_____18) Find y' if y= 6+x √4-x²

Q: 16) Differentiate y=-5x-√3

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A: We know, a. xk.xl=x(k+l) b. (xk)l=xkl

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is  factor out 2

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: lve y' = 14xy – 2x, y(0) = 11 x) =

A: Topic:- application of integration

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A: Here is a structure of a function whose equation in factored form has a factor that is squared:…

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Q: y 200 150- (-3.75,93.75) 1000

A: increasing interval where slope increading

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Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (5 cos t,…

A: Given, r(t)=5 cos t, -3t, 5sin t

Q: 1. S(√t -√√² + √√³) dt

A: solution ) ∫ ( t - t2 3 +t35 ) dt = ∫ ( t1/2 - t2/3 + t3/5 ) dt  we know that  ∫xn = xn+1/n+1  = (…

Q: Use the matrices below to perform matrix multiplication. B If the operation is undefined, enter NA.…

A: Please see the below picture for detailed solution.

Q: Find the exact length of the curve. r(t) = (51, 3cos (1), 3sin (1)), -4≤1≤4 OA. 16√3 OB. 0 OC. 8/26…

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A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: The derivative of f(x) = tan- is: Select one: O a. O b. O C. O d. 1 x² cos² 1 -1 x² cos² 1 xcos² 1 F…

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Q: 1 1 X

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A: Topic:- application of derivatives

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Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: Find the slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: 3 14 f(x) dx where a = 5 - ["² f(x) dx = [ f(x) dx 3 a and b =

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Q: (i) Solve the following triangle. (You may need a calculator) C A 45° 105° N B

A: As per the guidelines, we must answer only one of the multiple questions given. Therefore, I answer…

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(3) = 9, ƒ(9) = 2, ƒ'(9) = 15, ƒ'(3) = 13…

A: Given Fx=ffx Gx=Fx2 f3=9, f9=2, f'9=15 and f'3=13

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A: Here, the vertex is located at the lowest point of the cable. Let us take the horizontal line…

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A: We have to use the graph of the function to estimate the local maximum and the local minimum of the…

Q: 8. Use the Chain Rule to find az/as and az/at. z = (y-2x)³, x = s³t², y=s+t²

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Q: 12. What is the minimum value of the parabola ? 5 0 LO a) x = 3.9 b) y = 3 c) x = 2 d) There is no…

A: We have to find out the minimum value

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A: Here we have to find the values of f(x).

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

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Q: 2. How much money is needed to establish a fund that pays a research scholarship of $10,000 each…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: To use the given graph to find the answer of the given question.

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A: y=2x+1 We have to find ∆y corresponding to ∆x=3.

Q: 5. dy/dx = sin(x + y). ANS. x+c = tan (x + y). sec (x + y).

A: Please see the below picture for detailed solution.

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A: The curve y=4x-6, for 52≤x≤92 rotated about y-axis we have to find the surface area of the solid