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

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A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

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Q: Determine the absolute extreme values (maximum and minimum) of the function f(x)=Vx² -4x+13, for 0<x...

A: Topic:- application of derivatives

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Q: b. Si x-2ª 3 1

A: ∫13dxx-2    =  [ lnx-2 ]13   =  ln|3 - 2| - ln|1 - 2| =  ln |1| - ln |-1|   =  0 - 0  = 0 

Q: y' +y = -x®y5 will be transformed to the following 8.

A: Given: - The Bernoulli's equation is, y'+3xy=-x8y5 To transformed: - The given Bernoulli's equation ...

Q: Given the vector u = - 6i – 3j, find the magnitude and angle in which the vector points (measured co...

A: Here we will find the magnitude and direction of given vector,

Q: Find the exact length of the curve. v= In(1 – x²). y 0 <x < 1 In(|3|) - 8.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Is G-1 a function and why/why not? Yes, no two ordered pair...

A: Given  G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Therefore G^(-1) = { (0, 1), (3, 2), (-1, 0), (-2, -1...

Q: 5. lim e(ochr)

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Q: Find ((dy)/(dx)) if y is a differentiable function of x and x^5+3y^4=x^5 tan y + 10

A: Given

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Q: Q4: Find by using udv method cos bx dx ax

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Q: Find the volume of the solid generated by revolving the region under the curve y=: for 0<<1, about t...

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Q: Name the amplitude and period of y = 2sec3x 371 Amplitude: 3, Period: 2 271 Amplitude: 2, Period: 3 ...

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Q: Sketch and describe the curve defined by the vector-valued function below. 7(t) = (t cos t, t, tsin ...

A: To sketch: The curve r(t)→=&lt;tcost,t,tsint&gt; Solution: Given x=tcost,y=t,z=tsint x2+z2=tcost2+ts...

Q: 44

A: Please refer to the image below

Q: 2 (1+ 9x)* (1+3) dx 3/7

A: Solving the problem by finding the value of the integration.

Q: 3. Find a fundamental matrix for the following system. Then find a solution satisfying the giving in...

A: solve the matrix

Q: b) y = -2x2

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Q: Find the area inside the curve r = a(1+sin theta) and outside the curve (r =a sin theta). 6:01 PM

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Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y + 1 y = ‍   Graph the s...

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Q: 2.2.7 Exercise Let X be a nonempty set and S the smallest o-algebra in X which contains all singleto...

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Q: 1. lim(10 – 3x + 4x²) = ズ→4

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

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A: We have to find the equation of the tangent

Q: Differentiate the followin f(x) = (2x2 - 3x)* 4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the exact length of the curve. 2 3/2 y = = 12, 0<xs 1

A: Given ,y=23x32Aim: To find length of curve in [0,1]We know that L=∫ab1+[f'(x)]2dxTherefore,L=∫011+dd...

Q: If z = y + f(x^2-y^2), where f is differentiable, show that y(∂z/∂x) + x (∂z/∂y) = x.

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Q: 14 2

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: A function y(t) satisfies the differential equation dy =y4-5y3+ 6y2. dt (a) What are the constant so...

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Q: The number of cups of coffee sold at Lauren's Coffee House for each week in November is shown in the...

A: Consider   

Q: The infinity in the V6-ydy can be eliminated by applying lim t+ - True False

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Q: |(3x² +2)' {x) = x*(4x – 1)

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Q: The graph y = cosx, given the domain has x-intercepts at 4

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Q: evaluate the differential equation: -5y +4y =z-2+

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Q: Use the cross product to find the area of the triangle with the vertices P = (2, 2, 6), Q = (3,4, 3)...

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Q: Find T(t), Ñ(t), B(t), and curvature k for the following curve. (The curvature is constant.) 7(t) = ...

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Q: Honey is pouring out of a funnel at a rate of 3cm3/s. The funnel is in the shape of an inverted cone...

A: Given query is to find the rate of change of height when honey is at the level of 5 cm.

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: Evaluate the flux (F*n)d-sigma where F = (3xy^2, 3x^2y, z^3) and M is the surface of the sphere of r...

A: We have to find the flux (F*n)d-sigma where F = (3xy^2, 3x^2y, z^3) and M is the surface of the sphe...

Q: Question 9 Find tan'r sec?t dt A - tan²t+C B tun't + C tan" Isec*t +C_ an*r+C 4 D

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Q: Please include solutions, for me to understand it more. Thank you

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Q: SOLID MENSURATION I 4. A tower 125 feet high stands on the side of a hill. At the point 240 feet fro...

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Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: 4. Use the method of undetermined coefficients to find a particular solution to the system below. Pr...

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Q: Let m(t) be a function with the values given in the table below. 1 t 2 3 m(t) | 100 1600 25600 40960...

A: topic - exponential function

Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: What is the midpoint between z1 = 9i and z2 = 4? (2, 4.5) (-4,-9) (-2,-4.5) (4, 9)

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Q: In this question we use partial fractions to evaluate sec 0 de . First, write this integral as cos 0...

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