Q2. This question asks to find the arc length of a function (see Lecture 11). (i) Let f(z) = z + 4. Using the formula given in Lecture 11, calculate the arc length of the graph of ƒ(x) over the interval [0, 3). Draw a rough sketch of the graph, as we did in the lecture, showing the arc in question. %3D (ii) Let f(x) = t21. Using the formula given in Lecture 11, calculate the arc length of the graph of f() over the interval [0, 2]. Draw a rough sketch of the graph, as we did in the lecture, showing the arc in question. %3D

Q: U(-4,4)(4,c) the end behavior and what happens to the y-values as x approac- nction f(x). Identify…

A: Function: f(x)=2x2-25x2-16

Q: 3. Let h(0) be the height above ground (in feet) of a rider on a Ferris wheel at an angle 0 (in…

A: In order to solve this question we need to use trigonometry applications on ferris wheel.

Q: Y==(x+1) tant x- Ans:

A: Evaluate it.    1xdydx=tan-1x

Q: Analyze the graph of y = (arctan x)2.

A: Given- y=arctanx2 To Analyze- The above graph.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Given fx=2secx-π2, 0,4π

Q: Sketch a graph of f(x)=3 arccos x- A

A: To graph the function:

Q: Suppose that f(t) = sin(3t). Part A. The function g(t) is f(t) shifted to the right 3 units. What is…

A: NOTE: Refresh your page if you can't see any equations. . the base function is  now the function…

Q: Find the lengths of the curves in y = tan x, -7/3 < x < 0

A: In this question, the concept of integration is applied. Length of curve The length of the curve…

Q: 5) Sketch the graph of each function a) y=2" +1 b) y=3*1

A:

Q: Sketch, on a graph the following function : (i) tanh(x).

A: We need to plot the graph of y=tanhx.

Q: Check the symmetry and graph the curve r² = 16 a² cos if (0=0, π/3, TT/2) use a calculator Set ih…

A: The given polar curve is r2=16a2cosθ. We need to check the symmetry of the given curve and need to…

Q: Match each graph with its equation. f(x, y) = sin(x) f(x, y) = x³ | f(x, y) = x² + y av - ✓ | f(x,…

A: The given two variable functions are, fx, y=sinxfx, y=x3fx, y=x2+yfx, y=y2fx, y=x2-y2 We have to…

Q: 4) Consider f(x) = 4 sin x, part of which is shown. The point A has coordinates (5,4) and the point…

A:

Q: Find the arclength of the curve below over the interval -1<t<1

A: Here we have to find the arc length of the given curve.

Q: Graph y = f(t) = sin t + cos t. How would you describe the graph?

A:

Q: 14. The first derivative of y = arcsin4x is а. -4 b. -4 C. d. V1- 16x? VI- 4x2 V1– 16x? /1– 4x* -

A:

Q: Let f(x) = arctan + arccos (sin x), find and simplify.

A: Given function: We have to find  and simplify.

Q: Find the coordinates of all points where the tangent line to the graph below, given by y2 + cos(x) =…

A: For horizontal tangent the slope=0 So, dydx=0

Q: Question: Find the equation of the tangent to y= xsin2x at the point (π/4 , π/4). Thks! Please…

A:

Q: Find an equation in cartesian coordinates for the curve given by r = 8 sec(0). Use geometry to…

A: We know that : x=r·cosθ and y=r·sinθ   Using that we get: r=8sec(θ)r=8cos(θ)r·cos(θ)=8x=8

Q: Sketch the graph and show all the work out 1. Y=cot(2x-π/2) 2. Y=½sec(x+π/6)

A: