Oil spilled from a ruptured tanker spreads in a circle whose area mi² increases at a constant rate of 4- How fast is the radius of the h spill increasing when the area is 16 mi²? NOTE: Enter the exact answer. Rate of change of the radius=

Q: Which of the following is an equation of the tangent line to the graph h(x)=- Oy-3--1(x-3) Oy - 1/2…

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Q: 1 — A [1-2 - 2 -5 1+4

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Q: If f(x)=√x-2 and g(x)=x+3, what is the domain of f(g(x))? O #23 02-2 O M-1 O z>2

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Q: 2. (3D — 1)y = 6e³x

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Q: se implicit differentiation to find the equation of the tangent line to the function defined…

A: Given x3-x2y5=-2,point (-1,1) The objective is to find the equation of the tangent line to the…

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

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

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: Use row reduction to show that a a 1 6% 1 с = 62 2 (b − a)(c − a)(c — b)

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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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: 3. f(x) = tan(sin x²) 4. y = log2 (5x³− x² + 1)

A: Given functions are  a. fx=tansinx2b. y=log35x3-x2+1 We have to differentiate both of them.

Q: Need to be solved correclty by hand solution

A: Concept used: Calculate the work done in the process of moving the particle under gravitational…

Q: 1

A: Given At=te-kt

Q: B) Find the area of the region between the curves x = quardrant. = y² and x = y + 2 in the first

A: The given curves are x=y2 and x=y+2.   Now find the points of intersection between the given curve.…

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point 1-z…

A: The given function is: f(x,y,z)=xy+yz+zxGiven point:  P=1,-1,2The given direction line:…

Q: You are given the following function. f(b) = b + √b (a) Find the derivative of the function using…

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Q: 8. Find z₁ if z = xyev, x = rcos (t), y = rsin(t), when r = 2 and t = 516

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Q: Decompose 52+7 x³ + 2x²-x-2

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Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: Sketch a graph of f(x) = Which of the following graphs correctly plots this function? 3x - 1 5x

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Q: [10 01 00 LO O 00 00-5 -5 O 0 00 01

A: Given :Matrix = 1000010000-500001

Q: What is the integral of the function f(x) = sin 2x?

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Q: 1. S. dx 1 2 x² e² ex

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Q: Find d'y If y = x (05 (8x) - Sin²(x) dx ² 2

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Q: Find the vector equation for the line of intersection of the planes 4x + 5y - 4z = -2 and 4x + 2z =…

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Q: Consider the vector function given below. r(t) = (5t, 3 cos(t), 3 sin(t)) (a) Find the unit tangent…

A: NOTE: Refresh your page if you can't see any equations. . the unit tangent vector you have already…

Q: Using the First Derivative Test, what are the local extrema for the function s(x) = − 3x³ + 10x² −…

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Q: Q3. Use the chain rule method to find dt If (z=x. y), where x = cos (t) and y=sin (t)

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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: 5|x+6|+8>4 Interval notation and number line

A: NOTE: Refresh your page if you can't see any equations. . subtract 8 from both sides

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 the real value(s) of x that verify the equation √x + √(x+2) = 0

A: The given equation: x+x+2=0 To find the real values of x that verify the equation.

Q: 1.) An= (n +-4: give the first s terms. 2.) An = 48 26 ; insert 5 terms. 3. Ah = {-13, -6, 1,8,...}…

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Q: Is f(s, t, z) = st²e-² a solution to the differential equation: fzss=2fzzftt - (ftz)²

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Q: DO THIS TYPEWRITTEN FOR UPVOTE

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

Q: 2 Determine the following functions (f+s)(x) = (c-g)(x) = (p * f)(x) = (g / c)(x) = (s + k)(x) =

A: Here ,  We have given some of the functions with some operations between them and now we have to…

Q: Question 12 of 12 View Policies Current Attempt in Progress Find dy dx dy dx Enter the exact answer.…

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Q: f(x, y) = x² - 2x +1+3y².

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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: Match each of the following with the correct statement. C stands for Convergent, D stands for…

A: Concept used: Divergence: When the values goes to -∞ or goes to ∞ that is it does not approach one…

Q: Evaluate lim X-2 4x² - 8x x-2

A: Topic = Limits

Q: : Fit a second order polynomials to the data in the following: 5 6 12 13 X Y 1 4 3 8 4 10 7 10 8 co…

A: From given data

Q: x¹ - 1 x→1 x-1 cos(π + h) +1 h 28. (a) lim h→0 29. Find dy/dx/x-1, given that y = 1-x². 30. Find…

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Q: Is the graph of r(x) = 4x³ - 2x² + 9x - 2 concave up or down at the point with x-coordinate -1?

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Q: Use the given graph to estimate the value of each derivative. (a) f(-3) (b) f'(-2) (c) f'(-1) y =…

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

A: Given function:- ⇒fx,y,z=xy+yz+zx

Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: A company produces and sells 1440 tables each year. Each production run has a fixed cost of $200 and…

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Q: B: use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: By using Lagrange interpolation formula to determine the relationship between the force and velocity…

Q: Find the derivative of each of the following. A) f(x) = 128x f'(x) = B) g(x)=x¹8x g'(x) = C) h(x) =…

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