Sketch the graph and the curve represented by x = 3 cos 0 and y = 4 sin 0 ,0 < 0 < 2n by eliminating the parameter and finding the corresponding rectangular equation.

Q: The graph of y = 2x1/3 + x4/3 changes its concavity at: 1) nowhere 2) both (0,0) and (1,3) 3) (0,0)…

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Q: 1 5. Find y" of y= sin 3x

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Q: Provide an appropriate response. Consider this graph. a b. de x Using the graph and the intervals…

A: Here is the solution

Q: 3) Which type of quadric surface listed in Table 2 below is 4x² + y² + 4z² – 4y – 24z + 36 = 0?

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

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Q: Find the centroid of the area under the curve y = x² from x-2 to x-4.

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Q: Use the quadratic formula to solve forx. 5x+5x-1 0 (If there is more than one solution, separate…

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Q: Tutorial Exercise Evaluate the definite integral. Use the integration capabilities of a graphing…

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Q: The base of a three-dimensional figure is bound by the circle x² + y? = 16. Vertical cross sections…

A: Given  x2+y2=16y2=16-x2y=16-x2

Q: Find all points the graph of f(x) = 2 sin x + sin?x where the tangent line is horizontal on

A: Solved below

Q: Se*V9-e2x dx

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Q: Cost, revenue, and profit are in dollars and q is the number of units. Suppose that the total…

A: Let's find.

Q: In x dx e

A: The given integral is  ∫ee8lnx3x dx we solve the integral using proper substitution in the integral.

Q: Verify Green's Theorem by evaluating both integrals ƏM y2 dx + x2 dy = dA ду for the given path. C:…

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Q: Let vector Ñ be normal to plane x – 5y – 2z = 3, and let Ē = (3, – 2, 1). Find the following. 1. The…

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Q: How many man hours are required to load a freight car with 40 tons of product packaged in 100-lbs…

A: Total load=40 tons 1 ton in US=2,000lbs 40 tons=80,000lbs

Q: Jim is flying two kites. He has 99 feet of string out to one kite and 110 feet out to the other…

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Q: y" – 6y' + 9y = 0, y(0) = 0, y (0) 2. -

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Q: Consider the function f(x) = 2x - 9x – 60x + 10 on the interval [- 4, 9]. Find the average or mean…

A: Use the formula for the average value and concept of mean value theoram.

Q: ded above by surface z = 10 – x2, bou e planes y = 0 and y = 3.

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Q: 1 0.5 -5 -4 -3 -2 1 2 f -0.5 -1 -1.5 -2 Find the following limits, if they exist. 1. lim f(x) 2. lim…

A: Explained below

Q: The one-to-one functions g and h are defined as follows. g (x) = 3x+13 h= {(-8, -3), (-3, 2), (3,…

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Q: Which of the following answer choices correctly graphs the equation below? y=cos(x+ 3π/4) −5

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Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: Given:

Q: A region bounded by f(x) = 3 - x, y = 0, and x = 1 is shown. What is the volume of the solid formed…

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Q: Find the indicated derivative for the function. f′′(x) for f(x)=2x7−9x2+2x−

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Q: Evaluate. (Be sure to check by differentiating!) 1 dx, x - 2 4 + 2x

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Q: B a12 16 Havithmetis sequence first tom anas and its hasis r= -2 its seven the termay?? 2-17 O az217…

A: Answer -  a1 = 5 Difference (r) = -2 Find 7th sequence

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges…

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Q: Find the absolute maximum and minimum values of the function over the indicated​ interval, and…

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Q: Continuity: a. Determine the points of discontinuity and classify them. b. Give the domain and range…

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Q: Determine the value(s) of x where the slope of the tangent to g(x) = (x+ 5)(x² – 1) is -7. %3D

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Q: a) Find the fifth term of the sequence 16 31 46 61 9 ' 15' 21' 27 b) Find the general term of the…

A: a. if you observe carefully, you will see that numerator and denominator of the terms of sequence…

Q: Draw the graphs of the given functions. Find their points of intersection. Find the area bounded by…

A: Given curvesy = 4x2y = x2+3

Q: Task 2: Find the point on the curve y = x^2 closest to the point (0, 15)

A: answer is in next step

Q: 10. On a typographic map, the contour lines show changes in elevation of the land. You and a friend…

A: a) From the figure I have an elevation of 200 ft and the elevation of my friend is = 800 ft. So the…

Q: Find the derivative of 1-3)* (t3 -8) ,t # 2 2-t

A: Explanation of the answer is as follows

Q: Consider the series (z – 9)6, (z - 9)8 E4. = (2 - 0)2 + (- 9)“ E, = (z - 9) + +... 3- 2! 9.3! 27- 4!…

A: This question can be solved using the concept of general term of series.

Q: 10 | f(x)dæ 43 what is 11' Given that f(8)ds? 10 answer -

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Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

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Q: 3. Determine the exact value of x given the following information. a) a = 2,r = 3, t, = x b) a =…

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Q: Test the series for convergence or divergence. Eh=1 n35n (n+ 2)!

A: To test the series for convergence or divergence. ∑n=1∞ n·35nn+2!

Q: a) Find the fifth term of the sequence 16 31 46 61 9' 15' 21' 27 b) Find the general term of the…

A: a)169,3115,4621,6127,....b)1010,1815,2620,3425,....

Q: Rewrite the equation x? + y? + z² = 2 in spherical and cylindrical coordinates.

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Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

Q: 17. f (x) = (1+ 4x)²

A: Solve the following

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A: Here, note that the sequence an is convergent if  limn→∞an ia finite,

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

A: Given problem:- Use a double integral in polar coordinates to find the volume V of the solid bounded…

Q: Consider the function f(x) 1 on the interval 4, 8]. Find the average or mean slope of the function…

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Q: Answer 2 only

A: Solved below