1. lim t0 sint sin(2t) 3. lim 2t 1- cost 6. lim sint

Q: Given the function f(x) = 2x + 16x° + 36x, determine all intervals on which f is both increasing and...

A: f(x) is both increasing and concave up in interval from 0 to infinity...as I have done solution in d...

Q: A house sells for $81528 at the end of 2010 and for $161637 at the end of 2017.   If the market val...

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Q: The integral -8 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution u = c...

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Q: x+1 dx 3. (25 – x²)3/2

A: Solve by separate integral

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: The function f is shown below. What is the value of f(x) dæ? Write your answer in simplest form. Gra...

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Q: [3 – x2, – 1< x < 2 20. If f(x) discuss its continuity and differentiability. %3D 2x – 4, 2 <x< 4

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Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

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Q: The Ideal gas law is given by the equation: pV = nRT where p = pressure, V = volume, n = number of m...

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Q: 4,5in3x =sinx S Sinx(sin?x-\= sin?x. Sinx(sinx-1). COS X tank (sin zx - COS tan-o TT

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Q: Refer to the figure and find the volume V generated by rotating the given region about the specified...

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Q: The motion (s) of a particle can be expressed as a function of time (t). The first derivative of s w...

A: Given

Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,...

A: Topic:- calculus

Q: Find the volume formed by rotating about the y-axis the region enclosed by: 10y and y° = x with y > ...

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Q: Prove the identity It tanh(x) tanh (x), 2x

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: Find the Taylor polynomials of orders n = 0,1,2,3 , and 4 about x = xo, and then find the nth Taylor...

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Q: Plot the graph: y=- cot(x) ; [-x<x < ]

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Q: I. The Fisher effect theorizes that nominal interest rates observed in financial markets must compen...

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Q: 2t es the given condition; r' (t) =i+ te-t"j - =k;r(0) = i %3D t2+1 Vt2+4

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Q: (sec2 0 – sin 0) de sec y (tan y – sec y) dy 1 2

A: Given:- 1. ∫(sec2θ - sinθ)dθ2. ∫secy(tany-secy)dy

Q: Let R be the region bounded by the following curve. Use the shell method to find the volume of the s...

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: sec(Vx) tan(Vx) dx

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Q: Refer to question below. Evaluate d(cos x – x)

A: Anti derivative of derivative .

Q: following

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Q: 22. Find the required derivatives. a) y = (4x3 - 2x + 1)-2; find y b) x = Vy? + 1;find x"

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Q: dy 4x+xy? dx

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Q: S(2y + 3)?/ y+ 2 dy

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Q: 3. Determine whether or not each equation is a function. Justify your answers. a) y =- 2x + 5 b) x? ...

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Q: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: 15. a, = (-1)" 3n-

A: since we are given with multiple number of questions and our guideline is solve the first question o...

Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: Expand (2+V-9) А. 46+9i В. 46-9i С. -46-9i C. D. -46+9i

A: Option (D) correct. For detail go through the solution

Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Given :   Cable weight used 2.5 pounds per foot

Q: 1. Complete the given 2 sets of tables of values to investigate the limits of a function. lim a? – 5...

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Q: Integral of | 4sinxcos cos |dx 1. J sin 9x cos4x dx J cos 2x cos (-x)dx 2. 3.

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Q: 1.) Find dy/dx. Given: x2 +y? = 25 2.) Find dy/dx. Given: x? + y = x³ +y? 3.) Find dy/dx. Given: x +...

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Q: Select the SHAPE that corresponds to the correct answer. Integrate tanh y with respect to p. In Isec...

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Q: Solve f (cosh 4x + sinh 2x) dx then evaluate the answer at x=-7 and C=33

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Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for Sim...

A: Trapezoidal RuleGiven,I=∫02(5t3+7t)dt⇒a=0, b=2, and given n=4.we know that,h=b-anh=2-04h=24h=12=0.5....

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

Q: 4. State the domain and range of the following functions. a) у%3D 5х —4 b) y= Vx-x c) ((x,y)ly = vx²...

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Q: Alice rents a place in Cornelia Street and saw a paper on her desk. It says, "The product of two pos...

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Q: You start driving away from Morgantown at 12:00. Your distance away t hours after you left is given ...

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Q: Sketch the region enclosed by the given curves. y = tan(9x), y = 2 sin(9x), - π/27<x< π/27 y y 3 3- ...

A: Here, to sketch the region bounded by the curves y=tan (9x) &amp; y=2sin(9x), -π27≤x≤π27

Q: 3 (x³-4x)dx

A: