Consider the following equation Find the following limits: 1. If y (0)= 1, find limx→ 2. If y (0) = 2, find limx→ 3. If y (0) = 3, find lima y(x) = ( y(x) = ( y (x) = ( ) dy da

Q: F(x)= x-2 / x^3 F'(x)= 6-2x / x^4 F''(x)= 6x-24 / x^5  1. Find the local maximum and local…

A: To find local maximum and local minimum  and inflection points of given function.

Q: Consider the function f (x) = 2x2 – 3x + 5. Construct the formula for the average rate of change…

A: The function is fx=2x2-3x+5. The average rate of change of the function fx in an interval a,b is…

Q: Find the number or limit approached by the entire function as h approaches 0: 3h² a. lim h→0 h Find…

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Q: If f(x) = 4x? 6x + 7, find f'(– 2). - Use this to find the equation of the tangent line to the…

A: AnswerGiven f(x)=4x2-6x+7f'(x)=ddx(f(x))wktddx(xn)=nxn-1f'(x)=ddx(4x2-6x+7)f'(x)=8x-6at…

Q: If √x + √y = 9 and y(4) = 49, answer the following: a) y b) The slope of the tangent line to the…

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Q: の3 Find lim メy <xiy)-s(0,01 x+y² along the curve y=x²

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Q: Find the indicated derivatives. Use f'(x) = lim カ→0 f(x+h)-f(x) h dr if r== ds d. +1 2.

A: Solve the above differentiation.

Q: f(x) - f(a) 15. Use the alternate definition lim x-a of change of f(x) at the given point or value…

A: I have explained everything with in the solution. Please go through that.

Q: Let f(x) = 4x + 5 – 19e“. Then the equation of the tangent line to the graph of f(x) at the point…

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Q: Consider the function f(x) = arctan(3x). Show that the graphy = f(x) and its tangent line y = g(x)…

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Q: Find the revenue function for a purse manufacturer if the marginal revenue, in dollars, is given by…

A: Solve the differential equation by separation of variables.