x-1 ifx<0 f(x) = { 2x if 0 1

Q: the followiI 4x-x2 1) lim-4 2-Vx

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: nd the arc length of the parametric curve associated with: t? 4/2 2 3 r (t) = * t3/2, 4t 0 <t< 1. on...

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Q: ) Suppose that {am}n20 diverges and {bn}n20 converges. Then the sequence {am · bn}n20 diverges. 7. I...

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Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: In 2000, 50 grams of radium were stored. The half-life of radium is 1,620 years. How many grams of r...

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Q: A wheel turns 1,800 revolutions per minute. How fast does it turn in radians per second? Type pi for...

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Q: Use the properties of geometric series to find the sum of the series. For what values of the variabl...

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Q: 2. I t/Cos X SinX

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Q: Evaluate the limit t3 – t lim t→1 t2 – 1

A: We have to find the given limit.

Q: 5. Find the domain (D), all asymptotes (VA, HA, or OA), and the holes (if any) on the graph of each ...

A: NOTE: Refresh your page if you can't see any equations. . to find the vertical asymptote, take deno...

Q: Зx+4 dx х2+3х+2

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Q: 9+2u7 Match the integral expression on the left to its suitable transformation on the right, after u...

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Q: dy from the equation vx + y = 1 + x'y² dx Evaluate when x =1

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Q: WHIK the eqation tor the planc thronh Pont to ne -Bi -でiroh 水e5 and nomal

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Q: 23. lim (1 + x)cotx

A: As you have asked for question 23 only. So I am solving that only.   Let f(x),g(x) be two functions ...

Q: If $2,000 is invested at 7% compounded monthly, the interest accrued in 8 years is $1,495.65. True ...

A: Topic = Algebra TRUE

Q: Consider the following vector function. r(t) 4t, (a) Find the unit tangent and unit normal vectors T...

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Q: Solve the initial- value problem: 1: xdy =0 ; y(1) =- xcos ( /x)-y dx + 4

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: The height of the ball f(t)=-16t2+326t+22

Q: 2. Using the definition of derivative, prove the following: 1 (a) f^(x) = if f(x) = Vx 3/x (b) y=sec...

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Q: |S sin(x)e²= dæ = } sin(x)e2 – S e2= cos(x)dæ. S*A):de converges. 1. - 2. |Assume that {an}n20 and {...

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Q: 2. It is easier to find the power or the root of a complex number if the numnber is written in form.

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Q: A culture of yeast grows at a rate proportional to its size. If the initial population is 2000 cells...

A: Here, the initial population given is 2000, and its doubles after 2 hours.

Q: You are given the graph of a function f. Determine the Intervals where f is Increasing, constant, or...

A: Given graph of a function f

Q: Determine whether the series converges, and if so find its sum. 4*+2 '7k-1 k=1 1) This series can be...

A: Given the series is ∑k=1∞ 4k+27k-1

Q: Evaluate the following limits. a. lim?→3 √x^2 −5−2  b. lim?→64 3√x−4  / √x−8

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Q: (1+y² ;+ cosx – 2xy) y' = yly + sinx] ;when x = 0, y = 1 %3D

A: NOTE: Refresh your page if you can't see any equations. .

Q: The limit cim cos CITtht1 reeresents Jerivative of sume function flX) at Some Point X= C.what ale fC...

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Q: Here is the position function for projectile motion on the planet Glorg (gravity is different: g = 1...

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Q: Find A-5B. -7 9-4 6 - 6 B = 3 -4 -9 A= 3 -7 12 15 -10 A-5B% D 11 3. (Type an integer or decimal for ...

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Q: A population of squirrels lives in a forest with a carrying capacity of 1200. Assume logistic growth...

A: NOTE: Refresh your page if you can't see any equations. . the logistic model is given by here carry...

Q: The graph of y =f (x) is given. Solve the inequality. f(x)<0

A: Given that: Graph of y=f(x)

Q: h (x)= 3

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Q: Fill in the blanks: To raise a complex number to a power in polar form, you raise the to the power a...

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Q: Which of the following uses integration by parts? (3) fxlnxcx In x dx ... (1) fxcosx'dx (2) fre*dx A...

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Q: The given function is not one-to-one. 9(x) = (x- 3)2 y 10 -10 -5 10 -5 -10 Restrict its domain so th...

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Q: 25 Select the function that is odd. f(x) = 2cos 2(x) f(x) = 2sin(x) + 2cos(x) f(x) = 2sin 2(x) f(x...

A:  A function f is even if f(-x)=f(x) for all x. A function f is odd if f(-x)=-f(x) for all x.

Q: The percentage of students meeting national mathematics benchmarks on the ACT increased from 40% in ...

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Q: 1. S(x² – 2)² dx

A: Solving the problem by doing the integration.

Q: Find the slope of the function's graph at the given point. 8 Function: g(x) Point of g is at (10, 0....

A: This question is based on finding slope of a given function at a point.

Q: A. Evaluate each of the following definite integrals. 2 S (8x3 + 3x2) dx 1.

A: Given that:

Q: Determine the value of the literal numbers in the given matrix equality. X-5 x+y X-z y+z 9 -7 x+t y-...

A: The order of given matrix is not same, 3*2 and 2*2

Q: The general solution of 4lnxdx- xsec?ydy= A 21n2x – tany = C B 2ln?x+ tany = C (c) 4ln?x- sec?y = C ...

A: We have to solve the question  

Q: Learning Goals: Graph quadratic tion. Use the graph of a parabola to obtain the represented quadrati...

A: Topic:- geometry  Note:- as per our guideline if more than three subparts posted than only first thr...

Q: 2. f(x)=-cos(x+135°)+2 Amplitude.

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Q: Choose the correct graph of y = sin x, - T < x < 2 T; and y = csc x, - T < X< 2T: 2 1 27 -1 -2

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) +...

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Q: Approximate the function h(x)=x- 4xbound at x-0 and x- 2 wing 8 the area undler the area rectangles:...

A: Detailed answer is shown below.

Q: 3. f(x)=-2sin(2x-180°)-1 Amplitude: f(x) Perlod: Vertical Shift: Phase Shift Start: End: Increments:

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Q: Use Gauss-Jordan row reduction to solve the given system of equations. (T y.) 5x - 8y = 7 25x 40y = ...

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is