Explain: e is really the limit of a sequence, and the value usually stated, 2.71828… is a numerical approximation of that limit.

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Q: 12 14 18 22 24 Determine the types of base functions required to create the following compound…

A: Graph of sine function is periodic and in form of waves .  Graph of sine function is -

Q: Use the graph of f(x) = below to find a number & such that f(z)-0.5 = Number 1 0.7 0.5 0.3 O 2 X

A: Given graph :-

Q: Find y dx Please, expert, I do not have much money. Solve please 4.y=log10 (x4 + 3x² + 1) 5.y = log5…

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Q: ich of the following functions have at least [x)=-x+ (x) = x ƒ0=(1) f(x)= log₂x f(x) = cos x a) ii…

A: Topic:- calculus

Q: Given f(x) = cos x and g(x) = sin x a. Determine (fog)(π) b. Determine (g¯¹0g)(x)

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Q: The magnitude of the vectors and are 2 and 11 respectively, and the angle between them is 53º.…

A: Given, |u|=2, |v|=11 Angle between u and v is θ=53°.

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Q: Determine the global extreme values of the f(x, y) = 8x - 2y if y ≥ x-5, y ≥ -x-5, y ≤ 3. (Use…

A: We will use graphical method yo solve this problem.

Q: consider the plane region R bounded by the graphs of y = 3/4(x + 3)2, y = 3/4(x − 3)2, y = 3 and y =…

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Q: Q.3 If f(x)=- √x-2 (x²-x+1) (a) The intervals on which f is increasing, (b) The intervals on which f…

A: Given. Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: 21. 22. 23. 24. 25. lim xcscx is x10 (A) - 88 2x² +1 lim X41 (2-x)(2+x) (A) - 4 |x| lim x10 (A) 0 1…

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Q: Given g(x) = x² + interval [6, 6 + h]. g(6 + h) - g(6) 10x + 3, find a simplified expression that…

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Q: 4.y=log10 (x4 + 3x² + 1) 5.y = log5 √x² +1 1-x² 6.y-log10 |2–5x3

A: Given 4. y=log10x4+3x2+1 5. y=log5x2+1 6. y=log101-x22-5x3         Derivative of the log functions…

Q: 3=44°, C = 27°, b=30 O not round until the final answer. Then round to the nearest degree as…

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Q: √x√x-2 dx

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Q: EXAMPLE 1 Determine whether the series 3 7n² SOLUTION For large n the dominant term in the…

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Q: 27) Two points A and B are on opposite sides of a building. A surveyor selects a third point C to…

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Q: Find the first and second partial derivatives of the function f (x, y) = 2x arctan (Use symbolic…

A: Given that f(x,y) = 2xarctan(3x/y). We find partial derivatives of this given function. We know that…

Q: x³-7x-6 lim x→→3 2x³-11x²+12x+9

A: We need to find limit. NOTE - As per Bartleby's guidelines we can  solve one question from multiple…

Q: The unit vector of = [5, 13, 7] is: ( 5 13 0(5) 07 5 0 ਦੀ s, ਹਨ) √455' √455 7 455 93 ' v3 / Vi

A: We can find the answer in the below steps.

Q: QUESTION 3 Mr. Anderson has chosen to build the rectangular garden with a length of 40m and a…

A: Note: Since the student has made a typing error for the values 45,40 and 35,52. We have considered…

Q: 4 Jo - xp (x), us (A) TWEN 6 2 (8) 7 (8) 46 9 3 (C) 0 (C) 0 (D) 1 (a)

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Q: ess the function G in the form fog. (Enter your answers as a comma-separated list. Use non-identity…

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Q: valuate the following definite integral. 0 1 30 x² - - 25 Find the partial fraction decomposition of…

A: Solving the problem by finding the value of the definite integration.

Q: √√3-1,√3+1,√3 The angle between the vectors √3- +1, √3 and [2, 2, 2] is:

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Q: g(x) = 10) Find the extrema for in [-5,-0.5] x² + 4x+4 X

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Q: Find the limit of the following functions: -1+√√x-4 1) lim X-5 x-5 2) lim f(x) where f(x) = x-2 x² +…

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Q: The vector a has a magnitude of 9 units. Its z-component is 3, and its z- What is its z-component?…

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Q: Based on the data shown below, calculate the correlation coefficient (rounded to three decimal…

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Q: Plot the point (s) where tan 0 = = Clear All Draw: √√3 3

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Q: Given that the DE y" (t)-6y' (t) + 6y(t) = 2e6t has a solution of the form Ce6t determine the value…

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Q: The graphs of y = f(x), y = g(x), y = h(x),and y = m(x) are shown. -12 h(x) -8 m(x) -4 g(x) 8 f(x)…

A: The graphs of y=fx, y=gx, y=hx, and y=mx are shown. By using the information in the graph to…

Q: solve xy' - y = xkyn, 1) y¹ – O a. (k+n O b. (k+n O c. (k+n O d. (k+n - - n 1) x¹ - n - 1) x¹ − n 1)…

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Q: Homework: Ex dx 7.S √√x + ³√x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

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Q: Without using a calculator, find all the solutions of tan(t) = 0 where - < t ≤ π.

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Q: The cross product is neither nor. The dot product is not 01. Commutative 2. Associative 3.…

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Q: The equations [2, 1, 6] + t[6, 1, 4] and [4, 1, 3] + s[2, 10, 9] Are parallel Intersect at one point…

A: Topic = Lines Given lines are skew lines.

Q: he limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four decimal…

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Q: Given f(x)=sin x and g(x)=logx, determine the domain of (fog)(x) and explain how you found this…

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" — (2a −…

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Q: 1. Four bugs are placed at the four corners of a unit square. The bugs crawl counterclockwise at the…

A: Concept: The cartesian coordinates for these two bugs are given by (rcosθ,rsinθ) ; (-rsinθ,rcosθ)…

Q: Explain how you would convert the vector a = 5 km with a bearing of 135° in Cartesian form.

A: Given a→=5 km and bearing of vector θ=135°

Q: Given a cost function C(x) = 20 + 10x + 5x², calculate the average cost at a productions level of x…

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Q: Determine the values of p for which the integral (x-4) s improper (A) p1 (p=0 (D) p=1

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Q: 5. S (2x+1) dx (x+4)*(x-3)6

A: Given - ∫(2x+1)(x+4)6(x-3)6dxthen we know that -…

Q: A circle can be defined by an equation x² + y² + ax +by+c= 1. Find an equation of a circle that…

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Q: Plot the point where 0 Clear All Draw: ←6

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Q: 4. Given f(x) = 3(x − 2)² + 6, what are the domain and range of f(x)? - a) Domain: {x € R}, Range:…

A: The given function fx=3x-22+6 we have to find its range and domain consider the general parabola…