Find the first derivative of the given functions: 1.)  x=(Arcsinh(1-b))2   2.) y=e-xcosh ln(x)

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A: We are given expression . Now,                  sinarcsec5x+1Use the following identity: sinarcsecx=...

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Q: ſ csc' xdx

A: Solution is written in below steps.

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A: Find h'(1) if  a) h(x)= f(x).g(x)  b)h(x)=f(x)/g(x)  c) h(x)= f(g(x))   Where , f(1) = 3 , g(1)= 1, ...

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A: Express the following rate as a fraction in lowest terms. For example, you would enter an answer of ...

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Q: b. V3x -11= x+1 ,2

A: Solving on graph

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A: Given query is to find the indicated derivative.

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Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

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A: From the given graph of f' we can see that f' is positive when x = (-Infinity , 1] And also f' is ne...

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Q: 3. Let p = 31. Evaluate L3(24).

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Q: Find the area bounded by the curves y = 11cos x and y = 11cos x between x = 0 and x = 2

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Q: 4. The derivative of f(x) = ln x at x = 3 when hpresent = 0.001 and hprevious = 0.002. %3D 5. The de...

A: f(x)=ln xhprevoius=0.002f'(x)=f(x+h)-f(x)hf'(3)=f(3+0.002)-f(3)0.002f'(3)=ln(3.002)-ln(3)0.002f'(3)=...

Q: Use the Laws of Logarithms to expand the expression. 5 log2 9t2

A: Apply log rule:  logaxy=logax - logay

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A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first...

Q: +o0 (-1)" n (a) ► n! n=1 1 (b) E -3 n - -n n=1

A: Find the limit of the given functions at infinity

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Q: 1 Σ 4n² – 8n + 3 n=1

A: The objective is to determine if the series is whether convergent or divergent.

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Q: tan x[cot x – cos x]dx |

A: Topic:- integration and trigonometry

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Q: Maximizing Yield An apple orchard has an average yield of 36 bushels of apples per tree if tree dens...

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Q: Question 1 Find the derivative of g(x) = 3 cos™' (x) at the point x = 4 %3D %3D (Enter an exact answ...

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A: Let's find. 

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Q: Q9/ Find the centroid of the region enclosed by the cardioid r = 1 + cos 0.

A: 5/6 centroid

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A: A rectangle has a length of 6 inches and a width of 4 inches whose sides are changing.The length is ...

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Q: Let f(x) = 9 cos(cos x) f'(x) =

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Q: Solve the differential equation y y' = - + sin sin ()

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Q: show all working so it is easily understandable The number of women in the workforce, based on data...

A: Topic:- Geometry

Q: 1. (a) Plot the first four terms of the sequence 3n2 – 3n + 2 n=1 (b) (i) Write in bracket notation ...

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