y-values a 8 7 6- 4 3 2 1 1 g(x) 2 3 x-values If f(x) = g(x) · h(x), then ƒ'(2) = 4 y-values 5- 4 2 1 h(x) 1 2 3 x-values 4 Out

Q: Susan Marciano invested part of her $37,000 bonus in a fund that paid a 9% profit and invested the…

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Q: Find the slope of the graph of the function g(x) = tangent to the graph at that point. The slope of…

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Q: Assume that x and y are both differentiable functions of t. Find the required values of and dy dt…

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Q: 1. ƒ (x) = 10x² + 6x f 7

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Q: Which of the integrals below represents the length of the curve y = log₂ between the points (1, 0)…

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: given  r(t)=(5cost)i+(t2-sint)j+(4e4t)kat t=0x=5costy=t2-sintz=4e4t

Q: The radius r of a circle is increasing at a rate of 7 centimeters per minute. Find the rates of…

A: Given: The radius r of a circle is increasing at a rate of 7 centimeters per minute.

Q: A missile is fired from ground level with an initial velocity of (0) - (1000, 1400, 368) measured in…

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Q: Differentiate the function L(x) = -3e¹(cscx + 5cotx). Answer

A: Topic = Derivative

Q: كاكا Simplify the expression (32)2 2j)x(2i +6k)

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 7 Lim ( √√² + 1 - 7) t→0…

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Q: log32x² = log32 + 2log3x

A: Formula used logxy = ylogxlogx + logy = log( xy ) logx - logy = log( xy ) logax = b then x = ( a )b…

Q: A breeding group of foxes is introduced into a protected area, and the population growth follows a…

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Q: Using the following table of values, find (goh) (-6) S -10 glx) 5 hlx) 6 9 -10 3 S 525

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Q: From the set {-6, 5, 4+8i, 0.125, 7, 1/4 , √(-4), √3, 7i, π, 6} i) List the set of Natural Numbers…

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Q: 1 Find the slope of the tangent to the curve f(x): at the point where x = 9 4 √x The slope of the…

A: The slope of the tangent to the curve y= f(x) at x = k  is  f '(k).

Q: Consider the differential equation: 12x² 6y² - 4 dy dx y(2) A) Solve the differential equation. Give…

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Q: The position function of a particle is given by r(t) = (t2, 2t, t2 - 16t). When is the speed a…

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Q: elo e¹⁰ -x-e¹o-x e¹⁰ -11 10 = 0.5

A: In this question we have to find the value of x. e10-x-e10-xe10-11=0.5

Q: Identify the level curve of the function f(x, y) = ey for c = 6. Write your answer in terms of y as…

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Q: 57. Determine a and b such that p(x) = x² + ax + b satisfies p(1) = 0 and p′(1) = 4.

A: Given p( x ) = x2 + ax + b

Q: 15. Vermae borrowed PHP 151,500 to her friend and agrees to repay it in 3year with 5% annual rate.…

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Q: The position of a particle in the xy-plane at time isti+ The equation for the path of the particle…

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Q: Consider a 60-N weight suspended by two wires as shown in the accompanying figure. If the magnitude…

A: We need to find angle and F1.

Q: ight, in metres, of an object that has fallen from a height of 180 m is given sition function s(t) =…

A: We will find the required.

Q: Find the limit. lim (t i − 6 j + t² k) 1-4 lim (t i-6 j+t² k) 1-4 = i i+ i j+ i k

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Q: 1. * Find the Value of x 7x+4 = 49²x-1 O x=1 O x=2 Ox=3 O x=4 O None of the Above

A: Solution ) 7( x + 4 ) = 49( 2x - 1 )       7( x + 4 ) = 72( 2x - 1 )        [  49 = 72   ] 7( x + 4…

Q: In the second diagram at right, the tangent line at x = 1 has been included. Find the slope of the…

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Q: -2 8- y = f(x) y=√√√x+1 y = 3x - 23 P(9,4) 13 What is the right-hand derivative of the given…

A: Solution: y = 3x -23 limh→0+f(9+h)-f(9)h

Q: If the world's population increased exponentially from 6.081 billion in 2000 to 7.504 billion in…

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Q: A continuous annuity with withdrawal rate N = $2,000/year and interest rate r = 2% is funded by an…

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Q: Given that f(x) = x² - 14x and g(x) = x + 11, find (a) f+g= (b) f-g= (c) fg= f (d) g =

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Q: 2. Determine the center and length of radius of the circle given by the following equation…

A: Given equation of circle x2 + y2 - 16x + 48 = 0

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

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Q: Using the definition, calculate the derivative of the function. Then find the values of the…

A: NOTE: Refresh your page if you can't see any equations. . substitute t+h for t

Q: 30. f(x) = 4 — x², - a = -1

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Q: 2. * 1 A)x= ²/3 Find the Value of x 162x-3 = 4x+2 B) x = 1 O A О в О с O D O None of the Above 8 C)…

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Q: It takes 1600 J of work to stretch a spring from its natural length of 1 m to a length of 3 m. Find…

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Q: The area A of the region S that lies under the graph of the continuous function is the limit of the…

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Q: Solve the following differential equation for the initial condition y (0) = -1. Select using the…

A: To solve the following differential equation for the initial condition y0=-1.  By using the…

Q: True or False log32x² = log32 + 2log3x O True

A: We are asked to find the true or false

Q: 3. lim 3 cos(x) sin(4x) 2x

A: To evaluate the following limit. limx→0 3 cosx sin4x2x

Q: Find the divergence of the vector field F. F(x, y) = 5x²i + 3y²j

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Q: Sketch the level curves of the function h(x, y) = = X x + y for c = -7.

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Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y = 8x…

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Q: Which formula below represents the arc length of the curve y = f(2x) between x = a and x = b? - 2b…

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Q: Use Gauss elimination method to solve : x + 3y - 4z = 3 2x + 5y-z = 11 4x - 3y + 2z = 0

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Q: Lim ln x2/ln(x-3)3 as x approaches infinity.  please explain the steps. i know the answer is 2/3

A: Topic:- limits

Q: The equation r(t)= √3 2 +(21-182²) 14 jis the position of a particle in space at time t. Find the…

A: Given that position vector r(t)=32ti+12t-16t2j