The volume of a solid bounded by surfaces: z = 0,y=0,z=a² – x² ,y=2x,x +y=a |

Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: ( E)i+(G + log(vF –1 – 1) + (5ť² +1 – log t)k |3 – V7 – t2| t2 – t – 1 T(t) =

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Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

A: We need to find the differential equation of the family of curves described below: All tangent lines...

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A: Given query is to find the marginal profit on production level of 200.

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Q: 9. 1+x

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Q: 3. Determine g'(1) for g(x) = (8x² – 3x)³. -

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: Assessment1: The function is discontinuous at the number. Does the discontinuity appear to be remova...

A: The given function,   f(x)=x+33-x

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A: To sketch the function with the given details.

Q: Consider the following sequence: {an} = {n – n² },=I Use an+1 an to show that the given sequence {an...

A: We have to find if the sequence is strictly increasing or decreasing.

Q: Use the difference an+1 - an to show that the sequence {n – 11"} +00 | is strictly increasing or str...

A: see below the answer and calculation

Q: Find the general solution of y"- 10y'+ 25y - 0 Oy= Ce- + C2ze* Oy - Ce + Cwela Oy- Ce a + C,ze be Oy...

A: Given,y'' -10 y' + 25y = 0     .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...

Q: 5x dx 4. To evaluate the integral J which of the following formulas can be used? V9+x10 du In(u + vu...

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Q: dz Find in the function ryz + a’yz = cos (xyz) CoS az

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Q: Find the Maclaurin series for the function f(x) = ln(3 + 4x)

A: Maclaurin series of function fx is a Taylor series of function fx at: a=0       fx=f0+f'01!x+f''02!x...

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x – 3x? + 4x – 12 2...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Use any method to determine whether the series converge. (a) 11k k=1 8.

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

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: Put f(t) = 200

Q: 27 sin(x)cos²(x)dx - To evaluate the integral , which of the following formulas can be used? V7+2 co...

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Q: Which of the following expressions does not equal 1? sec²x - tan²x csc²x - cot²x sin²x - cos²x

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Q: 1. If x-y? = 25, then y" = %3D a.) b.) c.) - d.) - 2. If y = cos(3x+1), find y' a.) 3 sin(3x+1) b.) ...

A: Given:   (1) x2 - y2 = 25    (2) y = cos(3x+1)

Q: Evaluate the following limits: (a) limx→0 4x/sin 5x (b) limx→π sin( π/2)/5x (c) limx→0 sin3^3x/x^2ta...

A: a) limx→04xsin(5x)=45 b) limx→πsinπ25x =sinπ2limx→π15x                    = 015π limx→πsinπ25x = 0 c...

Q: Find the average of the function g (x) = 2 cos 2x on the interval [0, r] -T

A: The function f(x)=2 cos 2x on the interval 0,π

Q: Given the function: f(x, y) = y°e -5x a. Find fyy(x, y) b. Find fyyæz (0, 1)

A: a)f(x,y)=y3e-5xPartial differetiate w.r.t yfy(x,y)=3y2e-5xPartial differetiate w.r.t yfyy(x,y)=6ye-5...

Q: A straight metal beam leans against a building so that the angle between the ground and the metal be...

A: Given query is to find the length of the beam.

Q: Given that lim f(x) = 2, lim g(x) = – 4, lim h(x) = 7 find the limits. Enter the exact answers. (a) ...

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others parts as...

Q: What is a limit and how can it be found using tables and graphs?

A: It is required to give the definition of a limit and how can it be found using tables and graphs.  

Q: Find the derivative of the function. {z) = e?/(z - 5) f'(z) = Need Help? Read It

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Q: . Find all the second-order partial derivatives of the function z = f(x, y) = e2xe"

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Q: Use the Intermediate Value Theorem to show that f(x) = x^2 − 3x + 1 has at least one real zero betwe...

A: Given:- Use the Intermediate Value Theorem to show that f(x) = x2 − 3x + 1 has at least one real zer...

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

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Q: (a) y = x2 – 2 and y = 2 -

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³–2x)* 1. у- ; d'y/dx? 2. Y = (5x³ + 2)6 ;...

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Q: Jcot x+1 O tan x sec x O csc X

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Q: Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a s...

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Q: Find dy/dx of sin(x + y) = xy^2 − 2x^3

A: Differentiating using chain rule of differentiation

Q: Given the vertex points of the given system: (10, 0), (0, 0), and (0, 15): test these vertex points ...

A: Given: - The vertex points of the given system: (10,0), (0,0), and (0,15).Test these vertex points i...

Q: sing sece cote O tane 01 II

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Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

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Q: 5 14. We know the runner ran more than 0 meters in those 90 seconds. To find the distance 90 di trav...

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Q: The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the functio...

Q: Evaluate the following integral sec(VT) tan(V7) dx

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Q: Write sin (tan-u) as an algebraic expression in terms of u.

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Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y ?.

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Q: Find the Taylor's series for the function x4+x-2 centered at a=1

A: We use the Taylor series of f(x)=summation of fk(a)(x-a)k/factorial k from k=0 to k= infinity. where...