19. Differentiate f(x)= sin(ln x)

Q: 9. t² cosh 3t 10. t³ sinh t

A: solution of the given problem is below using laplace transformation...

Q: -sinh(x) at x = 0 is dx21 Answer:

A: Derivative of the function

Q: , Suppose that the tangent line to the graph of f(x) = xlb) at r = 1 is equal to the tangent line to…

A:

Q: 4. y = 2Cos(x)Sin(2x) – Sin(x)Cos(2x) %3D

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A:

Q: 14. S 5 sin 3x cos 3x dx 15. ſ tan? Ode

A: We can solve the given integral as follows:

Q: find tu general Solution of: 2x a) y"-y' - 6y + Cosh = e b) y! -Y = Cosh 2x + Sinh x

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: We first factor out the constant

Q: xy' + (x +1) y xe sin 2x

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A:

Q: • What restriction (on x or y) does dy have? What dx point (x, y) does this correspond to? • Find…

A: According to our policies we are allowed to answer only one question at a time. If you want solution…

Q: 17. Why doesn't the definite integral 1-x² dx make sense? (Hint: Think about domains.)

A: To find: The reason why the definite integral ∫231-x2dx does not make sense. Explanation: Substitute…

Q: A ( sinh x- coshx tanh e 6)

A: You all need to have the idea of hyperbolic and their basic calculus.

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: we have to find the most general antiderivative of the given integral and then we have to verify the…

Q: L{sinh 6t– cosh t

A: we have to find the value of L{sinh(6t)-cosh(t)}

Q: dy for log, 3* dx = esinh x.In siny Q1/ Find

A: The expression of the function is .

Q: 2*csch( 2*) d x cosh(2*)-sinh(2*)

A:

Q: 2. Given: cosh x==(e²+ e*), sinh x=(e-e), use these 1-1/1 definitions to show that cosh’x−sinh’x=1.

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Q: The acceleration of a particle moving along the x-axis is given by a(t) = (1-8)sint for 0 ≤1≤ 8. At…

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Consider the following integral: ∫2ex-3e-2xdx=2∫exdx-3∫e-2xdx=2ex-3∫e-2xdx Consider the following…

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Given, ∫(1+tan2θ)dθ  The antiderivative of sec2kx is 1ktankx+C The antiderivative of K f(x) is K…

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: The given integral is ∫1x-5x2+1 dx. Evaluate as follows. ∫1x-5x2+1 dx=∫dxx-5∫dxx2+1=lnx-5tan-1x+C…

Q: 2. Evaluate x sin xdr using integration by parts.

A:

Q: 35. Does the graph of Sx*sin(1/x), x + 0 f(x) (o. x = 0 have a tangent line at the origin? Give…

A: Given: fx=x2sin1x,x≠00,x=0

Q: 9. Solve tan x for x where 0<x<90* V3 Enter your next step here

A: Just observe that its value of tan(30°).

Q: L{e-4t cosh 2t} L{e=t (3 sinh 2t – 5 cosh 2t)} -

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A:

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: ∫(2+tan2θ)dθ Formula ∫sec2θdθ=tan(θ)+C

Q: 4 196 x + 28 + 1 Let y= x> 0. - dy Find and simplify your answer Completely. 2 dx Hint : Before…

A: Topic - double derivative of a function

Q: 6. In(x*y?) %3D х* +уз 7. У- Arccos(e2x)

A: Given In(x3y2)=x2+y3y=cos-1(e2x)we need to find the second derivative of the given equation

Q: 3. Evaluate tan¹x² 1+x dx.

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Q: Differentiate the function. y (x) = esin 2x + sin(e2")

A: It is given that, yx=esin  2x+sine2xWe have to differentiate the given function.

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A:

Q: Find dy/dx by implicit differentiation. x4/3 + yA/3 =12 %3D dy/dx = (Express your answer using…

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Q: Suppose that the tangent line to the graph of f(x) = x(6*) at r = 1 is equal to the tangent line to…

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Q: 2. Use the identity of inverse hyperbolic function to solve cosh-(2 – a2) = ln 2, for |æ| < 1.

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Q: Q2- Find for the following function :- dx 1- y = sinh-(tan x) – tanh-1(sin x)

A: We will differentiate using direct formula and chain rule.

Q: 3. Calculate for one real root of tan x = 4x with xo = 1.2 up to four decimal places using the…

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Q: If f(x) = sinh 2x − e2, find the exact numerical value of f"(ln 2).

A: Given : f(x) = sinh 2x − e2

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: We have to find and check the answer by differentiation of the indefinite integral: ∫-sec2 x3dx…

Q: Q4. Test for exactness and solve (ycosx – cosy)dx + (sinx + xsiny)dy = 0

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Evaluate: ∫x2-1dx

Q: Find the following integral. Note that you can check your answer by differentiation. dt 14

A: ∫ t+82t4 dtRewrite as : ∫ t2 + 16t + 64t4 dt⇒ ∫ 1t2 dt + ∫ 16t3 dt + ∫ 64t4 dtUsing formula : ∫ xn…

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: The given function is ∫x2+2xdx Anti-derivative is equivalent to the integration of the function.…

Q: Use Euler's method (with all details) to find approximate value of = 2y - 2x² -3, given that y = 2…

A: Given: y'=2y-2x2-3 , y(0)=2 , h=0.3. We find y(3) by using Euler's method. The formula for Euler's…

Q: Find dy/dx by implicit differentiation. 11 11 dy/dx = (Express your answer using positive exponents…

A: The given function is 11x3+11y3=7

Q: I. Verify the following identities: 1. cosh x- sinh x = e* 2. sinh(-x) = –sinh x 3. cosh(-x) = cosh…

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

Q: B4. Evaluate e* sin x dx by using integration by parts method.

A:

Q: Find dy/dx by implicit differentiation. 72 – 5y? = 4 dy/dx = Need Help? Read It

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.