how the derivation of formula for the conversion from spherical coordinates to rectangular pordinates.

Q: Write the value of lim, 4x2-16 →2 x-2

A: Topic = Limits

Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

A: Let's find. 

Q: Find the extrema of the following function on the given interval, if there are any, and determine th...

A: Given: fx=4x2-8x+5  & -2,2   The Power law: ddxxn=nxn-1

Q: The tables to the right show recent state income tax schedules for individuals and married couples. ...

A: topic - percentage

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Let A = [0, 1] and define fn(0) = fn(;) = fn(1) = 0, fn(;) = n and fn to be linear on each of the se...

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Q: Can someone explain how (n + 1) and (n + 2) can be integers? and also how can they be bigger than 1?

A: Answer: 1:  The solution is as given below:

Q: Let an​ be an arithmetic progression, for which a1​=15 and d=3. Find the sum of the first 10 element...

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Q: Evaluate the following, 8 [? + 3) e-2* dx, and write your answer in the form g(x) e¯2x + C.

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Q: Solve the difTerential equation. Write your answer in the form F(y)=G(y) do not attempt to sole for ...

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Q: dy 1. Using Logarithmic Differentiation, find given that dx -3 sec-(V) 4*(log2 x)sech z

A: Find your answer below 

Q: 4 3

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Q: We have from part (a) that f(x) = 3x- 8 x +8 r-l(x) Sketch the graph by plotting the lines of f(x) a...

A: Find your answer below 

Q: Find the absolute extrema of the function on the closed interval. 6x2 x - 2 g(x) = [-2, 1] minimum (...

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Q: Use Newton's method to approximate a root of the equation 3z + 2c + 1 0 as follows. Let 1 = 1 be the...

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Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: Find the absolute extremd of the on the closed interval. 6x2 g(x) (-2, 1) X - 2 minimum (x, y) (smal...

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Q: Let z ax y + bx'y?, with a and b constant. P is a point given by (1, 1) and it is known that az (Р) ...

A: Solution is written in below steps.

Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to v...

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Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

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Q: (2x² + 3) dx (x² + 1)2

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Q: Use sigma notation to write the sum. j=1

A: Given that 5-192+5-292+......+5-992Solution:

Q: (b) - f(a) Find the value or values of c that satisfy the equation f'(c) in the conclusion of the me...

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Q: In the quadratic equation problem a student made a mistake in copying the coefficient of x² and got ...

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Q: Use the Endpaper Integral Table to evaluate the given integral. If you have a CAS, use it to evaluat...

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Q: Find the area of the region bounded above by y = -x2-3x-2 and below by y = -2. AY 51 4 3 54 32 t 1 2...

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Q: Make the u-substitution 2u 1- u? dx = 1+ u2 sin x = Cos x = and du 1+ u? to convert the integrand to...

A: integration using the substitution method

Q: The follamng expression shaws an eqution of a conic section such that he ordered pair (Vx, Vy), corr...

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Q: Q3:Graph the following function:- 1- f(x) 1x- 31-1 2- x-1-y2

A: Given: 1) f(x)=|x-3|-12) x=1-y2

Q: Find the extrema of the following function on the given interval, if there are any, and determine t...

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Q: Sketch the region whose area is given by the definite integral and then use a geometric formula to e...

A: Given

Q: Assume that the rate at which a cup of coffee cools to room temperature is proportional to the diffe...

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Q: Find dy/dx of the following function using Chain Rule. y=(x3 + 3)5

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Q: Use quotient Rule: 2 6. y = X-3 5. У x2 –5x + 6

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Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summ...

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Q: Write the letter of the item that corresponds to the best response. What is the average value of the...

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Q: Convert the equation f(t)=228e^−0.2t to the form f(t)=ab^t

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i, j...

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Q: Example is given: The sum of three consecutive terms of an A.P. is 24 and their product is 440. Find...

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Q: For z=-5x° and a 2yt pont PEIR?, we have dz dy. -2 What is the value ef P

A: Solution is given below:

Q: equation by integration x? dy + 3xy=x %3D

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Q: Which two numbers should come next in the sequence 18, 23, 28, 33, ..? Select the correct response: ...

A: Find your answer below 

Q: C. Directions: Solve the given problem using continuity of a function it is estimated that a worker ...

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Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

A: 1. Graph of M versus t is shown below - 

Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54 ...

A: The area formed is of trapezium

Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the ex...

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Q: perpendicular lines have the slope m1,m2 = 1 False O True

A: This is a problem related to the slope of the line which is perpendicular to existing line.

Q: 45. s 2 2 sin t -

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Q: Suppose f is a function such that f'(7) is undefined. Which of the following statements is always tr...

A: This question can be solved by applying the relation between continuity and differentiability of a f...

Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, –1), (8, –1), ...

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