4. (3a* +23a +10a -21a+58)÷(a+7)

Q: Find the first 4 terms, a10, and a,5 of the sequeñce with the following nth term. a = |(Simplify…

A: The sequence                        an=nn-3, n≥4 then we have to find the first 4 terms and a10 and…

Q: The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can 2632 be…

A: see below the answer and calculation

Q: Question 3 > Use part I of the Fundamental Theorem of Calculus to find the derivative of 14 dt f'(x)…

A:

Q: The buyer for a retail store located in a shopping mall has convinced himself that if he prices…

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Q: /121 - s" 12t – 5t' +9 dt = +C. (b) u14 + 4.5 Jū du =| +C (c) 1 dx = 5x6 +C.

A:

Q: Find and evaluate the sum. 4 k Σ k+4 k = 1 4 k Σ k+4 k = 1

A:

Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: sin vn 2n Determine the convergence of the sequence an . If it converges, find lim an. BIU A E EV…

A:

Q: a. -25 -5 b. -40 3. с. 40 0 d. 25 13. A bug is moving with velocity v(t)=t - 6t +8 for t2 0. Find…

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Q: A woman wants to construct a box whose base length is twice the base width. The material to build…

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Q: 16. (sec x) dy ev+sin x || dx

A: Given query is to find the solution of the differential equation.

Q: POS jma- 3 d 1 sin t dt %3| dx 1 1 (A) – x sin(x²) (B) sin(x²) (C) x sin(x²) (D) –sin(x²) ов O O O O

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Q: (a) -dx = +C. (b) -3 sinx +3 cos x dx = +C (c) -4e dx = +C.

A:

Q: 6х3-5х2 +9х+15 Зx+2

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Q: Find a gradient of the equation: F(x,y) = v2x + :- y sin a + 4 VF =?

A: Here, the given vector equation is: F(x,y)=2x+xy-y2sin x+4

Q: Use long division of po

A:

Q: Sketch the region from the first quadrant, bounded by y = 2x2, x = 0, and x- 2y + 3 = 0, and find…

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Q: Question 8 Evaluate the integral below by interpreting it in terms of areas. In other words, draw a…

A:

Q: Find the derivative w = sin* y cos*y a. sin³ 2y cos 2y b. sin² 2y cos 2y c.sin 2y cos 2y d. sin 2y…

A:

Q: Find

A: We will find the derivatives.

Q: Find the area of the region between the following curves by integrating with respect to y. If…

A:

Q: The function f(x) = 6(x – 5)²/3 increasing on the interval and is decreasing on the interval The…

A: f(x)=6(x-5)23

Q: A manufacturer believes that the cost function C(r) 3 +51z + 680 approximates the dollar cost of…

A:

Q: -ide each of the fol x-4x²+2x-3 x+2

A: Solve the following

Q: 11. Use the definition of the derivative to find f'(x) for the function f(x) = x2 + x + 2. Show your…

A: We have to find the derivative of the given function.

Q: Find the maximum and minimum values of the function g(0) = 30 – 8 sin(0) on the interval [0, T]…

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Q: | 121 – 51" +9 dt = +C.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider a closed rectangular box with a square base with side z and height y. a. Find an equation…

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Q: 0 (x-2)k 2k=1 Vk 00

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Q: Determine the area enclosed by f(x) = a° + æ? – æ + 7 and g(x) = æ³ – 2a + 27. The region in…

A: Here  we have to find the area bounded by the curves.

Q: く > = + 5) = hter DNE. Be sure to enter any numerical answers

A:

Q: Consider the integral / 3x* (25 + 1) dz. In the following, we will evaluate the integral using two…

A: ∫ 3x4x5+1dx=3·∫ x4x5+1dx=3·∫ x9+x4dx=3∫ x9dx+∫ x4dx=3x1010+x55Add a constant to the…

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A: Find time t. Given rate r=12% Compounde interest formula A=P(1+r/n)nt Amount = 2P

Q: The graph below is the function f(x) 5+ 4 3 -5 -4 -3 -2 -2 -4 -5+ Find the following. If no value…

A: Given problem :-

Q: Find parametric equations for the tadgent line to the curve with the given parametric equations at…

A:

Q: 1)2xsin-13x

A: Given     write

Q: What is the equation of the tangent line to the curve defined by the given function at the point…

A:

Q: 17. Use L'Hôpital's Rule to evaluate the limit lim(x)1/x). Write oo if the limit is infinite.

A: Given query is to find the value of the limit.

Q: Evaluate the following integral: n(x' dæ = 因团 +C (Note, an arbitrary constant of integration has…

A:

Q: (a) Explain why the function f(x) = e² is not injective (one-to-one) on its natural domain. (b) Find…

A: We are allow to solve only three subpart.  If you want rest of part please upload separately

Q: Evaluate the definite integral. i+e"j+t – (e~1 – 1) j + 5 i-ej+: (e – 1) i – (=" – 1) j + -1)j+극k i+…

A: We have to find the solution of  integral

Q: The function f(x) = 6(x – 5)2/3 is increasing on the interval %3D and is decreasing on the interval…

A: We are allow to solve one question and three subpart of question only so if you want rest of…

Q: F(x)= x-2 / x^3 F'(x)= 6-2x / x^4 F''(x)= 6x-24 / x^5  1. Find the local maximum and local…

A: To find local maximum and local minimum  and inflection points of given function.

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for – o. За3 8x? 5x | (а) lim 8 8x…

A: Solving

Q: d'y-2 dy t g = e dx² ニ dr

A: We will solve the problem.

Q: x+1 2)y = ln Vx-2

A:

Q: Sind the a rea betwee h 2. メニリ and メ=9で

A:

Q: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

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Q: Find the radian measure of the central angle of a circle of radius 3 meters that intercepts an arc…

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Q: 5. Evaluate each of the following integrals. (a) dr. (b) Vr2 +9 dx

A: LetI=∫x32x4+13dxPut 2x4+1=udifferentiate  on both side8x3dx=dux3dx=du8ThereforeI=∫1(u)3du8Take the…