Find the equation of the line that is tangent to the curve at the point (π, -2TT). The equation of this tangent line can be written in the form y m= and b = mx + b where y = 2x cos x

Q: Determine the long-run behavior of the rational function (x + 1)(3x + 1) (6x + 1) (3x - 5) f(x) =…

A: Given: f(x)=(x+1)(3x+1)(6x+1)(3x-5) We are required to find: As x→∞,f(x)→?As x→-∞,f(x)→?

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: Minimize c = x + y subject to x + 9y ≥ 10 9x + y ≥ 10 x ≥ 0, y ≥ 0.

Q: Use the Laws of Logarithms to expand the expression. 3x⁹ log3 y

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Q: The area between a curve y = f(x) and the x-axis where a <x<b is the integral of y with respect to x…

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Q: dx x(x²+8)² S 2

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Q: a) Find the Riemann sum for f(x) = 7 sin(x), 0 ≤ x ≤ 3?/2, with six terms, taking the sample points…

A: According to question,Given Function,f(x) = 7 sin(x), 0 ≤ x ≤ 3π2,

Q: Problem #1 A family of curves is given by x² - y² = k²_for k = {-00,00} Find the equation of the…

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Q: Use both the washer method and the shell method to find the volume of the solid that is generated…

A: The given curves are:y=x2,  y=16   and   x=0

Q: f(x, y) = √√3x² + 4y² fz(-1, - 5) Calculator Check Answer

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Q: Calculate, to the nearest cent, the future value FV of an investment of $10,000 at the stated…

A: We need to calculate the future value of an investment of $10,000 at 0.2% per month compounding…

Q: For n greater than7, find three consecutive integers n, n + 1, n + 2

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Q: K Use the figure to evaluate the following function, given that g(x) = cos x. g(2x) ABSCHIED Q…

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Q: Evaluate ∞ ∑  4(1/2)ˆ(x-1) x=2

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Q: 7. A curve in the zy-plane is described by the equation 2y(x − 1)² – xy² + 1 = 0. (a) Determine…

A: Given equation of curve: 2yx-132-xy2+1=0 Now, from the given points (1,0) , (2,0), (1,1) , (2,1) and…

Q: e flux of the vector field F = s point upward. Fonds= (e2,52,5xy) across the curved sides of the…

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Q: If g(x) = sin(t)dt, find g'(x).

A: Given: g(x)=∫1x2sin2tdt We are required to: Find g'(x)

Q: 5,² fax = Tim 2. Use the limit definition of the integral (and special sums of integers and squared…

A: ∫14x2+2dx

Q: 7. pπ/2 0 sin x dx, N=6

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Q: That was not the answer it was 6730.77

A: Given : Future value = $7000 Rate = 8 % = 0.08 time = 6 months = 6/12 year = 0.5 year   To find :…

Q: Find the future value of a $35, 000 annual income stream if it is invested immediately as it is…

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Q: Change from rectangular to spherical coordinates. (Let p≥ 0, 0≤ 0 ≤ 2π, and 0 ≤ y ≤ T.) (a) (0, 6,…

A: The rectangular coordinates.

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.02q2 +5g - 48, where q…

A: The profit function is given, Pq=-0.02q2+5q-48

Q: 37. 4 In xdx, M10 2- 1

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Q: Find the area of the region. f(x) = x² + 6x + 9 g(x) = 6x + 25 -10 -5 y 50 40 30 g 20 10 f 5 X

A: fx=x2+6x+9 and gx=6x+25 ⇒x2+6x+9=6x+25⇒x2=25-9⇒x2=16⇒x=±4At x=-4⇒y=6-4+25=1At…

Q: Evaluate the integral. - In 2 S - In 10 C 2e° sinh Ꮎ ᏧᎾ

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Q: Find the sum of the convergent series by using a well-known function. (Round your answer to four…

A: Here given that a conversant series and we find the sum of this series by using a well-known…

Q: Find the following using the table below. 2 3 4 4 2 3 1 4 3 2 4 1 2 4 1 x f(x) 2 f'(x) g(x) 3 g'(x)…

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Q: Given that the point (54, 72) is on the terminal side of an angle, 0, find the exact value of the…

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: Using the graph, find the missing values of x and f(x). 3 2 -2 y 1 3 1. f(-1) 2. f(1) 3. f(0) 4. If…

A: graph of f(x)  and g(x)   given we find f(x) ,g(x) and x value?

Q: Wrong answer!

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Q: The graph of f is given. Draw the graphs of the following functions. 2 0 1 d) y = f(x) + 1

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Q: A piece of cardboard measuring 14 inches by 11 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 14 inches by 11 inches is formed into an open-top box by cutting…

Q: Find the limit lim (I,y) → (0,0) Along the path y=x: Along the path y = -x : Calculator lim (z,y) →…

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Q: Identify and sketch the surface (S) of equation z=: 16 your work). (Show all the details of

A: The given equation z=x216+y24. We have to sketch the graph of the surface.

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

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Q: For the given cost function C(x) = 52900+400x + x², First, find the average cost function. Use it to…

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Q: 35. Seve √x dx Hint: Let u = x¹/²

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4-x from above inside x = y² ,x=4.

A: The given curves are:z=0,    z=4-x ,      x=y2   and    x=4

Q: What are the characters of the following series, respectively n²2-1 4n-1 00 n=1 00 #1 n+2 m=2 A)…

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Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

A: The research department produced the marginal cost functionC′​(x)=500−x3​, 0≤x≤900​, where C′​(x) is…

Q: TY Find the linear approximation to the equation f(x, y) = 4₁ at the point (2,8,8), and use it to…

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Q: 6. Ambrose is a wedding planner. He has hired a band that charges $750 for 3 h of music or $1200 for…

A: Band charges $750 for 3 hours and $1200 for 6 hours of music.

Q: D(x) = (x-9)², S(x)=x² +6x+57

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Q: 14. Find the limit (if it exists). Show your work algebraically. lim f(x), where f(x)= x+1 [x³ +7,x1

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Q: Solve B+4X=A X=?

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Q: An equation of the tangent plane to the surface 2y-z² = 0 at the point Po(0,2,2) is given by: a.…

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Q: f(x) = -x + x², h(x) = -x + 2 dan g(x) = x C = (0,0) B=(1, 1) D=(2.31, 2.31) A= (1.7, 0.3)

A: Graph

Q: Where did you get the pi/4 from?, I'm having trouble understanding how you found the integral for…

A: We have to tell how to get the integral limit π4≤θ≤π2

Q: Please do it again but without abbreviations or letting functions equal a variable. That makes it…

A: Please do it again but without abbreviations or letting functions equal a variable. That makes it…