Evaluate lim X→∞ ९+2 1 - x³ ( if necessary, using L'Hôpital's rule)

Q: B) Estimate the next root of the function f(x)=x^3-x-1 using Muller method, let x0=1, x1=2, x2=1.5

A: Muller method: The Muller approach is applicable to any root-finding programme, but it is especially…

Q: d [rı(t)- r₂(t)] = [ dt d [ri(t) x r₂(t)] = dt

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Q: d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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Q: So whats the answer

A: The question asked for the function f or ft. The last line was the answer.

Q: 1 - √xdx

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Q: d d Calculate #ri(t) - r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product…

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Q: Q2: find dw/dt at given value point for the following function 1 V 2) w== + 2²,.x = cos²(t), y =…

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Q: 1. What rule is applied in the following given? * Dx (-13) = 0 Power Rule of Differentiation Product…

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Q: Use AXYZ, as needed, to complete the given parts. Part 1: Z 15 cm Part 2: Part 3: Part 4: Y 7 cm X h…

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Q: A certain industry's ad spending between 2005  (t = 1)  and 2011  (t = 7)  is projected to be S(t) =…

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Q: أ 12, x > 1 (b) ) 5 f(x) dx

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Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

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Q: Using trigonometric substitution, Find the new limits of integration. (A) None of the choices B 2 6…

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Q: ​D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay for x units of an​…

A: Solution is here

Q: Find T(t) and N(t) at the given point. r(t) = (t²- 2)i + tj; t = 2 T(2) N(2) = =

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Q: b) f4 sec 0 tan 0 do

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Q: dy e2y-1

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Q: Fill in the blank. y = 6(4) can be written in terms of base e as y = 6(4) can be written in terms of…

A: First I have written the equivalent logrithmic expression for any function and get the desired…

Q: The shaded region between the graphs of y = 2x² + 20 and y = 3x - 15 is displayed below in orange.…

A: Area bounded by the curves : If f(x) and g(x) be two continuous function and f(x)≥ g(x) on a,b ,…

Q: Find the derivatives of the following function (a) y=4²-3+2√ 2x+3 (b) y=2

A: We can answer the questions as below to find derivatives

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A: Given: The open rectangular box of maximum volume that can be made from a sheet of carboard 21 in by…

Q: nd f such that f'(x) = 2x² + 9x-9 and f(0) = 8. x) =

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Q: Find f''(x). 1(x) = (x² + 1)² f''(x) =

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Q: Find a Cartesian equation for the curve and identify it. ² cos(20) = 1

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Q: lim ²+2x+4 2-1 31²-2+8 LIMIT VALUE: lim 2-0 LIMIT VALUE: lim x-1 LIMIT VALUE: +6-√6 z ²+81-5 3x+7

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Q: 21 23 (24) EMPR Solve the differential equation by using method of un determined. coefferent;…

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Q: When can you not use partial fraction decomposition?

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Q: Consider the equation (a-y-2)dx + (x + y - 4)dy = 0. (a) Make a transform to reduce the equation to…

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Q: The plot below represents the function f(x): 8 K + ů 6 3 6. £5 312 1 -1 Evaluate f(1): f(1) = Solve…

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Q: Use the properties of natural logarithms to simplify the expression. In(e) П

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Q: Plot y = B sin(Aπx) cos(x) with a solid line over the interval 0 < x < 3 with the vertical axis set…

A: close allclear allformatclc A = 21;B = 5;C = 3;y1 = @(x) B * sin(A*pi*x) .* cos(x);y2 = @(x) B *…

Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: Find the​ consumers' surplus at a price level of p=​$150 for the​ price-demand equation below.…

A: Recall:  Consumer surplus=∫0x(D(x)-p)dx Given, p=​$150 p=​D(x)=300−0.05x

Q: 2. Evaluate -π/4 Is -π/4 sinx cosx dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given the expression below, set up (DO NOT SOLVE) the partial fraction decomposition. (Use A, B, C,…

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A: Here, ∫R∫yx2+y2dA is evaluated where R: trapezoid bounded by y=x, y=8x, x=1, x=8 which is:

Q: For the integral cotx 4x csc4x dx, if we let u=cot x, what is the re-written form of the integral? A…

A: The given integral,       ∫cot4x csc4x dx

Q: Find T(t) and N(t) at the given point. T() = N K2 r(t) = 9 cos(t)i +9 sin(t)j + tk; t= 2 =

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Q: Find d² y dx² for x³ + y³ = 2 43

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Q: Hi! Is this statement true or false? And why?

A: A detailed solution is given below.

Q: Write the equation of a sine or cosine function to describe the graph. y 0 3- 2- VA 2π 3π 4π 5π

A: The equation of a sine wave is given by:y=Asin(B(x+C))+Dwhere A=amplitudeB=2πperiodC=Horizontal…

Q: Find f''(x). 5 f(x) = (x² + 5) *

A: The given function,  f(x)=x2+55

Q: 5. sin¹(sinh(sin(xy))) = 5x; y'

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 600 yd…

A: A rectangular swimming area in front of Long Lake Beach, using 600 yd of rope and floats.

Q: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

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Q: Let I = ₁ √2 + x² dx. Using the comparison properties of the integral, we conclude that (a) 2√√2 ≤ 1…

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Q: Find equations for (a) the tangent plane and (b) normal line at the point P on the given surface 1)…

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Q: 3 Find f such that f'(x) = - √x f(x) = f(1) = 12.

A: Solve for the f(x)