onvert the point p = (2,7) in the polar coordinate system to its artesian coordinate equivalent, and sketch the point.

Q: =: Triangle may not be drawn to scale. pose a = 3 and b = 8. an exact value or give at least two…

A: Please refer to the image below

Q: Which of the following is an appropriate choice for & when proving the following limit? lim(x² - 2x…

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Q: conver the Following differential equation into a Perfect equation and then find 1+5 general…

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Q: 4

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Q: Let A be the curve containing of the line segment from (0, 0) to (2, 0), the portion of the circle…

A: Given: A is the curve containing the line segment from 0,0 to 2,0 to the portion of the circle…

Q: 6) F(x, y, z) = (xy²z4, 2x²y+z, y³z²) a) Find curlF. b) Find divĒ.

A:

Q: Find all local maxima, local minima, and saddle points (if any) of the following function. If these…

A: A detailed solution is given below.

Q: The survival of ancient manuscripts can be modeled by the logistic equation. The number of copies of…

A: The survival of ancient manuscripts can be modeled by the logistic equation. The number of copies of…

Q: the polar coordinates to find the volume of a sphere of radius 1. -

A: Given;  Sphere of radius 1.

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

A: We need to s0olve D.E.

Q: Using trigonometric substitution in integrating sqrt (x^2 - 49), the adjacent side is equal to?

A:

Q: 7) Use the double integral of a cross product to find the surface area of x = z² + y that lies…

A: Let's find surface area  by using double integral.

Q: Given the vector function F(t) = (+1, 1-2t², 8t-4), find the are length of this curve on the…

A: Please refer to the image below

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: Let's find lowest and highest temperature by using langrange multipliers.

Q: 5. Set up an iterated triple integral in the order dædzdy that gives the volume of the solid in the…

A:

Q: da d²y +6- dx dx² + 11 dx+6y = ex + cosx бу

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:-

Q: these is closed? OnA_n where A_n=(0,1+1/n) OnB_n where B_n=[0,1+1/n) OUC_n where C_n= [(2n+1)/n, 3]…

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Q: Question 2 A. B. A system of linear equations is given below. 2x + y + 2z = 1 x + 4z = 2 y = 2z = 1…

A:

Q: The region trapped between y = = 4x - 2x² and 4x-2x² |y= ५-२x२-३ = 21² - 1³ y = a) Set up the…

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and y=g(x) on the…

Q: Sketch the function f(x): x² +1 4x²-9

A: We need to sketch the function.

Q: 1 2 In|2|

A:

Q: th each graph with its equation of a. r= cos(20) b. r = cos(40) c. r = sin(40) d. r = cos(50) e. r =…

A:

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (8x…

A: Given

Q: The region trapped between y = 4x - 2x² and y 4x-2x² - 2x² - ³ is shown below. a) Set up the…

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Q: A force is specified by the vector F = [(80)i + (50)j + (110)k] N. Calculate the angles made by F…

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Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: We need to find horizontal and vertical component.

Q: I. Solve the following Linear Systems of Equations by Gaussian Elimination: 1.) 6x + 2y4z = 15 -3x -…

A: To solve the system using the gaussian elimination method.

Q: e. at the course h the courf. e obtained fr eln (1-t) - dt 1-t A ed to you in any form is ed on [√x³…

A:

Q: #6 Suppose the position of a projectile is expressed by the vector-valued function Describe how you…

A: As per Bartley guidelines we are supposed to answer only three subparts of one question per post.…

Q: Evaluate the integral. 37 (x - 1)(x² + +36) dx

A:

Q: || B a A b Note: Triangle may not be drawn to scale. Suppose a = 4 and A = 5 degrees. Find: C = B =…

A:

Q: b). Using an appropriate triple integral, evaluate the volume of: [Verify using Mathematica 1). ii).…

A: We have to find the volume.

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A:

Q: Given: Let B (x, y, z) = (xz, yz, 3x² - z²). 1. The task is to identify the work done by B on a…

A:

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: find inverse 5-11 -7-9

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for fæ(t) =…

A:

Q: In spherical coordinates, the equation below describes what? O a plane O a cone O a sphere O a…

A: topic- spherical coordinate system

Q: 7. Find the general solution to the differential equation 2²y+2y=2¹/¹/2

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Q: Find the indefinite integral. √4x In (7x) dx √4x In (7x) dx =

A:

Q: 2 Find the area bounded by the parabola y = 4x and the line y = 2x - 4. 3 sq. units 6 sq. units 9…

A: Given that  :   y2 =4x and y=2x-4 . And we find area bounded by this parabola and line.     Here i…

Q: USING CYLINDRICAL METHOD Find the volume of the solid obtained by rotating about the y-axis the…

A:

Q: estion 9 s triple integral represents the volume of a cylinder. True False V = f²" f²f³ r dz dr do

A: To evaluate the triple integral.

Q: Using integration by parts for getting the integral of ex cos 2x will give way to another…

A: To find  ∫excos 2x dx we use the integration by parts and it will give another integral in which we…

Q: The region D bounded by y=0, x=y - 1, X x = as given in the following figure. YA 3.0+ 2.5- 2.0+ 1.5+…

A:

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: A-1 =1AadjA .

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 64 dx - +8

A:

Q: Use the graph below to fill in each entry of the grid with positive, negative or zero. y = f(x) f''…

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Q: 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b.…

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Q: Let Sketch the curve and find the length of this curve. r(t) = (t, 3 cost, 3 sin t), 0≤ t ≤ 2π.

A: