x = t? + 2t ; y = 3t + 1; Compute when t = 2. Is the graph concave up or d2x down at that point.

Q: a Show that y = mx + b intersects y = |x + 1| if m > 1 or m < -1. b Given that -1 < m < 1, find the…

A: Given,y = mx + cFor m &gt; 1Take  m = 2 &gt; 1,

Q: For what values of a and b is the line 5x + y = b tangent to the parabola y = ax? when x = 4?

A: y=ax2y'=2axy'(4)=2a(4)y'(4)=8a Now we have 5x+y=b ⇒y=-5x+b Compare with the equation y=mx+b From…

Q: Identify and sketch the graph of the following equations in R³ (a) x2 + 4y² + z² – 8x + 16y – 2z +…

A: we can add or subtract same amount from a equation to simplify equation. The logarithm function…

Q: Find the exact length of the curve. y = 3 + 6x³/2, 0≤x≤1

A: Given :y=3+6x3/20≤x≤1

Q: Graph the function f(t) = (/t, 2t +1) by eliminating the parameter.

A:

Q: 4 d.x x2 + 16 0.

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute…

Q: Find the exact length of the curve. y = 4 + 6x3/2, 0 < x < 1

A:

Q: The x coordinate of the point of intersection between the two curves Y e14a and y = 1 is = x =

A: Given: y=e14xy=1

Q: Trace the following curve: 1. y = x3 – 9x² + 24x – 7 -

A: As per our guidelines we can answer only one question. please repost other seperately

Q: Find the exact length of the curve. y=3+8x3/2, 0 less than or equal to X less than or equal to 1.

A:

Q: Find the exact length of the curve. y - 4 + 2x 3/2, o sxS1 1.547

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

Q: For what values of a and b is the line 2x + y = b tangent to the parabola y ax? when x = 2?

A:

Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Find the equation for the set of points in an xy-plane that are equidistant from the point P -6,3…

Q: (d) Find the points on the curve x'y = 60 nearest the origin.

A:

Q: For the following graph, what is the displacement of the object betweent-0and t- 2?

A: Consider the graph

Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: Find the points on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

Q: Find the length of the curve y= 3/2x^2/3 from x = 1 to x = 8

A: Given,         The length of the curve y=32x23 from x=1 to x=8.We know that,         The length of…

Q: Suppose C is the graph of y = f(x) for a < x < b. Compute x dy + y dx in terms of f.

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

Q: Find the exact length of the curve.   y = 1+ 6x3/2 , 0 ≤ x ≤ 1

A: Find the exact length of the curve.

Q: d the exact length of the curve. y = 1 + 8x3/2, Osxs1

A:

Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

A:

Q: Find the exact length of the curve. y = 2/3x3⁄2,    0 ≤ x ≤ 1

A:

Q: vên détěřmiñe lx² + 1,x < 2 x = 2. Sketch the graph.

A: Please refer to the image below

Q: Find the length of the following curve. y=4x^3/2 from x=0 to x=5

A: The given curve is y=4x32 from x=0 to x=5. Compute the arc length as follows.

Q: Find the length of one branch of the curve ay? = x3 from x = 0 and x = 5a. 4.

A:

Q: Find the length of the curve: - for 1< y<3. 3 4y 4. x=

A: As we know that the length of a curve x=f(y) is given by:- L=∫ab(f'(y))2+1dy

Q: Graph z(t) = i + 2eit

A: We have to choose abscissa as t and ordinate as y.

Q: Q6. Find and classify the stationary points and the points of inflexion on the following curve. y =…

A: Stationary point of a differentiable one variable function: It is a point on the graph where…

Q: Find the exact length of the curve.y = 1 + 4x3/2, 0 ≤ x ≤ 1

A: Given curve is

Q: Find the exact length of the curve. y = 3 + 8x3/2, 0<x<1

A:

Q: 18 f(t) = t + 2 If an object is moving along a path that can be described as

A: ft=18t+2 Differentiate the above function with respect to t. f't=ddt18t+2=-18t+22

Q: Sketch the graph of y = h(t), where h(t)=uπ(t)−u2π(t),t≥0.

A:

Q: For what values of a and b is the 2x + y =b  line tangent tothe parabola y =ax2 when x =2?

A: Rewrite the equation of the tangent line as y=-2x+b and its slope is -2.

Q: Find the slope of the graph of y : r (t) = (2t² +1, 3t – 1) at t=1.1. Your answer has to be numeric,…

A:

Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

Q: Q4/ Find the length of the curve y () (x² + 2) from x 0 to x= 3.

A: The length of a curve f(x) on an interval [a,b] is: L=∫ab1+(f'(x))2dx Where f'(x) is the first…

Q: Find the exact length of the curve. y = 5 + 8x/2, 0<x<1

A: Topic = application of derivatives

Q: Find the points on the curve y-9x closest to the point (0, 4). ) and (O

A:

Q: Find the length of the loop of the curve x = 3t -t 3 y = 3t 2

A:

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 4?

A: Consider the equation of the parabola, y=ax2 differentiate the equation with respect to x to find…

Q: / Find the length of the curve y = (÷) (x²

A: Given,         y=13x2+232

Q: Find the ex act Tength of the graph of flx) = Ix3 t xT . over the interval [, 3] 12

A: Given that f(x)=x312+1x At x=1, f(x)=112+1=1312 At x=3, f(3)=2712+13=94+13=27+412=3112 The length…

Q: How far from the x-axis is the center of the curve 2x2 – 2y2 + 10x – 6y – 55 = 0?

A: The given equation of the curve is: 2x2 – 2y2 + 10x – 6y – 55 = 0 This can be written as:

Q: Find a number k such that the line y=6x+4 is tangent to the parabola y= x2 + k.

A:

Q: The curve x = t - 3t, y = Vt intersects the y-axis when x = 0, which occurs when t = 0 and t = y 3-…

A:

Q: The x coordinate of the point of intersection between the two curves 12x y = = el2# and y = 1 is x =

A: Our Aim is to find the x coordinate of the points of intersectionbetween the two curves y=e12x and…

Q: Find the length of the curve y = x^4 for 0&lt;_x &lt;_1

A:

Q: Find the points on the curve x2y = 2 nearest the origin.

A: The curve is x2y=2 Let x1,y1 and x2,y2 be two points, distance betwwen these points is x2-x12+y2-y12