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Q: Given the function f'(x) = (x + 1)² (x − 8)(x - 1)2, what conclusion can be drawn directly - from…

A: First we find the zeros of f'(x) which are critical points of f(x) which will help us to determine…

Q: Determine whether the function is continuous over the interval ​(negative 6−6​,66​)?…

A: The objective of the question is to determine whether the function, as described by the given points…

Q: The graph of a function f is shown below. Find one value of x for which f(x)=4 and find ƒ (2). = 4:…

A: From the given graph, need to find a) one value of for which f(x)=4b) And find value of f(2)

Q: For all x > 1, if ƒ (x) = fï ½ dt, then ƒ¹ (x) = = ○ In(x - 1) о ех x 01

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Q: Find the indicated partial derivatives. a³w дz?удх а3w 0x2ay W у + 72

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Q: Consider the function below: 64 T (-1,4) (-1.9,3.0) -3 -2 -1 0 -2- 2 3 4 (0.6,-1.2) 5 Is the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the local and absolute extreme values of the function f(x) = x + sin (2x) on the interval [0,…

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Q: ƒ(x) = 1 – 4 x-4 Plot Rational Function Vertical Asymptote Horizontal Asymptote x-Intercept…

A: To plot the  following rational function.

Q: 1. Find the following limits 1-x a) lim x-3 (x-3)²

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Q: 21/ Find the derivatives for the following. y = (lnx)5 a = tan 270 @e x² Inx y = et 1 4 ** 16 + ln x…

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Q: Find a function f and a positive number a such that S² - dt = 5x-², f(t) t6 a f(x) = a = 2+ x>0

A: To find a function  and a positive number  such that,

Q: Use the equations to find дz ?х дz ду " дz ?х ?z ?х OF ax and OF дz and дz ду дz ду 7yz + 8x In(y) =…

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Q: Differentiate the function. g'(x) = g(x) = = | 1 (2x3 + 5x + 3)3/4 (20 می (6 - 3) - (5 6x3)

A: The given function is, Our task is to differentiate the function.To solve this we simply use the…

Q: Estimate the instantaneous rate of change of P(x) = = 3 x + 2 at the point x = −3

A: Given,

Q: Given y = x³ - 2x for x ≥ 0, find the equation of the tangent line to y where the absolute value of…

A: Given , to find the equation of the tangent line to y wherethe absolute value of the slope is…

Q: Find the area of the parallelogram with vertices (5,4), (9, 7), (14, 9), and (18, 12). Answer:

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Q: √ (2 + In x)³ x -dx

A: Given,

Q: Find the equation of the following lines in the required form: a. b. C. d. through the points P(1,…

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Q: Find the tangent X = 3t² + t Y = 4+³ 3 line t = 1 to the curve

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Q: Skew lines are lines that are not parallel, yet do not intersect, as shown in the diagram below.…

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Q: 1 Let R be the region bounded by the graphs of the function f(x) = x²-64 x = p and x =q, where a <p…

A: Given that the region R by the graphs of function  ,the x-axis and the lines  and , where

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

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Q: Find V × F, where F = -Ve-VR, where V = aî+by+ cz is a constant vector and R = xâ + yŷ + zê is the…

A: Given  where  is a constant vector and

Q: Evaluate the integral use J A X - 3 x³ + Bx + D x² +1. 43x + 1 3x² + x- dx 3 43x + 1 x³ = 3x² + x -…

A: The given problem is to evaluate the integral of a function. The function is a sum of two integrals…

Q: The graph shown represents the history of a person learning the material on limits and continuity.…

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Q: The radius of a cylinder is decreasing at a constant rate of 8 meters per minute. The volume remains…

A: The radius of a cylinder is decreasing at a constant rate of 8 meters per minute. The volume remains…

Q: = 4 and the planes y + z = 4 and Find the volume of the solid bounded by the cylinder x² + y² z = 0.

A: Cylinder:Planes:y+z=4z=0

Q: A rock will drop into a deep hole and d(x) = 16x2 feet in x seconds. - How far into the hole will…

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Q: 1 The functions y = 0 and y (C a constant) are solutions to the differential equation y'=-y. Use…

A: Given that  and  are the solution of differentail equation

Q: Determine the absolute minimum value of the function f, shown below, on the interval [-9, 9]. -10 -9…

A: To determine the absolute minimum value of the following function  on the interval .

Q: For the function y = X² + 7 X + 19 (a) the slope of the tangent line 0.26465028 Need Help? at (4,…

A: The given function is y=(x2+7)/(x+19), (4,1)

Q: B: Find the derivative of each of the following function a) x² xy = cos y b) y = √/1-sin³ (5x)) - c)…

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Q: e) lim x-0 sin 3x cot 5y x cot 4x

A: All the given limits have been marked except " e " . So we solve question "e" .

Q: Use the graph of the derivative f' of a continuous function f on the interval (0,9). (a) On what…

A: Given: To Find: (e) To determine interval(s) where  is concave upward.(f) To determine interval(s)…

Q: If u, vand w are mutually perpendicular vectors, which of the following would not be true? O a) v (u…

A:

Q: If F(x) = √²-9 dt, then F'(5) = A) C) -5 B)-4 D) 4

A: The given function .The aim is to find the value of .

Q: Let f(x) = -9- Complete the tables below. Round all table values to four decimal places, if…

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Q: 4. On what interval(s) of x is f(x) decreasing?    5.On what interval(s) of x is f concave up?…

A: The function is decreasing when the value of f(x) decreases with the increase in the value of x.This…

Q: The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are…

A: Given: The graph of a rational function f is shown below.To Find: (a) To write the equations for all…

Q: lim (-x.In(x)) X+0+

A: According to latest Bartleby guidelines, we can solve only first question from the multiple…

Q: Sketch the region enclosed by the graphs of the given functions. Determine whether it is more…

A: Given that the region is bounded by curves

Q: Please solve the following calc problem

A: The objective of this question is to find the relative minima and maxima, inflection points, and…

Q: Find the angle between the vectors ⃗a = ⟨3, −1, 5⟩ and ⃗b = ⟨−2, 4, 3⟩.

A: The objective of this question is to find the angle between two vectors a and b. The vectors are…

Q: =) F(x)=x+2|-|x-41 b) f(x)=√x³-1.5+2 a) c) f(x) = (x- 3)-³3/2_ (x-3)3/2

A: The function is not differentiable at sharp points. In the case of a sharp point, the limit from the…

Q: Evaluate the limit If the limit does not exist enter DNE. Limit= 11x²5x - 9 lim -∞ 3-11x - 7x²

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Q: 2. A manufacturer wants to design an open box having a square base and a surface area of 104 square…

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Q: Evaluate the integral and interpret it as the area of a region -π/2 0 12 sin(x) - 2 cos(2x) dx

A: The given integral

Q: Let a curve be defined as siny = x + y. Determine which of the following statement(s) is/are true.…

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Q: Question 6 Determine the area of the region in the first quadrant enclosed by the graphs of x = y²…

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Q: Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.

A: To find a positive number for which the sum of it and its reciprocal is the smallest (least)…