Use the difference an+1 – An to show that the sequence {n – 8"}=1 is strictly increasing or strictly decreasing. An+1 – An Use the dropdown menu to indicate whether the sequence is strictly increasing or strictly decreasing. Strictly decreasing

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: 3. The integral of an t dx is b In|sec(In(2x)ª)|. What is b? A. 1/2 В. 1/4 с. 2 D. 4

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Q: Given D = {(x, y) | Osæs2, sysl } and f(x, y) = xy then evaluate // f(x, y)dA using the Type II tech...

A: We have to find value of double integration over the given region D.

Q: 1+ In x 6. Find f (x) so that when u =f(x) the integral dx can be tan(f(x)) rewritten as cot u du . ...

A: This can be evaluated as follows:

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

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Q: dP Recall that in a class this week, we discussed a problem where we are given = rP. K К -Р where r ...

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Q: Find the directional derivative OF the Function in the divection U = Cos e it Sin e i OF the unit ve...

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Q: Given: x2 dx Find: Formula o fa"du q"du o fe"du "du

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Q: ind the values of c that make f continuous everywhere: { Sa² – c² if x 3

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Q: 14. If we let u = 4x – 1 for the s²tan(4x-1)-3 cos"(4x-1) dx. what will be the cos(4x-1) resulting f...

A: This is a integration problem

Q: For each of the following problems, Set up the integrals representing the volume of the solid genera...

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Q: Find the rate of change of the volume of a cube with respect to the length of its side s when s =3 ...

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Q: Solve for the maximum and minimum values for ∫(x^3−2)/3dx. (Upper limit is 1 and lower limit is -2

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Q: az dz 10. Compute and for the following equation. dy ,3 eY + xz2 6xy*z³ %D

A: The given equation is: ezy+xz2=6xy4z3...(1)

Q: S Зх-5 Xp- (3х- 1)(х - 3) Given: Find: u Ох-3 Зx2- 10х+3 3x2 +3 Зх-1

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Q: dz 10. Compute az and for the following equation. dy e Y + xz? 6xy*z3

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Q: Evaluate the integral cot 2x Xp- Vcot2 2x - 15 -금ArCsec Csc 2x +C A 4 -nlcot 2x + Vcor 2x - 15|+C co...

A: This question is based on indefinite integral.

Q: The weekly sales of Honolulu Red Oranges is given by q = 1008 – 18p. Calculate the price elasticity ...

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Q: e) Explain how one can use differentiation to analytically determine the slope of a curve

A: If cost revenue given , we differentiate it so we give marginal revenue. 

Q: Consider the improper integral I = dz. 4x +1 (a) Find the value of the constant C for which the inte...

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Q: Let​ C(x) be the cost function and​ R(x) the revenue function. Compute the marginal​ cost, marginal​...

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Q: What is the resulting integrable form of evx+I x+1

A: We have to find value of given Integral.

Q: 10. csc x (3n . Compute f du If u = f(x), then dx = sin x – cos x и 2 A. O В. 1 С. 2 D. -1

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

A: Given function f(x)=eaxseries is given as p0(x)=f(0)p1(x)=f(0)+xf'(0)p2(x)=f(0)+xf'(0)+x22!f''(0)p3(...

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: 3. (3 marks) Given that u(x, y) = f(y- a) +g(y +x) is a general solution to Uzz = Uyy, %3D for twice...

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Q: 1 dz 4z z z

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Q: Evaluate the integral tan 4x dx Vtan? 4x - 24 tan 4x 1 Arcsec 4/24 V24 +C O 1 sec 4x Arcsec 20 + C O...

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Q: In3 ex i. dx In2 4- ex i. X/16 - Inx e 1 iI. i xInx In2 1 dx Ino.5 e2x + 1 iv.

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Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch o...

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Q: Evaluate the integral tan 4x S- Vtan? 4x - 24 O 1 Arcsec sec 4x + C 5 sec 4x + C 5 O 1 Arcsec 20 1 A...

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

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Q: 15. Find dr/d0: r = 4 – 02 sin 0 а. 20 sin @ - ө2 cos @ b. 0 cos e – 0² sin e - c. O sin e – 02 cos ...

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Q: 3. The area of the region under the curve y = 6z bounded by the lines z = 3 and z = 5 above the I-ax...

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Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

A: We are given that   Sn = ∑k=1n1/k   and n>1              ..(i) We have to show that Sn  is not an...

Q: estimates used by climbers? Higher altitudes can present challenges to mountain climbers and hikers....

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Q: 3. The graph of a function g is shown. 1. (a) Verify that g satisfies the hypotheses of the Mean Val...

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Q: The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four quant...

A: Please see the below picture for solution. 

Q: 37. h(t) = 14 -214 39. F(x) = x" (x - 4)²

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Q: 4x4 + 7x + 16 Consider the rational function f(x) 6x2 – 11 a. What monomial expression best estimate...

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Q: Scos(cos2x) sin2x dx Given: Find: du О 2cos2x dx -2sin2x dx -2cos2x dx 2sin2x dx

A: The solution is given in the next step.

Q: Write an equation for a rational function with the given characteristics. 4, x-intercepts at (-4,0) ...

A: Explained below 

Q: 1+ In x 6. Find f(x) so that when u = f(x) the integral J tan(f(x)) dx can be rewritten as | cot u d...

A: This can be evaluated as follows:

Q: (c) The Cauchy problem u, + Uy = 0, u(x, y) = x on y = 1 has: (A) a unique solution (B) no solution ...

A: Given

Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

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: dx Evaluate 6e* cos (3e *) -In |sec(3e ) – tan(3e |] + C O 2 [In |sec(3e-x) + tan(3e-)|] + C -18 [In...

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Q: Evaluate the integral cot 2x S- Vcot2 2x – 15 V cot? 2x

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Q: Csc X Given: dx Vcor?(글씨)-4cor(글씨)+4 -x)+4 Find: u ct 1 cot2 1 x) - 4cotx) +4 cot cor()- acot( X+ 4

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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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