Exercise 3.1. Find the derivative of the following functions: y = tan 2x 2. g(x) = xsin x – 5 cos x at x = n 3. f(y) 3 3seсy tan y ans. y' = sec22x – 2csc²3x ans. g'(n) ans. f'(x) = 6sec®y – 3 sec y ans. h' () : 1. +cot 3x - = -TT - sin z 4. h(z) = at z = : 3 = -2 1-cosz 3.

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A: Here we have to find the values of x such that the given series would converge.

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A: limit

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A: Let's find. 

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A: Topic = Functions   The intermediate value theorem states that if f is a continuous function whose d...

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A: We have to find the value of b

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A:  We know that law of sine is : SinA/a = SinB/b = SinC/c. Here A,B,C are angle of triangle and a,b,c ...

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A: Here we have to find when the ordinary differential equation y'=f(x,y) to be guaranteed to have a un...

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A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of th...

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A: Using formula  ∫ Sin x dx = - Cos x + C ∫ Cos x dx = Sin x + C ∫ xn dx = [xn+1/(n+1)]+C   ∫(Sin x - ...

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A: Given query is to rewrite the integrand in integrable manner.

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A: Here we have to evaluate the given limit.

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A: Topic = Derivative

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A: The region enclosed by the x-axis and the curve y=-x2+9

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A: Graph of the function is given, we have to find the left limit at x=1

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A: Topic = integration Value of k is 4.

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A: Topic = Area Area = 36 s.u.

Q: Sketch a possible graph of a function that satisfies the given conditions. f(-1) = -7; lim f(x) = -2...

A: Given that f(-1) = -7. Therefore (-1,7) is a point on the graph .when x tends to -1 from the left si...

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A: This question is based on monge's method .....by the help of this method we got the desired solution...

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A: Please see the below picture for detailed solution. 

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A: Use the given table for finding the value of function 

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A: Topic   = Integartion

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A: We have to use the given formula to calculate the difference quotient

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Q: C 1000 A В

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A: Recall: Arithemetic sequence : An arithemetic sequence of numbers such that the difference d between...

Q: y dx *1+x²y², 2у 1 + x?y?/ |dy 2х +

A: The detailed solution is given below Thank you 

Q: A town has the population 9000 people at year t=0. write a formula a. The population shrinks by ...

A: A town has the population 9000 people at year t=0. write a formula  let a=9000, t=0, Let t1 is the p...