Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

Q: Use sigma notation to write the Maclaurin series for the function. 7sin x 7( - 1)2* Σ =0 (24)! Σ 2+1...

A: NOTE: Refresh your page if you can't see any equations. . as we know, the power series of the sine f...

Q: Find the number(s) b such that the average value of f(x) = 6x² – 50x + 82 on the interval [0, 6] is ...

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Q: Use a graphing calculator to find the intervals on which the function is increasing or decreasing 10...

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Q: From 2000 to 2007, the mean household income in the United States rose by an average of approximatel...

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Q: ind vector V such that the vector has a length of 16 and makes an angle of pi/3 with the x-

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Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x + h) - f(x) %3D h

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Q: 10 12 13 14 f(x) 3 6. 5 26. The table above gives values of the continuous function f at selected va...

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Q: If a rock is dropped from a height of 196 ft, its poistion t seconds after it is dropped until it hi...

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Q: VI. Give the Maclaurin series expansion of f(x) = ln(2 – 3x). Determine its interval of convergence....

A: Note that, the Maclaurin series of ln (1-x) is: ln (1-x)=-x-x22-x33-x44-...           ...(1) which i...

Q: 1- I Given the functions f(x) = 3+ Vĩ, g(x) = x² – 3, h(x) = I - 3 5x – 1' %3D m(r) = find the follo...

A: The functions area given by fx = 3+xgx = x2-3hx = 1-x3x+5mx = x-35x-1 To evaluate: d f-hx   e g+hx  ...

Q: Stock Prices The ending cost (in dollars) per share of products of Tempco Electronics on the tth da...

A: Average of a function f(x) over a interval [a,b] is given by f(b)-f(a)b-asee below the answer  

Q: Write the equation in logarithmic form. 10° = 1000 The equation in logarithmic form is

A: Solution in logarithmic equation is given

Q: (x – 2)? (y – 5)? 1 Given the ellipse 16 Find the center point: (2,5) List the major vertices (separ...

A: Given the ellipse x-229+y-5216=1To find the center point.To list the major vertices.  

Q: Consider the function f() = 2r + 8 on the interval [-7, 5]. Find the absolute extrema for the functi...

A: Given: f(x)=2x+8, [-7,5]

Q: a²x, a?x? Po(x) = 1, p1(x) = 1 + ax, p2(x) = 1 + ax + 2! P3 (x) = 1 + ax + 2! %3D 3! a?? ax? p4 (x) ...

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Q: onsider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) Evaluate...

A: Consider the following function. f(t) = 20sqrt t-3 (a) Find the relative rate of change. (b) E...

Q: 5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit 00 8. Co...

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Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 2x^2−...

A: topic-  tangent lines

Q: x In(2 + x³) dx

A: Topic  = Integration

Q: I. Find the derivative of the following functions: a. f(r) = 23 + 6x b. h(r) = (3r + 4)2 c. y = Vr3

A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted

Q: Let f(æ) = 9 sin(cos(x²)) || f' (x) =

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Q: Consider the function f(z) = 2 sin on the interval [0, 19]. %3D 2 4 6 8 10 12 14 16 18 Find the aver...

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Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

A: The Maclaurin series expansion of ln (1-x) is: f(x)=-x-x22-x33-x44-...          ...(1) And is conver...

Q: A one-to-one function is given. Write an equation for the inverse function. X-4 v (x) = x+5 (x) = D

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Q: 11. In the problem, t is a real number and P = ,-26 is the point on the unit circle that corresponds...

A: Topic = Trigonometry

Q: Consider the series (In(2n + 1) –- In(2n – 1)). n=1 (a) Let an = In(2n + 1) - In(2n - 1). Does {a}1 ...

A: (a) To check: Whether an=ln(2n+1)-ln(2n-1) Solution: limn→∞ ln2n+1-ln2n-1=limn→∞ ln2n+12n-1         ...

Q: The following function is a company's price function, where p is the price (in dollars) at which qua...

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Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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Q: A projectile is fired vertically upward into the air, its position (in feet) above the ground after ...

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Q: Re write the equation to form x=g(x)

A: This is a problem of numerical method. For fixed point iteration method we will convert first the eq...

Q: Determine whether the improper integral diverges or converges. dx

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Q: 12) Find the force on a submerged gate shaped as a parabola 12m high and 8m across its top if the wa...

A: Here we will use the concept of pressure applied on the parabolic surface. Based on the given formul...

Q: Let A(f) = 500(1.07) represent the amount of money, in dollars, in an account i years after the year...

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Q: Find the area of the region bounded by the spiral r= 50 for 050ST. r= 50 2 '2 (5π,π)

A: Find your answer below 

Q: Determine whether the two functions are inverses. -4 4x-4 t (x) = and v (x) = x-4 The two functions ...

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Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decre...

A: Let's find. 

Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3) Fo...

A: Given x3+y3-6xy=0 We have to find slope of tangent line at 43,83

Q: Given the function f, discuss its relative maximum and minimum points, the intervals where it is inc...

A: A function f(x) is increasing on (a,b) iff f'(x)>0 ∀x∈(a,b) and decreasing on (a,b) iff f(x)< ...

Q: – 4x + 30 The partial fraction decomposition of can be written in the form of 8x2 + 34x + 21 f(x) g(...

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Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

A: Given:   Perimeter of rectangle = 200

Q: The half-life of cesium-137 is 30 years. Suppose we have a 150 mg sample. (a) Find the mass (in mg) ...

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Q: 1. (Rew Echelon and Reduced Ro w Echelon Form). Which of the folowing matrices are in row echelon (R...

A: Note: A matrix is in row echelon form (RE) if it satisfies the following three properties:1. All non...

Q: Find the general solution for the differential equation. dy -20xy-5x 0 dx y = D

A: We have to find the general solution for the given differential equation.

Q: 3 situations that could represent functions

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Q: 2. a) Find lim g(x), lim g(x) and lim g(x) 2 b) Find f(1). c) Is g continuous at x = 1? Why or why n...

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Q: V12 2+3+ cos The value of sin cot cos V 4 + sin 4 12 is

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Q: Activity III A. MATHEMATICAL SYMBOLS. Symbolize the following propositions. Let L: "Los Angeles Lake...

A: For second question reupload it according to bartleby guidelines

Q: D. x4-4x2+8х J(- • Evaluate the indefinite integral. dx ,and • Identify what is the u=? and du=? Sho...

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Q: Find y' cos(xy) - y^4 = 5 - 3x

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