Change from rectangular to spherical coordinates. (a) (9, 3√3, 6) (P₁0, 9) = (12 (p, 0, ) = (5√2 T 6 3π 2 13 元 T 4 X ) (b) (0, -5, -5)

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A: given  a=-8,15b=3,5scalar projection of b onto a is =b→.a→a→vector projection of b onto a is…

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A: f(x)=3x2+26slope is f'(x)dxndx=nxn-1d dx(constant)=0

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Q: Find the limit. sin (20) lim 0 0 0 + tan (30)

A: C=limθ→0sin(2θ)θ+tan(3θ)∂sin(x)∂x=cosx∂tan(x)∂x=sec2x∂xn∂x=nxn-1

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A: at y axis ,  x is zero let assume a point on y axis is  (0,y)given points is  (9,-9)  and (2,2)…

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Q: Part 1. For what values of x does f fail to be continuous? A) -5 B) -4 C) -3 D) -2 E) -1 G) 0 I) 1…

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Q: 4. Find the center and vertices of the ellipse. 2 4x² +9y²-24x + 72y + 144 A) Cent = 0

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: A theater manager graphed weekly profits as a function of the number of patrons and found that the…

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A: The given points are: -3, -4-3, -96, -26, -7  To find the area of the parallelogram.

Q: HOMEWORK NO. 3.2: Find the general solution. 3. (D² +6D+1)y = 0 4. (2D³ - D² + 36D - 18)y=0

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 8- |x| 8 + x lim X-8

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Q: Write an equation for a sphere centered at the point (7,2,1) with radius 6.

A: General equation of sphere -   (x-h)2 + (y-k)2 + (z-l)2 = R2 where, (h,k,l)= centre  R = radius…

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Q: In Exercises 17-24, find the horizontal asymptotes. 17. f(x) = 18. f(x): = 19. f(x) = 20. f(x) = 2x²…

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A: Let a quadratic function y( x ) = ax2 + bx + cwhere a , b , c are the constants

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A: A=limx→0sin(x9)xif we put x=0,  it is 00 form there for use l'hopital  rule

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Q: 2. (D4-5D2 - 6D - 2))y = 0 3. (D² + 6D + 1)y = 0 4. (2D³D²+ 36D - 18)y = 0

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Q: r the following equation, determine the values of the missing entries. Reduce all fractions to…

A: We will find the required.

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Q: World population¹ is about P = 7.68(1.0103)', with P in billions and t in years since 2020. (a) What…

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Q: ii) If the initial charge in the capacitor is zero, determine a formula to calculate the voltage.…

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Q: Determine an equation for the plane passing through the point P(-4, 2, 0) and containing the line…

A: Let's find equation of plane.