X x²dx 5+ x2

Q: A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of...

A: The objective is to solve the above questions.

Q: In the integral, Jcos²tsin2tat , the correct u using general power formula is; sin't sint None of th...

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Q: Question 17 х dx. (use 2 decimal places, no space) 5+x Let * = 2.74, and y = 3.75. Determine the val...

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Q: +. A 2. B. E) None

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Q: 57. f(x) = 5x² at x = 10

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you w...

Q: dx 5+ x2

A:   For knowledge purpose we will derive the general formula for such type of integration.

Q: 3. Parametrized Surfaces. When we converted the coordinates and equations from rectangular coordinat...

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Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measure...

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Q: Question 4 e an -15i gech (e an-151) dt 'sech Evaluate: 1+25t2 A -tan-'e tan -151 +C 2 -tan -'e tan ...

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Q: 3 [f(x)dx=+C, then f (x) : A True (B) False

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Q: 5e2*dx 9ex – 6e2* + 1 (A 3e 2x B 3e2x – 2 (©) 3e2x – 1 D 9e 4* – 6e2* + 1 E None

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Q: Which of the following indefinite integrals will result to logarithmic expression? O Stan(sinx)cosx ...

A: topic - integration

Q: 2x²+ 2x+1 x+1 Evaluate: e dx. 1 + C X +1 A) x² + x +1 x+1 n|x+ 1| + C B - + In|x+ 1| + C D x2 + In|x...

A: The given integral is; eln[(2x^2+2x+1)/(x+1)].

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

A: Solution: a) As we can see in part (a)

Q: Find all values of e for which sin [e=0] . What pattern do you observe in the values for 0 ? Graph t...

A: the given equation       sin θ=0 on the interval -2π, 2π

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: x2dx ²dx 5+ x2

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Q: A function F (x) is called an antiderivative of a function f (x), if F(x)=f (x) B F(x)=f (x) F(x) =f...

A: topic - derivative and integration

Q: Find and sketch the domain of the function. f(x.y) = Vy – 4x – 5

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Q: The half-life, T, for a particular radioactive element is 9 min. Find the decay rate of the element....

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Q: tan (t) dt. cos (t)

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Q: First, assume the ball passes through the points (3,8), (5,20/3), and (6,5). Use this data to set up...

A: A parabola is always a second degree polynomial, whose standard equation is:- y = ax2 + bx + c ,    ...

Q: 1 2х

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Q: Using the trapezoid rule and 1 rectangle, the integral fo dx is approximated by This is an • because...

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Q: If o functions F & G are both antiderivatives of the function f. the F (x) =G (x). two A) True False

A: topic - functions

Q: Find x' for x(t) defined implicitly by x° +t°x+t +4 = 0 and then evaluate x' at the point (- 2,2). ....

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Q: consider the ODE y'=2y/x, y(x0)=y0 does it have a solutioon for i. x0=0 and y0/=0 ii.(x0,y0)=(0...

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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: A graphing calculator is recommended. x² - 1 Let f(x) = x2 + 1 (a) Find f'(x) and f"(x). f'(x) = f"(...

A: Here, the given function is: f(x)=x2-1x2+1

Q: e* then the integrand is the same as dx In 4+e¯ 4e* + 1 A) True B) False

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Q: Question 11 dx 4+e (A) 4+e* (B) e ot D 4e*+1 E) None

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Q: Step 1 Recall the product rule, where both g and h are differentiable. d d + dx We are given the fun...

A: Given:- f(x) =ex(8x2-3x)  To find :- f'(x) 

Q: he population of a city is 50,000. The city grows continuously by 2.6% per year. f this trend contin...

A: Given query is to find the rate of change of population after 15 years.

Q: sin 2 rsin2tdt A sint B sin 21 cost D sin2t E None

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Q: 2 4– x2

A: topic - indefinite integral

Q: x?dx ²dx 5+ x2

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Q: Question 10 In order to evaluate the integral expression / In( sin(x))dv using simple substitution, ...

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Q: Evaluate: [Vx+ sin/X d. A 2x+ cos/x + C 2 (B) x- 2cos/x + C 2х- cos/x + C 2 D x+2cos/x+C E None of t...

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Q: dx (use 2 decimal places, no space) 5+x Let x = 2.74, and y = 3.75. Determine the value of C when yo...

A: topic - indefinite integral

Q: (x² +2x+3)(5– x) 10. g(x)= 3x+2

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Q: For the function f(x) = 3x^4 + 4x^3 − 12x^2 + 7 (1) Find the intervals of increase/decrease (2) Fi...

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Q: 10. Find the curvature K of the given curve. r(1) = ti +2sin(t)j+2cos (1)k

A: Curvature κ of the given curve r→(t) is T→'(t)r→'(t) where T→(t) = r→'(t)r→'(t).

Q: とマ ans oPパマ

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Q: オーe-2r 12+e-2r x²+e-2r -2(x-e2) -dx x-+e de -2y, None

A: The given integral is; (x-e-2x)/(x2+e-2x).

Q: The population of a city is 145,000. It declines continuously by 3% per year. Assuming this trend co...

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Q: V9 + h – 3 21. lim h→0 h (1+ h)4 – 1 23. lim h→0

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by 

Q: Evaluate the function at each specified value of the independent variable and simplify. (If an answe...

A: Given query is to find the value of the function at indicated points.

Q: Se Ce cos (sin '(x)) COs (sin

A: We need to find the antiderivative of ∫ecossin-1xdv

Q: dx 4+e-* (A) A 4+e-* B D 4e* +1 (E) None

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Q: tan( tan3x) dx Evaluate: cos²3x A - In|sec ( tan3x)|+C 3 B -In|cos( tan3x)|+C В 3 © In|cos( tan3x)|+...

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