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

Q: Use the addition formulas to prove sinh(2x) = 2 cosh x sinh x cosh(2x) = cosh2 x + sinh2 x

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Q: Show that f Va²-t²dt = a² sin-¹(2) + x√a²-x².

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Q: (b) Prove that : - 1) (coshx)2 – (sinhx)2 = 1 ,2) coshx- sinhx = e-*, 3) (cothx)? -1= (cschx)?

A: Given that  The following

Q: A) By using simple Iterative method, find one root of the equation sin x = Use 3D. %3D (x2- In x)3

A: We have sinx=1x2-lnx3 Now, if we need to find a solution of fx=0 then we write fx=0 in the form x=gx…

Q: Determine of y = cos(x) – V5a2 In x.

A: I have stated the used formulas in the solution.

Q: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

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Q: find the derivative.

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Q: What is the integral of question 23 and why is the answer 0?

A: Let f(t)= t^4*tan t/(2+cos t)

Q: Find the coordinates of the point on the graph of y = 8 sin x+4 cos (2x) + 14, 0 <x<5, where the…

A: Consider the given function, y=8sinx+4cos2x+14 The slope of the tangent line on the given curve will…

Q: Use the addition formulas to prove sinh(2x) = 2 cosh x sinh xcosh(2x) = cosh2 x + sinh2 x

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Q: Q#2 (a): Find root of the equation 3x + sinx – e* = 0 by secant method correct to six decimal Places…

A: # we are entitled to solve 1 question at a time ,please resubmit the other question if you wish to…

Q: Suppose that 3x² - y² = 1² and y=tsin 0. Find (3). = sin 0 y (1) ¹ (2) and (2) 0 X X

A: Let's find partial derivative of given two equation.

Q: 1. Differentiate the function. y = In(VT sin-(5æ))

A: As per our guide lines we can answer only 1 question. Kindly post the other question seperately.…

Q: what is the acceleration at time t=o of a particle if its position is s(t)= cos (3t)-sin(4t

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Q: (5tan28 etan 28 sec² 2 Bd B

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Q: 7. The derivatives of the function f (x) = cos(3x²) that follow are incorrect. What misconception…

A: The differentiation of product two functions can be calculated by using the formula,…

Q: f6)= Sin () (x 3x26x-8) 1 CosX In Ceos x) | $66)=Sinx+t Cosx. sinsetl -6()=DSin -2053 2.

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Q: Integrate Sin (1-2 In v)

A: The detailed solution is given below Thank you

Q: Differentiate y = coS 7 + sin4x+ x cos x + 4 with respect to x. 1. 2.

A: the given function is: y=cosπ+sin-1(4x)+xcos(x)+4x3 we have to differentiate the given function with…

Q: 4. Show that sinx can be approximated by x-x³/6 within 0.01 on the interval [-1,1].

A: see my solution

Q: x'+y° Q4. If u = sin- sin-'( -), Show that x+y ди X- ди + y- = 2tanx (2 + ду

A: If u=sin-1x3+y3x+y, then show that x∂u∂x+y∂u∂y=2tanx.

Q: Use linear approximations to estimate the following. 1. sin 9/4

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Q: (b) Prove that : - 1) (coshx)² – (sinhx)² = 1

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Q: 11-­ Use linear approximation to estimate sin29(degree).

A: Given, sin 29° To find: Value of sin 29°using linear approximation

Q: tanx 4) S Edx Cosxv1+secr 5) S(1- u)vudu

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Q: -6e' sin(at – 3) dt

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Q: integral sec2(?) tan2(?) d?

A: Given that sec2?tan2?d?To find : Integral Solution :∫sec2?tan2?d?Let, tan?=tsec2?d?=dt∫t2dtt33+c

Q: Find the second derivative of f (z) = 6 sin (5z). %3D Enclose arguments of functions in parentheses.…

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Q: Use Newton's method to find the second and third approximation of a root of 3sin(x)=x starting with…

A: Here 3sin(x)=x∴3sin(x)-x=0Let f(x)=3sin(x)-x ∴f′(x)=3cos(x)-1 x1=2 1st iteration…

Q: 3. J sin53x dx. 4. J tan 2x sec22x dx.

A: ∫ax+bn dx=1aax+bn+1n+1+C

Q: 2. Use the Intermediate Value Theorem to show that the equation sinx = x – 1 has at least one real…

A: In the question it is asked to calculate real solution of equation sinx = x-1. Also, it is asked to…

Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: Apply Newton-Raphson method to determine a root of the equation cosx- xe^x correct to three decimal…

A: Let us consider an eqaution f(x)=0 with the initial point x0 to determine the roots of the equation…

Q: 3- - 플 플 sin²cyl y จน

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Q: uxiliary equation of + by = 0 are re tion of the different

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Q: Use differentials to estimate sin (π/6 + 0.01).

A: Use differentials to approximate the value of sinπ6+0.01 The nearest number to sinπ6+0.01 whose sine…

Q: Find the x-coordinates of the points of inflection of k(@) = sin (e) on the interval 2 Use exact…

A: h(θ) = sin2(θ)  [ -π/2, π ]

Q: Jz sin 0 do 2

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Q: 15. -- sin(2+ 2) dz

A: According to the given information, it is required to solve the give integral.

Q: The 32nd derivative of y = cos² 2r is O 26* cos 4x O -24 cos 2x O 24 sin 4x O 22 cos 2x

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Q: Use the Intermediate Theorem show that there is a root of the given equation: sin a - x between…

A: Intermediate value Theorem states that if f is continuous on the interval (a ,b ) and L is a number…

Q: Find fif f'(0) = 2 sin 0-sec²0

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Q: Verify the statement by showing that the derivative of the right side is equal to the integrand on…

A: NOTE: Refresh your page if you can't see any equations. . on the right-hand side, we have

Q: do sin 0 – cos 0 cos 0

A: The given integral is ∫dθsinθ-cosθ

Q: Find at the point (5, -1,5) where z is defined implicitly by the equation y°z + x cos z = z sin x.

A: Differentiate both sides partially with respect to y

Q: 6. tan (9x + 5) + C 1. O B. - O A. sec2(9x + 5) Which function should be differentiated? 6. tan (9x…

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Q: 13) Estimate tan(44°) using linear approximation.

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Q: Compute f sin(cos(x²)) sin(x²)x dx

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Q: Use an appropriate local linear approximation to estimate the value of sin(31°).

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