Determine the signs of f' and f" for each of the intervals. y = f(x) A Bc'D'E'F'G

Q: The particular solution of the differential equation y" – 6y' + 5y = -9e2* is O 2e^2x Зе^2x e^x

A: y"-6y'+5y=-9e2xf(D)=D2-6D+5since f(D)y=Q ; Q =keaxhence k=-9 , a=2particular integral isgiven by :yp...

Q: For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the gi...

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Q: Suppose f(2) is an invertible and differentiable function. Given the following table x f(x) f'(x) 1 ...

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Q: 3x? – 17x + 20 lim X4 4x2 - 25x + 36 Vx +5 - 2 lim x--1 x +1 Vx2 + 3 - 2 lim X-1 x2 -

A: Topic = Limits

Q: Explain what it means to say that: lim_ h(x) - o and lim h(x) 13.7. - x → 5 x →9+

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Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(e) =

A: Given f(t) = 3t+1823f'(t) = d3t+1823dtwktdf(t)ndt = n·f(t)n-1·f'(t)

Q: S sec? (4t) (3 – tan(4t))³dt A (3 – tan (4t))* + C 4 1 (3 – tan (4t))* + C 16 1 (3 – tan (4t))ª + C ...

A: ∫sec2(4t) (3- tan(4t))3 dt Substitute u = 3- tan(4t) dudt= - 4sec2(4t) dt = -14 sec2(4t)du= -14∫u3du

Q: Suppose that dz converges. What can we conclude about the constant p? Op>1 Op Op< 3

A: Explanation of the answer is as follows

Q: Find the derivative of the trigonometric function. y = 6 sin(3nx)

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Q: Derivatives. Find the derivative of the following functions. Note: It is not necessary to simplify (...

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Q: Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the ini...

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Q: Let P=(- 2, - 1,3). The find distance from the point P to the plane x+ 2y + 2z = 10. The distance = ...

A: solution:-plain: x+2y+2z=10point: (-2, -1, 3)formula for foot of perpendicular on the plain from poi...

Q: Given: f(x) = 1/x, find f(0.01+h) - f(0.01) / h

A: f(x) =1/x 

Q: e2"y + (x + y)³ = -r?.

A: Given query is to find the derivative of the expression.

Q: y 3.0f (1, e) 2.5 2.아 y-e* 1.5 1.0 /y = xe² 0.5 -1.0 -0.5 0.5 1.0 1.5 2.0

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Q: 3. f(x)=(3x' +2):

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Q: What is the general solution to the differential equation (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0 ...

A: 2xy-y2+ydx+3x2-4xy+3xdy=0

Q: Given: (-8, 6) cose = -3/5 3/5 -4/5 4/5

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Q: Find the equation for the plane through the point Po = (3,4,3) and normal to the vector n=21 + 7j + ...

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Q: Find the trapezoid approximation of V1 +x dxusing four subintervals. o T4 = 2VT + 0.25 + 2/1 + 0.50 ...

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Q: 3x' +5 (3x° +5)* (6x)+(3x° +5) (3)(-3x - 4) (-3) -75-8x)

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Q: Find the local maximum, minimum and saddle points of the function using the second derivative test: ...

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Q: ............... ........ ...... .......................................................................

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Q: dy B2. Use implicit differentiation to find if 3r2-4ry+y = 5.

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: Find parametric equations for the line through the point P(2, - 5, - 3) parallel to the vector 31 - ...

A: topic - equation of a line

Q: Two men, 400 feet apart, observe a balloon between them that is in the same vertical plane with the ...

A: topic - trigonometric ratios

Q: Find the root/s using 1) Secant Method and 2) Regula-falsi Method a. e-* - 3logx = 0 %3D

A: According to our guidelines, we can answer only the first question or three subparts of a problem, t...

Q: Textbooks. A textbook company estimates that the weekly marginal cost associated with producing x te...

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Q: 3x Consider the integral dx: x2 + 4x + 8 This can be transformed into a basic integral by letting an...

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a. ...

A: Find your answer below 

Q: Two business students at Brock University decided to open a small company together to sell their own...

A: We have the following information 

Q: Exponential Model. In an introductory biology lab at Brock University, students observe a certain ba...

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Q: 1 (a) Use the trigonometric substitution x=5 tan 0 to calculate the indefinite integral dx. Show you...

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Q: Find the angle between u = 3e, +2e, -6e; and v = 4e, - 3e, +e; .

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Q: Suppose A and B are non-zero vectors. Then AxB is perpendicular to A+B. True O False

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Q: Given: (-8, 6) sine = 3/5 4/5 -4/5 -3/5

A: We know that Sin(theta)=y/r r=√(x^2+y^2)

Q: A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A...

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Q: 3x? – 17x + 20 lim 44x2 - 25x + 36 Vx+5-2 lim x+1 Vx2 + 3 - 2 lim --1 x2 - 1

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Q: Consider function f graphed below. (a) Find the Net Change of f between x =-1 and x = (b) Find the A...

A: Given query is to find net change and average rate of change bfir the function.

Q: (b) dr 1 +1

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Q: Directions: Please write your solution on the space provided and boxed your final answe *The Extreme...

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Q: Find the derivative of the trigonometric function. y = 6 sin(3nx)

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Q: *Implicit Differentiation Directions. Use implicit differentiation to find dy dx 1. x2-y2 8 %3D

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Q: 7x + 6y For the function h(x.y)= 9xy - 7° find and dh dy

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Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error estima...

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Q: Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $600...

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Q: 1. Find the derivatives of each of the following functions. (a) f(x) = cos x In r O (z) = In(cos a) ...

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Q: the table of values for y = f(x) to complete a table for y = f=1(x). (Order your answers from smalle...

A: Given query is to find the the inverse function from the table.

Q: Find the derivatives of the following functions. 1. y = (4x - 5) ⁶

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