f (x) = 6 Sin(4x)+ 2 Cosh(3x)

Q: Evaluate e sin x cos x dx using Simpson rule with h 20

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Q: Evaluate the first derivative of the following functions: g(x) : = cosx – sinx f (x) = 4x²cosx g(y)…

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Q: can i get step by step help please

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Q: Consider the function y = sinh 2x + 1. Which ?one is a critical number of this function

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Q: Evaluate the definite integral. sin x dx -dx J12 I+cos² x

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Q: Consider the function f(x) whose second derivative is f''(x) = 2x + 2 sin(x). If f(0) = 3 and f'(0)…

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Q: 2. Evaluate the integral: | sinh x cosh² x dx

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Q: Find the integration of the following functions COSX 1) dx 3+8sinx 2) fx tan(x² + 1)dx

A: In this question, we want to solve the given integrals.

Q: Find dy/dx by implicit differentiation for the following.:2y2 = 5 + x/5-x

A: Given: 2y2 = 5+x5-x Now differentiate the given function we get, By using the product rule,…

Q: Evaluate the definite integral. 1. S(sin(2x) – cos(2x)) dx

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Q: Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4…

A: EA = 0.0030056

Q: Find f'a) for f(x)= =Sinx 1- Cos X %3D

A: We have to find the derivative of the given function.

Q: Find dy/dx by implicit differentiation for the following.  7x2 - 4y2 = 24

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Q: Consider the function f(x) whose second derivative is f''(x) = 9x +8 sin(x). If f(0) = 4 and f'(0) =…

A: Recall: ∫xn dx=xn+1n+1+c ∫sinax dx=-cosaxa+c ∫cosax dx=sinaxa+c ; where 'c' is an integration…

Q: Find one root of the equation below f(x) = cosx – x %3D using HIM and SECANT method of x = 0 and x =…

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Q: Find the derivative of the 6. sin 80 (f) f(0) = %3D 1+ cos 80

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

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Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

Q: Verify the formulas by differentiation. ∫1/(x + 1)2 dx = -1/x + 1 + C

A: Here f(x)=1x+12we have to verify that ∫1x+12 dx=-1x+1+C∫f(x) dx=∫1x+12 dxsubstitute…

Q: Q4: To evaluate the integral cos x dx using the reduction formula of cosine function

A: We know that reduction formula for  ∫cosndx=1ncosn-1(x)sin(x)+n-1n∫cosn-2(x)dx Now we will solve…

Q: · f(x) = sin(In r²) %3D

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Q: Evaluate the integral sin x dx (2 + 3 cos x)2

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Q: The integral of the given function | sin22x cos 7x dx is equal . ....

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Q: Use the Newton-Raphson Method to approximate the root of f(x) = 2 cos(x) – 2x + 1.

A: Newton Raphson method: numarical methods

Q: Use Property 8 to estimate the value of the integral.

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Q: Is the function h(x) = 3 cos x+ sin x concave up or down at the point 3 я?

A: Given:

Q: 4 The range of y =sinx for 7SXS is 2 0syso 4 <ys0 sys1 ys 4 -1sys,

A: We are given a function y(x) = 4/5 sin(x) and we need to find the range of y(x) when π ≤ x ⩽3π2 (…

Q: F( x) dx 2x sin

A: Definite Integration

Q: Find dy/dx for the following function y = cosh[sin-'(x²Inx)]

A: Please refer to the image below.

Q: Find the derivative(dy/dx) of following function f(x) = Sin(2x) (x+1)? %3D

A: It is derivative problem.

Q: Q3 : prove that : cosh?x + sinh²x =coch2x

A: L.H.S.:=cos h2x +sin h2x=(cos hx)2 +(sin hx)2  =ex+e-x22+ex-e-x22=14(ex+e-x)2+(ex-e-x)2

Q: Use the Fundamental Theorem of Calculus to find the derivative of h(x)= (from -4 to sin of…

A: This is a calculus problem

Q: Find dy/dx by implicit differentiation for the following.:7x2 - 4y2 = 24

A: to find: dydx given: 7x2-4y2=24

Q: Find the integration of the following functions 2) fx tan(x² + 1)dx COSX 1) -dx 3+8sinx

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Q: Consider the function f(x) whose second derivative is f''(x) = 9x + 8 sin(x). If f(0) = 2 and f'(0)…

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Q: Find all extreme values for y=x+sinx^2 over [0,π]

A: Given,  y = x + sin2x  We have to find the extreme value in the interval 0, π

Q: f sin-¹(x) dx

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Q: Differentiate the following functions with respect to x (i) f(x) = sin² Vx² + 1 In(x²-3x) sec(7-3x2)…

A: Finding the derivatives of given functions.

Q: find f'(x), where f()=Dcosx sin x.

A: The given function is, f(x)=cosxsinx. Obtain the derivative of the given function using limit…

Q: Find for the following function: dx 1- y = sin-1 V2x + 3

A: See the attachment

Q: calculate the value : f'(x) 3. a) f(x)=4xe**+ln(sin/x)+2cos(x³ +2x+1)

A: f(x) = 4xex3 + lnsinx + 2cosx3+2x+1f'(x) = ?

Q: f(t) = sin²(e in²s) %3D

A: Given : ft = sin2esin2t

Q: Find the derivative of the function. y = 6 In sin 22x O A. 24 sin 2x OB. 12 In sin 2x C. 24 cot 2x O…

A: We can find the derivative on the given function by using the chain  rule of differentiation.

Q: Find the inflection points for the function f (x) = 8x + 2 – sin (x) with 0<x< 3T. Express the…

A: The given function f(x)=8x+2-sin(x)

Q: (sin-l x)² dx V1-x²

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Q: Q/ Find to the following functions: dx 1- sinh (x² + 7x + 12) 2- cosh²(17 – 4x²)

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Q: Differentiate each of the following functions with respect to x. 1. y = In cosh2x 2. y = e" sinh x…

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Q: f(x) = x in the %3D sin 2x + ...

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Q: Use U-Substitution to evaluate the definite integrals. Sž cos 2x dx (1+x2)2

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Q: Consider the function f(x) whose second derivative is f''(x) = 9x + 10 sin(x). If f(0) = 3 and f'(0)…

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