Evaluate the limit. lim x →∞ 3 - cos(x) x² + x

Q: If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

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Q: Question Find the equation of the horizontal line that contains the point (–9, 1). Provide your…

A: We can find the answer in the below steps.

Q: 7. Assume that f is continuous and differentiable on (-xx, o0). Consider the interval (a, b) where a…

A: Concept Used: Extreme value theorem: A function must possess a maximum and a minimum if it is…

Q: A = -3 0 17 1] 506 803

A: Topic =Matrix

Q: 3. f(x) = tan(sin x²)

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Q: Solve the problem. An object of mass m is dropped from a helicopter. Assuming that air resistance is…

A: Topic = Differential equation

Q: 3. Given the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all…

A: I am attaching image so that you understand each and every step.

Q: 3x³y² +y dy 3y3x2-5x4 dx 2.) + = 0

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Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). K=

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Q: [200] 020 00 02

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Q: 3x² + 3x - 1 6x³ - 17x2 - 4x + 3

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Q: x4+5x+6 x-2x4+5x-6 lim

A: The given limit is a divergent and it does not exists

Q: b. C. x√5x-1 (b) lim x-1 x-3 (c) lim x-4 3x - 12 |x4|

A: From the definition of the limit; The limit limx→afx exists when the left-hand limit and the…

Q: B: Fit a second order polynomials to the data in the following: 5 6 12 X Y 1 4 3 8 4 10 61 13 70 10…

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Q: DO THIS TYPEWRITTEN FOR UPVOTE

A: We can answer the given question in the below steps.

Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

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Q: Find lim h-0 13h+1-1 h √13h+1-1 h lim h-0 (Type an integer or a simplified fraction.)

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Q: A liquid at a temperature of 120°F is placed in a room at 36°F. Its temperature T (in °F) at time t…

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Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 1 @ lim (7² noo + 2 + 20 FABER-CASTELL Sw ☺ com nystarzen Tut 2 + + n- 24

A: as per company guidelines we solve only first question when multiple question being posted

Q: Eliminate A and B from the relation y = Ae²+ Bxe²x

A: We are given  y = Ae2x + Bxe2x      y = (A+Bx) e2x     ... @ we have to eliminate A and B from @…

Q: Exercise 3 nd the order of the following differential equations: a.) y" - 2(y")² = (y'-2y)³ d²y V…

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Q: If the average running speed of an amateur athlete (in miles per hour) after training for t days is…

A: Given Average speed:- ⇒St=0.39lnt+11.3

Q: 2-4 X 3 3.9 3.99 4 4.01 4.1 5 f(x) 9 10.8 10.99 9 11.02 11.1 14 lim f(x) = x-4 Submit Question Jump…

A: Topic:- function

Q: A cup of coffee is removed from a microwave. Its initial temperature is 203 degrees. After exactly 9…

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Q: O x=1 Ox=2 Ox=3 Ox=4 The function h is defined by h(x)=√√4x+1. Where does the slope equal 3

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Q: b. y = 2x² - 1 x + 1

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Q: Use Secant method to find the solution of e-2 – – sin r + 2 = 0 accurate to within 10-5. Take po =…

A: The given equation is e-2x-x-sinx+2=0 and initial conditions are:p0=0.5 ,p1=1.0 The formula of…

Q: MULTIPLE CHOICE 1. Let f(x) = x² + 2x - 5. What is the x-coordinate of a point where the…

A: Let fx=x3+2x-5. To determine the x‐coordinate of a point where the instantaneous rate of change of f…

Q: (2a²r²)dr = r³ sin 0 de, when 0 = 0, r = a

A: As we know that; The differential equation Mdr+Ndθ=0 is said to be exact, if ∂M∂θ=∂N∂r. Then the…

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A: Given ,the representation of even number is 2k, and that for odd is 2k-1 or 2k+1,for some integer k.

Q: f(x, y) S (y + 2x²)² x² + y² 0 lim Show that (x,y) (0,0) si (x, y) = (0,0) si (x, y) = (0,0). f (x,…

A: Given function : f(x,y)=(y+2x2)2x4+y2    for (x,y)≠(0,0)0                    for (x,y)=(0,0)

Q: Find the equation of the plane that passes through the points (1, 0, -1), (0, 2, 3), and (0, 0, 5)…

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Q: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

A: Find the instantaneous rate of change of the function f(x) = x3 + 8x when x = –3

Q: The graph below is the function f(x) -5-4 2 03 Find lim 24-1- Find lim z→-1+ da 14 Find lim 24-1 23…

A: According to the graph

Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 100

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

Q: Problem 4: Find lim 818 1 -2.3 + 1 2.3.4 + ... + 1 2.(n+1).(n+2),

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Q: Solve I need a clear answer by hand, not by keyboard | dybala (b) (x2+x-y²) dx - y dy <= 0

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Q: DIRECTIONS: Write down a differential equation of the form dy/dt =ay +b whose solutions have the…

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Q: 2. Find lim (3x° + V9x6 − 2x3) 第→○ 2

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Q: Let f(x)= = [mx m = - 11 if x < -10 - - 10 x² + 4x 1 if x 2 If f(x) is a function which is…

A: Since the function is continuous everywhere, the value of f(x) at x&lt;-10 is the same as x&gt;=-10…

Q: -5 -5-4-3-2-1 5 45

A: Need to write down the value of f(1) from the graph of the given function.

Q: Find General Solutions for the following Differential Equations (Use Differential Operators).…

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Q: Use the properties of limits to help decide whether each limit exits. If a limit exists, find its…

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

Q: dy dx = 4x+xy² y-x²y

A: Topic:- differential equations

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point…

A: Given fx, y, z=xy+yz+zx Point P0=1, -1, 2 Equation of the line is x-310=y-211=1-z2

Q: (b) xy' - 4y = x, (c

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Q: Find the solution of the differential equation y" - xy + y = 0 a. y = x² b. y = x c. y = 1-x² d. y =…

A: Here we have to find the solution of differential equation.

Q: 2. Find the limit if it exist of the following: x² - 2x a. (a) lim x2 3x2 10x +8

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