Given a point in cylindrical coordinate (4, , -4 ), find its equivalence in spherical coordinate. Draw the coordinate system

Q: dx = In(F(x))+C. What is F (/3) if C=0? For (x+x³) (xtan='(x) + 1) A 3 B D) 3 -15

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Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 5n/6 7...

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Q: (D³ + 4D² + 9D + 10)y = -24e¯* when x = 0, y = 0,y' = -4, y" = -10 ANSWER: y =e-2* + e-cos (2x) - si...

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Q: •7/4 What is the extremum of J(y) = | (/ +1– 2y)dx if the extremal y is given by y(x) = sin? (x)? no...

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Q: Find the surface area of the following figure. Round your answer to the nearest tenth. 14.2 m 11 m 1...

A: Clearly, the given figure is a pyramid.And we know that the surface area of a pyramid is: S=B+12P·l ...

Q: a) Pablo stands on a high dive platform for several seconds. Then he dives into the pool and swims a...

A: We are given two situations and 4 choices of graphs each of which represents the situation. We need ...

Q: f (x) = 1+ 2x, if – 1 < x < 0, 1 – 2x, if 0 <x < 1.

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Q: 1+2x, if –1 <x < 0, f (x) = 1 – 2x, if 0 < x < 1.

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Q: 4n+1 4 n+3 (c) lim n+3 (е) lim 0 = ,? -13

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Q: Determine the Laplace transform of: (a) cos(st + 0) (b) sin(ot + 0)

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Q: („4) Let bn and cn = COS for all n E N such that n > 2. Determine whether the = COS n given series c...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.6 year...

A: Solution:   

Q: Prove that of all rectangles with given perimeter, the square has the greatest area.

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Q: (2– sec?x) eln (xle) sec(3A – x) 'sec³x What should be the value of A for to be integrable using the...

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Q: e In (x le) (2- secx dx to be integrable using the formula - se What should be the value of A for u"...

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Q: 7. Which of the following is a loop? A B F Figure 1 A) ВС B) DC C) AE D) None of the above

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Q: log(2 + (3 * i))^e =

A: Consider log2+3ie. We know that logx+iy=logx2+y2+itan-1yx and logza=alogz. Therefore log2+3ie=elog2+...

Q: Find the roots: x3 = 2 - 3i

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Q: Find the solution to the following initial value problem by finding the general solution to the diff...

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Q: Find the Volume of the following figure: 13.3 mm 16 mm 20.5 mm O1425.24 1659.84 O.1692.07 173622

A: The area of a triangle is calculated using the formula: A=12bh, where b, h are the length of the bas...

Q: 1. Given / || m; m25 = 81°; and mz13 = 32° Find all of the other angles. 7/8 11 12 10/9 14 13

A: Here we will use the concept of vertically opposite angles, transversal  angles and alternate interi...

Q: 3. Use Gauss-Jordan Method to find the solution of the system of equation below. Enclose the Gaussia...

A: The given problem is to find the solution for the given system of linear equations using Gauss Jorda...

Q: Sketch the graphs of the following functions. 1 (i). f(x) = x 3 (ii) f(x) = x + x? (iii) f(x) x? - 1...

A: We have drawn graph of each functions by hand . 

Q: On each chord of 9?²+ 16?² = 144 perpendicular to the x-axis is erected an isosceles right triangle ...

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Q: The equation that gives the depth x to which the ball is submerged under water is given by x² -0.165...

A: Given equation is x3 -0.165 x2 +3.993×10-4 =0 Take  fx = x3 -0.165 x2 +3.993×10-4  Let initial guess...

Q: The function f is defined by the equation above for all real numbers x. For each mterval in the tabl...

A: Let us consider the given function f(x) then  The function is said to be the increasing if f'(x)&gt;...

Q: A soccer ball manufacturer is planning to expand its workforce. It estimates that the number of socc...

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Q: Given f(x) below solve the following: a. Fourier Series b. Graph the given signal f(x) if –1 < x < 0...

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Q: Solve the linear system using Gaussian Elimination with Back Substitution 3a + 2b + 3c + 4d = 55 2a ...

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Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4. 63/2 square uni...

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Q: Question 31 Given set A containing the solutions for 2x + Which of the following is false? 3/2 e A O...

A: We can check the values by putting then one by one in the given equation. 2x+xx2&lt;12. Please post ...

Q: dy _ y-y 2. Consider dx Solve this differential equation by using an integrating factor and = making...

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Q: dy/(3x2) = (1 + y²)1.5 dx.

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Q: Find (∂z)/(∂s) and (∂z)/(∂t), given: (a) z = x2 - 2y2 ; x = 3s + 2t, y = 3s - 2t

A: It is given that,            z = x2-2y2  ;  x = 3s+2t  ;   y = 3s-2t We have to find  ∂z∂s  and  ∂z∂...

Q: Find the inverse laplace transform of: 25 + 26 V(s)= s(s°+ 4s + 13)

A: The given problem is to find the inverse Laplace transform of the given function, We have to split t...

Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³) (x Tan-!x +1)

A: first integrate ∫dx(x+x3)(xtan-1x+1)

Q: by constructing täble of lues. t-0 3t t -1 -0.5 -0.01 -0.001 f(t) 1 0.5 0.01 0.001 f(t)

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Q: I, 6) 6. (a) Let (x», yo) be a point of the plane, and let L be the graph of the function f(x) = mx ...

A: here i am giving you a geometrical proof.

Q: 3.) Calculate the curve integral (1 – x² + y²) dx + (1 + 2² – y²) dy. Here C consists of the curves ...

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Q: (x? — 2х — 3) у" +ху'+4у %3D 0; хо — 4, Хо 3 — 4, хо — 0 Хо — 4, хо — - 4, хо — 0 |

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Q: 1. Can you think for other examples of DISCRETE and CONTINOUS? o Please give at least 2 for each. 2....

A: Discrete data: It will have a finite number of possible values which can be divided into small value...

Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

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Q: 18-19. What is the value of the correlation between Academic Performance and Digital Literacy? Digit...

A: Correlation coefficient between the variables x and y is given by the formula r=n∑xy-∑x∑yn∑x2-∑x2n∑y...

Q: 3- (2. -6 -5 -4 -3 -2 2. -2 -5 -7 -8- Write an equation for the graph above. f(z) = 4.

A: Graph of the trigonometric function

Q: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

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: Find the maximum value of f(x,y,z)=y-z subject to x+y+z=1, x^2+y^2=1.

A: Let us consider the function f(x,y,z)  To determine the maxima subjected to g(x,y,z)=0 Find the lan...

Q: (2– sec?x) eIn (ale) sec3x Surau? What should be the value of A for dr to be integrable using the fo...

A: Option D is the correct.

Q: Example-Approximate Error For f(x) = 7e05 at x=2 find the following, a) f'(2) using h=0.3 b) f'(2) u...

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