Q4: (etan 3x) (sin-12*) (2*) vsinh x+4 A) Find for the following functions: y = dx

Q: Eliminate the arbitrary constant for y = 2 + Cq sin 4t

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Q: Find a result by using undetermined coefficients for ý + y = x² + x+sin(2x)

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Q: Find [10] -t sin(v3t) е (а) L (b) L-- [tan-1 ))

A: We have to solve given problem:

Q: 111. f (x) = sin 8x, (, 0)

A: We have the function f(x)=sin 8x In the point, the x coordinate is missing. To find the value of x,…

Q: 4 sin 5x Differentiate the following with respect to the variable: y 5x4

A: Given function: y=4sin5x5x4y=45sin5xx4 Recall the quotient formula, ddxmn=nddxm-mddxnn2 Apply the…

Q: An object hangs from a string in a stable position and is represented by the function y = 4 sin (3x)…

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Q: C.)+x) = sin2x -tonzx

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Q: 4si 2xcos²x dx sin2xcos2x

A: It is given that,     ∫4 sin2xcos2xsin2xcos2x dx We have to evaluate it.

Q: Q3 Use Secant Method to find the root of the function. F(x)= cosx + 2sinx + x^2 to 5 decimal places

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Q: Q1 Find the absolute and relative errors of w-x-y, where x-cos33 chopping, y-sin33 ) لثلاث مراتب بعد…

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Q: Identify the inflection points and local maxima and minima of the function y=4x+sin8x on the…

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Q: Consider ∫ x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?

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Q: 68) Find a value of c that will make sin2 4x 0 x2 f(x) = C, x 0 continuous atx = 0.

A: Given,

Q: Q2 : Evaluate the integral sin x dx 1-sin² x

A: To find the integrations.

Q: use this to evaluate /x*sin (2x)dx

A: Integrating using by parts...

Q: find y" (second derivetive) of the function y = cos(2x) 3 - 2 sin²(x) and find the inflection point

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Q: Find f cos³x sin³x dx.

A: Given that: ∫cos3x.sin3x.dx

Q: find the inflection points at y=4x+sin8x​, −pi/6≤x≤pi/6

A: Inflection point  is a point where second derivative changes sign. a) If f''(x)>0, then f(x)…

Q: 4) Find the point(s) of inflection f(x)=(sinx)(e*)

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Q: (5tan28 etan 28 sec² 2 Bd B

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Q: How many periods of the function y = sin x are there between -10T <0<6T ?

A: Given that y=sinxTo find : number of periods in interval  -10π≤x≤6πSolution : period of sinx is 2πin…

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: Use Newton - Raphson method with value of x0 = 0.2 to find the real root for the function: f(x) =…

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Q: a) Find for 5x² – x³ sin y + 5e*y = 10 dx

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Q: Q3: Let cosh(x)3D5, x>0 , Find values of: sinh(x), tanh(x).coth x ,sech x,csch x

A: Given, cosh(x)=5, x&gt;0

Q: 32x° For what range of x-values is cos(4x*) × 1– 8x² + valid to 3 decimal 3 places?

A: To find the range for x-values for cos(4x4)≈1-8x8+32x163 is valid up to 3 decimal places.

Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?

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Q: Find a root of f (x) = 3x + sin(x) – ex = 0. Use 6 iterations to find the approximate value of x.

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Q: Find all æ values on the graph of f(x) = 2x – 4 cos æ for 0 < a < 2n where the tangent line has…

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Q: Find f'(x) where f(x) sin(cos(4x2 +1))

A: Consider the given function

Q: 1 x³ y =e*(dsin²3x-tanx ) - 10 y'=? (fх +1)

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Q: Find dy Sor y -Sin X-/ xp

A: Given : y = sin-1 x-1x+1

Q: 3. Find the root of the function x) - sin x +xe between -3 and -4. using Bisection and Newton's…

A: We have to find the root of the function fx=sinx+xex in the interval using the Bisection method. We…

Q: Differentiate the following finction f(x)=sin(3 ln(x))

A: Given that the function is       f(x) = sin(3 ln(x)) We have to differentiate the the function f(x).

Q: Find by implicit differentiation. 3+ 6z = sin(zy') dy Answer: dz

A: Solution is in step 2

Q: 1-x Find - V16 – x dx by using trigonometric substitution.

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Q: Estimate the error if P3(x) =x- is used to estimate the value of sin x at x= 0.4.

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Q: Find the linear approximation for f(x)=sin2x at x=5π6 and use it to approximate sin2(147∘). Round…

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Q: find all possible functions with the givenderivative. y' = sin 2t

A: Given: dydt=sin2t for finding solution of given equation, we use variable separable method so,…

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: For y = – 5 sin ( 4x - its amplitude is its period is its horizontal shift is Enter exact values.

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Q: Find the linear approximation of f(x)=sin(x) at x=3π4 and use it to approximate sin(134∘). Give…

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Q: Find the root of the function f(x)=sin x +xe* between -3 and -4. using secant method ɛ = 0 %3D

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Q: What is the value of k so that dx sin(kx2) = 6xcos(kx²) ?

A: Topic - derivative of a function

Q: Evaluate 不12 Sin^ x dx = 「ズ「() 2 2r/2+2 n > -1 (Gamma function).

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Q: Q3/ Find ∫ √x * Sin2 (x3/2-1) dx=? (by substitution)

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Q: Find the absolute maximum of the function. fAx) = sin(6x) + cos(6x) on the interval 0. 18 %3D

A: Given: f(x)=sin(6x)+cos(6x) Differentiae the function.…

Q: Find y' at the point (4, 4) where x sin(x² – y²) + 13 = x² – 3. -

A: y = f(x) g(x) Then y' = f'(x) g(x) + f(x) g'(x).

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

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