A particle moves along a straight line and has acceleration given by s(1) = 41 +3. Its initial velocity is s' (0) = -4 cm initial displacement is $ (0) = 6 cm. What is the position function? and its sec

Q: Discuss how the concept of instantaneous velocity v(t) can lead to the mathematical notion of a…

A: Topic:- application of derivatives

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

A:

Q: AJ Find the derivative of the function: In(tan(sinx) + secx). A If v = eu 1Infs

A:

Q: Use implicit differentiation to find dv/dL.

A: We will use concepts of differentiation in this.

Q: Find the derivative of the function. 97 y = -xVZ

A: The objective is to find the derivative of the function y=x79-x2 This function can be rewritten as,…

Q: Find an equation of the tangent line to the curve y = 9" at the point (1, 10).

A:

Q: Finf the equation of the tangent line to (cos(x)ex10x)/(Sec2(5x)+1)+11 at the point (0,11)

A: Given,           The equation of the tangent line to (cos(x)ex10x)(sec2(5x)+1)+11  at the point…

Q: Find the second derivative of the function F(t) Answer = 4tsin (14). F"(t) =

A:

Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: Find all possible functions with the given derivative. y' = csc? 30 Select one: A.1 csc 30 + C 6 3…

A:

Q: d Find {1+ 2x + 3x*} dx Find the equation of the tangent to y = 1++ 2x + 3x4 at the point with…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: x2 Find the equation of the line tangent to y = ln| when x = 1. x + 1

A: Given that, y=lnx2x+1 we have to find equation of line tangent to y when x=1equation of line…

Q: 4 Determine the derivative of y = 3x

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: #4 y=sin(0.5√√x)/x at x = 1

A: dfdx=fx-fx-hhd2fdx2=fx-2fx-h+fx-2hh2 y=fx=sin0.5xxx=1h=0.25∴dfdx=fx-fx-hh          =f1-f1-0.250.25…

Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero