(x + h)³ – x3 lim h→0 h Hint: answer is an expression involving variable x

Q: Find the interval of convergence of Σ (х - 6) In (5n) n=2 (Use symbolic notation and fractions where...

A: Interval of convergence is given below.

Q: G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Is G-1 a function and why/why not? Yes, no two ordered pair...

A: Given  G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Therefore G^(-1) = { (0, 1), (3, 2), (-1, 0), (-2, -1...

Q: QUESTION 7 A curve has an equation of y = x - 6x² + 9x + 2. What is the slope of the curve at its po...

A: topic - slope of the curve

Q: Σ n K. n=1 e

A: According to question,Given series,∑n =1∞ nen2

Q: Simplify the expression cos2x + cos x + sin2 x + 1

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Q: 2x² + 3 dx J x(x – 1)2 x(х —

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Q: Given the function y = x* e* , find dty dx for x = -1. %3D

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Q: Which of the following situations would be best modeled by an exponential function?  Select ALL that...

A: Which of the following situations would be best modeled by an exponential function?  Select ALL that...

Q: dy x fan x %3D

A: Given: -The equation is dydx=xtan-1xy To find: - The solution of the given equation.

Q: Find differential of the function ? = (x^2+2)^3 dy = ____ dx. When x = 4 and dx = 0.05, compute th...

A: We will differentiate the function Y=(x^2+2)^3 as follows 

Q: 6. f(x)=cot(x+180)+2 f(x) Period Vertical Shift: Horizontal Shift_ Start End Increments

A:

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

A: Given query is to find the length of the curve from (-27,9) to (8,4).

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dv 3 V

A:

Q: 2. Each of the following "derivatives" has been done incorrectly. In each case below, find a coun- t...

A: topic - derivative of a function

Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

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Q: Let f : R → R be the function defined by 1 f(x) 2* a) Is ƒ is one-to-one? If yes, then explain why. ...

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Q: The allergy tablet shown consists of a cylinder with a height of 2.05 mm and radius r with hemispher...

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Q: Need help with completing two derivatives: For y = tx^2 + t^5 x I need to find dy/dx and dy/dt wit...

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Q: 6. Find k such that the line is tangent to the graph of the function f(x) = k/x and y = 2x + 18.

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Q: 1. Describe the graphs of the equation (a) r2 = cos 20 in cylindrical coordinates. %3D (b) p= sec o ...

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Q: Prove that f (x) = -16+x 4 and g(x) = = 4x + 16 are inverses. ||

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Q: Evaluate the following indefinite integral using a table of integrals. Use C for any constant of int...

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Q: 6. Let a be a real number. Consider the series Σ an = cos(nT); 2n +1 an, where n=0 Is it possible to...

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Q: QUESTION 9 The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. ...

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Q: Let 5n + 14n 3n - 5n2 - 23 bn 3n? Calculate the limit. (Give an exact answer. Use symbolic notation ...

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Q: 52 Solve G(x) for the given domain. G(x) = x 2 + 2 G(2x - 1) = _____. 4 x 2 + 3 4 x 2 - 3 4 x 2 ...

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Q: notation. If the interval of convergence is a finite set, enter your answer using set notation.) Nee...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n= 4, c = 7 %3! P4(x) ...

A: Given:       fx=lnx, n=4, c=7   A taylor series is given by               fx=∑k=0nfkck!x-ck here n=4...

Q: How fast is the volume of a sphere changing when the radius is 20 cm if the radius is changing at th...

A: We will find the rate of change of volume of sphere at a given radius. 

Q: b) f(x) = cot-1(x²) %3D

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Q: Given the graph below, evaluate the following limits: y = b Retrieved from:basiccalc_initial_release...

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Q: 1. Determine the following information regarding each function step by step and then sketch its grap...

A: find the attributes of a graph

Q: 22. If y = x+4 then what is 4Y? dx dy a. 4x(x + 4) dy С. dx -4Vx + 8 dx dy b. dx =-4(x + 4)= d. dx 8...

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Q: 5. Let f(x, y) = 3xr² + xy- y. (a) Compute f(1.02, 1.99) exactly. (b) Let f(1.02, 1.99) = f(1+0.02, ...

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Q: T "cos(x²)dxdy? What is the reversed order of integration of 'y a. I T cos(x²)dydx ST"cos(x²)dydx O"...

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Q: Comparison Test: Suppose that > an and) bn are series with positive terms. If n=1 n=1 an = C lim n-o...

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Q: 43 Explain in detail with at least two sentences how to represent the difference of z1 and z2 geome...

A: Given data ÷ Z1=8 - i and Z2=-9 + 2i

Q: Use logarithmic differentiation to find the derivative of the function. X - 5 y = x° + 5 .8

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Q: Find the derivative of the vector function below r(x) = sin²(secx?)i +csc°(Vx² +1] 2 dd fil

A: Given: - The vector function is, r(x)=sin2(secx2) i+csc3x2+1j+8tan(x2) k To find: -The derivative of...

Q: a. Find a particular solution to the nonhomogeneous differential equation y" + 4y' + 5y = 5x + 3e-. ...

A: a) find the particular solution of the differential equation  y"+4y'+5y= 5x+3e-x  b) find the genera...

Q: g(x) = x - 4 and h(x) = x2 + 3

A: Let two functions g(x) and h(x) are given, then their composition (hog)(x) is given by, (hog)(x)= h[...

Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2  

Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :  

Q: Find the equation of the normal line to the curve y = x3+ at (1, 4). O a. y = 4 O b.y = -4 OC.x = -1...

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Q: Find the area of the surface obtained by rotating the curve y = sin about the x axis for 0 < x < 7n ...

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Q: a. What is the horizontal distance between anchor 1 and the base of the antenna? feet Preview b. Wha...

A: Given is the question of Trigonometry.

Q: Find the derivative of the function. -7 а) у — (2t – 3)2

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Q: 1. Find the general solution of (y? – 1) = 4xy2

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Q: sin t (c) y = 1- cost

A: The given function,         y=sin t1-cos t

Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a di...

A: