Using spherical coordinates to evaluate the triple integral zdV, where D= {(r,y, 2) E R : a s? +y + 2² < 2az, a > 0}.

Q: 3. Sketch the region bounded above by the curve y = x², below by the line y = -x – 2 and on the side...

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Q: 1 1.1 18 6 2. Find the sum of the first 5 terms of the geometric series +

A: topic - sum of geometric progression

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: the second language and 60% passed i many, at least, should have passed in

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Q: - y = (2x² – 4x + 1)60

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Exercises: Differentiate each function with respect to x. 1. y = (x³ + 3)5 2. y = (-3x5 + 1)3 3. y =...

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Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) g'(x) 4 2 1 2 4 3 1 3 2 4 4 2 1 h'...

A: Find h'(1) if  a) h(x)= f(x).g(x)  b)h(x)=f(x)/g(x)  c) h(x)= f(g(x))   Where , f(1) = 3 , g(1)= 1, ...

Q: 6 The points P and Q have position vectors, relative to the origin O, given by OP = 7i + 7j – 5k and...

A: (i) Given that: OP→=7i+7j-5k and OQ→=-5i+j+k. It means: P=7,7,-5 and Q=-5,1,1. The midpoint of PQ is...

Q: b. (2,1)

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Q: D. Evaluate the following limits by making a table of values for x. Consider 5 values of x for to es...

A: find limit

Q: f(t) = 2cosh23t Find the Laplace transform

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Q: x' +3x² +3x+1 (i) Find lim x→1 2x° +3x² – 1

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Q: omplete the following tables. HI5 I-3 2-6r +9 H-3 2-6r+9 2.5 3.5 2.8 3.2 2.9 3.1 2.99 3.01 2.999 3.0...

A: Let's find. 

Q: Given the function f(x) = x – 15x², find all x-values where f has an inflection point.

A: Solution is written in below steps.

Q: Question 3 If lim an = 0, then the series a, is convergent. n=1 True False

A: Note: According to our expert guidelines only first individual question is to be answered kindly rep...

Q: 12 + csc 0[sin 0 + csc 0]d0

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Q: Find the solution of y" +10y +25y = 49 e with y(0) 8 and y' (0) = 5.

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Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x) b) Find...

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Q: The sum of one number and three times the second number is 48. What will be the maximum product of t...

A: Given that the the sum of one number and three times the second numberis 48.Our Aim is to find the m...

Q: ALFind the equation of the tangent plane to the surface z = e/7 In(ly) at the point (-3, 1,0). Note:...

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Q: Is the differential equation linear? y' = y + ey

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Q: Question Find (f-)'(a) for f(x) = Vx + 5 when a = 2. (Enter an exact answer.) Provide your answer be...

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Q: 3. (a) Suppose y is a differentiable function of r and is implicitly defined by the equation [(2r+1)...

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Q: 3 Calculate the arc length of y = x? over the interval [1,5].

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Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 – 60t. Det...

A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)&gt;03t2-60t&gt;03t(t-20)&gt;0

Q: Given g(x) = 3x-1 – 2 A) State the parent function f(x) = %3D B) Describe the transformations: Confi...

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Q: Find the arc length parameter along the given curve from the point where t= 0 by evaluating the inte...

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Q: Write the first-order differential equation in standard form. (Use yp for y'.) y' = x7y + sin(x)

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Q: • TT 2. sin? cos' –dx 2

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Q: 1. Evaluate the integral JS aA, where R is the region: {(x,y)|0 < x < 1, –3 < y< 3] x²+1

A: To evaluate the integral: ∫∫Rxy2x2+1dA where R is the region (x,y)|0≤x≤1,-3≤y≤3.

Q: Given the triangle below, find sec(0). Enter an exact answer in fraction form.

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Q: Prove that 3x +8 Viv = dr dy: %3D where R [-1,1] x [0, 2).

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Q: find the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to infini...

A: This question is related to definite integration, we will solve it using given information. 

Q: dy da

A: Implicit differentiation : when you have both terms x and y in an equation differentiating the equat...

Q: 1 Σ 4n² – 8n + 3 n=1

A: The objective is to determine if the series is whether convergent or divergent.

Q: Question 6 P Consider a room in the shape of a 4 m cube, 4 meters on each side. A bug at point P wan...

A: Given problem:-

Q: Explain why the integral is improper. 81 1 xp 1.4- 1.2- y 0.8- 0.6 0.4 0.2 40 60 80 O At least one o...

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Q: (x- 2. A tonk initially contoins 100 galons of brine whose concentration is ½ lb/gal. Brine whose sa...

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Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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Q: Find the least amount of different numbers to pick from positive integers that are at most 100 to gu...

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Q: A rectangle has a length of 6 inches and a width of 4 inches whose sides are changing. The length is...

A: A rectangle has a length of 6 inches and a width of 4 inches whose sides are changing.The length is ...

Q: С. 1 Evaluate the following limits x2 +6x+5 1) lim x-5 x²+2x-15 x(х-5)-24 2) lim x→8 x2-8x (2+x)3-8 ...

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Q: dx Assume that x= x(t) and y y(t). Let y=? •1 and D2 when x 3. dt dy Find when x=3 dt (Simplity your...

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Q: The figure shows the region of integration for the integral. P(x, y, z) dz dy dx Rewrite this integr...

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Q: Find the critical point/s of the function f(x,y) x³+2xy-2x-4y

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Q: +00 2 -1)"+1(3n)! 3n+1

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Q: Explain why the integral is improper. 8. dx (x - 7)3/2 140 120 100 y 80- 60 40 20 O At least one of ...

A: Improper integral: If f(x) is continuous on the interval (a,b] and not continuous at x=a then,      ...

Q: VI. Give the Maclaurin series expansion of f(r) = In(3 – 2r). Determine its interval of convergence....

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Q: This exercise uses the population growth model. A culture starts with 8300 bacteria. After 1 hour th...

A: Since you have posted multiple questions I can do first question as per our company guidelines pleas...

Q: Write the first-order differential equation in standard form. (Use yp for y'.) −xy' = (3x + 2)y + xe...

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