1. Solve the following differential equations. a) = (y - 1)(y + 2) dy dx

Q: Use a computer algebra system to find u x v and a unit vector orthogonal to u and v. u = 4k v = 5.5i…

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Q: do question d and E

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Q: The two curves below describe the numbers of people in two countries at time t, in years. Answer…

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Q: Solve the following differential equations. a) dy dx (y - 1)(y + 2) dy sinx b) dx y c) y' = √√y d)…

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Q: Determine the wronskian of the given set of functions and determine whether they are linearly…

A: given

Q: Find the indefinite integral. 9² 9-11 á -dq

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Q: Find the domain of the function f(x) ○ {x|x 9} ○ {x\ x # 9} 7 x - 9

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Q: Please recalculate the s and t bounds. They are incorrect

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Q: Find the derivative of the function and evaluate the derivative at the given​ x-value.

A: The objective of this question is to find the derivative of the function f(x) = 2x²+x-3 and then…

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: Let C be the positively oriented square with vertices (0, 0), (1, 0), (1, 1), (0, 1). Use Green's…

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Q: ​b) Complete the following table.

A: The objective of the question is to find the simplified form of the difference quotient for the…

Q: SOLVE THE FOLLOWING PROBLEMS AND SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UNDERSTANDING. 2.. Solve…

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Q: Let f(t) be the population (in thousands of people) of Math City, as a function the time t (in…

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Q: 5) (5) 6. Solve the equation. (a) (5x + 2)² - 9 = 40 bc -3 -1 (6) χ2 - 3x 11 1

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Q: solve it in 4 steps

A: A container with square base, vertical sides, and open top is to be made from1000 ft2 of material.…

Q: The equation of a curve be written in the form y = a(x-p)(x-a). The curve intersects the x-axis at…

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Q: Find an equation of the line that contains the given pair of points. (-9,5), (-7,-7) The equation of…

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Q: Solve the following differential equation with the given initial condition y = 1²e-3y, y(0) = 2.

A: given differential equation

Q: form into one log expression:  log4(64 x √644) + log4(46 + 43 / √256)2

A: To form one log expression.

Q: Find f′(x) for the given function.   ​f(x)=5x2

A: The objective of the question is to find the derivative of the function f(x) = 5x^2. The derivative…

Q: 2. f(x) = 4x³ + 2 tanx What is f'(x)? D O 12 x² + 2 sec ² x O 12x² - 2 cotx O 12 x² + 2 cotx

A: Given,.We know that,

Q: Example 33 Suppose H= {cat, dog, rabbit, mouse}, F= {dog, cow, duck, pig, rabbit), and W= {duck,…

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Q: Find y' if y = sin² (5+7)

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Q: Let f(x) = (x+4)² Find a domain on which f is one-to-one and non-decreasing. Find the inverse of f…

A: Given function f(x) =(x+4)^2

Q: 1 What is the instantaneous rate of change of y = - at x = 2? t 옆 4 | 2 2 none of these ㅎ 3 0 -1

A: given

Q: b. y = 3x²3,-2 ≤ x ≤ 2 2

A: Given: ²y=f(x)=3x²−3,−2≤x≤2²f(x)=3x²−3The closed interval is [−2,2]The graph of given function f(x)…

Q: (d) What are the domain and range of the function y = 2ƒ(x)? (Use symbolic notation and fractions…

A: The function  has a domain  and a range .The aim is to find the domain and range of

Q: Solve the system below. -X + 3y + 2z -3x + 9y + 6z -7x + 21y + 13z The particular solution is: X 6…

A: The given system of equations

Q: A boat is pulled into a dock by means of a rope attached to a pulley on the dock (see the…

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Q: Find the Solution of the following differential equation 3Y"+Y-14y = 2 ex

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Q: The graph shows the number of trips taken annually on a certain​ state's mass transportation system.…

A: The objective of this question is to find the average rate of change of the number of trips taken…

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

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Q: What is the Inverse Laplace Transformation of this equation? 9 s²4

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Q: (a) Find a simplified form of the difference quotient and (b) complete the following table.…

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Q: A graph of y = f(x) is shown and a c-value is given. Use the graph to find the following, whenever…

A: The objective of this question is to understand the concept of limits in calculus and how to…

Q: Find the general solution of the following differential equation. Primes denote derivatives with…

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Q: Ex. sin(x) cos(x). dhe = ? O

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Q: 3. The region bounded by the parabola y = x² and the line y = 2x in the first quadrant is revolved…

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Q: The table below gives the annual sales (in millions) of a product. 1998 1999 2000 2001 2002 2003…

A: The objective of this question is to calculate the average rate of change of annual sales between…

Q: Solve the following problems and show your complete solutions. Explain your answers for better…

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Q: A rectangular swimming pool is 44 ft wide by 75 ft long. The table gives depths (d) from x = 0 at…

A: Given:A rectangular swimming pool is 44 ft wide by 75 ft long.To find:use the Trapezoidal Rule with…

Q: 3. The region bounded by the parabola y = x² and the line y = 2x in the first quadrant is revolved…

A: The given curves are:

Q: Select all of the following tables which represent y as a function of x and are one-to-one. X 1 Y 5…

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Q: Find the surface area of that part of the plane 9x +3y + z =3 that lies inside the elliptic cylinder…

A: To findThe surface area of that part of the plane  that lies inside the elliptic cylinder The…

Q: Exercises 1: Find dy of the function y = sin-¹x² dx

A: We are authorized to answer one question at a time,so we are answering the first one, Please repost…

Q: Suppose that f and g are both odd. Which of the following functions are even? y = f(x) 12g(x) y =…

A: Since we are given with the multiple numbers of questions and answer will be according to the…

Q: The quantity demanded of a certain model of a VCR is 8000 units when the unit price is $260. As the…

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Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

A: Given,

Q: Use the graph below to fill in the missing values. -1 4 3 2 1 f(0) = f(x) 2 f(x)=0, x= ƒ-¹(0) = ƒ…

A: A graph of the line is given.The aim is to find the following values,