Write an inequality to describe the region. The solid cylinder that lies on it between the plane z=5 and on or above the disk in the cycle-place with center the origin and radius 2.

Q: Differentiate. y' = y = 2x 7 - tan(x)

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Q: Given the function y z²+z+1.5, determine the area under the curve from the y-axis to the point where…

A: Given Function

Q: (3) Let R(x) = 2 +3- (c) Evaluate the function when x = -6, -5, -4.5, -3, -0.5, 1.5, 4, 6;

A: To evaluate the function at given values of x

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A: The given function is y=sqrt(x)3xFind y'.

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A: length of the vector

Q: Sa. [x. √x² + 9 da: This can be transformed into a basic integral by letting Consider the indefinite…

A: Given indefinite integral is                                    .....(1)

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Q: Consider the following function. 40 + 6e¯X + 9e2x + 30e-3x 8 + 2e + 6e-³x Find the horizontal…

A: The given function is

Q: Find y as a function of if y(0) = 18, y'(0) = 28, y'(0) = 21. y(x) = y"-9y" + 20y = 24e,

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Q: Calculate the following limit: lim x → 1 14 x³ +9.x²-9-x-14 4.x²+x-5

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Q: (1) dz log (in z) 4².

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Q: need help

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Q: The equation of motion of a particle is s=²³-12t, where s is measured in meters and this in seconds.…

A: The equation of motion of a particle is , where  is measured in meters and  is in seconds. (Assume…

Q: Find y as a function of a if y (0) = 2, y'(0) = 9, y'(0) = 4. y" - 5y" +6y= 0,

A: y′′′−5y′′+6y′=0,y(0)=2,y′(0)=9,y′′(0)=4

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Q: 1) On which derivative rule is the method of integration by parts based? (product rule, quotient…

A: Given the different formulation forintegration-by parts.

Q: 4. Explain in your own words what is meant by the equation: lim f(x) = 5 x→2 Is it possible for this…

A: Given:

Q: √(-1-x); (4) Let g(x) = { x²; 3x - 5; if x 2. A (c) State the domain and range

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Q: Solve the equation and inequalities. (a) f(x)=0 (b) f(x) > 0 (c) f(x) < 0 Q

A: In this question, we will solve the equation and its inequalities by using the graph.

Q: -10 O the function. f(x) = x2 - 4x -5 15 10 5 -51 -10 -15 5 10 X -10 15 10 1 5 -5 -10 -15 -5 10 X…

A: (a) To graph the function .(b) To determine the interval(s) for which .

Q: 12. What type of discontinuity does the function f(x) = x²+x-6 x²-x-2 has at a=2?

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Q: 2 V b) Use the derivative (not the graphing calculator) to find all points on the graph where the…

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A: The given integral is 1/sqrt(x+2).

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Q: as calorie Kleiber's Law states that the metabolic needs (such

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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 the distance (d) between the planes 2x d = 24 and 2x Z -17.

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Q: -4 -2 G

A: Continuous and differential functions .

Q: Q2: A particle move on the path has parabola shape with equationf(x) = a + bx + cx²; Find the…

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Q: Test the series below for convergence using the root test. n=1 10n 5n+ 2 n The limit of the root…

A: Solution is following in explanation step.

Q: Evaluate the limit: - 7x - 21 lim x-3 x² - x - 12 =

A:

Q: Using the given graph, approximate the area under the curve from x = 3 to x = 6 using 3 subdivisions…

A: Find the area of the given graph using left endpoint

Q: Find the limit. (If the limit is infinite, enter '00" or "-00', as appropriate. 9-e* lim x-*9+7e*

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Q: With the method of trig-sub, answer the following questions (there is no integral to be solved): 9.…

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Q: Find the absolute maximum and absolute minimum values off on the given interval. F(x)=In(x2 + 3x +…

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Q: Find the value(s) of k such that the function is continuous at x = -1. (Enter your answers Sin (2x +…

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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: Differentiate the function. y = ex +4+3 y' = et+4+3 X

A: The Sum/Difference Rule:The Power Rule:The Chain Rule:And use the common deriavtive:

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A: consider the given function.

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A: The position of the cyclist is given as below,We have to find the instantaneous velocity at t=3…

Q: Q1: A: Find the maximum and minimum, if any, of the function f(x) = 4x³ - 18x² +27x-7

A: The given function

Q: Solve the initial value problem. dy y dx X — 8xex, y(1) = 8e-1

A: Solve the initial value problem.dydx−yx=8xex,y(1)=8e−1

Q: Let f(x) Determine lim x 57 S 4 (2x the following: 7 f(x) lim x → 5+ Can be found, lim_ f(x) = [ x →…

A: f(x)=

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 5xex…

A: Here we have  .......................... (1)

Q: 8 -7 -6-5 50 46 f(x) 54 -4 -3 44 42 38 -2 −1 0 1 2 34 32 29 27

A:

Q: (b) In x² 16 X > 4

A: Given

Q: -8 g(x) -6 -5 5 U -1 3 0 2 1 3 5 5 00 8 6

A: x-8-5-10158g(x)-6532356