If Screen Shot 2021-10-05 at 8.28.02 AM.png sin ax if X < f (x) = cos ax if x > find the value of a so that Screen Shot 2021-10-05 at 8.32.50 AM.png lim f (x) X→a exists. A 4 1/4 (c) 1/2 2 EINRIN

Q: Let COS X if x 0 %3D | (a) sketch the graph of f (x) (b) Is f (x) continous at x = 0? Give reason/s…

A: f(x)=cos x         if x&lt;00                 if x=01-x2         if x&gt;0

Q: f(x) = lim f(x + h) – f(x). h-0 f(x) = 1

A:

Q: 3) Use the information below about the functions) COS X Let h(x) = (a) Find h'(x) = (b) Find h' (0)…

A: Given Table xf( x )f'( x )-23-5-1-940591322-58

Q: X lim 3П CSC 3x sin 23 x sec23x -- СоС3x cos23x + tan ²3 x

A: Let's solve given limit problem.

Q: Employ fixed-point iteration to locate the root of f(x) = sin (√√x) - x

A: We are given f(x)=sin(x)-x to find the root using fixed we first find iterative function ϕ(x)…

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Q: Suppose (=/3) = 3 and f '(m/3) = -7, and let g(x) = f(x) sinx and h(x) = (cos x)/(x). Find the…

A: So, Again, if , Then

Q: Setting x= cos or cosho show that Tn(x)==[(x + √X²_₁ )² + (x-√x ²₁ ²]

A:

Q: Q1) Show that: (b) (cosx) = -sinx =1+* (a) (1+x) =1+6x %3! (e) (VF) = (d) v1+ tan x

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Evaluate the following: -1 x-1(x+1) xả-5x-20 x-5 x²-4x-5' x-5 lim x-5x²-10x+25² i. lim ii. lim iii.

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Prob. 6 (a) i) Let f(x) = 2x² - 3. Find f'(-2) using only the limit definition of derivatives. (b)…

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Q: B- Graph the following: ( 1) y = -sin (x-1) +3 Q2) A- Find the derivative of the following: ( 1) y =…

A: We have to find part B and question 2) part A (1 to 4).

Q: (2 sinx if 0< x< T Graph g (x) cosx + 1 if < x< 27

A: gx=2sinx       if    0≤x≤πcosx+1   if    π&lt;x≤2π

Q: Let f(x)=hx  and   g(x)= hsin^2x a. Evaluate f(tan2pi) b. Solve h1/2=hcos^2x  exactly for x in the…

A: Given functions are a) We know that tan2pi=0 Therefore,

Q: If f(x) is a function with period 2L = 4 given on the interval (−2, 2) with (in picture) Is this…

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Q: a) Differentiate the function below with respect to x. y = cos(x) In (6 x) Note: In Text mode the…

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Q: 2) Real guitar strings get quieter after a few seconds. The 'damping' force of the air and other…

A: (2) (a) Apply the product rule for differentiation and find the derivative f'(t).…

Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

Q: 4. lim 3 sin (tan¹x)

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Q: sin5x(1-2t)dt (6) lim

A: limx→0∫xsin5x1-2tdtx Let  I=∫xsin5x1-2tdt=t-t2xsin5x=sin5x-sin25x-x+x2

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Q: 1. Prove that the derivative of tan(x) is sec² (x) directly from the definition of the derivative.…

A: The derivative of fx with respect to x is defined as:limh→0fx+h−fxh

Q: The periodic function with L=2 is presented as f(x)= 0 if -1<x<0 and f(x)= x if 0<x<1. Find the…

A: Given the function:         fx=0  if -1&lt;x&lt;0x  if  0&lt;x&lt;1 Find the coefficient of sin5πx.

Q: 1) Answer the following: 1. Find: lim-5-25 x-5 2. Find x2 + y? = 9xy dx 3. Find y': y = 5 sin3x

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Q: 1. Simplify tan(x) sec(x) to a single trig function.

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Q: dx x√3x² + 2x - 1 - arcsin 1-x 2x +C (Hint: Let x = 1/z.)

A: