cardboard by cutting out squares of eq...

A: Given: The dimensions of the piece of the cardboard is 9-inch by 19-inch. An open box is made out of...

Q: what is 2x3

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Q: 1. Show that the equation represents a sphere, and find its center and radius. 7 + g +7+% – 8G + He ...

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Q: Find the interval of convergence of E n(x – 8)" n=2

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Q: Question óf 20 This te This que A line perpendicular to another line or to a tangent line is called ...

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Q: . Use properties of logarithms to expand the logarithmic expressions (No decimal answers). log, (-)°...

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Q: 8. im e* 2x 9. lim e* 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim

A: As per guidelines we can solve only one question at a time so if you need more answer kindly repost ...

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 4x + 18x + 2x 3) dx is...

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Q: o y The order of the differential equation 5x- ôʻy + 3x + w²y = 0 is ôx

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Q: Obtain the differential equation of the family of plane curves described and sketch several represen...

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Q: Let g(x) = log,(x). Find g'(4). g-'(4)

A: g(x) =log5x g-1x=5x    

Q: Differentiate the following implicit equation for y(x) with respect to x: x* + a?y? – y4 = 4 2.2 %3D...

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Q: 3. One of the methods used to eliminate arbitrary constant is by isolation of arbitrary constant and...

A: Here, to write the other method to find the arbitrary constant of the differential equation.

Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: Néxt question Evaluate the following limit or state that it does not exist. (Hint: Identify the limi...

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Q: The gross domestic product (GDP) of a country is $78 billion and growing at the rate of 4.41-1/3 bil...

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Q: If C+ L3 = e9C, compute dC/dL when C = 0. C'(0) =

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Q: Use the trapezoidal rule withn= 4 to approximate cos(x) dx Keep at least 2 decimal places accuracy i...

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Q: Integrate the following: 1. Integration by parts: 2 5 ex d x 3

A: Use formula of integration by parts.

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

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Q: The function below has the form f(x) = a · b² + k. %3D 14 Which of the following functions is shown ...

A: Functions

Q: 5x 14 dx To evaluate the integral which of the following formulas can be used? V4+8x5 udu (bu (bu – ...

A: Let u=x5 then du=5x4 dx and a=4 and b=8 And third option is used for solving given integral. 

Q: Solve the differential equation (x – 3y + 2) dx + (3x + 9y – 12) dy = 0

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Q: dx Evaluate S 4+x² Evaluate f dx -x2+4x-3

A: NOTE: Refresh your page if you can't see any equations. .

Q: Homework: Graph the following functions and show domains and ranges of them. 1+cos2r 1. 3. y = cot3x...

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Q: 27. y y- 1. (2. 1) (hyperbola)

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Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2 3...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: 4. Homogeneous Diffe rential Equation: (r* + 2.xy – 4y° kx-(x²-8ry-4y dy 0 Use the substitution y = ...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k 1 Σ 6ln k k=...

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Q: Evaluate the following limit or state that it does not exist. (Hint: Identify the limit as the deriv...

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Q: A. Evaluate the following integrals of inverse trig functions. dx 1. Evaluate f- x Vx2-n dx 2. Evalu...

A: 1.∫dxxx2-πSubstitute u=x2-π and dudx=xx2-πand dx=x2-πxdu=∫1u2+πduSubstitute v=uπ and dvdu=1πand du=π...

Q: Elimination of Arbitrary Constant: y= Ax + Bx+C, A and B are constant, C is a parameter

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Q: lim ex+7 x-

A: As per the instruction, we will be answering only the first one. For (15),     limx→ -∞ e4x+7=e4(-∞)...

Q: Write the following sum as a single logarithm. Assume all variables are positive. log,(5) + log,(@) ...

A: Here, the given equation is: log4(5)+log4(a) Note that: logpx+logpy=logp(xy)...(1)

Q: 3. What is the derivative of y = (f(g(f(g(x))))? Furthermore, if you are asked to evaluate the deriv...

A: The given function,     y=fgfgxg0=0, f0=1 and g1=f1=1

Q: Define S(x) to be the slope of the line through the points (0,0) and (x, f(x)) in the figure below. ...

A: We have to the value of x where s(x) minimum aur maximum

Q: Separation of Variable s: x(y+1)dx + dy = 0

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Q: Use a Table of Integrals to evaluate the integral. 2xdx Va4 +1 log la" + Vz +1|) Check your variable...

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Q: far 4 (4f² + 3)² dt cos t dt 1 + sin t sec x tan x dx sec x – 1

A: Given:  4 ∫4t2+32 dt5 ∫cos t1+sin t dt6 ∫sec x tan xsec x-1 dx To Find: To evaluate the each of the ...

Q: 4) Determine whether the improper integral diverges a) fx'e *dx or converges: 1 b) J (7x +1)³ 1

A: