if a <-1 - 2x 1 if -1<<1 Sketch a graph of f(x) = 1 if z> 1 5+ 4- -2 -1 -- -5 -4 -3 4 -2 -3- -4 -5+

Q: Evaluate the limits. If any of them tend towards -00 or +∞, enter "oo" (two lower case "o" letters) ...

A: We can find the limit as below

Q: If a cup of coffee has temperature 95°C in a room where the temperaturé is 20°C, then, according to ...

A: Given:- If a cup of coffee has temperature 95°C in a room where the temperature is 20 °C , then, acc...

Q: 2. Which of the following integrals are improper? Why? T/4 tan x dx (b) " Jud (a) tan x dx dx (c) L ...

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Q: 35 1. Determine if the ratios 20 and- 91 form a proportion. 52

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Q: More on Functions Graph the following picce-wise defined functions, labeling how many picces this fu...

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Q: 1) Sketch the graph and test the symmetry of the following : r =10 r =-14sin 0 r? = 9sin 20 %3D

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Q: Find approximate values forf (x) at each of thex-values given in the following table. Use a right-ha...

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Q: Using the Trapezoidal Rule with = 4 subintervals approximate the area under the sine curve f (x) = s...

A: Topic:- application of integration

Q: Test whether the equations generated by scalar multiplication are equivalent to the original equatio...

A: Solution is here

Q: The Arch is an inverted (upside down) catenary curve, which means that it follows a hyperbolic traje...

A: Question 1: Given: The central curve of the Arch can be modeled with the function, y=693.8597-68.677...

Q: For the function f(x) = 4x state if a power function. If so, write it in the form f(x) = kxP and sta...

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Q: Show that the function f(x) = |x – 3| is not differentiable at 3. We have if x 2 3 (x) = |x - 31 = i...

A: Now, lim x→ 3+fx-f3x-3=limx→3+x-3-0x-3=1lim x→ 3-fx-f3x-3=limx→3--x-3-0x-3=-1

Q: 4. Draw the graph corresponding to the following adjacency matrix: O 2 1 0] 2 0 1 2 A = 1 1 1 1 0 2 ...

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Q: csc (In æ) cot(ln æ) csc³ dæ) æ[1+csc®(ln æ)]³ 5

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Q: a)Create a slope field at the indicated points.(0,1)   b)What is the value of dy/dx at (0,1)?

A: i shows a graph given below.

Q: 13. Algebraically find fo g(r) and go f(x) in their simplest form using I+7 f(r) = and g(x) = Vr - 2...

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Q: Determine the behavior of the functions defined below. Note that it is common to write "f(x) → o" to...

A: We have to calculate limits

Q: complete

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Q: The graph of a function f is shown below. 4 3 2 -2 4 Suppose the function g is defined as g(æ) . Fil...

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Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right triangl...

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Q: Find the partial derivatives of the function -8x + 9y f(x, y) = -7x + 4y f=(x, y) = %3D fy(x, y) =|

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Q: lcm of 6 and 18

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Q: Find a set of symmetric equations and a set of parametric equations for the line tangent to the curv...

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Q: 2. Sketch the region bounded by the graphs of the following equations. Where do they intersect? x = ...

A: We have to find required data releted to Questions.

Q: Determine the behavior of the functions defined below. If a limit does not exist or the function is ...

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Q: Find the curve in the xy-plane that passes through the point (9,4) and whose slope at each point is ...

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Q: 17. Derive Simpson's three-eight rule for the numerical integration and using this rule calculate th...

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Q: Symmetry 5. Look back at the graphs of the curves y = r2,x = y°,y² = x², y = ,y = VI, r2 + y? = 25 a...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the derivative of ?(?) = 5 sin(2?). using the chain rule

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Q: Suppose we have f(x) = 2x² + 2 and 9(x) = 2 – 3a", is (f – 9)(0) the same as (g – f)(0) ? Explain. %...

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Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: Express the point given in Cartesian coordinates in cylindrical coordinates (r, 0, z). A (예), 에(¥), ...

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Q: Let r(t) = (5t + 2, 2t^2 − 3, 2/(1 + t^2). limt→0 r(t).

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Q: 15 10 -10 -15 lim_ f(x) 2. lim f(x) x→-1+ 3. lim f(x) 1. X→-1- x--1 4. lim f(x) 5. lim f(x) 6. lim f...

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Q: dr 1. Find if dt

A: Follow the procedure given below.

Q: Given f(x, y, z) = /2x – y – 5z, find - - f-(x, Y, z) = %3D f,(x, Y, 2) = %3D f-(x, Y, z) =

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Q: Find an equation of the tangent line to the curve at the point (3, 9). X- 1 y = + 7 X - 2 y =

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Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (I...

A: maxima and minima

Q: Evaluate the given indefinite integral. Indicate u, n, and du. Scos* y sin ydy

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Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f b...

A: We know that, the graphical transformation: 1). The transformation fx→afx can be obtained by stretch...

Q: Sir Glenn gave BET-CPET students the chance to write their observations based on the list of functio...

A: For this we have to put the value in the given function. 

Q: 3tan a sec? x dx (4+3tan=)* 2

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Q: Q213-Functions f and g are defined by f(x) = 1/x + 3x and *.g(x) = -1/x + 6x - 4 find (f + g)(x) and...

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Q: 7. L. 1 dx 3 - 4x

A: Here we have, I=∫-∞013-4xdx

Q: hoology. Part I. Multiple Choice Directions: Choose the letter of the correct answer. Justify your a...

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

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Q: d Use the table below to find [1.3g(x) dx x= 1 1 3 4 5 f'(x) g'(x) 1 3 2 4 3 2 5 1 4 d [1.3g(x)] dx ...

A: Simply differentiate and put all the values.

Q: Find the limit (enter 'DNE' if the limit does not exist) (8x + y)2 lim (1,y)→(0,0) 64x²+ y? 1) Along...

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Q: 9.) f(x) = (2x + 1)* %3D

A: The given function is: f(x)=(2x+1)4

Q: Harley-Davidson Inc. manufactures motorcycles. During the years following 2018 (the company's 115th ...

A: We need to find present and future values.