Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. 7(t)=(7+31)+(8+9t)] - (6t)k a. 7(t(s))=(7+√3³165) + (8 + - b. F(t(s))=(7+ c. 7(t(s))=(7+ d. F(t(s))=(7- e. F(t(s))=(7- 3 136 3 -s)i + (8 + 3 √126 -s)] - (6s)K 126 3 √116 116 136 5) + (8+ , 26 )i -(7 ਛ5)i - (8+, is i ++ 126 65 s) -(8+- -)](- -)k 126 -s)] - (6s)K 116 6s 6s 126

Q: 6. Find the tangent line to the function f(x) = 2x cos"(x) (0, 1).

A: To find the slope we need…

Q: 2 Use the guidelines of this section to sketch the curve of y = x³-5x3. Show all work and details.…

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider the curve f(x) = x3 + ! for 3 < x < 4. Find the arc

A:

Q: find the tangent line of the curve (1– sin(1).tcos(1)) at the vale t(0) = T, (and so at the point(…

A: The curve is defined by the equations: x(t)=(t-sin(t))    and    y(t)=tcos(t)

Q: Find the point on the curve y = x-11x+5 at which the tangent has the equati on y = x - 11.

A: We will find the  point on the curve at which the equation of tangent is given as following.

Q: B) Find an equation of the tangent line to the curve at the given point y = (1+ Vx)³ at x =1 ?

A: Given curve is, y=(1+x3 )3 at x=1.  The objective is to find the equation of the tangent.     For…

Q: What is the slope of the line tangent to the curve √√x + √y = 2 at the point 1 3 (A) -3 (B) (C) 1…

A:

Q: 1) Find the hundredth derivative of p (x) = (x + x° + x')'º(1 + x²)'' (x³ + x° + x'). Justify your…

A: Here we have to find the hundredth derivative of p(x)=(x+x5+x7)10(1+x2)11(x3+x5+x7) .

Q: 10) Find the tangent line to the curve 16 1 at the point (4 23).

A:

Q: Find Hhe are length of the graph from A to B 3/2 a) - (V37 - 54 B -80V10 (4,17) b) (5 - 80 1o) f(x)…

A: To find the arc length of the graph from A to B

Q: x(t)=sin2((pi/2)-t)  y(t)=cos4((pi/2-t) 0≤t≤pi/2 determine the slope of the curve at t= pi/4…

A: xt=sin2π2-t,  yt=cos4π2-t,  0≤t≤π2 Differentiating with respect to t, we get dxdt=2sinπ2-t·ddtπ2-t…

Q: is the tangent line to y= 1/2arctan(1/5x) at the point (5,π/8)?

A: Answer and explanation is given below

Q: What is the length of the arc y = (x6/6) + (1/16x4) on the interval [1,2]?

A: Given, function and interval

Q: Find the tangent line to f(x) = 4√2x - 6e²-x at x = 2

A:

Q: Suppose that a curve is given by the equation y2=x2+x+1 which defines y as function(s) of x Find…

A:

Q: Consider the folloinwg curve: y = square root of -1+2x At what point on the given curve is the…

A: Consider the folloinwg curve: y = square root of( -1+2x) to find the point on the given curve is the…

Q: Find the asymptotes of the hyperbolic tangentf(x)=tanhx.

A: We first simplify tanh(x)

Q: At what point of the curve y = cosh(x) does the tangent have slope 2? (x, y) =

A: