Tell whether the below piecewise function is  Undefined Continuous but not Differentiable Differentiable but not Continuous Neither Continuous nor Differentiable Both Continuous and Differentiable

Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. |x,…

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Q: Find the volume of the region under the surface z=xy^2 and above the area bounded by x=y^2 and x+y=2

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Q: 2 Assume that f'(2) = -9, g'(3) = g(3)=2, and y=f(g(x)). What is y' at x = 3?

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Q: Sketch the graph of the quadratic function. f(x) = x² — 20x – 800 - -

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Q: Evaluate ff xdxdy where R is the region bounded by x=2, y = 0 and y = x

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Q: Sketch the graph of the function shown below. From the graph, find its domain and range. |xif -3<x<0…

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Q: Consider the following position function. a. Find the velocity and speed of the object. b. Find the…

A: Given,

Q: y = In[sin(x + y)]

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= if x…

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Q: Find the limit of the sequence an = (cos.n) 5"

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Q: (u(t)xv(t)) = 00)

A: Given that the expression

Q: To check for the result, you have to prove that + C] = 8⁹. + sec²0. d 1 10 de Evaluate the left side…

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Q: The graph of a polynomial of degree 5 is shown. State the number of real zeros and the number of…

A: As we can see, the graph crosses the x-axis at x=-2So x=-2 has a multiplicity of 1The graph touches…

Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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Q: Use chain rule to find the derivative of the following functions: a. y = sin(5x) b. y = cos(x²) c. y…

A: We have to find the derivative of the following functions by using the chain rule.Chain Rule: In…

Q: A company has found that the cost, in dollars per pound, of the coffee it roasts is related to…

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Q: Suppose that we're making and selling some widget and the profit (in dollars) when making a widgets…

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Q: A water tank has the shape of an inverted cone with height 9 m and top radius 8 m. If V and h…

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Q: Find a simplified series representation of x²e4 answer = n

A: The given function is x2e4x.

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: What is the domain of the function shown in the graph below? -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 10 9 8 7…

A: To find the domain of the function shown in the graph below.

Q: Find all points (x,y) on the graph of f(x) = 2x²-3x with tangent lines parallel to the line y = 5x…

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Q: You have to examine the relationship between the age and price for used cars sold in the last year…

A: From the above table we…

Q: Use a calculator to approximate the length of the following curve. Simplify the arc length integral…

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Q: Find all intervals on which the function f(x) = (x² − 3) e-ª is decreasing.

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Q: A 100 m long rope hangs from the top of a mine shaft, and is attached to a crate full of coal. The…

A: The objective of this question is to calculate the total amount of work done to lift the rope and…

Q: Let f(x) be a continuous function for which we know f(2)=3, f(4) = 5, f'(2) = 7, and f'(4) = 19.…

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Q: Click on the graph to view a larger graph Find the indicated side A || of the triangle ABC given in…

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Q: 1 The equation z = 1 3 3 x² + y² is given in Cartesian coordinates. Convert the equation to…

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Q: Find the limit as a number, ∞o, or -∞o. Otherwise enter DNE. lim [√(√An+1 = √an)] = [ 4n n→ ∞o

A: Limn-infinity [sqrt(n) (sqrt(4n+1)-sqrt(4n))]

Q: 7. The sum of measures of the angles of a triangle is 180 degree. The smallest angle of the triangle…

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Q: Find all exact solutions on the interval 0 <0 < 27. If there is more than one answer, enter them as…

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Q: Let A(x) = √² ƒ 4 3 T -2 el -4 -5 * f(t) dt, with f(z) shown in the graph below. 3 At what a…

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Q: The point(s) is/are (Type an ordered pair. Use a comma to separate answers as neeeded.)

A: Given that the graph with tangent line parallel to y=3x+1 we have to find the point is/are?

Q: Evaluate the integral: Ox= Ox= Ox= (A) Which trig substitution is correct for this integral? 0x= 0x=…

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Q: 8. Find the linearization L(x) of f(x)=√√x² +9 at x = -4.

A: Given that the function

Q: a. What is lim g(x)? Choose the correct answer below and, if necessary, fill in the answer box to…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: nn n=0 4"n! η!

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Q: Find the degree 3 Taylor polynomial T3 (x) of the function f(x) = (7x - 1) 4/3 at a = 4. T3(x) =

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Q: Functions f and g are given as follows. X 5 X+2 x + 2 Find each of the following functions and state…

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Q: Find the centre of mass of the region between y = x x² and y = x³ from x = 0 to X = 1.

A: The objective of this question is to find the centre of mass of the region between the curves y =…

Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above and…

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Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

Q: 800 The demand function for a widget is given by p= 90+ where p is the price of the widget in…

A: The given demand function is,

Q: 5. Find the gradient of the line tangent to the following functions at the given points. a. f(x) =…

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Q: 9. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval 0, π], are…

A: Given that the function are

Q: Find the difference quotient of f; that is, find f(x) = 3x² - 4x + 4 f(x+h)-f(x) h h#0, for the…

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Q: Express the function as a power series by first using partial fractions. f(x)= 2x+5 x2+5x+4

A: Given: f(x)=2x+5x2+5x+4let's first factor the denominator and then use partial fractions.The…

Q: Find the position and velocity of an object moving along a straight line with the given…

A: The integration of acceleration function gives velocity

Q: Use the figure below, which shows the graph of y = f(x), to answer the following questions. Which of…

A: Area above the x-axis is considered as positive and area below the x-axis is considered as negative.