ON 3 sec3(In x) + sec2(In x) tan(In x) 2х n x) tan(In x) n x) dx c³(In x) + sec²(In x)

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =...

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Q: S 5e¯x- 6e-3x Given: Find: u 5e2x – 6 O 5e-x- 6e-3x O5e-x- 6e-3x O 5-6e-2x

A: Given:  ∫ex5e-x-6e-3x3 dx To Find:  To find u substitution.    

Q: minimum values and saddle point(s) of the function, If you have three-dimensional graphing software,...

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Q: 4 4e | f(z) = as x approaches 0 using the table of values? !! I. II. -1 -0.5 -2 -0.1 -1.5 -0.01 -1.1...

A: To find the limit at x tends to zero. We need to find limit near to the value x=0 There are four opt...

Q: Describe the sampling distribution of p. Assume the size of the population is 25,000. n= 600, p = 0....

A: Here given that, Population(N)=25000 n=600,p=0.1 Now, n≤0.05N600≤0.05*25000600≤1250 ............(1) ...

Q: The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019 ...

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Q: () dix + (") dy = 0 (x3 x³+y3• (**) dy = 0

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Q: Use Stokes' Theorem to calculate the integral | F. dr where F = (y – x)i+ (z – y)3+ (x – 2)k and C i...

A: Solving the following integral problem

Q: Discuss the continuity of the function g(x) = 1/(x^2-4) on the interval (0, 2] and [−1, 3].

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Q: The graph of a rational function f is shown below. 10 4- 2 -6 -4 4 6. -2 a. What is the horizontal a...

A: The graph of the function y = f(x) is given as

Q: 9. Find y' and y" for the following curves: a) x2 + y² = 1 b) x³ + y³ = 1 c) x* + y4 = 1

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Q: To determine how fast a change in weight will occur, the most plausible assumption is that is propor...

A: Given that dwdt is proportional to the net excess C-19.25w

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x2 + y2 + x²y + 5, D = {(x...

A: The given question has been solved in detail Absolute Maximum value is 8 Absolute Minimum value is 2...

Q: 15-16 Find the number e that satisfies the conclusion of the Mean Value Theorem on the given interva...

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Q: Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.00...

A: Using the Taylor Remainder theorem, the value of x is |x| ≤ 0.861

Q: . A function f(x) that is discontinuous at a point x = a in its domain may still have a limit that e...

A: Find your answer below 

Q: Find the shortest distance, d, from the point (4, 0, -4) to the plane x + y + z = 4. d =

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Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

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Q: implicit differentiation to find the equation of the tangent line to the function defined implicitly...

A: Topic = Functions

Q: ces 3. Find dæ/dy (watch out!) of the relationship 3-5% + sin y = In x + Vy3

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Q: y = x² cos sec 3 -1* 2

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Q: SV + 2) /2 – 3y dy -

A: The detailed solution is given below Thank you 

Q: x* – /x dx бу 4

A: integration

Q: V sec3(In x) + sec2(In x) tan(In x) dx Given: 2x Find: du O tan(in x) dx X O tan(In x) dx 2x sec (In...

A: Given:     To determine: expression for du

Q: 1 |dz 4z

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Q: 1. dr (0) 플 (6) 를 + (a) (b) r + 2In|피 +c + In피 + c + 2x +c

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Q: From the definition of the derivative of f(x) as f (x+h)- f(x) f (x)=lim h→0 h derive a formula for ...

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Q: k! Σ 4k k=0 10

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Q: dy :-y = xy2 dx

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Q: Enter the value of L- 1.27].

A: Floor value of x  is given as the greatest integer that is less than or equal to x

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about * = x0 and then find the nth Taylor...

A: Let's find. 

Q: Find the Taylor polynomial of degree 3, centered at a 3 for the function f(x) I+ 4.

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Q: Find the general solution to the Differentia Equation. State the auxiliary equation, complementary f...

A: The detailed solution is given below Thank you 

Q: Evaluate csc?x cot(cot x) dx. O -In |sin(cot x)| +C O cot(csc?x) + C O - csc?(cot x) + C O In |sin(c...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: In the taylor's expansion when a=0 , then it is called maclarian expansion.    

Q: y 2 y = sec? x y = sin(4x) → X T/8

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Q: Find the Laplace transform of the function ( 3, 0<t<5 ( 0, st<0 f(t) NOTE: Express the answer in ter...

A: Laplace transform

Q: The area of a circular sunspot is growing at a rate of 500 km/sec. (a) How fast is the radius growin...

A: Note that, the area of a circular sunspot is A=πr2 So,  dAdt=π2rdrdt⇒dAdt=2πrdrdt...(1) Now, given t...

Q: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's bo...

A: The amount of caffeine in Juan's body decreases by 14.2% each hour.

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 4x2...

A: We will use the fact that  The Mean Value Theorem states that if a function f is continuous on the c...

Q: c.Find the first four non zerọ terms of the Maclaurin Series for the given functions. Write the powe...

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Q: z8 – 6z° + 4z° – 2 -dz z*

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Q: HON 3 tan(e-*) dx Given: ex Find: du O e-*dx O -e-Xdx exdx O - e*dx

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Q: 16. Explain the squeeze theorem using any example of your choosing.

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Q: 3 y = log ( cos DIFFERENTIATE THE GIVEN:

A: The detailed solution is given below Thank you 

Q: ху — 1 dx x²y 1 xy2 dy = 0

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e; xo = 10 O 00 e10 E* ...

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Q: Find an equation of the tangent line to the graph of the function at a given point. Note: You may/ma...

A: Equation of tangent at point a,b with slope ,dydx.y-b=dydxx-a1. y=6x2+1    ; 1,3dydx=6×-1x2+12×2x=-1...

Q: t f be a function that is concave up everywhere. Suppose we would like to use the tangent line at x=...

A: If f is concave up so f''&gt;0 and follow step 2nd . 

Q: ue Theorem on the given interval? ction satisfies the Mean Value Theorem. continuous on [0, 3] and d...

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