Ina class of 35 students, 17 have taken mathematics, eight have taken mathematics but not computers. Find the number of students who have taken both mathematics and computers. * O 11 O 7 O 9 13

Q: Evaluate I = Se(sin z + 4y) dz + (5x + y) dy for the nonclosed path ABCD in the figure. %3! A =…

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Q: Use the Substitution Method to evaluate the following indefinite integral. (Don't forget your…

A: Consider  ∫x(x2+1)9dx

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Q: The area of a soccer field is represented by a? 12a + 32 square metres. - Find a simplified…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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

A: Given equations which bound the region are: x = 8y ; y = 4 ; y = 5 and x =0 The volume of revolution…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Question For the functionf(x) given below, evaluate lim f(xr) and lim f(x). X00 X--00 V3x + 1 -3x -…

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Q: Find the absolute maximum and minimum values of f on the set D. {«, m10 sx s 2,0 s ys3} f(x, y) = x2…

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Q: The interesting relation is x^2+y^2 = 13. I have drawn it and completed part 1. Part 2 is determine.…

A: Topic:- geometry

Q: Evaluateſ dx. Α.x+C В. х С. —х + C D. -x

A: The given integral,         ∫dx

Q: Best Publishing makes and sells dictionaries. They have a monthly fixed cost of $5,976 for rent,…

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Q: Use a Maclaurin series in the table below to obtain the Maclaurin series for the given function,…

A: The objective is to obtain the maclaurin series of the given function.

Q: The hyperbola, 36x - 49, = 1764, has vertices at. (Simplify your answer. Type an exact answer, using…

A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

Q: Find a power series representation for f(x) = x2 1+ x3 ° By differentiating the power series…

A: To solve the following problem  Sncw it is not hiven as in where to find the exact solution at which…

Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: 3x dx | sec 2

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Q: Express the function below using window and step functions and compute its Laplace transfo 0, 0<t<4…

A: The given function is: g(t)=0, 0&lt;t&lt;45,4&lt;t&lt;53,5&lt;t&lt;82,8&lt;t

Q: Solve the system of equations by elimination. Sx+y = -3 1x-y = 19 Ox = 8, y = 11; (8, 11) x = 3, y =…

A: The objective is to solve the system of equation by elimination.

Q: Test the series for convergence or divergence. -1 sin? n n+ 37

A: Given

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

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Q: A campground owner has 600 m of fencing. He wants to enclose a rectangular field bordering a river,…

A: We know area of a rectangle= length*width and perimeter of a rectangle= 2(length+width)

Q: Solve the system of equations by substitution. fx + y = -9 x- y = 13 Ox = 9, y = -11; (9, -11) Ox =…

A: Explanation of the answer is as follows

Q: Consider the following. 150 P(t) 1 + 6.655e-0.68t To the nearest whole number, what is the initial…

A: The given population model,     P(t)=1501+6.655e-0.68t

Q: 4 | (5a' + 4x")dr Find 3

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Q: a5 %3D 532x 4. dnti

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Q: Suppose that P = (x, y) has polar coordinates (r, = ). Find the polar coordinates for the following…

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Q: Let A, B, and C be the following matrices. ] c-[] -8 6 -7 7 3 4 A = B 4 Find the products AC and BC.…

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Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

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Q: 14. In(1+ x?) da

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Q: log,p = 3- log, (p-2) %3D If there is more than one solution, separate the answers with commas.…

A: Given query is to find the value of p.

Q: Oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the…

A: We have to find the rate of change of radius when the area is 1225π sq.mm

Q: Find the graph of the following ellipse. Identify the domain, range, center, vertices, endpoints of…

A: Given:      x225+y216=1

Q: x 10°)(2.98 × 10-3) (2.446 x 10-3)(62.5) Express your answer using the correct number of significant…

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Q: Find all solutions to the equation below in the interval [0,2π)[0,2π). Give all answers as exact…

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Q: Perform the indicated multiplication if possible. (Enter NONE in any unused answer blanks. If the…

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Q: What is the type of conic section represented by the equation x = 6y +6? parabola O hyperbola O…

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Q: Solve the system. 4x + 4y - z = 38 x+ 6y + 2z = 19 4x + y +z = 39 O A. {(9,2,1)} O B. {(-9,1,18)} O…

A: 4x+4y-z=38→(1)x+6y+2z=19Multiply above equation with 44×(x+6y+2z)=19×44x+24y+8z=76→(2)and now given…

Q: Find the verticies and foci, and sketch the graph: x2- 4y2 = 4

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: If f(x) = kx², determine the value of k that makes f(x) a probability density function on 0sxs4. The…

A: Given: f(x) = kx2

Q: 3. -1 1 2 3 4 5 6 7 +1

A: To approximate the area under the curve graphed below from x=2 to x=5 using a Left Endpoint…

Q: Use the Taylor polynomial of degree four for the function f(x) = Vx + 4 at x = 0 1 P4(x) = 2 + 7x- 1…

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Q: Equation is x^2+y^2 = 13, point (2,-3). Find the equation of the tangent OR normal at that point.

A: Given query is to find the equation of the tangent.

Q: Consider the function f(x)=7/x^3−6/x^6 Let F(x) be the antiderivative of f(x) with F(1)=0. Then F(4)…

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Q: Evaluate the line integral L(a - )da + (1 + y° + æ")dy, where Cis the circle of radius 2 centered at…

A: We have to evaluate the integral.

Q: log, 3450- log, 6- log, 23

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Q: If a building contractor hires 5 day laborers and 2 concrete finishers, his payroll for the day is…

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Q: 3. tane de ) 71+ n cose)/3

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Q: Find a plane through the points (-4,8,-8), (1,-5,-1), (-5,-1,5)

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Q: Solve for ∂w/∂y and ∂w/∂x w=(x-y)/(x+y)

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