What is the range of the function y = – sin 4 (x+ ) + 3? 0-4sys2 02sys4 O-4

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) -1 + - -1

A: Solved below

Q: Find f(x).

A: Given,

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A: It is given that f(x) is odd and

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A: sin 2x =2sin x cos x

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A: The given function is y=cos x-sin x2

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A: Given function is y=tanx8.

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A: Please see the white board. C1 is the constant of integration.

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Q: Find approximate value of the derivative for f(wo)-6f(x1)+3f(x2)+2f(x3) fr(x2) = f(x) = 10 sin(20æ?)…

A: Introduction: Numerical differentiation is the technique of obtaining the numerical value of a…

Q: H.W 3 1. plot the below function in the range 0 to 3r in steps of /20. sin(x) y(x)= { sin(x) 20…

A: Kindly ask only one question.

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Q: (B) The evaluation of f- -dx is (x*+3x2 +1)[tan-( In|tan"+5| + e -In tan-( +c (i) (ii) (iii) None of…

A: No antiderivative could be found within the given time limit, or all supported integration methods…

Q: [-1,1] O (-1,1) O [-1,1) O (-1,1] O

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Q: 4) If F(x)= } d, then F'(x)- sin t

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…

Q: Find the range and domain of the functions (1) f (x, y) = sin-(y-x)

A: We'll answer the first question. Since the exact one hasn't specified. Please re-submit the question…

Q: Find for THREE of the following functions: dx 1-y()+In(cos(x)) + √2-y=2(cos(x))*(x)

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Q: findthe domain of the function. f(x)=\sin e^{-x}

A: The domain of a function is the values of the variable that can be input into the function. The…

Q: 1. Plot the function f(t) = 5 sin(x) x+e-0.75x 5 3x for -5 sxs 10. Make two separate plots of the…

A: (1) given function is                                   f(x)=5sinxx+e-0.75x-3x5; -5≤x≤10

Q: dx -= In[F(x)]+C. What is F(/3) if C= 0? For (x+x³) (x Tan-!x+1) (A

A: We will integrate first then find F(x).

Q: Q2: Derive the following functions sin2x 1. f(x) sec?x 2. f(x) = x²e*²

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Q: 3. If f(x) = cos(x), determine f(125) (-T). V2 (B) 2 (A) 0 (С) 1 (D) –1 1 (E)

A: we will use nth derivative formula of cosx .

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A: Given that: f(x)=sin2x-sinx

Q: i. f(x) = sin(cos(tan(2x))) j. f(x) = In³/2x

A: we have to differentiate it:-

Q: 4. plot the below function in the range 0 to 3x in steps of z/20. sin(x) sin(x)20 y(x)=. sin( x)s0

A: we are allow to solve one question at a time thank you

Q: dx = In[F(x)]+C. what is F(/3) if C = 0? For (x+x³) (x Tan-'x + 1)

A: We will integrate the function first.

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Q: dx -In[F(x)]+ C. What is F( 3) if c = 0? For (x+x³)(x Tan-!x + 1)

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Q: 1. Find y'or for each of the following functions: dx 5 sin x 7-2 sin x (a) y : tan x (b)y =: 2x-3 3…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: off f(x) dx, where Evaluate [ f(x) f(x) dx = f(x) = 18x², -T≤x≤0 19 sin(x), 0≤x≤T.

A: We have to solve given Questions.

Q: Find for the following function. dx 3- cos X y = 4 + coS X

A: follow next styep

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A: Given: f'x = gx = x2-5x+5cos3x2-3xf-2 = 4------------------------------Aim: To find absolute maximum…

Q: 1 Q4\Given the function f (x) : Find S f (x)dx 1+sin x'

A: ∫11+sin(x)dxRewrite using trignometric identities:=∫sec2(x/2)(tan(x/2)+1)2dxSubstitute…

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Q: dx -= In[F(x)]+C What is F(3) if C = 0? For (x+x*) (x Tan-lx+1) 1 V3 3 R| |6 一3

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Q: dx - = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) 3 6. V3 +

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Q: dx = In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-x+1) (A +- B V3 + 3 -1 D -1s -is -is

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A: Given below clear explanation

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.