(a) Sn = 1- - (b) Sn = 1 + (c) Sn II 1 n 1 n (-1)" n

Q: What will the value of an account (to the nearest cent) be after 8 years if $100 is invested at 6.0%…

A: Given query is to find the amount after 8 years when compounding continuously.

Q: Hudson bought a plant and planted it in a pot near a window in his house. The initial height of the…

A:

Q: 3 Let f(x)=√x

A:

Q: For the following graph of a function, estimate the area under the curve in the interval [-4,0]…

A: Let the given graph has function y=f(x) So Area under curve on [-4,0] will be ∫-40f(x)dx   We have…

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Compute the indicated derivative using the chain rule. dy x = 1 t/5, y = 9t 1; - dx dy dx -

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A:

Q: Use a computer algebra system to analyze the function over the given interval. f(x) = sin(x) =…

A:

Q: a. i=4 2 i=1 b. lim X48 i +1 3 5+2-* c. lim 848 3 5 + 2x drug and

A:

Q: Given that f'(x) = cos(x), ƒ'(π/2) = 5 and ƒ(π/2) = 9 find: ƒ'(x) ƒ(x) = = ||

A: f ''x=cosx

Q: which exactly are the answers?

A: Revenue Function= x ×(Demand function) Total cost function = (average cost function)×(the  total…

Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A:

Q: (day) dxs Differential Equation dy +5. dx (x y")6+ (y)5 - 15y = 3 + 4x 2 dx² = ey [(y)2 + (y')³]² -…

A:

Q: 4. dy 2x = (3y + x). dx

A: As per the company rule, we can answer only the first question and rest can be reposted.

Q: The region bounded by the given curve is rotated about the specified axis. Find the volume V of the…

A:

Q: u = 3i - 5j + 2j and v = 7i + j -2k find the vector projection of u onto v

A:

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = + 2x on the…

A: Concept: A basic calculus strategy is to start by providing an approximation for a given issue, then…

Q: Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y),…

A:

Q: The differential equation du = -5y is a linear differential equation. dr Convert the equation to…

A: Given the differential equation : dydx=−5y

Q: Given f(x,y) = 4x²+7 + ♦ af (x,y) dx 11 2+7xy + 3y 3, match the partial derivative with the…

A: Concept: Let's say we have a function f(x, y) that depends on the values of two independent…

Q: A vertical cylinder is leaking water at a rate of  2 ft3/s.  If the cylinder has a height of 18 ft…

A: Please see the below picture for detailed solution.

Q: Sams puppy meatball has w = gut) where w is in age in months the weight function the lbs and t is…

A: Since you have posted multiple subparts questions in this question so i have solved first 3 subparts…

Q: ln(x) (y + ln(x)) dy - ((y ^ 2)/x) dx = 0

A: Separate the variables.

Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: The length of a rectangle is increasing at a rate of 3 cm/sand its width is increasing at a rate of…

Q: (e^x+4) dy dx =y

A: Given e2x+4dydx=y

Q: No sorry it wasn't meant to be done for each individual one, it's one option for the listed ones…

A: Given, the equation of a helix:rt=bcost i+ bsint j +1-b2 k We need to find the interval of t to find…

Q: Find the area of the sector of a circle with diameter 26 feet and an angle of of 57 radians. Round…

A:

Q: To find the length of one turn of the helix given by r(t) = b (cos) ti + b(sin)j + sqrt(1-b^2) k, t…

A:

Q: Suppose that the percent p (as a decimal) of people who could correctly identify two of eight…

A: We need to find out the number of days that will madimize the percent.

Q: Your teacher has given you the innitial value Solve it and problem write your as a symbolic function…

A:

Q: Question 40

A: We will find the required differenation.

Q: d²y If -y = 3x xy then find dy at the dx² point (2, 6) in simplest form. -

A: The function is given by -y = 3x-xy The point is x, y = 2, 6 To evaluate: The value of d2ydx2 at the…

Q: Find an equation of variation for the given situation. 5. y varies inversely as the square of x,…

A: Given, y = 0.15 when x = 0.1

Q: For the function, find all critical numbers and then use the second-derivative test to determine…

A:

Q: The graph of the solution region for the system of inequalities is shown below. Locate all corners.…

A: we can find all the corner point of the graph .

Q: 1. Find the derivative 4 ln 2) ³ 3x³ sin(2x) 5x2+3

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) J…

A: We have to solve integral by mentioned integral substitution.

Q: 1. Find the directional derivative of f(x, y, z) = x² + 2y² -32² at the point Po(2,-1,1) in the…

A: As per the company rules, we are supposed to answer only first question and rest can be reposted.

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 13…

A: Topic- Equation of tangent line on a curve. we are given, f(x) =13ex+3x  ;x=0we know that equation…

Q: An open box is to be made from a eighteen-inch by eighteen-inch square piece of material by cutting…

A:

Q: Given f(x, y) = 6x³ — 5xy² + 5y5, find fx(x, y) = fy(x, y) =

A:

Q: Question дz Find for z = e9ry dy Provide your answer below: Ple Əy

A:

Q: 6 Given f(x, y) = x + fxx (x, y) = fay(x, y) = + 3xy5 - 5y², find 3x

A: I am attaching image so that you understand each and every step.

Q: Find the derivative of the function. 6x fox u g(x) = u² - 1 3x u² + 1 du 6x 0 6x • LC² (u) du = [,…

A:

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x³6x² +9 Find f"(-3) and…

A: We need to find out the first derivative, second derivative and concavity.

Q: If the total cost function for a product is C(x) = 90 + 0.1x² dollars, producing how many units, x,…

A: The total cost function is given by Cx = 90+0.1x2 Where, x is the number of units produced. To…

Q: Find all points (x,y) on the graph of f(x) = 2x² -5x with tangent lines parallel to the line y =…

A: The given function fx=2x2-5x We have to find the points on the graph of fx with tangent lines…

Q: If −y³ + x³ - 4x² + 1 = 0 then find at the point (3,-2). dy dx Answer: dy dx (3,-2) Submit Answer…

A:

Q: The mass at time t of a radioactive substance is m(t) = m(0)ekt, where m(0) is the initial mass and…

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: