In how many ways can you place 9 different books on a shelf if there is space enough for only 5 books?

Q: E. The population is 900 in the beginning, 1050 the next year, 1200 the next year.

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Q: A nonhomogeneous differential equation, a complementary solution yc, and a particular solution y, ar...

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Q: Let y be defined implicitly by the equation 2x° + 5y- 4x – 7y = -2. dy at the point (1,0). dx Use im...

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Q: | +2V dv -5v-3V 2.

A: Solution is given below:

Q: Find all the real-number roots of the equation. Give an exact expression for the root and also a cal...

A: solution:-ex-e-x-1=0ex-1ex-1=0ex2-ex-1=0using quadratic formulaax2+bx+c=0x=-b±b2-4ac2aex=--1±-12-41-...

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Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

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Q: a. For the following functions and values of a, find f'(a). b. Determine an equation of the line tan...

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Q: Suppose that a model rocket blasts off, straight up, at time t = 0, with a vertical displacement giv...

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Q: 1. f(x) = x² and g(x) = –x² + 12x – 18 have a common tangent at point P. Determine the equation of t...

A: for same tangent line  slope of equation is same f'(x) = 2x g'(x) = -2x +12 both are same so f'(x) =...

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A: When the degree of numerator is greater than degree of denominator then there is no horizontal asymp...

Q: Write the expression as a single logarithm with a coefficient of 1. (a) In(13) – 2 In(4) + In(32) (b...

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Q: True/False: y = 4+ ln x solves the differential equation xy = 1. True False

A: Given:           xy' = 1 

Q: x cos x + sin x Find x sin x *xp-

A: Evaluate the following.    ∫xcos(x)+sin(x)xsin(x) dx

Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: Here we have to solve the integral by using trigonometric substitution.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: (b) Which of the following could be graphs of the function? Choose all that apply. O population year...

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Q: 8x²y" + 10xy' – (1+x)y = 0

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Q: Express the sum using summation notation. Use the lower limit of summation given and k for the index...

A: We have to calculate summation

Q: Suppose that an is a convergent series, with positive terms (i.e., an >0 for all n). n=1 (a) Does th...

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Q: (a) | (2x cos y + sin x) dx 6. */2 (b) I| (2xcosy+ sin x) dx dy

A: Solving integral 

Q: ometric series and find its sum. nd 24. 2+2(0.1) + 2(0.1)² + …· + 2(0.1)25 ....

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Q: Show directly that the given functions are linearly dependent on the real line. That is, find a nont...

A: Given: f(x)=17. g(x)=6sin 2x h(x)=3cos²x

Q: dx Evaluate: J sin x A. 3tan'x ++C C. tan'x +C tanx tan x + C tan 2x D. в. 3tan'x tanx 2tan2x

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Q: Solve 2log (x+ 1) =log (x) + log (x+3). Don't forget to check for extraneous solutions.

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the x-...

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Q: Find the maximum and minimum values of the function f(x) = In(x) on the interval [1,6] by comparing ...

A: The given function is: f(x)=ln xx

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

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Q: 1. The relation that is not a function is a. y= b. y= c. y= v(x – 5) d. x? + y? = 25 2. Given g(x) =...

A: According to our company's guidelines I can only answer first three subparts of the question since y...

Q: A statement S, about the positive integers is given below. Write statements S,, S2, and S3, and veri...

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Q: 2. Suppose g(2) = 8 and g(5) = 512. (a) Write an equation for g(x) assuming it is linear. (b) Write ...

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Q: Find a value a > 0 so that the graph of the exponential function f(x) = a" contains the point (3, 1/...

A: The point lies on the curve, so the point satisfies the given function.  

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = square root...

A: This is a problem related to find area of the curve using integration. Please use below method to so...

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x - In 7x, ...

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Q: Determine the positive real root of In(x) 0.7 using three iterations of the Newton-Raphson method, w...

A: Using Newton rapshan method

Q: 1

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Q: 2. xps

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Q: Find an algebraic expression equal to sec(cot" (3x)). (You may assume that - < cot (3x) < .) Provide...

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Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence....

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Q: Find the equation of the normal line to the graph of ey tan(xy) − ln(x2 − 4y) = sin2(πx) at the po...

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Q: A statement S, about the positive integers is given. Write statements Sk and Sk+ 1, simplifying stat...

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Q: S sin? x dx

A: ∫sin2xdxUse the identitysin2x=1-cos(2x)2∫sin2xdx=∫1-cos(2x)2dx                 =12(∫1dx-∫cos(2x)dx)

Q: Find a 2×2 matrix A such that [0                    [-3 1]       and        -2] are eigenvectors ...

A: On solving this we will get-:

Q: Determine the function of the following graph. 2 -6n/5-4n/5-2/5 25 4n/5 6n/5 8n/5 2n 12n/514n/516n/5...

A: Here we have to determine the function of the given graph.

Q: Suppose that y is inversely proportional to the square of x, and that y=64 when x=5. What is y when ...

A: Since  y is inversely proportional to the square of xy ∝1x2y =k 1x2where k is constant

Q: Assume that the domain of f and f -1 is (-∞, ∞). Solve the equation for x using the given informatio...

A: We need to solve equation for x.

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 67...

A: we have to find the elasticity.

Q: The total cost of producing x items is given by C(x) = 246.74 + | 3t dt- Find the fixed cost and the...

A: The given problem is solved below in detail.

Q: Given f(x,y) = 3x sin(3xy). Find fxy(3,2). Give you answer correct to %3D two decimal places. Answer...

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Q: Que of the component of the vector AP that is orthogonal to the vector AB. Math Grap P Qu Mat Vi Use...

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