Determine if the limit sin(5x) lim 410 2x exists, and if it does, find its value. 1. limit = 2 2. limit doesn't exist 3. limit= 235 4. limit= 5 5. limit = 52

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A: d dx(ab)=b×d dx(a)-a×d(b)dxb2let  h(x)=(fg)(x)=f(x)g(x)

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Q: 7 Calculate the second and the third derivative of y = 4x - E -14 3 x 3": y"=1

A: y=4x-7xy=4x-7x-1d dx(xn)=nxn-1d dx(constant)=0

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A: f(x)=3x+22x-1point(1,f(1))f(1)=3+22-1=5point is  P(1,5)eqation of tangent line is  y=mx+c where m is…

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A: Given is the graph of function f.

Q: ist . Find lim f(x) x-2+ O A. 1 OB. -2 V OC. 4 . S to .. ut .

A: Given graph:-

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A: Given curves:- x=y2 ,x=2-y2

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Q: Suppose that f and g are differentiable functions, and suppose that you know the following values of…

A: given  f(-2)=5f'(-2)=7g(-2)=8g'(-2)=8we know  d dx(a.b)=a×dbdx+b×dadx

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Q: Suppose f(x) = 8 - x². (a) Find the slope of the tangent line to the graph y = f(x) when x = = -1.

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Q: For each of the following, find and simplify the difference quotient 24) f(x) = 2x²-3x+4 25)…

A: we need to find the difference quotient.

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Q: The instantaneous slope of f(x) when f(x) is radical

A: Given : A : ( -1,1)x coordinate of B = -1+hy coordinate of B = 4(-1+h)+5=-4+4h+5 =4h+1

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A: Let q be number of selling tickets

Q: (b) Show that the polynomial has at least two real roots. P(x) 3x³ + 2x² + 5x-3

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Q: 5. Graph a function that has the following properties. lim X→-1+ a. C. lim X→→∞ f(x) = ∞0 f(x) = 0…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Let f(x) = 5√x + 7. If h = 0, then the difference quotient can be simplified as A Bx+Ch+√x' where A,…

A: Given f(x)=5x+7f(x+h)-f(x)h=A(Bx+Ch+x)f'(x)=limh→0f(x+h)-f(x)h   We are required to find the values…

Q: Use the Product Rule to compute the derivative: d & ((t² + 1) (t + 9)) |t=-: dt -2= ←

A: Please see the below picture for detailed solution.

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Q: How to use the disc method to find the volume of: x^2 - y^2 = 9 and x + y = 9, y=0 and x=0 ? rotates…

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Q: If $7,000 is invested at 8.5% compounded continuously, find the future value after 3 years. (Round…

A: Note:- these are multiple questions according to company law we can do maximum 1 question. So i am…

Q: By the power rule, True False d dx [7³] [ 76 ] = 675

A: according to power rule d dx(xn)=nxn-1d dx(constant)=0

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Q: Find the half-life (in hours) of a radioactive substance that is reduced by 15 percent in 35 hours.…

A: Please see the below picture for detailed solution.

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Q: Use the relation lim 0-0 lim y-0 sin gy 7y sin 9y 7y sin 0 0 Select the correct choice below and, if…

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Q: Find the particular solution. 3. (D³ + D² + 4D + 4)y = 0; when x 0; when x = 0, y = 0, y'= -1, y" =…

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

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Q: 4. y(4) + 17y" + 72 = 0.

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Q: 29 x²√x²+4 - dx

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