t continuous: * = t differentiable: * = ter none if there are no x-values that apply; enter x-values as a comma-separated list, e.g., 1,3,5.)

Q: Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = 3x² + x₁ a = -9…

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Q: Which of the following graphs exhibit ALL of the listed properties: lim f(x) = -1, x x ● lim f(x) =…

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Q: --1/0 -1 -1 1,0

A: As we can see  in the figure the tangent line passes through the point x=2. Slope of tangent line…

Q: Find the arc length of the curve below on the given interval. 1 3/2 y = 72/7 (9x² + 6) ³₁ on [3,9]

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Q: Using the RN approximation, express the area under the graph f(x) = 8 sin(x) over [0, 5] as a limit.…

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Q: 2) lim x → 0 cosx−1 sin x

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Q: F Find the arclength of the curve x = = 2 cos(5t), y = 2 sin(5t) with 0 ≤t≤ 20

A: To find the arc length of the curve x=2 cos5t, y=2 sin5t with 0≤t≤π20.

Q: Let lim g(x)=8_and_lim h(x) = 5 x→4 x→4 Determine the value of the limit h(x) lim x→4 x + g(x)

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Q: What values of a and b make the function f continuous everywhere? a= and b = f(x) = x² x ax² 12x -…

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Q: bes the an = n 3⁰ {ans Select the correct choice below and, if necessary, fill in the answer box to…

A: The given sequence is;  an=n/3n.

Q: Find all solutions of each equation on the interval [0, 27). 4 cos²x-1=0

A: Given query is to find the solution of the expression.

Q: When a sprinkler is set to full rotation, the water covers a circular section of garden with radius…

A: Please see the below answer.

Q: Let f(x) = 1- 8x + 4x². Calculate the following values: f(a)= 4a²-8a+1 f(a+h) = 4a²+ Sah+ 4h²-8a-8h…

A: To find the value of difference quotient.

Q: Find the indicated Midpoint Rule approximation to the following integral. 10 ₂0 2x² dx using 1, 2,…

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Q: Find the absolute maximum and absolute minimum of the function f(x, y) = 2x³ + y on the region {(x,…

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Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 24 - 6x²…

A: To find the volume of a solid obtained by rotating the region underneath the graph of  fx=24-6x2…

Q: (Hint: Rationalize twice) (ii) Use the result of part (i) to evaluate lim #42 (Hint: It's a one line…

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Q: 1 7. For f(x) write the linear approximation at a = 0 and estimate f(-0.1). 1 + x (Note: The…

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Q: Find the derivative of the following function. f(x)=√coth (-3x) f'(x) =

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Q: Evaluate the integral. 8 6.² - xex Jo (1 + x)² dx

A: integration by part is given by∫fdg=fg-∫gdf

Q: could you clarify part a please ? is that a g? or a 9? what is part a answer??

A: Given that f(x)=x2-5x-14x-7we have to find limx→7f(x)

Q: © Macmillan Learning Assume that the graph of y = f(x) consists of a semicircle of radius 2 and two…

A: Please see the below picture for detailed solution.

Q: determine the open intervals on which the graph of the function is concave upward or concave…

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Q: f(x) = x2 + x and so f(1) = 1 + 1 = 2 We want to approximate the slope at x = 1 using the slope…

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Q: For the curve given by ind the following: dy 1. = 3²-3 2. de = 4t 3 3. d 4. d 3 4t Determine the…

A: Given query is to find indicated derivative.

Q: Let lim g(x) = 6 and lim h(x) = 8 x→4 x→4 Determine the value of the limit lim [g(x) — 10]² x→4

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Q: Let F(x) = 1 x² 6 x4 (x+9x³). Then f'(x) =

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Q: Find the reference angle for the given angle. 101° 0000 21° 89° 79⁰ 11° QUESTION 9 Find the…

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Q: a) Find y'= d dy dx b) Show that y" = 2(y-1) (x-1)² lise

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Q: For the given functions f and g, find the requested function and state its domain. f(x) = x-9; g(x)…

A: given  f(x)=x-9g(x)=9x2(f+g)(x)=f(x)+g(x)

Q: 7x-7 m 1- 1-r im |7x-71 1+ 1-x Question Help: Message instructor D Post to forum Submit Question Q…

A: We will find the required.

Q: Consider the following relation. ارما 3 -3 Step 1 of 2: Determine the domain and range for the…

A: Given:

Q: You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v = 125. Find the…

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Q: State the limit definition of the derivative for a function g (x) at any point x, and 1 use it to…

A: The limit definition of the derivative for a function g(x) at any point x is given as:…

Q: TOPIC 1: Implicit Differentiation Q. #1 For 2r-y-5=0, please find dy in two ways: dr a) using…

A: We can solve the given problem by using the implicit differentiation and direct differentiation…

Q: Does the sequence {a} converge or diverge? Find the limit if the sequence is convergent. an = n 7⁰…

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Q: Using the RN approximation, express the area under the graph f(x) = 7 sin(x) over [0, €] as a limit.

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Q: Assume that f'(4) = − 2, g'(1) = At x = 1, y' = (Simplify your answer.) g(1) = 4, and y = f(g(x)).…

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Q: Which one of the following is the solution to the Initial Value Problem: y = (y² − y) (2x + 5 y(1) =…

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Q: 3) 3 sin x + 5 sec x tan x COS X √³5 dx

A: V=∫3sinx+5secxtanxcosxdxtanx=sinxcosxsecx=1cosx∫1xdx=lnx

Q: Find dy dt = dy dt - for y = cos 2 (4nt – 7).

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Q: 5. Using limits, find an equation of the line tangent to the function f(x) = 5x - 3x² at 2x+ x = 2.…

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Q: Find the critical point of the function f(x, y) = x² + y² + 3xy + 5x C = Use the Second Derivative…

A: To find the critical point of the function fx, y=x2+y2+3xy+5x. By using the Second Derivative Test,…

Q: If a rock falls from a height of 39 meters on Earth, the height H (in meters) after x seconds is…

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Q: Graph the function as a solid curve and its inverse as a dashed curve. f(x) = x³ +4 fy Anana

A: NOTE: Refresh your page if you can't see any equations. . the given function is  to graph the…

Q: 2. If V = ху (x2+y2)2 and x = r cos0, y = r sin0, show that + a2V 1 2V др2 r ər 1 02v r2 дөг = = 0.

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Q: 1a) The position of an object at time t is given by P(t) = 4t² − 4t + 3. Find the time t = a so that…

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Q: 6. Determine the limits obtained by approaching (0,0) along both the x and y What does this say…

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Q: (d) At which points, if any, is f(x) continuous but not differentiable? State x-value of any such…

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Q: (a) The domain and range of f. [-5,5] [-5,1] domain range 1 decreasing (b) The intervals on which…

A: The given graph is