Use the difference an+1 a, to show that the sequence | {n – 9"} - n=1 is strictly increasing or strictly decreasing. ап+1 An Use the dropdown menu to indicate whether the sequence is strictly increasing or strictly decreasing. Choose one v

Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

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Q: Let f(x, y) = (x² +(G))°. Determine the directional derivative of f at the point (1 0) in the direct...

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Q: Let f(x) = x' cos ( x-) and calculate ed S(x) dx by using integration by substitution. What was your...

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Q: solve using variation of parameters or reduction of order (D^2 +1)y = tanx

A: Let's find. 

Q: Determine if the following series converges or diverges. If it converges find its value. n²+ 4n+3 5/...

A: Wi will use partial fraction to solve the given problem.

Q: Use any method to determine whether the series converge. (a) k=1 The series 1 (b) 9k + 1 The series

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Q: - ydx + (x ++ Vxy )dy= 0

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Q: 23) Find x=72+\/72+J72+. . - A) 72 B) 7 C) 8 D) 9

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Q: Differentiate...

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Q: Evaluate the following integral (please write it out, instead of tying if possible)

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Q: If  h(x) =    5 + 4f(x),  where  f(4) = 5 and f '(4) = 2,  find  h'(4).

A: Solution: Consider the function h(x)=5 +4f(x) f(4) = 5 and f '(4) = 2 (Given)  

Q: sin' x dx cos x 18.

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Q: d the exact value of each part labeled with a variable in the figure. =b fy your answers, including ...

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Q: -3x3 dx V5-x8

A: In order to solve the integration ∫-3x3(5-x8)dx,  Let us assume t=x45

Q: Assume cos(t) = - where <t <a. Compute the following %3D cos(-t) = sin(t) = sin(-t) =U sin(-t) + cos...

A: topic - trigonometric ratios sin(-x)=-sin(x) cos(-x)=cos(x) sin2(x)+cox2(x)=1

Q: Find the the arc length of y = 3x² – 2 from x = 0 to x = 4 No decimal entries. Find the exact value....

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Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +...

A: We have to find the equation of normal and tangent line. 

Q: A function f(x) and interval a, b] are given. Check if the Mean Value Theorem can be applied to f on...

A: Given: fx=2x3-3x2-72x+10 ; a,b=-6,8   As we know from the Mean value theorem: If f(x) is real-valued...

Q: dx (3 + 4x – 4x²)/2

A: NOTE: Refresh your page if you can't see any equations. . add and subtract 1/4 ..................

Q: particle moves along the x axis so that its velocity at time t is given by v(t) = (t^6 -13t^4+12)/10...

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Q: (-1)"n For positive integer n, let a, = 3" (a) Determine whether the sequence {a„} is convergent. (b...

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Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: There are ​$320 available to fence in a rectangular garden. The fencing for the side of the garden f...

A: We need to find x and y.

Q: Factor the polynomial. (a) 6x – 7ry - 5y² (b) 9x² + 5x – 4

A: To factorize the given polynomials.

Q: 2 sec wdw a) 1

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Q: Differentiate. A f(x) : В + Сех f'(x) =

A: Given  f(x) = AB+Cex f'(x) = dAB+Cex-1dx                       ∵1a = a-1

Q: solve for the orthogonal trajectories y2 = 4x2 (1- kx)

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Q: Determine the Mc Laurin Series Expansion of the function and express the terms in power series formu...

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Q: Explain why the integral e'dx is convergent.

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Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

A: I am attaching image so that you understand each and every step.

Q: у" + 16у %3D0, yT4) -2y' (π/4) -1 =

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Q: Evaluate the limit 4x2 5x + 5 lim x → - 2 x – 7

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Q: Use the technique of completing the square to evaluate the following integrals. 163. 1. .2 + 10x

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Q: dり me me pag

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Q: Vhich of the following is correct? A) dx = lim | 1 %3D xp- = lim 4 V.r+4 V.r+4 V.r+4 -2 V.x+4 B) S d...

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Q: Question 2 For positive integer n, let a, (-1)"n 3" (a) Determine whether the sequence {an} is conve...

A: Let &lt;an&gt; be a sequence such that an≠0 for all n∈ℕ and an+1an→l . If l&lt;1 ,then limn→∞ an=0.

Q: Question 3 (a) Show that the limit łycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²

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Q: cos x 3) 1+ sin x 6) [cosh vdv

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Q: In Problems 1-6, determine the largest interval (, b) jor which Theorem 1 guarantees the existence o...

A: NOTE: Refresh your page if you can't see any equations. . on the right-hand side, we have ​ here we...

Q: FIND THE POLINATIVE. fo = sinx/secx t x² %3D

A: Note:- Here i think problem is Type 1 f(x) = sin(x)/sec(x) +x2  Or  Type 2 f(x) =sin(x) /(sec(x) +x...

Q: -3x 4, Suppse that f (x,4)= e Suppse thet f (x,u)= e * Bgt te++q thun find the discrioninant of f D=...

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

Q: 6. A water tank is shaped like a cone with the apex point at the bottom, where the cone has radius 5...

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Q: 4. An imaginary ant is walking on an imaginary cartesian plane so that at any point (x, y) it moves ...

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Q: Find the magnitude ||0|| of the vector ü = i- 3j. Round your answer to 2 places after the decimal po...

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Q: 6y" + y' - y = 0 is yı =e*³. Use the method of reduction of order to find a second linearly independ...

A: Topic:- Solution of differential equations

Q: Solve the differential equations. dy = (y²xe** – 3x²y)dx

A: Given:- dy=(y2 xex3 -3x2y)dx  To find:- General solution for given differential equation

Q: Consider the following. 2(x - 9)2 + (y - 6)2+ (z - 4)² = 10, (10, 8, 6) (a) Find an equation of the ...

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Q: 3. Let P= and Q = . Find the values of a and b such that Pis parallel to Q.

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Q: Give an example of a function f such that lim f(x) exists but f(0) does not exist. Give also, an exa...

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