olve the nonlinear inequality using the Number Line method and Interval Notation. Make sure to test all four intervals. (x+5)(2x - 1)(x-7) ≤ 0

Q: Find the limit. NOTE: Enter the answer using round brackets. 1 lim (12²2 +9.7) = (17.00) 9't

A: Given : A value that a function approaches the output for the given input values Here, it has been…

Q: Find the critical points of the function f(x) = x² - 25 x² + x - 30 Use a comma to separate multiple…

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Q: Use the properties of natural logarithms to simplify the expression. In(e) П

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Q: Solve for the limit of the following limits functions. Write your answers in simplest forms. If the…

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Q: c. y = 4e (3x²-x) C.

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Q: What is the domain of the function in the graph? 20+8 18- +16+ 14 12 64506 10- 8 6. 47 08≤g≤14…

A: Domain is the values on x-axis for which graph is defined.

Q: Solve the optimization problem. F = Minimize F = 11x² + 11y² with xy² = 16.

A: Given problem:- Solve the optimization problem.   Minimize F = 11x2 + 11y2 with xy2 = 16

Q: Evaluate the integral. JS 2x + y dA D where D is the region bounded by y=x, y=0, x=2.

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Q: 1 Given f(z) find the average rate of change of f(z) on the interval [10, 10+h]. s z+5 Your answer…

A: The function is given by fx = 1x+5 To evaluate: The average rate of change of the function on the…

Q: Find the arc length L of the graph of r(t). r(t) t L= = ³²³i + 1 j + 1/2 √√61² k, 25157 = i

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Q: For each set of Polar coordinates (r, 0), match the equivalent Cartesian coordinates (x, y). Don't…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find f''(x). 1(x) = (x² + 1)² f''(x) =

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Q: Find the the domain of the function f(z) = O {x|x / 10} O{x|x + T} O x x 10 and x-7} O x 1 x -10 and…

A: Find the domain of the function

Q: Prove the identity. (secx + 1) (secx-1)= tan ²x Note that each Statement must be based on a Rule…

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Q: x y 2) W = + , x= cos² (t), y = sin²(t), z = =, at t = 3 3) w = 2 ye* - ln(z), x = ln(t² +1), y =…

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Q: Use the root test to determine whether the series 2n 4n + 9 converges or diverges. 9n + 2 n=1 Since…

A: Root test : Suppose that we have series ∑ an .Define,                 L = limn→∞ ann = limn→∞ an1n.…

Q: Question 4 > Find the domain and range of the function graphed below. -5-4-3 1 2 3 4 5 52 Domain:…

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Q: Given the function f(z) = 82-3, find and simplify the following values: f(a)= f(a+h) = f(a+h)-f(a) h

A: Simplify the expression at different values.

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

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Q: Given s(t)=31²+12t, where s(t) is in feet and t is in seconds, find each of the following. a) v(t)…

A: The solution is given below

Q: Q1: Find partial derivatives of the function with respect with each variable 2) f(x, y) =…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: дz State the multi-variable chain rule for du z=z(t, s), t=t(u, v, w), s=s(u, v, w) if

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Q: Describe the graph of the equation. r = 11 sin 13t i - 11 cos 13t j

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Q: Determine if y=5 cos x and x=31²-5t+3 dx

A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: Find a potential function of the vector field. F(x,y) = (3x²y + 1, x³+2y)

A: we have to find potential function.

Q: Given the function of f(x) = 8x² - 8x on the interval [0, 1], find a point c between 0 and 1 so that…

A: Answer is in step 2.

Q: owin - y" −4y' +4y=0 L".

A: 1)  y''-4y'+4y=0 Auxillary equation is m2-4m+4=0m2-2m-2m+4=0m(m-2)-2(m-2)=0(m-2)2=0 ⇒m=2,2

Q: Apply the first derivative test to indentify all relative extrema. (b) f(x)=x²-2+1 (c) f(x) = cos²…

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

Q: Select all of the following graphs which are one-to-one functions. 3- D 0 O eie 2 1 --5-4-3-2-1 -1…

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Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

A: Find your answer below

Q: Write the first six terms of the arithmetic sequence with the given first term, a1 and common…

A: Solve the following

Q: r=3sin20 and r=2) a. Pick two points on the graph and find their tangent lines. b. Find an area that…

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Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: Calculate the line integral [(of).do where f(x, y, z) = x ² ¹² + 4 xy² z yz с + е хуча and C is the…

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Q: Find the present value of a $30, 000 annual income stream if it is invested immediately as it is…

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Q: เก 23 -5-4-3 5

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Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: 2. Find a power series solution of the differential equation y' = 4y

A: To find a power series solution of the following differential equation.y'=4y

Q: Write an equation of the form ya sin bx or y=a cos bx to describe the graph below. 0 3 2 1 1 4 -100…

A: Check the amplitude and period of the graph and write the equation.

Q: Select all of the following tables which represent y as a function of and are one-to-one. I 5 8 8 Y…

A: Given query is to find which function is one to one.

Q: Use the second derivative test to find the location of all local extrema in the interval G for the…

A: Given f(x)= -2ex/(-4x-1)= 2ex/(4x+1) So, f'(x)= [2ex(4x+1)-8ex]/(4x+1)2 To get local extrema we put…

Q: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

Q: y = 2-ex 3x-1

A: We know that differential power rule is given as - d(xn)/dx = nxn-1.   Here i attached the solution…

Q: Suppose you know that f(8) = - 1, f'(8) = 10. Find the equation of the line tangent to the graph of…

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Q: Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. | ||ti + 1²3|| dt =

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Q: Evaluate the integral. (Use C for the constant of integration.) / G 6.9 + +0.5 +0.5 5ex dx 6 -

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Q: 82. lim (1 + 10)²

A: Explanation of the answer is as follows

Q: Question 2c.)

A: Here we have to find the period.

Q: 2. Use the guidelines to sketch the curve. Y In x x²

A: The given function is: y=ln xx2 Note that the domain of the function is (0,∞). First of all, let's…