Regian bounded by y-x and y=X+2

Q: 10. Do the required operations and simplify. State any restrictions. (x+1)? (x-1)2 a x2+2x-3 x2+4x+3...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: The function k(x, y) = e cos(2x) has a critical point at (0,0). What is the value of D at this criti...

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Q: ,2 + 5х + 4 f(xæ) х — 1

A: For x-intercept substitute f(x)=0⇒x2+5x+4x-1=0⇒x2+5x+4=0⇒x2+4x+x+4=0⇒x(x+4)+1(x+4)-0⇒(x+4)(x+1)=0⇒⇒x...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: 1) Evaluate the absolute extrema of the following functions on the given interval. S(x)=(x² +3x)³ [-...

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Q: here having a radius of 3cm. is cut in the shape of a circular cone of maximum volume. is the maximu...

A: Topic:- application of derivatives

Q: For each of the following vector fields, find its curl and determine if it is a gradient field. (a) ...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: the following equation. N(t) = 1.1375t2 + 0.25t + 4.6    (0 ≤ t ≤ 4) Here, t is measured in years, w...

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Q: x² + 2x² + x lim X→-6 -3x²

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Q: Find the volume V of the described solid S. The base of S is an elliptical region with boundary curv...

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Q: Question 4 P4.5 If the 3rd term of a geometric progression is 52 and the 7th term is 832, then find ...

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Q: " sin²(x) + sin(x) cos²(x) To evaluate the -dx using basic formula of integration (without using sub...

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Q: Find y". y = edx sin Bx y" =

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Q: Determine the value of , f(x)dx given that f(x)dx = 3 and f(x)dx = 8.

A: Question no. 2,Given,           ∫52fxdx=3 and ∫59fxdx=8To find : Determine the value of ∫29fxdx.

Q: A population is modeled by the differential dP equation dt 0.5P – 0.001p² The population is at equil...

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Q: dw when r= 3 and s = - ar 3 if w = (x+ y + z)“, x=r-s, y= cos (r + s), z= sin (r + s). Find

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Q: x2 + 4х + 3 23. у %3

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Q: Find the circulation of the fieldF = (x2 - y)i + 4zj + rk around V? + y?, the curve C in which the p...

A: Field F→=x2-y i^+4z j^+ x2 k^Surface S is cone z=x2+y2at plane z=22=x2+y2x2+y2=4So, f=x2+y2-4

Q: Functions f and g are defined by g(x) = v-x+4, x<4; X e R h(x) = 2e*, x20; xe R (a) Find the composi...

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Q: P = The series converges absolutely. The test is inconclusive.

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Q: Let v be the blue vector drawn at point P. It is tangent to the level curve marked 7. What is Dz f(P...

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Q: 7. An open rectangular box having a volume of 9 m is to be constructed from a tin sheet. a) Show tha...

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Q: In the given choices, what is not part of the formulas or functions of Integral? A Power function B)...

A: Given :Formulas or funtions of integral 

Q: 3.Determine the convergence of the following series. For a series replace sign, if it converges, Als...

A: a) ∑n=1∞15n3+2n

Q: 4. The two sides forming the right angle of a right-angled triangle are denoted by a and b. The hypo...

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Q: 2.Determine the convergence of the following sequences {b»} = (1- ).(§-).(E-9.(G-).-.

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Q: "sin²(x) + sin(x) os²(x) To evaluate the -dx using basic formula of integration (without using subst...

A: Let's find. 

Q: (In 10x+4lnx) "dx Identfy the correct u A Inx B In°x+4 In x

A: topic- definite integral

Q: Determine whether the alternating series converges. 00 31n k E(- 1)* k k=3 O The series diverges. O ...

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Q: (a) State the Integral Test and use it to test the convergence or diver- gence of the series: Σ (1/n...

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Q: Consider the following sequence: ta) - { (-1)+1 {a,} n2 n=1 (a) Write out the first five terms of th...

A: (a) Given: sequence is &lt;an&gt;=-1n+1n2n=1+∞and can be expressed in the form of set as,&lt;an&gt;=...

Q: (b) Find the volume of the region D bounded in back by the plane r 0, =0, 1-y, on the top by the par...

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Q: of find and of For the function f(x,y) = x+ 8y ду

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Q: 1. = fVx*- Jーxa 4 %3D - 2. (x? +1)²(x+ 2)dx 2х-4 dx 3. V x-4x+1

A: 1. ∫x2-x4dx  

Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west a...

A: Given: Two cars start moving from the same point.One travels  south at 16m/h and the other travels w...

Q: 6. Se¯*tane¯*sec?e¬*dx

A: To evaluate: I=∫e-xtan(e-x) sec2(e-x) dx=∫tan(e-x) sec2(e-x) (e-x)dx...(1)

Q: On a spring day the temperature in degrees Fahrenheit is given by ? = 50 + 1.2ℎ, where ℎ is the numb...

A: T = 50 + 1.2 h  .....(1) where h, is the number of hours since noon. h = 0T = 50 + 1.2(0)TInitial = ...

Q: For the function f(x,y,z) = In (6x + 7y + 4z), find fx, fy, and f,.

A: Given: f(x,y,z)=ln(6x+7y+4z)To find the fx, fy, and fzddx (ln x)=1x  

Q: 1. Use any appropriate method in finding the indicated solution of the following differential equati...

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Q: Find the derivative of: 4√x

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Q: dx Find 1+tan x

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Q: Find the indefinite integral. sin 60 v cos 60 de Step 1 To solve the integral | sin 60 v cos 60 d0, ...

A: We can solve the indefinite integral as below.

Q: Let f(x) the function defined below, where -1 < x < 1. TX f(x) = 2 + x2 + tan 2 (a) Find f-1(2). (b)...

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Q: Assignment No. 2: Determine the derivative of the ff. functions 1. y = 6x4 + 7x3 - 8x² + 9x - 10 2. ...

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Q: 9. Prove the following algebraic identity: (a - b)(a? + ab +b?)=a' -b'

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Q: dx Maybe used: sin(x – y) : 1. JTV#² + x + 1 sin a cos y – cos a sin y

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Q: Let f(x)=(x−7)(5x+3). Find an equation for the tangent line to the graph of f at x=11. Find the poi...

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Q: 11. Describe how you would simplify the following expression. x- 1 3 2x - 4 4 x +1

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Q: mor lo1 tan x 47. lim 7/4 sin xr-cos x

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