Find the arc length L of the graph of r(t). 1 r(1) = r} i + t j+ Vor² 2

Q: The demand curve for a certain product is given by p(q) = 517- q. The supply curve is given by p(q)…

A: We have to find the consumer surpless.

Q: Q11. Suppose z = f(x, y), x = g(t), and y = h(t) satisfy: h(7) = -2 h'(7) = 1 f-(2, –2) = 2 fy(2,…

A: Suppose z=fx, y, x=gt, and y=ht satisfy: g7=2, h7=-2, fx2, -2=2g'7=-3, h'7=1, fy2, -2=0By using the…

Q: An object with an initial velocity of v(1) = 2 has an acceleration of a(t ) = %3D ( 2t – 1) What is…

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Q: (c) in the tank to a height of 1 m above its top. Give a definite integral that computes the total…

A: answer is in next step

Q: Calculate the higher derivative. (Use symbolic notation and fractions where needed.) d? 8 cos (1) =…

A: To find,  d2 dt28 cos2(t)

Q: Find the average value fave of the function f on the given interval. f(x) = 18x – x², [0, 4] fave…

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Q: Find the minimum and maximum values of the function y = x-1 on the interval [1,6] by comparing…

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Q: The series (-1)"+1 is: n³/2 n=1

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Fill in the Venn Diagram below by dragging the appropriate entry to the orrect location given that:…

A: Explanation of the answer is as follows

Q: An airplane takes off from an airport at sea level and its altitude (in feet) at time t (in seconds)…

A: We have to find rate of climb of airplane at t=180 sec.

Q: Given the following matrices. -6 -2 -4 1 0 10 [C] = and [D] = 6 -7 1 -6 -5 -7 7 -9 -1 Find [C] [D]"…

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Q: Find the volume of the solid generated by revolving the area bounded by y = x³ and x? = y3 about the…

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Q: 144y + 864y - 25a? - 50x = 2329 %3D

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Q: The Maclaurin series for cos x is Eo (-1)"; What is the n%3D= (2n)! coefficient of the term forx*?…

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Q: dy Suppose ax 3 and y( ) = 2. 1+9x2 3 T What is y( 4 )? Оп O 2.261 O 2 IT 4

A: See below the answer and calculation

Q: 7- Use the limit definition to compute f' (x) and find equation of the tangent line at r = 3. f (z)…

A: topic - derivative of a function using limits

Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: 6. A particle is moving along a straight line. After t seconds the distance the particle has…

A: Here, the acceleration a of the particle is given by:…

Q: The demand curve for a certain product is given by p(q) = 541 - q. The supply curve is given by p(q)…

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Q: @ d(uV)- udv +vdu V du-udv prove the following du O dlnu)= #an dhan'v)= dv

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Q: 3. Consider the graph of y = ln (x) + 1. Calculate the area enclosed by the curve y= ln (x) +1 and…

A: The region is bounded by y=ln(x)+1 and the y-axis between the lines y=1 and y=2

Q: If the slope of the graph of f (same as slope of tangent line to graph of f), at the point (1, 2),…

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Q: Recall that csc(x) and cot(x) = sin(x) cos(x) sin(x) d4 cot(x) The ratio dx csc² (x) is a constant…

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Q: Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1) You…

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Q: 11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

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Q: Evaluate the definite integral. ra?/3 xVx6 + a2 dx (a > 0)

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Q: 64 8 If f is continuous and f(x) dx = 18, find xf(x²) dx.

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Q: Write the equation in standard form. (Use xp for x’ and yp for y’

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Q: 5. Use the Laws of Logarithms to expand the expression. x + 2 3 (a) log (b) In y (c) log. x(x² + 4)

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Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

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Q: (c) in the tank to a height of 1 m above its top. Do not evaluate the integral – just write it down.…

A: answer is in next step

Q: certain city the temperature (in °F) t hours after 9 AM was modeled by the function T(t) = 59 - 2.2t…

A: Given query is to find the average temperature for the given time interval.

Q: f(x)=x-4/x^2+2x+17 What monomial expression best estimates the behavior of x-4 as x→± ∞ ?…

A: Given problem:- f(x)=(x-4) /(x2 +2x+17)    What monomial expression best estimates the behavior of…

Q: Consider the indefinite integral 26 dx: (x7 + 6)"

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Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

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Q: What are the foci of this conic section?

A: We have to find the foci of the given hyperbola.

Q: 240 2 s7 17(s-1)8

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Q: Right triangle ABC has a hypotenuse BC that maintains a length of exactly 15 yards. If the leg AC is…

A: For finding the rate of change of angle  we will use some trigonometric functions like…

Q: Determine whether the sequence is convergent or divergent. If it converges, find the limit. S(3(n –…

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Q: sec(tan(2x)) – 4 6. dx (cos(2x))? 8. / e*-* dx T e3x-e3x

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Q: Find all exact solutions on [0, 2?). (Enter your answers as a comma-separated list.) 2 tan2(t) =…

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Q: (x² (а3 — 2)da 4x +

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Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.

Q: 3"x" Σ ,x € R, is: n! A primitive for the function f(x) = n=0 Choose an option: 3n+1n+1 (n+ 1)! n=0…

A: Solved below

Q: Find the solution of the following IVP using Laplace transforms given that f(0)=1 and f (0)=2: d…

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Q: Let p= -x - 2x + 20 be the demand function, where p is the unit price of a certain commodity, and z…

A: We have to find the quantity and consumer surplus.

Q: Write the general equation for the circle that passes through the points (1, 1), (1, 3), and (9, 2).…

A: To find the equation of circle passing through three given points.

Q: (a) Shift it to the right 2 units. Denote the function that results from this transformation by fl.…

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