17. Find the limit. x+5 lim 2 x-5x + 6x + 5 x+5 lim 2 X-5x + 6x +5 (Type an integer or a simplified fraction.)

Q: A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the…

A: NOTE: Refresh your page if you can't see any equations. .   (height is increasing at a rate of 2…

Q: (a) Using a graphing utility, graph f1x2 = x3 - 9x for- 4 ... x ... 4.(b) Find the x-intercepts of…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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Q: A coroner arrives at a murder scene at 7 p.m. She finds the temperature of the body to be 84 3°F.…

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Q: (Question-Solution-Final Answer-Conclusion format) B. Generate differential equation by elimination…

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Q: eliminate  the arbitrary constant a and b: y= a+be^x

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Q: 7. Use the integral test to determine the convergence of the following series: ∞ n=2 n ln n น

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Q: Given the following functions: f(u)=u^5/2 and g(x)=x^6+1. Find f(g(x))= f′(u)= f′(g(x))= g′(x)=…

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Q: Find the relative extrema of f(x)=32x² - 4x². Find the absolute maximum and absolute minimum of the…

A: solution is given below..

Q: If f(x) = sin² x, find ƒ'(x). sin (2x) Find f'(4).

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Q: Let f(x) = sin(x)cos(x). ƒ'(x) = 4 Write the equation for the line tangent to f(x) at the point x =…

A: We have to find the equation of tangent line

Q: A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a…

A: Given data, n=40 r=8

Q: Evaluate the definite integral leaving the answer in an EXACT form (no decimals): 5₁²¹0 dx

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Q: Use polar coordinates to find the volume of the given solid. V = Below the paraboloid z = 1 - x² -…

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Q: ach of the following questions, find the error(s). Then, write out the correct response Given…

A: Given query is to find the composite function.

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) B.…

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Q: 1. Separation of variables/ a. xy³ dx + (y + 1)e *dy = 0

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Q: Calculate the slope of the line that passes through (-11, -6) and (1, -4). O - 1 O -16 1 O 6

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Q: Let F(x) = f(x¹) and G(x) = (f(x))¹. 3 You also know that a³ = 10, ƒ(a) = 2, ƒ'(a) = 6, ƒ'(aª) = 4…

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Q: For the piecewise linear function f(x) graphed below, find the following. (If an answer does not…

A: Condition for existence of limit at x=a⇒limx→a-fx=⇒limx→a+fx=⇒limx→afx

Q: Find the equation of the plane that passes through the point (2, 1, -3) and is tangent to the…

A: Given,             x2+4y3+3z2=35 ⇒x2+4y3+3z2-35=0

Q: graph each function using the techniques of shifting, compressing or stretching, and reflections.…

A: Given, hx=2x-1

Q: These are the following jokes about books:. “Outside of a dog, a book is man’s best friend. Inside…

A: Given data  Six jokes about books.

Q: Compute f' and find an equation of the tangent line to the graph at x = a. f(x) = 9x-³, a = 5. (Use…

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Q: You are dealt one card from a standard 52-card deck. Find the probability of being dealt a heart.

A: Given: Total number of cards = 52 Formula used: Probability = Number of favourableNumber of outcome

Q: 2. For the function f(t) graphed here, find the following limits or explain why they do not exist.…

A: Given the graph of a function

Q: In 2004, an art collector paid $172,536,000 for a particular painting. The same painting sold for…

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Q: lim asin x→0 | cr x

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Q: An object is launched directly in the air at a speed of 48 feet per second from a platform located 4…

A: The position of the object can be modeled using the function ft=-16t2+48t+4, where t is the time in…

Q: 3 x² + y² the direction of (-3, −3). Then, Suppose f(x, y) (a) ▼ f(x, y) (b) ▼ ƒ(1,4) = = = (c) fu…

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Q: 6 5 4 3 نا 2 1 ¦ y = f(x) 01 2 3 Enter each answer as a whole number or a fraction, or DNE for Does…

A: The graph of the function is To evaluate: The values of limx→3+fx-4fx+4, limx→3-ffx+4 and…

Q: The number of ways to pick a winner and first runner-up in a talent contest with 20 contestants is…

A: given statement is: The number of ways to pick a winner and first runner-up in a talent contest with…

Q: y-values 6 8 7 6 5 4 32 1 If f(x) = f'(1) = g(x) h(x) ' g(x) 2 3 x-values then 4 Out y-values S 4 3…

A: To find the derivative of f(x) at x=1.

Q: 2) The total cost in dollars of producing x lawn mowers is given by C(x) = 4,000+ 90x- -. Find the…

A: Given query is to find marginal average cost.

Q: Use the formula for nPr to solve:A corporation has ten members on its board of directors.In how many…

A: Given: n = 10 r = 4 Formula Used: Prn = n!(n-r)!

Q: . Determine an equation of the tangent line to the function y=lnx at x = e². Sketch a graph of the…

A: Explanation of the answer is as follows

Q: Use the Fundamental Counting Principle to solve:In the original plan for area codes in 1945, the…

A: Given data:- The first digit could be any number from 2 through 9 The second digit was either 0 or 1…

Q: Find the particular solution of each of the following. (4+sine)y'=e*(6soc² e* - ycose); y(ln x) =…

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Q: Find the average rate of change of f1x2 = 8x2 - x:(a) From 1 to 2 (b) From 0 to 1 (c) From 2 to 4

A: Given: Given expression: f(x) = 8x2-x Formula Used: The Average rate of change ARC = f(b)-f(a)b-a

Q: 3x² x² +2 Find the critical values of f(x)=·

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Q: 11 Find the derivative of f(x) = -15sinx + +3√√x-5. X

A: Given function:- fx=-15sinx+11x4+3x7-5

Q: . For what values of r does the function y = er* satisfy the differential equation y" - 4y' + y = 0?

A: Please see the below picture for detailed solution.

Q: 55. Differentiate each trigonometric identity to obtain a new (or familiar) identity. sin x cos x…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Integrate [8³e³ 13 ft³e est dt t³ est dt. =

A: The solution to find the integral  of given integration is as follow.

Q: 28. Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be…

A: Given query is to find marginal profit at indicated point.

Q: Find the exact length of the curve. 1 y² = 16(x + 1)³, 0≤x≤ 3, y>0 109/109 (217 217 (21717 X

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Q: Find the directional derivative of the function f(x, y, z) = √xyz at the point (3, 2, 6) in the…

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Q: Select all of the following graphs which are one-to-one functions. 0 0 Ay 1-4 -3 A -2 -3 -5 -4 -3 -2…

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Q: implicit differentiation to find ∂z/∂x and ∂z/∂y if 3x^2+4y^2+2z^2=5   ∂z/∂x=________________…

A: Given query is to find indicated partial derivatives.

Q: Find an equation of the tangent line to the curve y=4^x at the point (1,4)  Tangent line: y=

A: