Which of the following equations is an ellipse? Ay²= x² + 4 (x– 2)² , (y+2)² (B) 1 25 25 x2 + 4y2 - 16 =0

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A: Given: r(t) = (sint, 2cost)

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A: Here we have to determine the given limit.  We have, an=tan-11-4n

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A: Given f(x) = x2+xg(x) = -2x+3we know that fg(x) = f(x)g(x)and f∘gx = f(g(x))

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A: ∫exdx1.Integrate with respect to xex+C12.Integrate with respect to x∫(ex+C1)dx=ex+C1x+C23.Integrate ...

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A: f(x)= e ax f0(ln 7)= 7a   f'(x) =ea x af'(ln 7)=ea ln 7 = a 7a   f' ' (x) =ea x a2f' '(ln 7) = ea ln...

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Q: dt 4e-t – et

A: I =∫dt4e-t - etI =∫et dt4 - e2 tet = uet dt = duI = ∫ du4 - u2

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Q: 20. DETAILS LARAPCALC10 2.7.021. Find the slope of the graph of the equation at the given point. (If...

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Q: 3 da IV9z2-4 o+ (z등) o 음sec-l (금) + C ○ 을sin-1 (을피) + C 0 3sin-1 (을2) +C O 3 sec -1. (을띠) + C

A: This question is based on indefinite integral.

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Q: If f(x)=7+6x−5x^2, find the equation of the line tangent to the curve f(x) at x=4 y = ?

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A: Given query is to find when function is concave up and when concave down.  

Q: ® 2ly*t9) dx +(1-x*)ydy = %3D

A: given DE 2y2+4dx+1-x2ydy = 02y2+4dx = -1-x2ydy2dx1-x2 = -ydyy2+4integrate on both sides to get the s...

Q: 7. Given the space curve er(t) = (4 sin t ,4 cos t , 10t), Find T, N, B, and t (torsion)

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

A: Anti derivative of derivative .

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Q: Given: cos a= -, sin B=, aand Bare second-quadrant angles; find cos(a - B) 117/125 3/5 4/5

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A: Topic:- application of derivatives

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A: Here, the given matrix is: A=25541051681222 First of all, find the inverse of the matrix.

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A: This question can be solved by using the concept of finding the slope of tangent at the given point ...

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Q: 13. Find the solution set of |6x – 13x – 5|| 2x b) 14x – 1| 2 12x + 3| + 1 c) |2x? – 3x – 4|< 5

A: In this question we will use formula |A|= x.  A= -x  Or A= x        

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Q: Use the properties of logarithms to expand log . Each logarithm should involve only one variable and...

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