A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwise, write no. Explain your answer. 1. Linear Functions 2. Quadratic Functions 3. Polynomial Functions 4. Rational Functions 5. Radical Functions 6. Exponential Functions 7. Logarithmic Functions 8. Absolute Value Functions 9. (Basic) Sine function 10. (Basic) Tangent function

Q: cos 4x cos 2.xdx 3.

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A: This is a problem related to limit of the function based on the general formula and concept we will ...

Q: dx X +T 2. 3.

A: ∫x32x3+π = -3(lnx+3π6x+π3-lnx-3π6x+π3)-2(arctan2π56x+3 ππ+arctan2π56x-3 ππ)-4arctan(xπ6)6π6

Q: cos(0-4)–1 lim - (а) 20 -8 (10х-2)* lim (b) X0.2 10х -2

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Q: Draw a dependency diagram, and write a chain rule formula for and where u g(m) and m fip.q). Choose ...

A: u = g(m)  and  m=f(p, q)main function is of one variable mandm is of two variables.Hence,∂u∂p=dudm ∂...

Q: (b) Sketch the vector with its initial point at the origin. sider the following graph. (4, 4) (4, 4)...

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Q: 3. S (xº – + 2ex) dx

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Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

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Q: The power series representation of f (x) = will be given by 3+x O A. S A. (-1)"(2+x)" - 3<x<5. 4" +1...

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Q: Sx³e**dx

A: Given,           ∫x3ex2dx

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A: The given series is: ∑n=0∞12(-1)n3n(2n+1) which is an alternating series with an=12(-1)n3n(2n+1); n≥...

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A: The cartesian to spherical conversion is given by: x=r cos ϕy=rsin ϕ cos θz=r sin ϕ sin θ Now, in th...

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Q: Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate pla...

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Q: Find the absolute maximum and minimum values of each function over the indicated interval, and indic...

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

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Q: Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your...

A: This is a problem if numerical method. Based on the formula of Newton's method we will solve for roo...

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the produ...

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –...

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Q: Change the number to a percent. 9 10 % 10 (Туре an integer or a decimal.)

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Q: Consider the function f(x)=1/x+4. Complete the table of values below. x f(x)=1/x+4 -1000...

A: The given function,       fx=1x+4

Q: Problem 3: The points (-1,3) and (0,2) are on a curve, and at any point (x,y) on the curve = 2 - 4x....

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Q: A closed rectangular box has volume 20 cm³. What are the lengths of the edges giving the minimum sur...

A: Solution is given below:

Q: Direction of opening: Zeros: y-intercept: Vertex: Axis of Symmetry: Max or Min Value:

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Q: (-x- 3 if x 2 A) -1 B) does not exist. C) 6 D) 00

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: Find the derivative of the function at Po in the direction of A f(x.y) = 2xy + y², Po(-6, - 4), A= -...

A: The given function is : f(x,y)=2xy+y2, P0(-6,-4),A=-2i-2j. 

Q: If f'is continuous, f(1) = 0, and f '(1) = 7, evaluate %3D lim (1 + 5x) + f(1 + 6x)_

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Q: Find a) any critical values and b) any relative extrema. g(x) = x - 27x+ 56 a) Select the correct ch...

A: for (a) - critical values is +3 and -3  for (b) - the relative maximum point is x = -3 and relative ...

Q: write the equation for the function graphed below. Use smallest degrees possible. 9. 7. 4 10-9 -8 -7...

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Q: Use the definitions of the hyperbolic functions to find each of the following limits. (If the limit ...

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Q: A. Determine whether the graphs of the follow yes if it is. Otherwise, write no. Explain your 1. Lin...

A: 1) Linear function:- Yes; a linear function (f(x)=ax+b, where a,b are real and a≠0) is a polynomial ...

Q: Use the alternative form of the dot product to find u · v. ||u|| = 50, ||v|| = 35, and the angle bet...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: Given vector u (4, –1) and v = (-1, –5) , determine the value of v + 2u in component form.

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Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges...

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Q: Log(x^2 +3) = log(x+6)

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Q: 4. (3x – y)2 = 6x + 2y + 23 @ (1,-2) 5. x(x² – y²) = 3 @ (-1,2)

A: 4) (3x-y)2=6x+2y+23, @(1,-2) 5)x(x2-y2)=3, @(-1,2).

Q: Find the antiderivative for each function when C equals 0. X a. f(x) = e 8x b. g(x) = e -12x 9. c. h...

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it occ...

A: Given problem:- Find any relative extrema of the function. List each extremum along with the x value...

Q: Evaluate the lino integral y+ + (4+2-x>y +2が Where C consitts of line segments from 0,-,2) to (2,-1,...

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Q: f(x) = 3x - 5x² 1. c = 2

A: Given: fx=3x-5x2  ; c=2   The function will be continuous at x=c when, limx→c-fx=limx→c+fx=finite va...

Q: Justify means to provide explanation and mathematical reasoning for your choice. Justify if the foll...

A: Given,            Check whether the following equations are linear, quadratic or neither.We know tha...

Q: (c) Use regression in Desmos to check your answer to Part (b) by entering the table and typing expre...

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Q: Find the direction angles of the vector. (Round your answers to one decimal place.) u = (4, -6, -8) ...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: We can find the critical numbers as below.

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 5xy + 2y. Po(-7,1), A= 2...

A: Given query is to find indicated derivative.