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Q: y'=y2ln(x)-y/x ; y(1)=1 Solve the initial value problem.

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Q: 5.4 Problem #25 A tank is full of water. Find the work required to pump the water out of the spout. ...

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Q: Using the limit definition of derivative, compute the derivative of the following function. No credi...

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Q: Without using a calculator, evaluate the following expression shown or state that the quantity is un...

A: We know that    

Q: 5.4 Problem # 27

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Q: If exist, find the local maximum, minimum and inflection points of the functions f(x)= 2x3-69x²+672x...

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Q: Compute the average value at the function H(x)=D (6x²+ x + 28) e on the interal [-4,6]

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Q: When a guitar string is plucked, it vibrates with a frequency of F = 200√T, where F is measured in v...

A: Rate of change is the derivative of the given function at the given point. So differentiating given ...

Q: Find the solution set of

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Q: Use integration by parts to evaluate the integral.

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Q: use th eproduct rule or the quotient rule to find the derivative of f(x)=(x^2+x-8)/x^2-8

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Q: Evaluate the integral

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Q: Determine whether the following series converge. Justify your answers.

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Q: Ir th line x=4+2t, ーも paralled to the plone 3x +ry +2=7-

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Q: Fill in the blank/s: To solve an oblique triangle given three sides (SSS), the first step is to find...

A: Answers of the given blanks are

Q: State the property of realnumbers being used: (x+a) (x+b)=(x+a)x+(x+a)b

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Q: Evaluate each expression without using a calculator (a) sec[arctan(−3/5)]        (b) tan[arcsin(−5/6...

A: We draw a triangle with opposite=-3 and adjacent = 5 , then we find the hypotenuse  

Q: Evaluate the integral. 7 In x xp.

A: The given integral is Apply substitution method, let    

Q: 5) The differential equation y′′=0 has one of the following two parameter families as its general so...

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Q: Linear functions and their graphs Determine the function represented by (a) line A  (b) line B

A: a) We find the slope of line A first. It connects (0,6) and (7,3) Given, y-intercept=6     

Q: Differentiate xex

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 0.5x2 + 15x + 5000...

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Q: Hey, I need help solving this problem with the application of integrals using the disk method.Your h...

A: According to Disk method: The volume of solid generated by revolving around y-axis from y=a to y=b i...

Q: given a cube whose edge is a cm find  1- the angle between the digonal of the cube and the digonal o...

A: Consider this picture for ease of understanding.

Q: 5.4 Problem #5

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Q: sketch the graph of a function y = ƒ(x) that satisfies the given conditions. No formulas are require...

A: from left to right:

Q: Find the area of the region bounded by the graphs of the given equations. y =x +3, y=x, x = - 1, x= ...

A: Given equations are

Q: How do you know whether a matrix has infinitely many solutions or one solution?

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Q: Let f(y) be a continuous function. Suppose that f(−10) > 0 and f(10) < 0. Show that there is a...

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Q: find antiderivative For of the function an ix)-5sinx such that FCO)=1.

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Q: Answer g

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Q: Before the crash on October 28,1929, a particular electrical equipment company was trading at $ 297 ...

A: Limit of a function exist at x=a if, Limx->a+ f(x) = Limx->a- f(x) 

Q: Compute the averoge value of the funetion f=(7x²+3xt 15)e^ on the interval (-3,7] (6)

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

Q: Find dy/dx if  y=(x+1)x

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Q: Find a cofunction with the same value as the given expression cos 2π/5

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Q: The position vector r describes the path of an object moving in space. (a) Find the velocity vector,...

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Q: Find the average value over the given interval. y3D4 e-X; [0,3] The average value is (Type an exact ...

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Q: determine whether the eman value theorem can eb applies to f on the closed interval [a,b] (select al...

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Q: Solve the inequality  x2+5x-6>0

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Q: The velocity in m>s of an object moving alonga line over the time interval [0, 6] is v(t) = t2 + ...

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Q: 5.4 Problem #3

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Q: 2- -9- -4 -2 Given the graph of f(z) above, find the following limits. To enter 00 in your answer fi...

A: To evaluate the given limits, the nature kf the graph is to be observed.  

Q: Find the particular solution of the differential equation √x + √y y′ = 0 that satisfies the initial ...

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.