Question Select your answer. On which interval(s) is ƒ(x) = 2 ln(x² +x – 20) continuous? (-00, –5) (3, 0) (-00, 4] (-5,4) Answer 28°C Partly cloudy a a E a 0) ENG 852 pm 13/03/2022

Q: The following choices below are the derivative of = V tan (z) EXCEPT sec² (z) 2 tan (z) 1+ tan² (z)…

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Q: Question 9 Determine the derivative of the given function: y = ²2t Oy=t² (2¹) + 2(2¹) (t) Oy In 2(2)…

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Q: a. Evaluate the following derivative d tổ tan(t) dt. sin(x) dx

A: We will use the Newton Leibniz formula to evaluate the differentiation

Q: Find the second derivative (y") of the given function: y = ln (7- x³) O-3x(14-x²) O-3z(14+x³)…

A: Given:  y=ln(7-x3)   To Find : Second derivative of the given function

Q: Exercise 8 Let N(k) be the approximation of f(x,) with some numerical differentiation scheme…

A: We shall solve this question using the technique of "Richardson's Extrapolation" from the theory of…

Q: What is the linearization function you should use in order to estimate tan π 4.1

A: What is the linearization function you should use in order to estimate tan(pi/4.1)?

Q: Use implicit differentiation to calculate (cos-(sin x³)). dx 3x sin (x) A. V1-cos²(x³)

A: We have to calculate  ddxcos-1sin x3   It is known that ddxcos-1x=-11-x2

Q: dy d'y dx ' dx? 2. If y = sin 2x – 2 cos 3x,the find, at x 0

A: The given function isy=sin2x-2cos3xto finddydx, d2ydx2    at x=0

Q: 13. Find the derivative at x = a for f(x)= /sin(4x) 2 Vsin(4a) cos (4a) Jsin(4a) 2 sin(4a) Vsin(4a)…

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Q: *Use the functions below for the next three questions f(x) = 4 sin (2x –) + 4 and g(x) = -6 cos (2x…

A: Solution is given below:

Q: a-a2 find f(tan x). 1+a2' 11.lf f(a)=

A: Given: f(a)=a-a2x1+a2x   To find: f(tanx)=tanx-tan2x1+tan2x

Q: Prove the differentiation formula. dx Let y = sech (x), then, in exponential terms, y = 11 [sech(x)]…

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Q: At time t (in minutes), an object's distance (in meters) from a point is given by s(t) = cos(+1 (a)…

A: the objet's distance s(t)=cos(t2+1)where,s(t) in meterst in minutes

Q: (b) Solve the equation log,(r - 6) = 1- log,(r- 4), r €R

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Q: 9. e' cos (x) =1+ sin (xy) 10. tan (x – y) = 1+ x2

A: Given the equations 1)ey cos(x)=1+sin(xy)2) tan(x-y)=y1+x2We need to find implicit differentiation…

Q: 12. Consider the function f (x) = sin (nx). On the interval [0,3]. At what value of x would the…

A: Topic = Derivative

Q: 5x2 tan x f(æ) = sec x find f'(x). Find f'(1).

A: Given : fx = 5x2tanxsecx

Q: Prove the differentiation formula. d dx Let y = sech(x), then, in exponential terms, y = 11 Taking…

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Q: Solve for the derivative of the following trigonometric functions. 1. f(x) = e3x 2. f(x) = x³ ex 3.…

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Q: A calculator may be used for the following question. Let f(x) be a function such that sinx…

A: given first derivative of function

Q: f (x) = 3 tan (x – ) i The amplitude of -- True False

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Q: Find F(s). L{e-6t cos(7t)}

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Q: x2 + 1 Find a formula for the tangent line for y = at x = 1. x + 1 e rational function does not…

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Q: Find by implicit differentiation, and evaluate the derivate at the given point. dx 4. x - y? = 0 5.…

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Q: Evaluate fo" sin(x) dx. Which of the following shows the correct steps? sin(æ)|5 = sin(r) – sin(0) –…

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Q: Cory puts a penny in her piggy bank on Monday, 2 pennies on Tuesday, 4 pennies on Wednesday, 8…

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