Use the trigonometric substitution x = 2 tan(0) to evaluate the integral I ਪੰਜਾ dr.

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A: The given function is:

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 2. R is the…

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A: given

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Q: 21. a) Evaluate the following limits. Show proper steps. 8x²-2x-3 2x+1 a) lim x→→ 2 2x x-0 √2x+1-1…

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Q: 3. Find the general solution of the second-order differ- ential equation d'y dy +2- + 2y = 0 dx² dx

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Q: 11. Consider the plane and the line with these equations 0 = x - y - 2z + 10 a) : a must b) Find all…

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Q: What is the limit lim x→3 √x³ - 2-5 x - 3 3 27 10 9 10 +∞ Does not exist ?

A: Given

Q: 1) For the given p-series, identify p and determine Whether the series converges. [ K = 1 1 3√73

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Q: d dx [T"]

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Q: if f'(a) exists, then f is continuous at x = a. True False

A: Function f differentiable at x=a

Q: Find the derivative of y = ○ COS X 4 sin x - 4x cos x sin² x 4 sin x + 4x cos x sin² x 2 ○ 4x cos x…

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Q: (e) Use L'Hopital's rule to evaluate: p³-4p²+p+6 lim p2 p²-5p+6

A: Given expression

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Q: 19-38 Evaluate the integral.

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given :- To find :- The value of the integral.

Q: Calculate the double integral. J (2y + xy-2) dA, R = {(x, y) | 0 ≤ x ≤ 2,1 ≤ y ≤ 2}

A: We have been asked to calculate the double integral.Region

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Q: Given f(x) = 7x - 6; x < 6 x ≥ 6, 4x + 3 ; Find: lim x →6 f(x)

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Q: Find the derivative of h(x) 3 4 sin x COS X sin x COS X 2 COS X 1+ sin x - 3 cos²x (1 + sin x)³ 2…

A: To find the derivative of .

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Q: dQ Use the Chain Rule to find where Q=√√4x²+4y² + 2z², x = sint, y = cost, and z = cost. dt 7 dQ dt…

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. 10 9 8- 7- -6- 5- -1 0 N. -3…

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Q: 6. f(x) = X a. lim f(x) x-0* b. lim f(x) X-0 c. lim f(x) X-0

A: f(x)=|x|/xFind the limit at 0.Find the right hand limit and left hand limit at 0.

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Q: g(x) = 4x3 - 4x + ) = (4x³. 18/5 x2 4

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Q: f(x)= 72 X f'(x) = (Type an expression using x as the variable.)

A: We know that the defination derivative formulaf'(x)=lim_(h-&gt;0) (f(x+h)-f(x))/h

Q: Find a Cartesian equation for the curve. r2 = 11

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