Consider the following function. g(x) = (x - 2)²-9 Step 3 of 4: Find two points on the graph of the parabola other than the vertex and x-intercepts.

Q: 1-√x)³ 3 √x dx

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Q: 2 Assume that f'(2) = -9, g'(3) = g(3)=2, and y=f(g(x)). What is y' at x = 3?

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A: The given function .The aim is to find the value of the ratio  over the given intervals.

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Q: Find the limit as a number, ∞o, or -∞o. Otherwise enter DNE. lim [√(√An+1 = √an)] = [ 4n n→ ∞o

A: Limn-infinity [sqrt(n) (sqrt(4n+1)-sqrt(4n))]

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Q: Click on the graph to view a larger graph Use the Law of Sines to find the indicated side a given in…

A: Given,

Q: sinh(x) = 314

A: sinh⁡(x)=34sinh⁡x=12(ex−e−x)

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Q: Determine the integral using the substitution u = √√x+11. √(x +11) 1/2 √x+11 dx

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Q: 9. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval 0, π], are…

A: Given that the function are

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A: The objective of this question is to find the coefficients a, b, c, and d of the cubic function y =…

Q: Find the derivative of the function. y = ³√x²-x² 一 y' =

A: The given function is; y= x7/8

Q: Refer to the graph shown below and evaluate Ĵ 1941 CH - 4 f(t)dt.

A: Consider the figure

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Find y as a function of a if y(1)9, y'(1) = -5. y = x²y" - 15xy' + 64y = x²,

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Q: If g(s) = * · 86 0 g'(s) = √5 + x7 dx, compute g'(s).

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: 1. The general solution of the system [x' = y, y' is given by x(t) = C₁ cost + C₂ sint, y(t) = C₁…

A: x'= y..........(1)y'= -x.........(2)

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: 5+ 4 3 2 1 -1 -2 -3 -4 -5+ 1 8 + 7 6 5 4 3 2 1 -1 -2 -3 3 -5 -6 -7 -8+ 4 The graph of a function y =…

A: The graph of a function  is shown. To make a sketch of theantiderivative F, given that F is…

Q: Question 1 If you know that Q(x) is a quadratic function and that Q(8) = 7, Q(7) = 2 and Q(1) = 6…

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Q: At what value(s) of x on the curve y=-7+90x^3-3x^5 does the tangent line have the largest slope?

A: y=-7+90x3

Q: Find an antiderivative of the function f(x) = 5x - √x.

A: f(x)=5x−x

Q: A= B n ed Use the right triangle and the given information to solve the triangle. a=1, c= 8; find b,…

A: Given,

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Q: If f(x) f'(x) = = x² S²³ to dt then

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Q: Find the area of the region between the curves y = x(1-x) and y = 4 from x=0 to x = 1.

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Q: If x³ + y³ = 2, find the value of d²y dx² at the point (1,1). The value of at the point (1,1) is d²y…

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Q: 6. 14 ) Consider both geometric series below. 3 SA = 00 Σ n=1 5n and SB = M8 n=0 3 5n Both SA and SB…

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Q: Find the position and velocity of an object moving along a straight line with the given…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Determine the moment of inertia of the area about the x axis. ' 2 in. 4y=x² T 1 in. X

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Q: X 1+x (a) If Q is the point (x,x/(1+x)), use your calculator to find the slope of the secant line PQ…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: f(x) = -3x + 5 g(x) = x² = x² + 2x + 15

A: Given the function   we have to find the value of (gof)(x)

Q: (4) Find the maximum and minimum values of f(x, y) = xy on the ellipse x² - xy + y² = 1.

A: The given equation of function  Let

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A: The growth rate of population of prairie dog community is P(0)=50

Q: Find all exact solutions on the interval 0 ≤ 0 < 360°. If there is more than one answer, enter them…

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Q: Find the unit tangent vector to the curve at the specified value of the paramet r(t) = t³i + 3t²j, t…

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Q: (c) (d) (e) creasing? Does g(x) have any critical points? If any, identify all critical points. On…

A: Given: To Find: (c) To find the critical points if any of g(x).(d) To find the interval(s) on which…

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Q: 1. Decide whether each of the following sentences is valid, satisfiable or unsatisfiable: a) Smoke…

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Q: Find the centre of mass of the region between y = x x² and y = x³ from x = 0 to X = 1.

A: The objective of this question is to find the centre of mass of the region between the curves y =…

Q: a 16. If there are initially 1000 bacteria in à culture, and the number of bacteria double each…

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Q: Find and simplify the difference quotient f(x) = 8 f(x+h)-f(x) h h#0 for the given function.

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Q: A cup of coffee has cooled from 98°C to 50°C after 10 minutes in a room at 25°C. How long will it…

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Q: Find all vectors u that satisfy the equation (1,1,1) xu= (9,-5,-4) BEBE Select the correct choice…

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