5 cos 3x2-5 lim x+0 2 sin 8.x

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A: We have to find value of f(x)

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Q: The manager of a company that produces graphing calculators determines that the price of each calcul...

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Q: Consider the following. u = (-7, –8, 4), v = (-9, 6, 5) (a) Find the projection of u onto v. (b) Fin...

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Q: Write 1.24123 = 1.24123123123123123123... as a ratio of integers using geometric series.

A: Find your answer below 

Q: IV. Use the given graph of f to state the value of each quantity, if it exists. If it does not, expl...

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Q: 2. Consider the following code fragment: How many times will the variables i be assigned a value whe...

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Q: x = Asin(wt+B); w a parameter, not to be eliminated %3D

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of integ...

A: Indefinite Integration

Q: Let f(x) = (x - 3)-2. Find all values of c in (1, 7) such that f(7) - f(1) = f'(c)(7 - 1). (Enter yo...

A: Mean Value Theorem : Suppose f(x) is a function that satisfy the following properties :1. f(x) is co...

Q: +/t%edt 1. 2. Se-x/2dx 3. 3*e*dx

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Q: 9. Differentiate y = (x² – 4)2/(x²) + (1/2)[Arcsec(x/2)].

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Q: 1> =a,-4,57is to U=2,-4,5 812.Detemmine -> onthogonal

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Q: ƏM 3. In the differential equation (y -x -4x–1dy+2y(x+ y+ 2)dx =0, 4. In the differential equation (...

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Q: Find the area of region T. Then once you have found the area of T, find the area of P whose function...

A: The objective of the question is evaluate the areas of the given region.

Q: Find the area of the triangle with vertices P(1,2, –3), Q(0,0,0) and R(3,5, 1). NOTE: Enter the exac...

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Q: ∫(x2dx) / (√1+ x)

A: We know, ∫xndx =xn+1n+1+C, C is a constant.

Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to ...

A: maxima minima question, if it is helpful, like and thumbs up.

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Q: 5-10 Find the Maclaurin series for f(x) using the definition of Maclaurin series. (Assume that f has...

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Q: Problem 2 Solve the differential equation y" + y = cot x using Method of Variation of Parameters

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Q: integrate the following ∫(y-2 + 1/2y - 1)2 dy

A: We will us the formula a+b2=a2+b2+2ab for expansion

Q: 3 V3+2 cos 3x 9. dx V1+cot23x

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: 24. y = x, y = 2x/(1 + x'); about x = -1 26. x? - y? = 7, x= 4; about y = 5

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

A:     ∑n=1∞1(n+1)!-n!=∑n=1∞1(n+1)n!-n!=∑n=1∞1n(n!)≤∑n=1∞12n And the above series converges.

Q: Consider the following. u = (5, 7), v = (6, 2) (a) Find the projection of u onto v. (b) Find the vec...

A: Given, u=<5,7> v=<6,2> projvu= (u.v/|v|²).v u.v= 5*6 + 7*2= 30+14= 44 |v|= √(6²+2²)= √(3...

Q: Given the piecewise function defined below, determine the value of f (x)dx in simplest form. -6x² + ...

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Q: 1. 3y4 + 2xy = 4

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Q: 5tan 2x -dx- sin22x-1 8.

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Q: etermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that...

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Q: 12 A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y What...

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Q: a) x-intercepts

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Q: Find dy/dx by implicit differentiation. 8x3 + x?y - xy3 = 2 dy/dx =

A: Solution: 8x3+x2y-xy3=2

Q: per week) oOf revenue. decroasing at a rate $6 per week. Find the associated revenue function R(p) a...

A: Given query is to find revenue function and rate of change of revenue.

Q: 1 L (s- 4)6 J

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Q: Find the gradient of the function at the given point. g(x, y) = 14xeV/x, (13, 0) Vg(13, 0) = еВook

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Q: Let R be the region bounded by the functions f(x) = -x² – 2x and g(x) = x as shown in the diagram be...

A: Solution :Area =∫-30fx-gxdx

Q: 1. 1. Let f(x, y, z) = %3D Vx2+y2+z² a. Solve for fx, fy and fz. b. Find frx + fyy + fzz-

A: Here, the given function is: f(x,y,z)=1x2+y2+z2

Q: V3x2+4 d. lim X-00 x2-7x+12

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Q: The plane that contains the point (3, –1, –4) and the line with equation = y – 1 = 3z is orthogonal ...

A: Let:x-02=y-11=z-013=kL: x=2k, y=k+1,  z=k3P1:(3, -1, -4)Put k=0, k=1P2: (0, 1, 0)P3: (2, 2, 13)Vecto...

Q: A point is moving on the graph of xy = 20. When the point is at (4,5), its x-coordinate is increasin...

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Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

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Q: Let R be the region bounded by the functions f(x) = 2x2-4 and g(x) = 4x as shown in the diagram belo...

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Q: Solve each problem A segment on the coordinate plane has one endpoint located at (7, –7) and its mid...

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Q: The graph of f(x), shown here, consists of two straight line segments and two quarter circles. 22 Fi...

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Q: Describe the transformations that must be applied to the graph of y = cosx to obtain the graph of y ...

A: Given query is to find the transformation applied.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, -2, ...

A: FIND THE AREA