Activity 1.2.3. Consider a moving object whose position function is given by s(t) = t2, where s is measured in meters and t is measured in minutes. b. Determine the average velocity of the object on the interval [3,3.2]. Include units on your answer.

Q: Let {an}-1 be a positive sequence which satisfies nan+1 1. Prove that > an converges n=1 a1 Prove…

A:

Q: An object moving vertically is at the given heights at the specified times. Find the position…

A:

Q: 3. Given a function F(x) = xVx+6. (a) Find the intervals of increase or decrease. (b) Find the local…

A:

Q: 5. Fied ť+, y= t*+t for t=-l equatin ef the lagest limye te the Cume an

A:

Q: 4: Show yor work. a) | 1: Find the exact area of the surface obtained by rotating the curve y? +x…

A:

Q: Note: Below we are using t as the variable for angles instead of 0. 1 Consider the following…

A:

Q: Question 8 The function f has first derivative given by f'(x): What is the x-coordinate of the…

A: To find the x coordinate of the inflection point of the function whose derivative is given.

Q: 10. What is the amplitude and period of the sinusoidal regression equation given below? y =…

A:

Q: Find the centroid of the region bounded by the given curves. 20) The region enclosed by the…

A:

Q: 30 cm of wire is cut into 2 pieces. One piece is bent into a square, and the other piece is bent…

A: To find out the length of the two pieces.

Q: Evaluate the iterated integral I = SoS"(24y + 2) dady

A: Answer for the integral is : 14

Q: dz Find dt(t=1,s=0) when z = 2x3 + 15y3, where x = t2 - s and y =t+ 2s2

A:

Q: 40 9) A skydiver jumps from a plane from 4000 meters and begins to fall at a velocity of v(t) = 60,…

A:

Q: Exercise 2: Write an inequality or pair of inequalities to describe the possible values of x. Then…

A:

Q: The value C for the solution of the initial value problem f'(x) = x2 – 6æ + 2, given that f(0) = 0.…

A:

Q: Direction: Evaluate the following functions. Show the step by step process by using the limit laws.…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 2 2. Evaluate the iterated integral 6x'y dady

A:

Q: The antiderivative of the function f(æ) 6. + 8x is. -6 + 16.0x? + c -6 4.0x? + c 6 + 4.0x² + c -6 +…

A: We have to find the antiderivative of the function f(x) = 6x2 + 8x

Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

A:

Q: (会 lim 4x - 1 Find a. 2x + 5 lim 3x + 5 - 6x - 8 2x lim b. Evaluate + x - 12

A: a) limx→-∞4x-12x+52b) limx→-22x-6x2+x-12+limx→∞3x+56x-8

Q: Evaluate: (8t – 121 + 6)dt

A:

Q: 3 Represent the function as a power series f(x) Cn x" (1 – 5x) n=0 Co C2 = C3 = C4 = Find the radius…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: +25y=t^(-5)

A:

Q: 3. A piece of wire of length shape of an equilateral tr should the wire be cut sa a) a minimum? b) a…

A: L: length of the wirex: one piece of wire cut from length LPerimeter of the equilateral…

Q: 12 10 12 | f(æ) dæ = 9, | f(x) da = 14, | f(x) dz = 5. Suppoe 6. 11 Then 11 | f(x) dx = Σ %3D 10 10…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 5y2 + 4, (3, 4) %3! Vf(3, 4) =…

A:

Q: The antiderivative of the function f(x) = 4 + 10x is + 5.0x? + c 4 5.0r? +c 4 + 20.0z? + c + 5.0z?…

A:

Q: 1 dz . =5.0 (2 – 3.0)*(z2 + 36)? Evaluate

A:

Q: 4. Evaluate y = sin¬1 (x) when x = 1 %3D O 37 2 -1

A:

Q: 3 | (16t3 – 12t? + 6)dt

A:

Q: Show that the equation 2x+sinx = 0 has exactly one real root.

A:

Q: Qz: IF U=h cx,g )= Lnce+ ě).show that %3D Sy

A:

Q: Find an equation for the tangent curve x= 3e^t, y= 5e^-t at t = 0.

A:

Q: For the given function find: a) The intervals on which fis increasing, b) The intervals on which fis…

A:

Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

A:

Q: Problem 6. The following series are geometric series. Determine whether each series converges or…

A:

Q: 4 Using the e – 8 definition of limit, prove that lim x→3 3x 1 1 2

A: To prove the limit of given function using the epsilon delta definition of limit which states that…

Q: Evaluate: (12t - 9t2 + 7)dt 01

A: We need to evaluate : ∫0312t3-9t2+7 dt

Q: iven the given cost function C(x)=5950+360x+1.4x^2 and the demand function p(x)=1080 Find the…

A: Follow the procedure given below.

Q: Evaluate: (16t3 – 9t2 + 7)dt

A: ∫02 (16t3 - 9t2 +7)dt using integration [16t4/4 - 9t3/3 +7t]02 [4t4 - 3t3 +7t]02 64 - 24 + 14 54

Q: Use Part I of the Fundamental Theorem of Calculus to find the derivative of the function. 8(x) = f…

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x2 + 2x – 2) dx…

A:

Q: pressions without using a b) log, (log, 125) d) (log, 128)(log4 256) f) log, 82 – log, 49 + log, 1…

A: We have to solve the logarithmic expression.   According to our guidelines we can solve only three…

Q: Integrate the following problems. fe (2x +7)dx 7.

A: Consider the integral  ∫ex2x+7dx

Q: 12. The graph below represents a periodic graph. y 5+ 10 12 14 16 4.

A: Topic = Functions TRUE

Q: Given the side length a = 19 and the angle A = 66° on the triangle below, find the lengths of b andc…

A:

Q: The average annual price of single-family homes in a county between 2000 and 2010 is approximated by…

A:

Q: Find the derivative of the logarithmic function. 6 + y = In

A:

Q: Problem2. 3–2x Solve e = 4. And then: 1. Leave your answer in exact value. 2. Round your answer to…

A: