Find the limit as n approaches infinity of: an = (2n²+ n-1)/n³

Q: Find the area of the shaded region. 4 3 2 f(x)=x- 8x +21x, g(x)= -14x + 136

A: We can find the area of the shaded region using the required formula in the below steps.

Q: f(x) = 0, COS . x≤0 X>0 Complete parts (a) through (c)

A: a. Answer : B : limit does not exist   b.

Q: Find an equation of the sphere with center (-5, 1, 9) and radius 9. What is the intersection of this…

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Q: 4. y= 4-9x 4+9x

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: If you know that lim f(x) exists at an interior point of a domain interval of f, can you find its…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: 1. Use deductive reasoning to show that the following procedure produces a number that is three…

A: Produce a number that is three times the original number

Q: y=3e^x + 4/∛x *differentiate the function.

A: Topic:- derivatives

Q: -+-N=r; N(2)=8. dt t

A: we will find the required.

Q: II. Determine the point(s) of intersection, m, and m₂, and the angle(s) of intersection of the given…

A: Given:     The curves 2y=2x2-6x+7                       y=x2-3x+72 ...1    Curve 2y=x+4…

Q: (1) Let A 1 2 1 10 1 1 1 2 Express A¹ and A as products of elementary matrices.

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Q: u 2.) du + (-1/2 − u²)dt = 0 t

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Q: Graph the function. Then answer the a) What are the domain and range of f? b) At what points c, if…

A: Understanding of graphs of any function is required to solve this question. Domain of a function is…

Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION I…

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Q: 7. Determine all value(s) of the constant k so that the planes x+2y+3z = 4 and 3x + (k²+2)y+(7-k) z…

A: We need to find values of k.

Q: let a and b be integers such that 7 divides both a+3b and a-2b. Show that 7 divides a

A: Given 7 divides a+3b and a-2b  Then 7 divides (a+3b)+(a-2b)= a+b  And 7 divides (a+3b)-(a-2b)=5b…

Q: 5. y = (2+ x)²(1-x)'

A: We need to find out the derivative of the function.

Q: f(x)=x^3(x+3) *differentiate the function

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Q: if f(x)=-(sqrt(81-x^2)) find the domain and range answer in interval notation

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Q: The price, in dollars per units, that consumers are willing to pay for a popular high-end digital…

A: The objective of the question is determine the value of price , units and fill the boxes.

Q: 2. Find the following limits without using a graphing calculator or tables. x-5 a)lim x-5 2x²-9x-5 -…

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Q: Black pink held a concert in moa arena. the vip ticket sold 15$. Lower box ticket were sold for 10$.…

A: NOTE: Refresh your page if you can't see any equations. . x=number of VIP tickets (each sold for…

Q: [-1 -10e*+e* dx

A: Topic = Integration

Q: Let f(x,y) = 4√xy³²+ 4y + ex 1. Use local linear approximation to estimate. 4√ (0-1)(0-9)² + 4(0-9)…

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Q: Find the standard form of the equation of a PARABOLA opening to the right such that the endpoints of…

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Q: tal derivatives of the following function dz: z = 4x² - 3xy + 2y², where x = (CW P.193, Exercise…

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Q: Find the required quantity. 2x-1, 1. At what point/s will the tangent/s to the curve y=- 2x+1 be…

A: Given curve is y=2x-12x+1and liney-4x+3=0y=4x-3 Slope of line m=4 Slope of tangent to the curve…

Q: (b) Find (f ¹)'(1) if f(x) = x² +5 sin " + cos2. (TTX) (X)

A: Solution to find the value of derivative of inverse of f(x) at x = 1 is as follow

Q: graphed below. Find each value. 10+ 10-9-8-7-6-5-4-3-2 lim f(x) = 2-2 lim f(x)= z→2¹ lim f(x) = I-2…

A: Given graph of fx as below

Q: The system of equations 2x-3y-z = -2, -x+2y-5z = -15, 5x-y-z=6 has a unique solution. Find the…

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Q: total cost (in dollars) of producing xx golf clubs per day is given by the formula…

A: Given query is to find marginal cost function and marginal cost at level of 55.

Q: Evaluate the integral using an appropriate substitution. 10e +e -x 10e* e-x S C dx = +

A: sunstitute   10e^x-e^{-x}=u

Q: Based on the given table of data, compute each of the following derivatives (fog)'(2) (gof)(4) = X 2…

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Q: Is there a value of n that will make the following function continuous at x = 0? Give reasons for…

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Q: y = 8 tan 5x + 4 cos 3x + 11secx

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Q: Find the maximum value of the function z = 4x + 3y subject to the following constraints. 3x + 2y ≤…

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Q: HISU UNICAR HUN OMAGGIOI TU LARVEST, 3. Elphaba the squirrel, the notorious criminal, is planning a…

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Q: y = sin (3x)

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Q: F(x) = x³ - 2x² b) manipulate the function algebraically and differentiate without 2x2 alsolve with…

A: Given function:- fx=x3-2x22x2

Q: Find the equation of the normal line to the curves at the  point of tangency, if given.  1.…

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Q: Give the actual solution of dy -= 2xy² + 3x²y² if y = -1 when x = 1 dx

A: Given query is to find the solution of the differential equation.

Q: Find a. b. C. d. e. f. g. lim x-3 lim x0 lim x → 0+ lim x10 lim x2 f(x) h. f(2) f (x) f (x) f (x)…

A: We need to evaluate the following limit for the given graph of the function a. limx→-3fxb.…

Q: For the given graph of the function f, -4 -2 4 2 -2 -4 2 on the left, 4

A: In inverse function the value of x and y interchange. and it is reflected about y = x a.

Q: Question 7 In the Four-Step Rule, which among the steps is the most important, upon which the…

A: A differential equation is an equation that involves a function and it's derivatives.

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

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Q: B. 3y² + 2xy = 8 dy dx m TL Equation of tangent line m. NL Equation of normal line

A: Given equation of curve:- 3y2+2xy=8

Q: Problem 3.2 Lines and planes in R³ Consider the plane described by = 4. 2x - 3y + 6z = a) Calculate…

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Q: Name: opez Show work/reasoning. 1. Solve the initial valued problem: y'=e' with y(0) = 0. Give your…

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Q: 5. Rewrite the expression as an algebraic expression in x. X cos( 1¹ (3)). H≤3 |x|≤3 (a) cos sin

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