Use the difference an+1 – an to show that the sequence {n – 7"}n=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. Choose one ▼

Q: 6. lim (0.2)

A: As per bartleby guidelines we only give first question answers. 

Q: 3. What is the derivative of y = (f(g(f(g(x))))? Furthermore, if you are asked to evaluate the deriv...

A: The given function,     y=fgfgxg0=0, f0=1 and g1=f1=1

Q: e - a) + ? = α a²

A: See the details solution in below

Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: f(x)= 5.738e0287x By inspecting the graph of an exponential function, find the following. Note: Roun...

A: The given function,      f(x)=5.738 e0.287 x

Q: - 4x + 30 -dæ Evaluate (x – 5)(x + 5) + C

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Q: A magazine publisher reports that their revenue function and cost functions (in thousands of dollars...

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Q: 3. Se paration of Varlable s: x(y +1)dx+

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Q: 2. The degree of the differential equation 5x +Sy =0s dr

A: We will find the degree of differential equation in the following step.

Q: Let g(x) = log3(æ). Find g'(4). g '(4).

A:

Q: The length of the curve y=In sec x from x=0 to x=b, where 0 < b <, may be expressed by which of the ...

A: Given length of the curve y = ln secx.Below find the solution in the image.

Q: o y The order of the differential equation 5x- ôʻy + 3x + w²y = 0 is ôx

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Q: Determine whether the integral converges or diverges. Evaluate the integral if it con- verges. d.x x...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: True, Differentiability implies continuity.

Q: SOWE THE PIFFERENTIAL EOMATIONS 3(x+ 3y-4) dy t (x -3y +z) dx = o %3D

A: First we made a homogenous equation for this we put x=X+h and y=Y+k Then we get homogenous equation ...

Q: Given the matrix below, find ATB. -1 21 A =5 0 and B = [3 -2 1] 7 Lo 4 2] 3 Choose your answer here....

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Q: 1. The order of the differential equation 5x- d'y aty + 3x + w'y = 0 is

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Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

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Q: far 4 (4f² + 3)² dt cos t dt 1 + sin t sec x tan x dx sec x – 1

A: Given:  4 ∫4t2+32 dt5 ∫cos t1+sin t dt6 ∫sec x tan xsec x-1 dx To Find: To evaluate the each of the ...

Q: 1. Integration by parts: 2 3 .5x X°e dx

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Q: Find the first derivative of y = 1 using the Chain Rule. (1– x4)6

A: These questions are related to differentiation, We will solve them using given information. 

Q: 7. The function (x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree

A: .Given,f(x,y) = (2x4+y4) ey2x +x y3Put y= xSo we get,f(x,x)= (2x4+x4) ex2x +x x3 f(x,x)= (3x4) e0.5 ...

Q: Suppose that you are told that the Taylor series of f(x) = x*eª´ about x = 0 is x10 + + 2! 3! + Find...

A: Given the Taylor series of f(x)=x4ex2 about x=0 is x4 + x6 + x82! + x103! + x124! + ⋯   We know that...

Q: Implicit differentiation x^2+2y^2-4=0

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Q: Suppose the function g statisfies - 32x – 2x2 - 120 < g(x) < r² + 16x + 72. We want to use the Squee...

A: Let f(x)=-32x-2x2-120 h(x)=x2+16x+72 And f(x)≤g(x)≤h(x) We to evaluate g(x) using f(x) and h(x)

Q: 6. df Let f(x) = -x+ 6. Find f'(x). Graph f(x) and f'(x) together. Evaluate 1 df 1 at x= 1 and dx at...

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Q: 5. Law of Cosines to find the remaining side(s) and angle(s) if possible. A) BB = 72°40, c = 16m, a ...

A: According to company rule we can answer only first question and rest can be reposted.

Q: Write the first five terms of the sequence: { +o0 11 In n n=1 Determine whether the sequence converg...

A:

Q: 4-ху Find lim (x,y)¬(2,1) x²+3y2 if it exists, or show that the limit does not exist.

A:    limx, y→2, 14-xyx2+3y2Plug in the value x, y=2, 1=4-2· 122+3· 12=27

Q: Use the equation = E x" for |x| < 1 to expand the function , in a power series with centerc 0. 3-x (...

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Q: *- 2- 2 - - 2 = 0 dx dx

A: The solution is given below-

Q: Find an upper bound on the error that can result if cos(x) is approximated by 1 – (x²/2!) + (x*/4!) ...

A: Given that cosx is approximated by 1-x22!+x44! over the interval -0.7,0.7. It is required to find an...

Q: Evaluate ∫ e^−x2dx as an infinite series.

A: This question is based on indefinite integral.

Q: (x - ky) dx +k(y-x)dy=0 where k 3t7

A: Given :(x-ky)dx+k(y-x)dy=0where k=7+3=10  

Q: For each statement, indicate if it is True or False. Assume x and y represent positive values. v log...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A:

Q: At the point x 2, the function -8 2<x<* f(x) = |x-2 -< xs2 is (a) continuous and differentiable (b) ...

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Q: 3. What is the derivative of y = evaluate the derivative at x = 0, and you are given that g(0) f(1) ...

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Q: x² + y = (2x² + 2y² – x)°, (0, 3) (cardioid)

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Q: SOLUE THE DIFFERENTAL EOMATION 3. D(D + 7D + 19D + 13) y = 0 %3D 11 when x =0,Y=D0,y'=4,4"- -10 find...

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Q: 8.What is the derivative with respect to a of f(x) = (5 – x2)²? оА. (5 — а?) (5 — а*) O B. 2(5 – a?)...

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Q: sinx f(x) = COSX

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Q: Note: If the f(a) and lim f(x) does not exist write DNE. 1. lim f(x) = a-2 2. f(-5) = 3. lim f(x) = ...

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Q: Your elderly neighbor places a bag of corn kernels on your doorstep each morning. The first day, the...

A: Given, number of a kernel of coin on                                  the first day = 11            ...

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C, A and B are constant, C is a parameter

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Q: The function S(x.y)= (2x* + y^ )exp[ y + xy' is homogenous in x and y of degree 2x

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Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

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Q: Solve the differential equation (D3 + 7D2 + 19D + 13)y = 0 When x=0, y=0, y'=2, y"=-12, find y ()

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Q: On a morning of a day when the sun will pass directly overhead, the shadow of a 95-ft building on le...

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the 4...

A: y=6x5+3x4-2x3+5x2-8x+9Differentiate w.r.t.xdydx=6.5.x4+3.4.x3-2.3.x2+5.2.x1-8+0         ddx(xn)=n.xn...