Please do number 9

Q: Set up the definite integral that gives the area of the region. Yı = (x – 7)3 Y2 = x – 7 dx J6 y 1.5...

A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

Q: Write the first five terms of the sequence: {Vn² + 7n – n}n=1 Determine whether the sequence converg...

A: The given sequence n2+7n-nn=1+∞

Q: A ball thrown vertically downward from the top of a building at a velocity of 64 ft/sec hits the gro...

A: Projectile motion 

Q: dy (2a³ – 3x²y + y³) 23 – 6x²y + 3ry? dx %3D

A: This question is based on solution of homogeneous differential equation.

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

A: The given question can be solved as shown in step2.

Q: Implicitly derive all variables in terms of x. Equate the derivative in terms of y'. Simplification ...

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Q: Evaluate and state limit laws used

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Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

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Q: Let 3z - 4x2 for z <0 3z2 + 3z forI20 | f(z) = { %3D ccording to the definition of the derivative, t...

A: Topic  =Limits

Q: The set of complex number, write in roster method (at least 10 elements) and set builder notation

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Q: Question Select the correct category for each item. 2, a 2 whether each of the given limits exists o...

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Q: 22. State True or False. Let f(x)=sin'(x) + log(x) then domain of f(x) is (-*, ). a) True b) False

A: To check whether the statement is true or not. The statement is Let f(x)=sin2x+logx then domain of f...

Q: In Exercises 11-18: (a) Find the domain D of the given function. (b) State whether D is an open or c...

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Q: 3\k-1 Determine whether the series E=1l-) 4 converges and if so, find its sum. 7/2 4/7 714 5/7

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Q: Show if the differential equation is exac

A: Given that: (2x3-3x2y+y3)dydx=2x3-6x2y+3xy2

Q: 6. A water tank is shaped like a cone with the apex point at the bottom, where the cone has radius 5...

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Q: Based on the graph, fill in the table with the appropriate values lim f(x) f(c) -2 -1/2 1 3 4

A: Given

Q: c) h(p,g,0) = psin@cose ah sin@cos0 ; ah = pcos@cose answer: - %3D ah =-p sinøsin0 d) W(P,V,8,v.g)= ...

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Q: EVALUATE AND SOLVE THE LINEAR DIFFERE NTI AL EQUAT O (05 - 150° + 10b* + GOD -72) y 2 12

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Q: 4.cos(x) Let f(x) = and calculate sin x f(x) dx by using integration by substitution. What was your ...

A:

Q: e

A: We need to evaluate integral.

Q: 1 3. lim x0 1-cos x =too -0.1 -0.01 -0.001 0.001 0.01 0.1 f(x)

A: Let's find. 

Q: The distance, in feet, a moving object has traveled after t seconds is given by 3t/(4 + t). Find the...

A: We can find the required acceleration as below.

Q: Given y = f(u) and u = g(x), find dx = f'(g(x))g'(x) for the following functions- y = sin u, u = 4x ...

A: Please see the solution given in step 2

Q: A function f is differentiable at a number a.. A. ... if lim f(x) = f(a), f(z) – f(a) B. ... if lim ...

A: topic - condition for differentiable function

Q: Derive y: x+, y = (sin((x² – x)*))x²+x %3D

A:

Q: Example 2: The position of a particle moving along a coordinate axis is given bys(t) = t° = 9t? + 24...

A: Given that: s(t)=t3-9t2+24t+4, t≥0

Q: floor refinishing company charges $1.87 per square foot to strip and refinish a tile floor for up to...

A: (a) To find: The equation for the amount C they will charge to refinish a floor when x≤210 Given inf...

Q: Differentiate...

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Q: es from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected V...

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Q: nsw

A: [16+(-4)](-4)

Q: The size of a certain insect population is given by P(t)=400e population equal 2000? 011 where tis m...

A: Given that: Size of population at any time t, P(t)=400e0.1t

Q: (g) sin vt dt.

A: Intigrating the given equation. 

Q: Evaluate cosh jin 3 decimal places.

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Q: sinh(2 In(c)) = (A) 를 + (B) c² – (C)를 높 2c 1 2c2 (D) c -! 1 (E) 0

A: Topic = Functions

Q: Find the General Solution: y" - 3y' + 2y =4e ** -4x

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Q: Problem 4 Show that arcsinh(x) = sinh(x) = In (x+ V/x² +1). %3D int: Let y = sinh¬' (x). Then x = Iv...

A: Topic:-  trigonometry

Q: Determine the sum of the measures of the interior angles of the indicated polygon. Octagon The sum o...

A: topic- polygons and angles

Q: 7) In Problems 7 through 11 given f(x) and g(x) are Continuous and Differentiable EVERYWHERE with th...

A: Since you have posted multiple subparts question in this question which are not interlinked so i hav...

Q: 4x3 + 2x + X 4. lim X→-4 X -3

A: 4. As per our guidelines we are suppose to solve only first question if the multiple questions are p...

Q: ite the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer ...

A:

Q: From a point A the angle of elevation of a mountain is 14.3 degrees, and from a point B, directly be...

A: From the given information, we have to find the height of the mountain.

Q: Evaluate the integral: /V13 – 49a*dæ

A: Integration

Q: tan x sec xdx

A: Follow the procedure given below.

Q: 2) Find the symmetric equation of the line containing the point (1, 2, 1) and perpendicular to the p...

A: consider the direction ratio of line  contaning the point ( 1, 2 ,1 )  is  l , m, n 

Q: 4t2+3t sin t 2. lim t 0 t2

A:

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818...

A: Let x=0.904818181818... Multiply 1000 on both sides.

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

A:

Q: 10) Find lim [ g (x-2) / f(x) ] = _ A) 3/ 7 B) 1 C) 7 D) 7/ 3 lim g(8x-f(x+2)) = X 1 11) Find A) 1 B...

A: We have to find the value of the limit                                  limx→3g(x-2)/f(x)       and ...

Q: x +1 if r -1 Determine if lim f(x) exists. 2-1

A: