(d) lim x3 x² - 6x +9 x² - 5x + 6

Q: 9 A body moves on a coordinate line such that it has a position s= f(t) = - a. Find the body's…

A: NOTE: Refresh your page if you can't see any equations. . the given position function is  and the…

Q: Calculate the iterated integral. 7)(0)(0/1)(x/√1-y²) ysin(x) dzdydx

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Q: Find the value for the function. 20) Find f(x + h) when f(x)=-3x2 + 2x + 5. A) -3x2 - 6xh-3h² + 2x +…

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Q: S14 = a₁ = 72, d = 14, n = 14 Need Help? Road 16 Watch It

A: Given query is to find indicated sum.

Q: A company manufactures and sells x pocket calculators per week. If the weekly cost and demand…

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Q: 7. Find the first five terms of the following sequence: an = 2a1 + 3 a₁ = 2

A: an=2an-1+3a1=2for second term put n=2a2=2a2-1+3=2a1+3

Q: Evaluate the line integral, where C is the given space curve. √(x² + y² + z³) ds, + y² + z²) ds, C:…

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Q: For the function f(x) = -5x² +1, compute the limit lim f(x+h)-f(x) h

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Q: Math 2E- Fall 2022 Final - Page 7 of 7 7. (10 points) Let S be the half of the ellipsoid 4x2 + y² +…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: x(t) = t³ − 4t² + 1 and y(t) = t³ - 5t² + 2t + 8 At t = 2, x (2) y(2) = dx dt = |t=2 =

A: Since multiple subparts are asked,I am answering first 3 subparts.

Q: Find the integral. dx 11 dx 喘口 11

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Q: Find the integral. (9x² - 9x+3) dx (9x² - 9x + 3) dx =

A: The answer is given in step 2

Q: Which of the following is the simplified expression of 1- 1 sec O sin²0 O cos²e O tan²0 O sec²0 -…

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Q: Question list O Question 1 O Question 2 O Question 3 O Question 4 K Find dy dx 경기 dx for y=√u and u…

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Q: 14. 15. Find the area bounded by y=-x² and y=2x. Find the average value of y=4x³ + 2x over [-2,5].

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Q: Find an equation for the plane that is tangent to the surface z = In (x² + y²) at the point…

A: NOTE: Refresh your page if you can't see any equations. . so the function is  and the given point…

Q: 6. The general term of a geometric sequence is t = 2(3)***, where is a positive integer. Show all…

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Q: Determine the interval(s) over which f(x)= (x - 4) ^3 is concave downward

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Q: Regions in Polar Coordinates In Exercises 1-8, describe the given region in polar coordinates. 2. X

A: Consider the figure below:

Q: The area of a square is increasing at a rate of 64 centimeters squared per second. Find the rate of…

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Q: I Which of the following shows the simplified function of csc x sin 2 01 O-1 O tan x O cot x

A: Given query is to find the value of the expression

Q: Find the area between the curves. x = -5, x=2, y = 2x² + 2, y = 0 The area between the curves is…

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Q: Use the trapezoidal rule with n = 4 to approximate S 1 cos(x) X dx

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Q: sin [Arccos (-1)] 2

A: Given  sinarccos-12 We can write it as sincos-1-12

Q: [²r(x) dx where 0-{²_, f(x) if -2 ≤ x= 4-x² if 0<x=

A: Topic:- application of integration

Q: @ellipse that has a center (6,1) focus (10₁1) and Vertex (1,1) P.S. C (x-3)²+(1-0)² 1 2 132 A² A?…

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Q: iven the sequence an (n+1), what is a100?

A: Given query is to find indicated term.

Q: cos [Arc sin (-1)]

A: We can evaluate the answer in the below steps.

Q: x = y² and x = 9 YA 4 2. 0 -2- 4 x = y² 2 4 6 + 8 x = 9 10X

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A: Given query is to find the integral.

Q: Assume p and q are real numbers. Suppose you want to prove that Select all that apply. a a In (²) ²)…

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Q: For the following expression, find the correct partial fraction decomposition. 6x² 13x +31 (4x 1)…

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Q: K Find the derivative. f(x) = 8√√9x² +3 f'(x) =

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Q: Evaluate the double integral. 11 SY√2²-y² DA, {0x110≤x≤2,0<<*} D = = {(x, y) 10 ≤ x ≤ 2,0 ≤ y ≤ x} J

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Q: The angle addition formula for cosine is cos(a + B) = cos a cos ß F sin a sin ß. Use this formula to…

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Q: Find 11 circular arcs. a. f(x) dx for each graph of y = f(x), where f(x) consists of line segments…

A: Part b of the question has been solved as per the requirement of the student.

Q: Find the equation for the parabola that has its focus at the (- 5 4 For the toolbar, press ALT+F10…

A: We have to find equation of parabola by focus and directrix.

Q: Suppose you are designing a rectangular box with a square base. The materials of which the base and…

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Q: suppose that Σ n=1 sum of the series: A. B. an = - 7 and Σ. (2an + - 50) - n=1 Σ (2an + 5bn) : = n=2…

A: The given data is: ∑n=1∞an=-7∑n=17bn=7a1=-6b1=3  A) To find the value ∑n=1∞2an+-5bn

Q: an = n! To obtain an+1, replace n by n + 1 in the formula. (n+1) n+1 (n+1)! an+1 Thus, for n ≥ 1…

A: In this question, we want to explain the critical steps ( The step which is asked to explain)

Q: of Əf Find and for the following function. ax ay f(x,y)=x²-7xy + 7y² ax ||

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Q: [13xy dx + (x+y)dy C for the path C. boundary of the region lying between the graphs of y=0 and y =…

A: L

Q: Consider the integral [ b 9₂(y) a= 91(y): f(x,y) dxdy f(x, y)dyda. Sketch the region of integration…

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Q: The projected population of a certain ethnic group (in millions) can be approximated by p(t) =…

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Q: Find the slope of the tangent line to the curve x² + xy + 2y² = 28 at the point (-2,-3).

A: slope is  dydxdxndx=nxn-1d(a.b)dx=adbdx+bdadxdconstantdx=0

Q: y = (x − 2)² + 2

A: The given function y=x-22+2. We have to sketch the graph of the function.

Q: Evaluate. 5 S (5x³+7) dx 3 5 [(5x³ + 7) dx = 3 (Type an integer or a simplified fraction.)

A: The answer is given in step 2

Q: A railroad's track can be determined using the following graph. Part A: A highway's path can be…

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Q: A lamina occupies the part of the disk x² + y² ≤ a² 42)(a) Find the centroid of the lamina. (b) Find…

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