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Q: Use the indicated substitution to evaluate the integral. 2x cos(x) dx , u = x' sin (x²) + C 2 sin (x...

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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: (y – sin? x) dx + sin x dy = 0 2

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Q: 2. Let R = {(1, b) ERX R: there is an integer k such that a – b = 2kn}. Prove that R is an equivalen...

A: us the definition of reflexive , symmetric and transitive property of relation to prove it is equiva...

Q: Gordon is twice as old as Tony when Gordon was as old as Tony is now. The combined age of Gordon and...

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Q: x In(x) dx, where x >0

A: Given query is to eveluate the integral.

Q: х*+ 4x2-9х-36 3. у %3 4x2+28х+48

A: First we simplyfy then taking derivative. 

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

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Q: 1000 The logistic growth model P(t)= represents the population (in grams) of a bacterium after t hou...

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Q: iven f(x) = Find x+h)-f(x) h+ 0. h

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Q: 5. Find the Curvature of ř (t) = L", Int,tInt) at the point (1,0.0)

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

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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: (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: 28. Sketch the graph of 2x + 4y + 3z 12.

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Q: 2. 3. yo. %3D CX %3D

A: Let's find. 

Q: Evaluate the following integrals of inverse trig functions. NOTE: SHOW COMPLETE SOLUTIONS 1.∫ sin^...

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Q: Question 6 Consider the function below: sin(x²+y) { (x, y) # (0,0) (x, y) = (0,0) f(æ, y) y-x Find t...

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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: Evaluate the iterated integral | (a+ 2y) dyda. Give your answer correct to 2 decimal places.

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Q: 7 lim 『ストフ-2 X + 3 メy-3-

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Q: 4.x+xy? y-x²y ,2 dy dx

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Q: 3. x/1+x° 1 dx (use trigonometric substitution)

A: sec2θ -tan2θ =1 ∫cosec(θ) dθ = 12lncos θ-1cos θ+1+C

Q: ve f (cot x + tan x) dx then evaluate the an

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Q: 3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

A: Let's find. 

Q: х+1 3. J 25 – x²)3/2

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Q: 12. Solve the following inequalities. a) -7x + 8 < 4x - 2 b) (3- 4x)(x + 1)(7 – 2x) <0 6x-9 c) 3x-2 ...

A: For (a),     -7x+8≤ 4x-2⇒-7x≤ 4x-10⇒-11x≤ -10⇒x≥1011 For (b),     3-4xx+17-2x≤ 0⇒x≤ -1  or  34≤ x≤72

Q: x3 , which Consider the plane region bounded by the curves y? intersects at point (0,0) and (1,1) Fi...

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Q: Use integration by parts to evaluate the definite integral. 8t² In(t)dt Give an exact answer

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Q: 10 10 Evaluate 5x dx using the trapezoidal rule and Simpson's rule. Determine The value of 5x dx is ...

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Q: 14. Eväluate the following imits. 3x2+2x+1 lim x3+3x+2 c)

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: about the y-axis

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Q: Solve for the differential equation

A: Note: In the first question given equation is not clear as only left hand side of the equation is gi...

Q: 3 lim f(r) エーC lim g(r) 12, and lim h(r) = -3. エーHe エー Compute the following limits: a. lim(-4 f(r))...

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Q: Solve the following equation for x. log5(2x) + log5(3x) = 2

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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: 4ー npaメ lim メ-2

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Q: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

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Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) - 3ln(x-...

Q: Given cost and price (demand) functions C(q) = 100q + 43,000 and p(q) = - 2q + 880, what profit can ...

A: Given :cost price (demand) functions C(q)=100q+43000 andp(q)=-2q+880, company earn by selling 50 ite...

Q: 14. Evaluate the following limits. (3-x+x2, 5x+1Y e) lim 2x y-0+ 5x-7 lim 2 f) X0o ( 3x2 x sin x lim...

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the r...

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Q: B. Odr + (2r +1- Or) d0 = 0

A: θdr+(2r+1-θr)dθ=0drdθ=θr-2r-1θdrdθ=r-2rθ-1θdrdθ=r(1-2θ)-1θdrdθ-r(1-2θ)=-1θdrdθ+(2θ-1)r=-1θ It is a l...

Q: b.2 cos2 3x + sin3x = 1 %3D

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Q: Here is a graph of the function f. Español Use the graph to find the following. If there is more tha...

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Q: tate the domain and range of the following functions. y = 5x – 4 y = V - x {(x, y)ly = Vx2 – 16 %3D

A: Given problem is :

Q: The functions f, g, and h are defined as follows. f(x) = - 6-4x g(x) = -5|-5+x| h(x) =-4+/x-3 Find f...

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Q: If you integrate the below integral successively for FIVE TIMES, how many terms including the C will...

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Q: Express the composition W (x) in the form f • g • h. W (x) = - 7 х — 7

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Q: 2. Let a > 0. Find formulas for the following indefinite integrals (these are not all inverse-trig i...

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines...