4. Which of the following is the maximum value or the minimum value of the graph of polynomial function? A) the x-value of the first derivative B) the y-value of the first derivative C) the x-value of the function D) the y-value of the function

Q: 2. By integration, show that the area of a circle of radius r is A = Tr?

A: From the given statement

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A: Given ∫x+4x2+2x+5dxTo evaluate the integral:

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A: Let's find  area of given curves y=e^x from x=0 to x=1.

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A: ∫5csc(3v)dvSubstitute u=3v→dudv=3→dv=13du=∫53csc(u)du=53∫sin(u)duWe know that…

Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

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Q: 8. The general solution of y" + 4y = 3 sin 2x

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Q: 3. Solve the equation: (Dª – 1) y = 0

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Q: dy Use implicit differentiation to find for y' dx +2xy – x' = cos3y

A: Given:         y3+2xy-x5=cos3y Implicit differentiation:    differentiating on both sides with…

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Q: Find the FIFTH DERIVATIVE Given: f (t)

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A: We have to find the time it takes for the population to quadraple.

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Q: Integrate using Partial Fraction Decompositio

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Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

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Q: - y = x' 3 from x=-1 to x=2 %3D

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Q: х3-4х-10 х2-х-6 (2x + 21n|x – 31 – 4 In |x + 2|) + C (2x + 2 In|x – 3| + 4 In |x + 21) + C Option 1…

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Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

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Q: -3 3 sec? 6. dx du =. answer:

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Q: equation of the tangent to the curve y = 1+ Int and x = t+ Int when t = 2

A: Topic:- application of derivatives

Q: 16-17. Find the derivative: y = (x2 – 4x + 2)(2x3 – x2 + 4) A) 2x*- 36x³ + 24x2 + 4x -1 B) 2x* –…

A:

Q: 10) (-1

A: lets we take example 9 and 10   9 (-2) -3/2 here in 3/2 so we have to also make 2 in whole term…

Q: Find the first derivative of  y = cos4 x – sin4 x y = x3   –  x2 cos x  +  2x sin x  + 2 cos x y…

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Q: tan e de gec e + 4 cose

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Q: •4 (ii) 2y dy dx.

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Q: (-1)" Vn

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Q: 2. Solve the equation: y" – y " -2y' = 0 O y = cje* + c2 + cze2* O y = cje* + c2e* + c3e2*

A: The given equation is  y'''-y''-2y'=0

Q: Sove a lake, sere hft) represents the height above the water, in feet, at t seconds. a) Determine…

A: Topic:- application of derivatives

Q: Area under the curve x + y = 3 and the coordinate axis

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Q: Evaluate the integral 1

A: We can solve this as follows:

Q: Find the first partial derivative wx, wy, wz of ( x  +  yw )2 –  ez  – 2 = 0

A: Let's find partial derivative of given function.

Q: 9. A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise…

A: Given, f(t)=12sin(pi×t/4) +8 where t is the time measured in seconds f(t) is the tailor's altitude…

Q: .In a particular very small region, the consumer price index, C, depends on the current value of…

A: Given information C=100+(e-EP)/Fwhere, C = Consumer Price Index E = Gross Domestic Regional…

Q: x + 2 x + 1

A: ∫x2+2x+1dxSubstitute u=x+1→dudx=1→dxu=dxx2=(u-1)2 =∫(u-1)2+2udu=∫u+3u-2du

Q: 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S (e 5x - e 2x + 8) dx 2 e 5x 7. S 10 cot 2x dx

A: We have to find the integral.

Q: Find the derivative of the following function F(x) (2t – 1)' dt

A: To find the derivative of the following function.Fx=∫x2x72t-13 dt

Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

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Q: 8. The price-supply and price-demand equations of a certain product are given by p = S(x) = 15 +…

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Q: What is the exact value of tan if sin(v) = -, where cot(v) >0? 1 A 2 1 B -2 D 3

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Q: ydy -ヌ-9-y 7-8. 2.

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Q: dy Find dx Given: 3y2 – 5xy2 + 2x +2 = 0

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Q: 11. Given the functions: g(x) =In(4 – x) and h(x) = 4 – x² find and simplify the following: (a) h(x…

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