Find the limit of the sequence: 4n? + 2n + 3 An 4n2 + 6n + 2

Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = -9 plane,…

A: Let's find.

Q: Find an equation of the plane through (0, -9, – 1) that is perpendicular to the line x - 2 = 3t, y +…

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Q: Differentiable Function. If a differentiable function f(x) satisfies f(-2) = f{2) then there exists…

A: Given that f-2=f2 we need to show that for what condition c∈-2,2

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: omposition. Suppose we want to find the composition of a function with itself. Let g(x) = -4(x+3)2…

A: Given, g(x)=-4(x+3)2

Q: 5. S(-3 Vx- 6x Vx) dx

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Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

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Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: As per guidelines, I can answer maximum three subparts of a question. Since you have asked for…

Q: Let F = (5x,9x, 4) and G = (4,9x, 5). Calculate curl(F). (Give your answers using component form or…

A: The given functions are F=(5x,9x2,4) & G=(4,9x,5)

Q: x- 9x + 3x? The limit of the function f(x) : as x approaches negative 3x-4+ 5x2 infinity is equal to…

A: Find your answer below

Q: S(a – x)°dx

A: We need to integrate given function.

Q: = -x2-2x+2 and C(x) x2 + 0.5 = 4 C(X) R(x) 1 -2 -1 1 2 The profit, or the area enclosed between the…

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Q: Find the area between the graph of f (x) = 10 – x² and the x-axis over the interval [-3,3]. area =…

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Q: The number of bacteria P (h) in a certain population increases according to the following function,…

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Q: dy = 3 , find dt dx when x = 1 dt x and y are functions of a third variable t. If Væ + Vỹ = 4 and

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Q: Find the derivative of the function. y = x2 In x2

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: Choose the rule that you would use to most efficiently find the derivative of the function 3 f(x) =…

A: The given function,   f(x)=32-x3

Q: P(x,y) = 696 – 10(x - - 15(y – 1)2 where P(x,y) is the price of land at the point (x,y) in dollars…

A: I have used the rule and find the solution . Point (1/2, 1) at which price is highest.

Q: Let f be a twice differentiable function such that f(1) = 2 and f (3) 7. Which of the following must…

A: We have to choose correct option  Here using Lagrange mean value theorem

Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

Q: 15. Apply the Mean Value Theorem to f(x) = Vx – 2x using the interval [0.4]

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Q: 2. Consider the graph of the function f(x) = va – 2 where x 2 2. 2.a. Identify whether the function…

A: We have to check continuity of the function

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v= (0, 6) %3D b =

A: Explanation of the answer is as follows

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D %3D v (0, 6) %3D b =

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Q: Find the direction cosines and angles of u and show that cos a + cos B + cos? y = 1. (Round your…

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Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

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Q: hplete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx | (tan(x))7…

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Q: integrate all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

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Q: For the sequence defined by: a1 = 2 2 + 1 An %3D An+1 Find: a2 %3D a3 = %3D %3D esc ->

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Q: Find u · v, u· u, ||v||2, (u· v)v, and u · (3v). u = (4, -2, 5), v = = (0, 6, 3) (a) u V (b) (c)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Suppose that f is a function given as f(r) = - 2² +2x + 4. Simplify the expression f(x + h). f(x +…

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Q: Find f (x) if f'(x) = and f(1) = 25. O f(x)= 16x + 25 O f(x) = 16x +1 O f(x) = 16xl +9 O f(x) = 16x…

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Q: Question A vertical cylinder is leaking water at a rate of 8 m³/sec. If the cylinder has a height of…

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Q: a) | f(x)dx = b) | f(x)dx = c) 5f(x)dx =

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Q: 4x2 + 4x 7 If y = find: 6 5x dy %D da

A: Consider  y=4x2+4x-76-5x

Q: The limit of a constant is always a constant. O FALSE TRUE

A: To proof the limit of a constant is always a constant. Let the function fx=k, here k is a constant

Q: 2x 14x + 20X Limits. Evalute lim X-5 rounded to 4 decimal places x2 - 6x + 5 O 0.1333 O 1 O 0.5 O 2…

A: We can find the limit as below.

Q: Fundamental Theorem of Calculus. The Fundamental Theorem of Calculus says: All of the statements are…

A: The given data is: The fundamental theorem of calculus says:

Q: An object moves in a straight light according to the position function s(t) = 2tet where s is in…

A: Explanation of the answer is as follows

Q: show that the 2x2-y2=C is a solution to yy'-2x=0.

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Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. 9x+9…

A: First we factorise the denominator of the given function.Then form the partial fraction…

Q: Find the area of the shaded region. Edit = Vco r = COs 20 r = 2 cos 0 NOTE: Enter the exact answer.…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: Integrals. Given that 0. -1 f(x) dx = -2, | f(x) dx = -1 and -5 f(x) dx = 8 -5 what is 2f(x) dx? O7…

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Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. a² + y?…

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Q: x² sinh x dx

A: Let's find.

Q: 1. Solve the following quadratic equation by completing the square: x2 – 6x +4 = 0

A: We are authorized to answer one question at a time , since you have not mentioned which question you…