Find the exact value for if - < 0 0

Q: Where does the graph of the function y=3•cos¬lx-sin¬'x have a horizontal tangent line? Provide an…

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Q: For the function f(x) = -3ex, find f''(x), f''(0), f''(7), and f''(-9). f''(x) = (Type an exact…

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Q: 3x+sinx-3 tan x -) Given g(x) = ln- calculate g'(x). %3D 3x4-Vx

A: Given gx=lnx3+sinx-3tanx3x4-x We know that lnab=lna-lnb. Therefore, using this formula we can write…

Q: limx--&gt;0 sin3x/ex-1

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Q: | sin* x cos xdx 4 X COS X

A: This question is related to integration.solve as below

Q: the

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Q: Does cot(x) + tan(x) = csc(x) * sec(x) ?

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Q: temperature values ​​are measured every hour in a day and a mathematical model is created for the…

A: The formula to find average temperature is  Ta=1b-a∫abT(t)ddt Here b=12 and a=0

Q: (tan x) = fu. v dx = (sin x) = | -=-=dx = (cos x) = fe" dx = | (arcsinx) = sec x tan x dx = secx tan…

A: We have to find out derivative and integral

Q: th The n derivatives of sin'x is 4" cos(4x + 8 2 thi

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Q: find the approximate values for all solutions to tan^2t -tan t -6 =0

A: Obtain the approximate values as follows.

Q: verify cos(3x) = 4cos^3 (x) - 3cos(x)

A: We know that  cos(A+B)=cosAcosB-sinAsinB Therefore cos(3x)=cos(2x+x)=cos(2x)cos(x)-sin(2x)sin(x)

Q: d Verify tanh - = X 1- x2 dx

A: Inverse hyperbolic tangent function can be expressed in logarithm funtion. Write tanh-1x=12ln1+x1-x…

Q: Verify the equation

A: To establish the given trigonometric identity

Q: Simplify (1/sin (x))+(1/sin^2(x)) in a single reduced fraction

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Q: QUESTION 5 Find the derivative. y%3= + 8 sec x Oy'-2- 8 sec x tan x x2 Oy'- - 7. +8 sec x tan x Oy'=…

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Q: (a) cosh(sinh *(8))

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Q: scost 2.) Find the derivative: 1 (t) = (sin" (t²), e² ² lnt>

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Q: Find sine half range for f(x) = \cos x for -1<x<1 COSX for < x < 0. f(x) { COSX for 0 < x < .

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Q: Find an equation of the tangent line to the graph of the function f(x) =tan(2x) at (?/8,1)

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Q: Sketch the graph of the equation: 1+tanhx F(x}=;In 1-tanhx

A: Given: F(x)=12ln1+tanhx1-tanhx To sketch: the graph of the given equation.

Q: f(x)=tan^-1(x) Use Taylor's theorem with error to give an estimat of tan^-1(1) = pi/4, without the…

A: f(t)=tan-1(t),  f(0)=0f'(t)=11+t2,   f'(0)=1f"(t)=-2t(1+t2)2,  p1(t)=f(0)+t f'(0)=tE1(t)=f"(c) t22!…

Q: Let h(x) =tan(2x + 5). h'(x) = sec² (2x + 5)(2) h"(x)

A: As we know that, The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx.g'x And use the common…