polimis ul 4x+5, if x<3 Ax) = 4x-5, if x>3

Q: Express the function below (using parentheses, ^, x, +, etc.) in a form suitable for typing into a…

A: the given expression,    -6x34+3x145

Q: 8x Find the power series for f(x) = in the form an. (1- x*)? n=1 Hint: First, find the power series…

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Q: Solve the problem. Determine the dimensions of the rectangle of largest area that can be inscribed…

A: From the figure:Let 2x be the length of the rectangle;Hence,using Pythagoras theorem;width2+2x22…

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: Using separation of variables, solve the differential equation, dy e sec(x) – -cos(x) = 0. dx Use C…

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Q: 1.) Use the graph of f(x) below to evaluate the following: a.) f(3) = b.) lim f(x)= ind 3? d.) lim…

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Q: Find the limit. - V1+x? lim 3x2

A: This is a problem related to limit of the function. Based on using L'Hospital rule we will evaluate…

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: Solve the following improper integral : x3 + x? x6 +1 8

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Q: 0.6 d.5 Q3 A symmetrical parabolic segment y = 4x(2- x) rotates around the x-axis as shown in the…

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Q: How can you randomize the items of a list in place in Python?

A: The method shuffle( )  can be used to randomize the items of a list in place. It should be noted…

Q: 1 let w = f(x, y, z) = Vx²y+y² z+z²x and x = 3st, y = 4st, z = 2st. a) Find ow dx dw b) Find dt and…

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Q: Evaluate the indefinite integral. Use C for the arbitrary constant. 25 35e* dx =

A: Given problem :- Evaluate the indefinite integral. ∫ (25/x -35ex) dx

Q: Your answers from smallest to largest 0. If an intersection occurs at the pole, enter POLE in the…

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Q: Consider the following. f(x) = x3 – 75x + 6 (b) Find the local maximum and minimum values of f. (If…

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Q: 6x-7 4. S (2x+1)(4x²+1) dx In(4x² + 1) – 2 In(2x + 1) -Tan" (2x)| + C'

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Q: Find all values of k for which the function y = sin(kt) satisfies the differential equation y" + 8y…

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Q: Consider the iterated integral || f(x, y) dy da where R is the region between the curves y = r and y…

A: To find the missing values in the limits of the integral .

Q: 3. Find Power Series Representation of f (x) around c=0. %3| a) f(x)= and 1-x b) f(x)= (1–x)

A: Solving

Q: Find recursive definitions and closed formulas f sequences below. Assume the first term listed is 1.…

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Q: 6x

A: How can i find the intercepts of this Equation F(x)= x^3- 6x^2 write down the co - ordinates of…

Q: Evaluate the integral R xe*y dA, where R = [0,4] × [0, 3]. (Use symbolic notation and fractions…

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Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

A: Given,2,5,8,11,14Here a0=2d=a1-a0d=5-2d=3we know that ,an=a0+(n-1)dan=2+(n-1)3an=2+3n-3an=3n-1

Q: dy х+3у. dx 2х

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Q: Consider the function f(x) = x + 2/x − 6 . a) Is the point (3, 14) on the graph of f? b) If f(x) =…

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. Σ n V n2 + 4…

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Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

A: Graph of the semicircles are given, we have to find the given integrals

Q: 2.) y' 2y =y"; y= 3 when x=0

A: Given differential equation y' -2y=y2

Q: Find the volume of an object enclosed by parabola z = x2 +y2 and plane z = a2. How do I find my…

A: We have to find the volume of an object by parabola

Q: Benjamin wants to accumulate at least $45,000 by depositing $1,200 at the end of each month into a…

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Q: Find the area of the parallelogram that has u = i – 2j + k and 2j + k as adjacent sides. V NOTE:…

A: Calculate the cross product of two vectors and then find the magnitude

Q: Question 4 Given y=[ 2 +(x²+1)ª ]³; Find y' O Y = 64 (x2+1)° O (E) None of the choices O y=24x…

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Q: Identify the open interval on which the function is increasing or decreasing. (Enter your answers…

A: topic - application of derivatives

Q: Curve sketching show all work f(x) = sin(x)cos(x) on [-pi, pi]

A: Solution is given below:

Q: Evaluate the indefinite integral as a power series. What is the radius of convergence? d.x 1+ x5 13.

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Q: 2+ex dx ex Evaluate:

A: Topic = Integration

Q: 3.) Y + y = x" ן1

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Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: a) The interval on which f is increasing is

Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

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Q: Determine the extreme values of the ff. functions. f(x) = x^2 + 3 on [1,3]

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Q: Find f. f"(x) = 6 – 6x – 60x³, f(0) = 2, f'(0) = 3 %D f(x) = %3D

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Q: Use the limit laws to evaluate the limit. x+14 lim X→-14 196-X Select the correct choice below and,…

A: Let,L=limx→-14x+14196-x2L=limx→-14x+14142-x2L=limx→-14x+14(14+x)(14-x)L=limx→-141(14-x)L=114-(-14)L=…

Q: Determine the extreme values of the ff. functions. f(x) = 2x^2 +8x -11 on [2,4]

A: This is a problem related to maxima and minima. Based on the general concepts we will answer the…

Q: A fish tank initially contains 40 liters of pure water. Brine of constant, but unknown,…

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Q: 6-X Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Find the equation of the line parallel to 7x + 2y - 4 = 0 and passing through (-3, -55)

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Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = ex/7…

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Q: Cos x (1) What is f(0) if | f(t)dt = x cos x? sin r (i) –1 (ii) 0 (iii) 1 (iv) 2 (v) 3

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Q: 3) Find the missing angle and sides of the triangle below. Round the lengths of the sides to the…

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