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Calculus

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Q: find g'(x) if g(x)=log10x

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Q: Find the volume of the solid generated when the region enclosed by y=sqrt(x+4), y=2x and y=0 is revo...

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Q: Use this result to write an equation of the line with the given characteristics in general form. x-i...

A: Given

Q:

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Q: 6.5/6.6. 4

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Q: dy let y = (In z)" ln then da is Select one: a. (In r)* u (1 + In(In r)(1+ In r)| b. (In r)* n (1 + ...

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Q: evaluate using Integration by Parts.

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Q: evaluate the integral using the methods covered in the text so far.

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Q: True or false?

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Q: The general solution of the differential equation 2x(y + 1) dx — у dy is:

A: Given the differential equation: Now,

Q: y? directly above A surface S lies on the paraboloid z = the triangle in the xy-plane with vertices ...

A: Find the equation for the line on x-y plane.

Q: Determine if this sequence converges or diverges

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Q: Evaluate |(-5x° + 5r + x – 5+e")dx. Do not include +C in your answer.

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Q: A plate in the shape of an equilateral friangle expănds with time. The length of a side increases at...

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Q: I am having trouble finding out how to complete this question.

A: The given function is a piecewise function. Mention the points on the graph.

Q: Solve the linear homogeneous differential equation of superior order with constant coefficients:

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Q: See attachment

A: We can find f'(x) Using following formula

Q: Find f'(x) if f(x)= logb (10)

A: Given function is which is constant function. We know that , derivative of constant function is 0. ...

Q: If x f(x)+x g(X)= sin x, for nonzero x, then f''(X) + g''(x) is %3D

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Q: Find the x- and y-intercepts of the equation y = (x – 3)2 + 2. Sketch the graph of the equation, not...

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Q: Determine r (x) if r(x) = (arccot(x))".

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Q: Evaluate:a. √81 b. -√9 c. √1/25 d. √36 + 64 e. √36 + √64.

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Q: A function f(x), a point x,, the limit of f(x) as x approaches x,, and a positive number e is given....

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

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Q: In Exercises 71 and 72, define f(0, 0) in a way that extends f to be continuous at the origin. (3x² ...

A: To Determine: Define f(0,0) in a way that extends f to be continuous at the origin. 71. ...

Q: 4. Find the points of local maxima and minima for the function f(x) = x* – 18x2 – 9

A: To Determine: Find the points of local maxima and minima for the function ...

Q: 8) A right circular cylinder must have a volume of 100 m3. Find the dimensions that should be used t...

A: Let, radius= r height = h

Q: particle moves along the curver(t)=(t2−1)i+(2t3+3)j+(3t−4)k.Find the speed of the particle at t=1.

A: Position vector of the particle is Velocity vector of the particle at any time t is At t=1, veloci...

Q: Suppose f(x)=6x−9 and g(y)=(y/6)+(9/6)(a) Find the composition g(f(x))=(b) Find the composition f(g(...

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Q: How many real roots does the function f(x) = x 9 - 20x + 1 have? Find their approximate locations.

A: The best way to locate the number and nature of real roots will be to plot the equation.

Q: Simplify exponential expression.Assume that variables represent nonzero real numbers. (xy-2)-2/(x-2...

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Q: Investigate lim graphically and numerically. x→9 /x – 3

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Q: dy is let y = ln(V – 9 + a). -9+x then dx S'

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Q: Solve the homogeneous differential equation of superior order with constant coefficients:

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Q: Which one is the right answer? Please provide solutions.

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Q: Solve the linear homogeneous differential equation of superior order with constant coefficients

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Q: Write number in scientific notation. 64,000

A: A number in its scientific Notation is written as some integer(less than 10) multiplied by 10 to the...

Q: A windows has the shape of a rectangle and surmounted by a semicircle (Figure 5a). The perimeter of ...

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Q: Which one is the right answer? Please provide solutions.

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Q: Find the intervals of convexity/concavity of the functionf(x)=x3 / 1+x2.

A: We first find the f'(x) using the quotient rule

Q: The sum of two positive number is 10. Find these numbers if the sum of their squares is a minimum.

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Q: As part of his summer job at a restaurant, Jim learned to cook up a big pot of soup late at night, j...

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Q: Suppose that y varies inversely as the square of x, and that y = 8 when x = 6. Find y when x = 2.

A: Suppose y varies inversely as the square of x, where k is constant of proportionality.

Q: l=cscr, then / Seec oe A-1 ANdelred 01 Nore af these

A:

Q: If f is continuous on[-1,2], and f(0) is an absolute maximum, then f(0) is a relative maximum Select...

A: Consider the function f which is continuous on the interval [ -1, 2] and f (0) is an absolute maximu...

Q: Consider the following differential equation Y = ry /1+x* What is the general solution ?

A: Given differential equation

Q: csc (2b) Find da/db if a = sec (2b)

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Q: b. Evaluate the following limits: 7x cos)-7x lim- [sin(-2x)sin(5x)sin(7x)] lim 5x2 2x cos(x) X-0

A: We write the given limit in the following format

Q: I need help with parts a and d

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Q: Suppose that the minute hand of a clock is 15 mm long and the hour hand is12 mm. How fast is the dis...

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Transcribed Image Text

Consider the function y = x(In x)². At which point the tangent line to the graph of this function is horizontal? Select one: a. æ = 1, e-2 O b.r = e, e² C. x = -1, ln 2 d. æ = e, ln 2