Let f (x) = V. Find the smallest number 6 such that if |a- 8| <8 then |f(x) - 2| < 0.1. Round answer to 3 decimal places.

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Q: Question 8 (sin(Inx"))³ Which of the following is equivalent to the integrand of 7cos (In(x³)) + cos...

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Q: dx A D +C 3 B.

A: The given integral,        ∫e4x+1e2xdx

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A: Follow the procedure given below.

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A: Here we have to find the antiderivative of the following function.  1) f(x)=24-x22) f(x)=4x2+43) f(x...

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Q: Look for three (3) mathematical formulas related to your chosen field like engineering, health scien...

A: Formula 1: y=mx+b y=mx+b  is slope intercept form equation of straight line. So it is used for findi...

Q: correct. Canvas uses right minus wrong scheme in che Question 1 IP 15x³ 3x°t is a xp (Choose all app...

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Here we have to find the true or false statements

Q: r nosへSう'" ( メンン 2 COS(SIn (x))

A: Let, cos(sin-1x)=t⇒sin(sin-1x) 11-x2dx = dt⇒x11-x2dx = dt...(1)

Q: 2x2 + 2x+1 dx. x+1 Evaluate: e

A: Please see the answer below.

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. + 2)3/2, 2 < y <...

A: To find the exact area of the surface

Q: Vil 12 sin (x) cos' (x)dx by using walli's formula. 27. a is equal to? A.1 B.O C.1/10 D.pi/2 The def...

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Q: Let {an} be a sequence of non-negative numbers. Suppose that the sequence {an} converges to a > 0. S...

A: Let {an} be a sequence of non-negative numbers.

Q: - In y = e' sin x

A: We have to find dy/dx of the above equation.

Q: What is the equation of the family of parabolas with vertex and focus on the y-axis? A (x- h)? = + 4...

A: The equation of the family of parabolas with vertex and focus on y axis

Q: C -dx(use 2 decimal places, no 5+x Let * = 2.06, and y = 1.32. Determine the value of when you evalu...

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Q: 2x2+ 2x+1 x+1 Evaluate: Je dx. A x2 + In|x+1| + C 1 + C x+1 C None of the given choices * + In|x+1| ...

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Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D...

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute : cos(4x+3)=td(cos(4x+3))=-4sin(4x+3)dx=dtdx=-...

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A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the amou...

Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: We want to find the distance travelled by the kite. 

Q: Lessoh 12. In each graph, a parent function has undergone a transformation of the form f(kx). Determ...

A: we have to consider the points which both the red and green graphs are passing through. then we have...

Q: csc2tdt In csc2t- cot2t +C A) True False

A: topic - indefinite integral

Q: evF dr S. A) 2 +1 В 2 +1 (D

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Q: Vx + sin/x dx. Evaluate: None of the given choices в x- 2cos/x +C 2x+ cos/x + C D x+2cos/x +C 2x- co...

A: Let's find. 

Q: Solve the differential equation:COsx dx +[sin(x+y) + sin(x – y)]dy=0

A: Given, cosxdx + [ sin(x + y) sin(x- y) ]dy = 0 we have to solve the differencial equation

Q: Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x- 0.1x2 a. Find the avera...

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Q: tan3x)dx tan Evaluate: cos23x A - In|sec (tan3x)|+C - In|cos (tan3x)| +C B © In cos(tan3x)| +C in se...

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Q: 7. Determine the measure of an edge of cube whose total surface area is 150in.

A: the total surface area of a cube=6a2

Q: Evaluate: Sv*+sin/x dx. A x+2cos/x+ C 2x+ cosx B + C 2

A: We have to solve the integral

Q: Evaluate: tan( 4x- -In |cos (4x + 3)|+C B -In |sin(4x + 3)|+C -In |cse (4x + 3)|+C -In \sec (4x + 3)...

A: the given integral,        ∫tan(4x+3) dx

Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilater...

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Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: x--x+1 Evaluate: dx A 2,½_2,½-22+c 3 B 2 2 2

A: We have to find out the solutions

Q: 12. e-v dy

A: Integrate e-√y w.r.t. y from 0 to infinity. 

Q: Find the correct u and du then find the equivalent.

A: All option given is in terms of x only but i correct for variable u and t. 

Q: How many tangent lines to the curve y = pass through the point (1, 2)? x + 6 At which exact points d...

A: Using y-y1 =m(x-x1 )  where m is the slope of given equation.  Therefore there are two tangent lines...

Q: The time rate of change of a rabbit population is proportional to P^(3/2) . At time t= 0 days, the p...

A: Please see the below picture for detailed solution. 

Q: Which of the following integration expression can be transformed into integral of power Ju"du), (Cho...

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Q: / (cos0 + tan@ ) dô | (seco + tandsec20) do cos20 A True B) False

A: Left Hand Side    =∫cosθ+tanθcos2θ dθ                   = ∫cosθcos2θ+tanθcos2θ dθ             =∫1cos...

Q: Research five'examples of the use of extreme value theorem in real life. Write your answers on a sep...

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Q: sin- In?| 4+ tan-'cos- dx 2 COs- 1+ cos 4+ tan-'cos In2 4+ tan-'cos- dx 2 2sin- 2 (A) 4+ tan-'cos- 2...

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: 3x3 -5хе^ + 2хcos(x) Evaluate:

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Q: IV. sec (3x) tan(3x) 12. Value of "F(b)" D. 1 A.0 Value of "F(a)" A.0 B.-2/3 C-2/3 13. B.-2/3 C-2/3 ...

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Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

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Q: Which of the following integration expression can be transformed into integral of power 2 dx (A) 1+4...

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Q: A. Fill in the tables and guess the value of the limit. 1. lim f(x), where f(x) = х3 — 1 x2 -1 %3D f...

A: Given that        f(x) = (x3 - 1)/(x2 - 1)  Here we have to find            limx--&gt;1 f(x) .