8. Find when x = t3 -t and y = 4 –- t². dx'

Q: QUESTION 10 9dz 9dz The infinity in the can be eliminated by lim 2 (1-3z)4 t o2 (1-3z)4 O True O Fal...

A: The given integral is I=∫2∞9 dz(1-3z)4...(1)

Q: Square roots of 5(cos(120degrees)+isin(120degrees)) Find the roots of the given complex number in tr...

A: Given :square root of 5(cos120°+isin120°)

Q: x² – y + 1 f (x, y) x² – y? + 1 -

A:

Q: Graph the function f(t)=(t − 1)² and find its average value over the interval [0,3].

A: Follow next step

Q: a) State the number of edges in the complete graph K9, where each pair of distinct vertices is adjac...

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Q: Given y = 3x2 and x = t2 - 1, find dy/dt for t = 1 %3D 1) 3 2) 6 3) 0 4) 12

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Q: 13- Find the volume V of tetrahedron bounded by the coordinates planes and the plane z = 6 - 2x + 3y

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Evaluate: xydydx using inner limit 2x2 to (1 + x) and outer limit 0 to 1. O a. 0.375 O b.0.71 O c. 3...

A: Given

Q: Evaluate the following integral. z+6 dz z(z² +4) Can partial fraction decomposition be used to evalu...

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 Σ 4 n = 1...

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Q: An observer notices an airplane flying horizontally with a constant speed of 200 kph at an altitude ...

A: Given query is to find the rate of change of distance.

Q: Find the equation of the normal line to the curve y = 2x - x at (2, 0). O a. 2x - y = 4 O b.x - 2y =...

A:

Q: Evaluate the limit lim sec 3 1→ 10

A: Given problem:-

Q: Find the absolute extrema

A: We use second derivative test for this problem

Q: 1. Describe the graphs of the equation (a) r2 = cos 20 in cylindrical coordinates. %3D (b) p= sec o ...

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Q: A Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes. Exact...

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Q: The Cartesian coordinates of a point R are (0, 0, 3). How can this point R be expressed in spherical...

A: Find your answer below 

Q: 1. Determine the following information regarding each function step by step and then sketch f (x) = ...

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Q: Find the lines that are tangent and normal to the curve at the given point. y = 7 sin (TX - y), (-1,...

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Q: 8. Find the following given f(x) = 4x – 6, g(x) = 2 x. a) (f + g) (x) b) (f- g) (x) c) (fg)(x) d) (f...

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5+ 4...

A: From the given graph we can see that there are three points at which the given function is zero i.e ...

Q: Let 5n + 14n 3n - 5n2 - 23 bn 3n? Calculate the limit. (Give an exact answer. Use symbolic notation ...

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Q: The allergy tablet shown consists of a cylinder with a height of 2.05 mm and radius r with hemispher...

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Q: 2x² + 3 dx J x(x – 1)2 x(х —

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Q: - Use integration by parts to show that if f has an inverse with continuous first derivative, then (...

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Q: An air traffic controller is monitoring two small planes flying at the same altitude. One is flying ...

A:

Q: sec x (Ъ) у -

A: Let's find. 

Q: Set up (Do not Solvel) the volume of the sold whose base is bounded by the graphs of yx+1 and y x?. ...

A: Given y=x-1y=x2-1The cross section are perpendicular to the x -axis are equalatral triangles a=x-1-x...

Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a di...

A:

Q: expressed in cylindrical coordinates, is (v2, -7, 0). What are the Cartesian (rectangular) coor 1, 0...

A: We will express the cylindrical coordinates in Cartesian coordinates. 

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 5 + n 4n...

A:

Q: 1. Let f(x, y) = 3x²y+ 2y. Then f(1, –1) = -5. Use approximation (12.8.1) to estimate the value of f...

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Q: An angle measures 2.4 radians and the initial ray of the angle points in the 3-o'clock direction. A ...

A: Please refer to the image below 

Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: (x – 3)" Σ For what value of x does the series converge? n=0

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Q: find fsubxz if f (x, y, z) = ye^x + x ln z

A:

Q: following

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Q: Using double integration, find the volume of the solid bounded below by the plane z = 0and above by ...

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Q: QUESTION 5 Using double integral, find the volume of the solid that lies below the surface given by ...

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Q: Evaluate the following integral. 6w + 4w - 54w° - 114w – 54 dw w° - 9w 6w + 4w – 54w° - 114w – 54 3-...

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Q: QUESTION 10 Find the equation of the normal line to the curve y = 2x - x at (2, 0). O a. x - 2y = 2 ...

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Q: Determine the Fourier cosine series expansion of f (x) = sin(r2) – cos(Tx) on the interval [-1,0]

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Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph ...

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Q: Find the interval of convergence for the given power series. Use interval notation, with exact value...

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Q: QUESTION 10 How fast is the area of a circle changing when the radius is 10 cm. if the radius is cha...

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Q: 4 · t2k 4.t 7k k=0

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Q: 2x - 3 dx x2 - 3x – 10

A: we need to evaluate the integral :

Q: find the product. leave the result in trigonometric form. [7/4(cos(150degrees)+isin(150degrees)][1/4...

A:

Q: QUESTION 3 What is the graph of the equation x2 + z2 = 1? Circle Cylinder Plane Sphere

A: ⊙The standard equation of circle in x-z plane with centre (h,k) and radius r is given by:           ...

Q: 3(х — х у? г) dx dy dz Evaluate O 5 O 8 O 6 O 7

A: