1 d.x x/1+ x6

Q: GENERAL INSTRUCTIONS: 1. Find the Indefinite Integral 2. Show your solution legibly on a short bond ...

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

Q: 4.Sin3x-sinx CoS X S Sinx(Sin?x-)) Sini(sinni1). Sin ?x. tanx (sin zx -1) $in=t1 COS tan-o

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

A:     ∫1e8t2lntdt=8·∫1et2lntdt=813t3lnt-3·∫t23dt1e=813t3lnt-3·t391e=813t3lnt-t331e=82e39+19=82e3+19

Q: cof z-csc z dx So 2cotzcosz

A: a detailed solution is given below 

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A: Given query is to find the height of the ball when it's fall with the rate of 120 ft/sec.

Q: Relation 1 Relation 2 Domain Range Domain Range j y O Function O Not a function O Function ONot a fu...

A: A relation R from A to B is a function if each value of A is mapped to only one value of B.

Q: Evaluate the indefinite integral (t)cos (t)dt

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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: 19. Differentiate the following functions. g) y = 2 h) y = xsin-1x+ V1- x2

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Q: First make a substitution and then use integration by parts to evaluate the integral 9x³e*´ dx Note:...

A: A detailed solution is given below 

Q: The function f is shown below. What is the value of | f(z) )dx? Write your answer in simplest form. ...

A: Topic:- integration   

Q: (0 -20 +2) y - 24esin 3x when x=0,y-0,y'=0

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Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

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Q: 8. Find the limit, if it exists, or show that it does not exist: 2х-у a) lim (x,y)→(1,2) 4x²-y2 ху+у...

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Q: Solve the given differential equation (3x-3y-2) da – (x – y+ 1) dy = 0 %3D | |

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Q: 18. Differentiate y with respect to x using A-method. a) y = x³ + 2x? - x+ 5 b) y = ax*, where a is ...

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Q: f(x, y) = 2x- xy + y, find (a.)and (b.) at (Xo, yo) didirectly from the definition. dx dy

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Q: Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + at

A: Given:To Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + atSince  we know that, number of independen...

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A: Decay function is given by y=a(1-b)t where a is initial amount          b is decay factor          t...

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: 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: If z = eax+by az then a az is ay

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: Given the graph of the cosine function f (x) = cos x, evaluate the following limits: 27 ........ -1 ...

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Q: 3. The sides of a triangle are given as 3x, x+1 and 3x-1. If the perimeter is 56 ft, find the area. ...

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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: — 3 6 -4х + 10у 2x – 5y = 3

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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: Use cylindrical shells to find the volume V of the solid. The solid torus (the donut-shaped solid sh...

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

A: Topic:- calculus

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: Use the difference an+1 - an to show that the sequence | {n – 9"}+x Sn=1 is strictly increasing or s...

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Q: S Vx + 3(x + 1)dx

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

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Q: 2. Complete the given 2 sets of tables of values to investigate the limits of a function. lim f(x) i...

A: To complete the given 2 sets of tables of values to investigate the limits of a function. limx→3 fx ...

Q: 3. 2t t dt ST-t

A: To integrate the given vector function. ∫te2t, t1-t,11-t2dt...(1)

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

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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: The accompanying table shows the velocity of a model train engine moving along a track for 10 second...

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Q: Evaluate the integral dx et – e-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: 2. Find the slope of the curve y? = 3x 1 at the point (-0). Draw the graph of !! the curve.

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Q: For the vector-valued function r, carry out the following steps. a. Evaluate lim r(t) and lim r(t), ...

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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