3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A: Range of R = {y: x,y∈R}. Inverse Relation : R-1 ={y,x: x,y∈R}.

Q: (b) ln x as 0 As x0, In x →

A: Topic = Function  

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A: Curve sketching and x-intercept and Asymptote.

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A: Given query is to find the height of the ball when it's fall with the rate of 120 ft/sec.

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Q: created a mathematical question on inequality( quadratic) and answer the question

A: Inequality is an  expressions that compares the algebraic terms. 

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A: We have to find out vector

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A: For the function to be increasing the derivative of the function should be greater than 0

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Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the ...

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Q: 12x (4x³ – 3)° dx (4 - 3)° +c 6(4x – 3)° + C 6 (4x° – 3)° + C (4x° – 3)° +C 4x° (x* – 3x)° + C

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Q: If z = eax+by az then a az is ay

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

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A: NOTE: Refresh your page if you can't see any equations. . for the year 2008, t=1 so for the year 20...

Q: Find the inverse function g (x) = 4x + 8                                                     6 - x,...

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Q: g(b) Use the Substitution Formula, f(g(x)) •g'(x) dx = f(u) du where g(x) = u, to evaluate the follo...

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Q: along the x-axis so that at time t 2 0, the acceleration of the particle is a(t) = 15Vr. ticle is 10...

A: In this question we will use basic concepts of calculus i.e concept of integration. We will use the ...

Q: The population of a city is 140,000. The city declines continuously by 4% per year. If this trend co...

A: Given that the population of a city is 140,000. The city declines 

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Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.

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Q: Solve the following equation on (-0,00) 2 cos? 3x + sin3x = 1 %3D

A:  Solve the following equation on (-infinity, infinity)  2cos2(3x)+ sin(3x)= 1 

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is  here we have P=1 m...

Q: For f(x, y) = 2x3 + x*y? – 5y? +10, Find fr:

A:

Q: 24. Find the limit using the L'Hospital's Rule. a) lim x+0 (e2k-1) Inx b) lim X+0o x

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Q: Problem 2: For the graphs below, write the intervals where the second derivative is a) Positive a) P...

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: 4 x 5 y = a -3 x 4 y %3D - y =

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Q: Prove the identity It tanh(x) tanh (x), 2x

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Q: 6. Which of the following is logically equivalent to [(p V q)^(p V¬q) ^(p Vr)]→[(p V q)^(¬p Vq) ^(q ...

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Q: Sketch the graph of the following functions a) X/x+2 b) 1/(x−3)2

A: We can find the graphs as below

Q: Vrite a chain rule formula for the following derivative. for z = f(r, s); r = g(t), s = h(t) O dz dr...

A: We have to find out derivative

Q: 2 In x+1 3. S dx x In?x+x In x

A: The given integral is; (2lnx +1)/(xln2x+xlnx). Repost the next question.

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Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative. 

Q: I want answer for C onl

A: Given, z5=1

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A: NOTE: Refresh your page if you can't see any equations. . x=number of rooms y=price per room from th...

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug...

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Q: 8. find c in the int erval[-2,1] for f(x)=x' +x+3 use f'(c) = (b)-f(a) b-a 8.

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Q: 14. Eväluate the following imits. 3x2+2x+1 lim x3+3x+2 c)

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

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Q: The form of the partial fraction decomposition of a rational function is given below. 16 – (x² + 10x...

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Q: ,3 e s-axis is s = -t° + 12t- 45t m. elocity is zero. |

A:

Q: The population of a city is 140,000. It declines continuously by 3% per year. Assuming this trend co...

A: We can find the final population as below.

Q: Write out the first four terms of the Maclaurin series of f if f(0) = 2, f'(0) = 4, f"(0) = 4, f"(0)...

A: