Set up, but do not evaluate, an integral for the length of the curve. y = 8x³, 2 6² (0 0≤x≤2 dx

Q: Find the differential of the function w = = x² sin(y¹z³) dw dx+ P dy+

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Q: Suppose the demand for a certain item is given by D(p)=-5p²-6p+800, where p represents the price of…

A: Given demand function D( p ) = -5p2 - 6p + 800 where p = price of the item in dollars

Q: sider the line with the equation: 3y + 2x = 0 e the equation of the line parallel to Line 1 which…

A: Given query is to find equation of the line.

Q: (b) g(x) = k, 3z²+16z+16 I+4 z I‡ -4. x = -4 k =

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Q: For what value of b is this piecewise function continuous? 8x +3, x < −6 7x+b, x ≥ −6 f(x) =

A: Please see the below answer.

Q: 2.10

A: (a)  x=3y-3y3 ,  about x axis volume(V)=∫ab2πR(y)H(y)dywhere R(y) is radius H(y) is height

Q: Find the product and simplity it possil ((r-q)^(2))/(5r+5q)*(5r)/(r^(2)-rq)

A: let  D=(r-q)2(5r+5q)×5r(r2-rq)

Q: Let a = 3/2 + 34. (a) Compute a³ and write it in the form pa+q where p and q are integers. Use this…

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Q: A bungee jumper dives from a tower at time t = 0. Her heights in feet at time t in seconds is given…

A: A bungee jumper dives from a tower at time t=0. Her height s in feet  at time t in seconds is given…

Q: 23. 25. 2 3 (ਜ) J 4 2x + 1 [³2x - 1 (

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Q: F(s) 3s² - 7s +5 (s − 1)(s 1) (s - 2)

A: As we know from the inverse Laplace transform identity. 1). L-11s-a=eat 2). L-11s-an=eattn-1n-1!…

Q: 7. A function f has a Maclaurin series given by x³ + x²x² 5 X' 3! 5! n 2n+3 (-1)"x²+3 X (2n + 1)!…

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Q: -6 1 -4 1 -2 I I 1 9 Given the graph of f (x) above, find the following limits. 4- 2- 0 -2- A T 1 1…

A: We need to find the given limit form the graph.

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(1, 0, 1),…

A: given  P(1,0,1) Q(7,2,1)vector equation is  r(t)=&lt;P&gt;+t&lt;PQ&gt;

Q: Find an antiderivative F(x) with F' (x) = f (x) = 5 +28x³ + 14x6 and F (1) = 0. Remember to include…

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Q: Find the derivative of f(x) = √7 - 2x. To enter √a, type sqrt(a). ƒ'(x) = [ 80

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Q: Does the sequence (an) converge or diverge? Find the limit if the sequence is convergent. an n! 42n…

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Q: 13. y'=xy³ (1+x2)-1/2, y(0) = 1

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Sketch of the region: It is forming a disc. So disc method is used.

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: The population of a city is tripling every 7 years. If its current population is 18,000, what will…

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Q: 1) Suppose velocity, v(t), of an object at time t is given by this piecewise defined graph. Assume…

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Q: K For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: Sy-10 y²-4y+11 2. S dy

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Q: 1. Let h(x): = 4x³ + 3x - 2. Use the Intermediate Value Theorem to show there exists x = 1 and x = 2…

A: Given query is to apply IVT.

Q: Find the acceleration of the specified object. A boat is pulled into a dock by means of a winch 24…

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Q: Complete the following probability distribution table and then calculate the stated probabilities.…

A: Please see the below picture for detailed solution.

Q: ← Suppose the position of an object moving in a straight line is given by s(t) = 1² -1² + 6. Find…

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Q: Using the definition, calculate the derivative of the function. Then find the values of the…

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Q: Sketch a graph of the following hyperbola. Find the center, vertices, foci, and asymptote equations…

A: Given: x^2/ 36 - (y− 1)^2/4 =1

Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: y=f(x)=x2+xat x=1 , x=4 (a)  equation of secant line is y=mx+c,  where m is slope

Q: unit is $580 per month, all 50 units are occupied. However, when the rent is $625 per month, the…

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Q: g) f(x)=√1-ecos(1-x²)

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Q: The region in the graph shown is to be revolved about the x-axis to generate a solid. Which of the…

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Q: Problem 3. where find 8² z Ətəs If z = xey x = p² + s² + t² and y=2rst

A: We need to find second partial derivative of 'z' w.r.t. 't' and 's'.

Q: (c) a = i + 2j + 4k, b = 2i + 3j - k O orthogonal O parallel O neither

A: according to policy we do only first psrt of multiple there for re post other parts in next question…

Q: Use the following two complex numbers to answer the remaining questions: z1= 3cis(30°) z2=…

A: Given that , z1=3cis30° and z2=4cis-120° Convert to rectangular form. Then graph both complex…

Q: Which of the following is an expression for the arc length of the curve r(t) = over the interval 0…

A: Given equation of curve is r(t)=2t2+1,2t2-1,t3 and interval is 0≤t≤3.

Q: Suppose the solution set of a certain system of linear equa- tions can be described as x₁ = 5+4x3,…

A: Suppose the solution set of a certain system of linear equations can be described as…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Given: (x is number of items) Demand function: d(x) = 518.4-0.5x² Supply function: s(x) = 0.4x² Find…

A: here we have to find the producers surplus.

Q: 1. Is the function g(x) = x² + 3x - 10 x-2 r²+3r-10 continuous at x = 5? If so, why, if not,…

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

Q: 1 im f(x) = 4x +3 y=7 00 sx+4

A: To find the limit of the given function.

Q: Use the nth-term test for divergence to show that the series is divergent, or state that the test is…

A: Given series:- ∑n=0∞1n+1

Q: ܓ

A: We are asked to find the function is not differentiable.

Q: (a) Use a graph of f(x) = = √2x² + 9x + 2 - √2x² + 2x + 1 to estimate the value of lim f(x) to one…

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Q: 4 5g fg 25 y.fig 14841551-800 = 8.162-8.02 0.142 = 0.1 2 decimal Sig. fig what does that mean? I got…

A: We will use concept of significant figure and rounding off.

Q: Find the linearization of the function z = x√√y at the point (7, 25).

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Q: Let C be the line segment connecting the point p = (2, 5,0) to the point q = (0,6,-5). Find a curve…

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Q: A developer is considering buying a building for $474,000. She will use a straight-line depreciation…

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