An object moves with velocity as given in the graph below (in ft/s How far did the object travel from t = 0 to t = 15? %3D %3D 7+ 5 10 15 20 25 30 35 40 45 time (sec) 3. 2) velocity (A/sec)

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A:

Q: Suppose that z = f(a, y) is differentiable at the point (1024, 1024) with, (1024, 1024) = 5…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

A:

Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 50…

A: The speed of ripple that travels outward = 50 cm/s

Q: 4. A COHunu Iunctio JU), laS a uoma -6 <x<-2 x=-2 -2 <x<0 x=0 0< x<6 f' does not exist f" does not…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Find the first four terms of the Taylor expansion of the solution to the given differential equation…

A:

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 24x from (24, 24) to (0,0). NOTE:…

A:

Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x - 4r +5 on the…

A: Steps to find the absolute maximum and minimum of a function f(x) on [a,b].  : Find the critical…

Q: Calculate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A:

Q: Calgary Board of Education CBe-Learn . Find the intervals where the curve is concave up or concave…

A: Solve the following

Q: - If g(x) 1 dt , find g'(2). 4 +t

A:

Q: Determine whether the vector field F(x, y, z) = (y + z)i – xz°j+ (x²siny)k is free of sources and…

A:

Q: The following figure provides the plot of f(1). -4- 3. 2- 3. -2 -1 2-

A:

Q: : Triangle with points P(1,-1,2), Q(2,0,-1) and R(0,2,1), find: 1. Area of the triangle. 2. a unit…

A:

Q: Clairaut's Theorem Let DCR be a disk containing the origin and assume that g: D→R is a function…

A: Given

Q: Plot the point whose polar coordinates are given. (4, 9/4)

A: The objective of the question is plotting the point in the polar co-ordinates and choose the correct…

Q: 1. Find the solution to the system 4x - Зу +3z %3D 0 2х — Зу + 2z%3 0 бх — 12у + 7z 3D0.

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

Q: Consider the plane curve given by the parametric equations x = t + 22t – 23 y = t2 + 22t – 5 -- What…

A:

Q: 4. For the given function find the local extrema using the Second Derivative Test. f(x) = x³ – 9x2 +…

A: maxima minima

Q: Sorry im running out of questions

A:

Q: The function f is given by f(x)=9.x^2/3+3x-6 has a relative minimum at x=? A. -8 B.-1 C.-1/8 D.0

A:

Q: Find the distance from the point S(0,0,12) to the line L: x = 4t , y=-2t z = 2t

A: Write the vector of the given line using x=4t, y=-2t, and z=2t. L→=xi→+yj→+zk→   =4ti→+-2tj→+2tk→…

Q: (c) (i) Solve the linear equation: 2(3 - x) = 3(x + 5) Expand (x + 4)(x- 5) and use this answer to…

A: Part c is solved.

Q: Find absolute maximum & absolute minimum f define on C0, 2]

A: maxima minima

Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x2…

A:

Q: Calculate ri(t) r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: Let's find.

Q: Show that the integral is independent of the path, and use th Fundamental Theorem of Line Integrals…

A:

Q: Find f+ g, f- g, fg, and fig and their domains. F(x) = V15 - 2, g(x) = Vx+1 Find (F+ g)(x). Find the…

A:

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from x = 0 to x = 6

A: ∫c(2x-y)dx+(x+7y)dy x axis means y=0 dy=0 limit of x from x=0 to x=6

Q: geometry to evaluate S V4 - x dx. -2

A: Given : integration gives area under the curve.  let  y=4-x2      y2=4-x2   x2+y2=4   x2+y2=22it is…

Q: Evaluate each of the following definite integrals 4 |x- 3| dx (x2 - х) dx х2 +x+1

A:

Q: ydy V2y-1

A:

Q: A theatre has a seating capacity of 250. The ticket prices for children and adults are $8.00 and…

A: Let 'x' be the number of  children's and 'y' be the number of adults. Now x≥0 and y≥0 since the…

Q: Determine whether the vector field F(x, y, z) = x'5 i + y'5 j + z!5 k is free of sources and sinks.…

A:

Q: L(25 — х?)3/2. |dx

A:

Q: Consider the curve parameterized by x 3t2 3 and y 2t°. Find equations for all tangent lines to this…

A: Here we have to find the equation of tangent line.

Q: H.W: which series converge and which diverge, and if a series converge find its sum: 1. E(zr n+1 3…

A:

Q: Use the function f(a) to fill in the table:

A: Given :

Q: 2. F(x) = [ cosr' dt

A: Use fundamental theorem of calculus

Q: csc z) Evaluate: lim (x² + e¬®)@¯

A:

Q: Use a Maclaurin series derived in class (a) f(x) = x arctan x (b) f(x) = x²e=x

A: Given, f(x)=sin^2 (x)

Q: find the flux of 3 – e")i+ (y³ + sin z)j+ (z³ – unded above by z = V4 – x² outward orientation.

A: We have to find the flux using the divergence therom according to the given information

Q: f (x) where f(x) and g(x) are seen in the graph. lim r-0 g(x) y. 5 3 f(a) 2 -5 -4 -3 -2 2. 9(x) -5

A:

Q: Q6. Identify the incorrect statement in the following: A. If e* = 2 then x = ln 2. B. If In x = 2…

A: Find your answer below

Q: Chain rule and impicity differentiotion Sappose that Forsy,z) =0 defines z ds d Funetion OF x and…

A:

Q: 2 у2 | dxdy 1 у 2.

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A:

Q: Use local linear approximation to estimate In(1.08)

A: