Find y' and y". y = √x In(x)

Q: An object moves in such a way that its velocity (in m/s) after time t (in seconds) is given by:…

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Q: Find the point at which the line intersects the given plane. x = 3-t, y = 5 + t, z = 5t; x-y + 2z =…

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Q: Calculate (-5-x³-9.x²-3•x) dx -9.x The solution to any indefinite integral of the type given above…

A: formula used

Q: Describe the given set with a single equation or with a pair of equations. The circle of radius 7…

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Q: You are given the dollar value of a product in 2016 and the rate at which the value of the product…

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Q: Use continuity to evaluate the limit. lim x√ 29-x²

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Q: Suppose that f is a function given as ƒ(x) = = Simplify the expression f(x + h). f(x + h) = Simplify…

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Q: Without a calculator, identify the given key features of the polynomial and sketch a possible graph…

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Q: 3. Find the indicated limits. Exact values are required, not approximations. Be sure that your…

A: In this question, we will find the limits of the given functions.

Q: f(x) from x=−3 to x=2. Average rate of change

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Q: 1. Given the functions f, g, h and f(x) g(x) B-KL write "DNE". (a) lim f(x) x-2- (d) lim g(x) x→2-…

A: Note: As per our guidelines we are supposed to answer only 3 sub-parts If there are multiple…

Q: Find the area of the shaded region. y = x^3-15, y = x, (4,4), (-4,-4)

A: we have curve in which intersection of line and curve are

Q: Find the lim √x+3x²

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Q: Find the critical point(s) of the function f(x, y) = 3x¹ + 3y¹ – xy. The critical point that lies in…

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Q: Arrange the table of Basic Rules of Integration in the correct order. [x" dx = In|x| + C fex dx =…

A: We need to arrange the table of basic rules in integration.

Q: S (cot(x)) ² (csc (x)) ³a 2 3 dx

A: formula used ...

Q: (Sin (A) + Cos (A)) ² sin (A) 2 Then i Soi 2 Sin (A) Cos (A) Cos (A)² Sin (A)² + Cos (A)² = I 1+2…

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Q: y = x³, y = 0, X = 1, X = 4

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Q: Determine all intervals on which the graph of f is increasing. -8 7 -6 -5 -4 3-2-1 5 4 3 2 -1 -2 -4…

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Q: Poiseuille's Law gives the rate of flow, R, of a gas through a cylindrical pipe in terms of the…

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Q: The displacement (in centimeters) of a particle s moving back and forth along a straight line is…

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Q: 15. f(x) = x4 + 4x² - 32 16. f(x) = x³ + 3x² - 5x - 15

A: Given two polynomials.

Q: Use the divergence theorem to calculate the flux of F = (x - y)i + (y − 5z)j + (z − 7x)k out of the…

A: F=(x−y)i+(y−5z)j+(z−7x)k out of the unit sphere.

Q: Find the functions and their domains. (Enter the domains in interval notation.) g(x) = x + 14 X + 2…

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Q: Let f(x) = 14 if -1 Determine the following: lim f(x) 2-1 Can be found, lim f(x) = 2-17 Does Not…

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Q: (5) Given f(x) = 3*, g(x) = log3 x, h(x) = 2-log3 (x - 1), sketch their graphs on the same ry-plar…

A: The given functions are

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator…

A: y=5x2+x−1x2+x−6

Q: Find fo go h. f(x) = √√x-3, g(x) = x², h(x) = x³ + 4

A: f(x)=x−3,g(x)=x2,h(x)=x3+4

Q: A graphing calculator is recommended. Let f(x) = sec(x) - x. (a) Find f'(x). f'(x) =

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Q: 10. A sandwich shop charges $7 for a foot-long sandwich with one protein and unlimited veggies. You…

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Q: Find a plane containing the line (t) = +t and orthogonal to the plane 4 - 8u - 22 - 2. 821 =

A: Line

Q: Part a) Use the graph of f(z) to find a number & that guarantees |f(z) - 51 < 0.5 whenever |z-3|< 6.…

A: First, the definition of epsilon delta is÷Now, using the graph

Q: A piecewise function f is defined below. 2-4 I-2 a = f(x) = ax2-bx+2 4x - a+b 4 ≤ x Find the values…

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Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. lim √x+ 2x² 9x1…

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Q: When writing the solutions for limit problems (and problems in general), we want to communicate our…

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Q: Obtain the general solution to the equation. (x² +9) dy dx + xy-7x=0

A: Given

Q: Problems 20-23, Determine whether each function is even, odd, or neither. 20. f(x) = x² - 2x4 21.…

A: Given,

Q: 19. Use the graph of f in the figure to do the following. a. Find the values of x in (-2, 2) at…

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Q: =) The population of the world in 1995 was about 5.7 billion, and the estimated relative growth rate…

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Q: Let f(x) = Determine the following: lim f(x) x →4 Can be found, lim___ƒ(x) = x →4¯ lim x→ 4+ 2 x -…

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Q: Example 6 Video Example Find the points on the curve y = x4 - 14x² + 9 where the tangent line is…

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Q: ddy if y= (x² + 4x)² dx Simplify completely. Do not multiply out any binomials raised to more than…

A: y=Rules(i) (ii)  (iii)

Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

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Q: (2) Let f(x) = -3 sin(x+2). (c) And then determine the domain and range of f(x).

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Q: Show that the curve of y=9e + 5x + 4x³ has no tangent line with slope 4.

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 18 if B(18) = 0 and B'(18) = -…

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Q: Use the definition of continuity and the properties of limits to show that the function is…

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Q: 1. An object is thrown into the air, and t seconds later its height is h= f(t)=-4.9t² +14.7t meters.…

A: The height of object thrown in air is  meters As we know The average rate of change of function f(x)…

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

A: The graphs f and g are given. Here we have to find the given limits by using the given two graphs.