19. Differentiate the following functions. e) f(z) = z? cos 2z + z sin (z?) f) y = In ( sec 2x + tan 2x)

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Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

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Q: Evaluate the following integral. 1/4 | tan?x dx 1/4 tan x dx = (Type an exact answer in terms of T.)

A: Explained below 

Q: Question 14 of 15, Step1 6f The variable a varies directly as the cube of b. If a = 9 when b = 17, w...

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Q: Vrite a chain rule formula for the following derivative. for z = f(r, s); r = g(t), s = h(t) O dz dr...

A: We have to find out derivative

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Q: dy -: y = 6x² – 4x, dt dx = 7,x = -2 dt (5) Find -

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A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Evaluate the integral. | sec (3x +2) dx sec (3x + 2) dx =

A: Let 3x+2 = t

Q: 4. Evaluatelimx-1x-1x-1. Show your complete solution.

A: Here we can apply L'Hopital for 0/0 form. 

Q: Find the derivative of y = sech ILe-x)

A: Topic:- derivatives

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Q: y sec t+sec t tan t + (2y+tan t) dt dy xy - (x+2y)2 dx 3y(x' -1)+(x' +8y- 3x) dy -0: y(0)=1 dx

A: Topic:-  differential equations  Note:- as per our guideline if more than one question uploaded than...

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A: We have to find the maxima and minima of the function.

Q: For f(x, y) = 2x3 + x*y? – 5y? +10, Find fr:

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Q: п (п Let d e R. For the arithmetic series (n-1) d, verify that sn = n=1 Also, show that an arithmeti...

A: We will check the divergence of the arithmetic series. 

Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A: Revenue function , R (x) = x P(x) Where P is the demand function  and x is the  price per unit.

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Q: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

A: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative

Q: MTH 1510 Notes - March 1, 20 webassign.net/web/Student/Assignment-Responses/submit?dep=28955775&tags...

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Q: Question 2 We consider compound interest with a nominal annual rate r compounded n times per year. T...

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Q: 4. Evaluatelim X-1 Show your complete x-1 solution.

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Q: Use the Chain Rule to find dw for w = dt xe7,x = t2,y =1- t,z = 1+ 2t.

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Q: 2. The daily number of calories needed by a reptile of weight x pounds can be approximated by the fu...

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Q: Use the implicit differentiation to find dy/dx for (e^x)y + tan(xy) - 5 = 0

A: Given that        (ex)y + tan(xy) - 5 = 0 

Q: Simplify: 1 2 3 3 2 + 2 1 1 2 2 2 3 4 5 6.

A: We will simplify the given operation of matrix in the following step.

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Q: dy = ay + b whose dt Write down a differential equation of the form solutions all approach y 3 as t ...

A: Given,dydt= ay+bdyay+b = dtLet  ay+b=zdifferentiating both sides       a dy = dzSo,dzaz=dt1a. dzz=dt...

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Q: Find the derivative of the following function. у -6 h(y) = 4Vy - 7 The derivative of h(y)= y-6 is 4 ...

A: Find the derivative of h(y).  Differentiate h with respect to y. 

Q: Question 1 For each improper integral below, show that it diverges or find its value. (a) | Va In z ...

A: in multiple question we are allowed to answer only first three sub parts of question.

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: 2 + 4 2X = 3

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Q: dw If w = x2 + y2 and x = at?,y = 2at find dt

A: Differentiation

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A: For living organisms; C14C12 = constant = 11012   Hence, 14C just before the organism dies; C14 =C12...

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Q: Find the derivative of the function. 7 x - 3 y'(x) = Need Help? Read It

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Q: 2. Parabolic tangents and peculiar perpendicularities! a. Let la and lo be tangent lines to the para...

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Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

A: In this question we have to solve the integration.

Q: Use the appropriate multivariable chain rule to find the indicated derivative. a. Let w = f(x,y,z) =...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Given query is to find the average temperature of the coffee in the first 40 min.