Solve and graph. Express answers in both inequality and interval notation.

Q: int (7)/((x+a)(x+b))dx  Evaluate the integral. (Assume  a ≠ b.  Remember to use absolute values…

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Q: Suppose we have a function defined by f(x)={2for x>1,xfor x≤1. What is the value of f(1) ?

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Q: (b) lim Y-0 1- cos y Y = 0

A: Our Aim is to evaluate the limit of the expression given below and proof it equal to…

Q: The line tangent to the graph of y=x3 at the point where x=0.2 crosses the x-axis at the point…

A: We have given equation of the curve  y=x3 Put x=0.2 y=0.23 y=0.008 Say,  x1,y1=0.2,0.008…

Q: 3. Using limits, find an equation of the line tangent to the function g(x): = 4 4 at x = -2.

A: By using limits, to find an equation of the line tangent to the function gx=4x2 at x=-2.

Q: 4. lim_ x² (1 - e¹/²) using l'hopital

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Q: Find and simplify each of the following for f(x) = 7x-9. (A) f(x + h) (B) f(x+h)-f(x) f(x+h)-f(x)…

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Q: The number of bacteria in a culture is modeled by where t is in hours. (a) The initial number of…

A: The number of bacteria in a culture is modeled by nt=1750e0.39t. We have to find the required…

Q: In AABC, side a=23, side b= 12, and m<A=20°. What is m<B to the nearest degree?

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Q: Find the distance from the point (-2, -2, 2) to the plane 3x−5y+5z=9.

A: given point is  (-2,-2,2)  plane is  3x-5y+5z=9standard form of plane is  ax0+by0+cz0+d=0formula for…

Q: The conversion factor used to convert 55.6 km to miles is ► View Available Hint(s) O 1 km 1.61 miles…

A: Given query is to find the conversion factor.

Q: I can not see the whole answer

A: Given,            Your college newspaper, The Collegiate Investgator, has fixed production cost of…

Q: Consider the position function s(t) = 16t+112t representing the position of an object moving…

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Q: Find an equation involving g, h, and k that makes the linear system corresponding to this augmented…

A: Follow the procedure given below.

Q: The relationship between the distance of an object, d, and image distance, 1, both in centimetres,…

A: Given that d=3.0 II-3.0

Q: Distance From Water (ft.) 0 T √ 4 8 8 X 12 Time (sec.) Here is the graph for a new turtle. Use the…

A: Graph for a new turtle is given.

Q: 4 3 T -2 -1 √ 3- 2- 1 0 -1- -2- -3- -4. 7 2 3 O 4 Continuous ? Are any of the statement true? Use…

A: To find whether given function is continuous at x=3 or not.

Q: Suppose the binomial expansion of (5x + 4y)" includes the term 1400000x¹y³. 4,3 The xy³ term in the…

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Q: Find the area of the shaded region. f(x) = -x³ + x² + 16x 3) g(x) = 4x (-3,-12) 30+ 20 10- -20- -30-…

A: Given curves equations:- fx=-x3+x2+16x , gx=4x

Q: F(x) = 5x²-x+2 f(a+i)=

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Q: Use the given graph of f to find a number & such that if |x-1| < 8 then |f(x) - 1| < 0.2. 8 = y 1.2…

A: We need to find delta.

Q: Determine whether the following sequences converge or diverge. Answer "Converges" or "Diverges." nh…

A: Explanation of the answer is as follows

Q: y = f(x) -10-9-8-7-6-5 4 10 9 8 94 20 -6 -9 1 Evaluate: g(f(8)) 3 45678910 y = g(x) -10-9- 10 9 1 10…

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Q: 2 A nurse practitioner prepares an injection of promethazine, an antihistamine used to treat…

A: Given query is to find the amount of mm solution required.

Q: Suppose that the number P(t) of bacteria in a culture after t days is given by the formula P(t) = 95…

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Q: To set up our curve in Mathematica, run the following: R=5; r[t_]:={R*Cos [t], R*Sin[t], t} (We…

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Q: consider a function f, defined by f(x,y) = -y/√x2+y2   what is the behavior of f along the line…

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Q: # 8-12 Identify the domain and range of the function. Describe the transformation from its parent…

A: To identify the domain and range of the function. To describe the transformation  form its parent…

Q: The first-order differential equation y = y(1-y) ¶ has a stable equilibrium at y=0. has an unstable…

A: For the autonomus differential equation dydt=f(y)we say that equilibrium solution y0 isStable if all…

Q: r the following equation, determine the values of the missing entries. Reduce all fractions to…

A: We will find the required.

Q: For what value of the constant c is the function f(x) continuous on the interval (-∞, ∞) where 4c -…

A: Give query is to find the value of c.

Q: The (blue) graph of an invertible function, f(x), is given. Drag the (green) points from the top…

A: We need to find the inverse function of the function.

Q: Q1. Use numerical evidence to evaluate lim (-2x + 5) based on the table given. X 0 5 .9 .99 1.01 1.1…

A: The answer is in step 2.

Q: Implicit

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Q: 3. Evaluate lim sin.x 00++x X 4. Evaluate lim √xecos (²7) +0<x

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Q: f(x)=-4 3- 2- -3- Watch the values of f(x) as the x value changes. 5 What y-value is f(x) getting…

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Q: In Exercises 7-16, evaluate the limit. X x → ∞ x + 9 7. lim 8. lim x →∞ 3x² + 20x x →∞ 2x² + 3x³ -…

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Q: The base of the solid is a square, one of whose sides is the interval [0, 2] along the the x-axis.…

A: volume = length×width×height given  f(x)=5x2given base of solid is square and one of whose side is…

Q: Yo... e/17507580/graphRationalFunction C Survey Reveals Stu... Louis XIII of France.... C deborahs…

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Q: Level 2: 2. Determine if APQR is an acute, obtuse, or right triangle. Give a reason for your answer.…

A: Given:

Q: Find the limit. 1) lim x-4/lnx x-0+

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Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

A: Given  for year 2010 , x = 0 Sum of X = 132Sum of Y = 6367.1Mean X = 11Mean Y = 530.5917

Q: Find all first and second partial derivatives of the following: a. z = 4x³ − 5xy² + 3y³ b. z = x²…

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Q: 9-h² 2. lim h 3 h 3

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Q: Prove the statement using the , & definition of a limit. x2 - 2x 8 = 6 X-4 lim Given & > 0, we need…

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Q: When Navya was cleaning up her room, she found four types of items: legos, dolls, origami cranes and…

A: We formulate 4 equations from the given data and then solve each variable.

Q: The position of an object moving vertically along a line is given by the function s(t) = -4.9t²…

A: First we will find velocity function then find average

Q: Consider the two points P(1, -2) and Q(3, 1). 1. Graph the points P and Q in the same graph. Then…

A: We need to solve vector problem.

Q: Find J 5x -dx 8x + 3 + C When entering answers that contain logarithms you must use parenthesis and…

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Q: If lim R(x) = 7 and lim c(x) = 2, find the following. X-3 X-3 lim_C(x) = lim X-3 X-3 C(x) X

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