Find the exact length of the curve. x = 8 + 9t?, y = 3 + 6t, 0 sts4

Q: Q5/ Find the volume of the Tetrahedron that is determined by three edge vectors a = [1, 0.-3),…

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Q: The solid of revolution is obtained by rotating the region bounded by y = x² – 2x and y = x about…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the limit. NOTE: Enter the exact answer. lim x→0 sin? 2x

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Q: Evaluate the integral. 3. [(ax-2-4) dx 2.

A: The given integral,        ∫234x-2-4dx

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 3n + 4 n= 1…

A: We will solve problems by comparison test.

Q: Find the work F dr done by the force F + yj+k around the curve C that is formed by the intersection…

A: Find your answer below

Q: (approximations:Numbers of significant digits in).Suppose approximations a≈a*, b≈b*,....,z≈z* are…

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Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

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Q: Find the Taylor series expansion for the following function about c = 4: f(x) = Vx

A: Taylor series of function fx at c is defined as:fx=fc+f'c1!x-c+f''c2!x-c2+f'''c3!x-c3+…

Q: Σ Use the Direct Comparisơn Test to determine the convergence or divergence of the series. 00 1 Σ…

A: I have appended the formula used in the solution part.

Q: Consider the following. f(x) = x3 – 75x + 6 (b) Find the local maximum and minimum values of f. (If…

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Q: The populations P (in thousands) of Horry County, South Carolina, from 1971 through 2018 can be…

A: The population P(in thousands) is given by: P=75.9e0.0316t where t represents years with t=1…

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A: We will find minima, maxima or saddle point.

Q: Find all points of intersection of the given curves. (Assume 0 ≤ ? ≤ 2? and r ≥ 0. Order your…

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Q: The gradient vector for the surface xy + xz + yz = 1 at the point (1, 1,0) is (1, 1,0).

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Q: A particle moves along the x-axis such that at any time t20 its position is a (t), its velocity is v…

A: Find your answer below

Q: 6-X Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Use the graph to match the integral for the volume with the axis of rotation. y=f(x) x-f(y) (a) V =…

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Q: y" - 4y 8xe2x %3D %3D

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

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Q: 9xdx 1 9xdx D=

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Q: Let the region be bounded by the curves y= 2 /x and y = 4, and x 16. i) (ODraw this bounded region…

A: Given problem:- Let the region be bounded by the curves y = 2√x and y=4, and x = 16   i) Draw this…

Q: Find the ppower Series represerntation for the functior Land determine the radius of f G)=X

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Q: Let y be given implicitly as a differentiable function coey + e-2 -0 then the slope of the tangent…

A: Solution is given below...

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: 5. If y = ax"+1,n # -2, then which of the following is equal to ſ ydx? %3D axn+1 А. + C n+1 С. axn+1…

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Q: Homework dy 1- Sinx dx + Cos2y=0 dy 2- Inx- dx %3D x2 +1 dx 0 y 3- xe* dy + !! 4- yv2x2 + 3 dy+ x/x…

A: Note :-these are multiple questions and according to our comapny guideline we can do maximum one…

Q: company produces a spherical object of radius 23 centimeters. A hole of radius 5 centimeters if…

A: We

Q: A commercial cherry grower estimates from past records that if 23 trees are planted per acre, then…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: Write a logarithmic equation corresponding to the graph shown. Use f(x) = logs(x) as the parent…

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Q: 14. Which of the following integrals is equivalent to cosxdx if u = V1- sin'x sinxV1- sin'x du c) ;…

A: We are asked to find equivalent integral to the given integral

Q: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Set up the integral of the volume of the solid formed by revolving the region bounded by y = x² and…

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Q: Demand for a certain kind of SUV obeys the following equation, D(x, y) = 21,000 –Vx – 13(0.9y –…

A: Here, the given function of demand is: D(x,y)=21000-12x-13(0.9y-10)32 where x is the price per car…

Q: 4. If > Cn (T + 2)" converges for -5 < x < 1, find the radius of convergence of the series. n=1

A: The given power series is cn(x+2)n , n from 1 to infinity.

Q: Write the function in the form f(x) = (x – k)q(x) + r for the given value of k. f(x) = x3 – 4x? – 8x…

A: Divide the polynomial by x+2 and simplify it.

Q: equation

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Q: Compute the double integral (86xy – x²) dA over the region bounded below by y = x², above by y = Vx.…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information sec(x) = 4, x in Quadrant IV %3D…

A: Given: secx=4, x in Quadrant IV   We know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: Devin set up a fund that would pay his family $3,500 at the beginning of every month, in perpetuity.…

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Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

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Q: 1) State the values of sin A, cos A, and tan A. 2) Using the diagram below, find sec B, csc B, and…

A: Explanation of the answer is as follows

Q: in lim n' In n→∞ n!

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Q: Classify and Solve dy cos x +y sinx = cosx dx

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Use synthetic division to divide. (Simplify your answer completely.) (3x3 – 27x2 + 50x – 56) ÷ (x –…

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Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

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