3 If ƒ (x) = 2 + x, evaluate Σƒ (k+1). k=1

Q: Evaluate are f(4) And solve f(x)=1

A:

Q: Find the length of one turn of the helix given by r(t) == cos(t)i + sin(t)j + 1 1 99 25 -tk.

A:

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

A:

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600…

A:

Q: 6)Find the first quadrant area of the region bounded by curves defined by given equations

A:

Q: 7. lim x-1x³ 2x²-x-3 + 2x² + 6x +5

A:

Q: Consider the function f(x) = 4 − 2x² on the interval [ – 2, 3]. Find the average or mean slope of…

A:

Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A:

Q: Sketch the region enclosed by y = 5x and y = 6x². Find the area of the region.

A:

Q: Use the binomial series to expand the function as a power series. V1-x 01-x-3-7--- (4n — 5) xn Σ - n…

A: The binomial series of (1+y)n is expressed as (1+y)n=1+ny+n(n-1)2!y2+n(n-1)(n-2)3!y3+......    where…

Q: = Approximate the area under the curve y = x² from x with 6 subdivisions. 3 to 6 using a Right…

A: We have to approximate the area under the curve using Right Endpoint Approximation.

Q: for evey 2 adults there are 3 children if 275 ppl attend how many kids are there

A: given that, for every 2 adults,there are 3 children total number of people=275 how many kids are…

Q: 2. Find the MacLaurin polynomial of degree 16 for the function F(x)= So sin (6xt²) dt.

A:

Q: Use the graph of f (x): = Enter the exact answer. 1/1/00 below to find a number & such that |ƒ (x) -…

A: The objective is to find the value of delta.

Q: Test 8 2k √k for convergence

A:

Q: Determine the infinite limit: O -∞ O 8 7-x lim x 4 x² - 2x - 8

A:

Q: The opposite vector of 10 N [S80°W] is 10 N [W10°S]. True False

A: Please see the below picture for detailed solution.

Q: . Given TR = 45Q -0.5 Q², TC = Q³-8Q² + 57Q + 2, find out the level of : output at which firm…

A:

Q: X 2 Find x² +1 -dx

A:

Q: y = -x³ + 9x² - 3 concave upward concave downward Submit Answer x0

A:

Q: 12. How long will it take an investment that earns 17.6% annual interest, compounded continuously to…

A: Above quedtion is solved. Only one question is solved. Solving more than 1 question is against the…

Q: Find the inflexion point(s) of f(x) = x²-3x²³

A:

Q: What is the radius of convergence of the series R=2 b. R=1 R = ∞ d. R=0 a. C. +∞ xn n+1 -?

A:

Q: What is the max area of a rectangle placed between the x-axis and the function f(x)= -x^4 + 3

A: Answer : Maximum area should be 4.225 unit2 .

Q: You are driving on a toll highway from King Road to Queen Road (a 50 km drive) in 25 minutes . Two…

A: Suppose, s(t) is the position function after t hours of time in km. Now, s(t) will be continuous and…

Q: c) 2 √9x²-16 x² dx

A: Given problem:- ∫9x2-16x2dx

Q: 1. (a) Use the Euclidean Algorithm to find ged(125, 793). (b) Using the workings in (a), find m, n €…

A:

Q: 3. f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below…

A:

Q: Find the partial derivatives fx (3,5) fy (3,5) for the function f(x,y)= y^2/x-y

A:

Q: 2. Given the vectors à = (a₁, a₂, a3) and b=(b₁,b₂, b3) show that a × b = -b xã.

A:

Q: Σ(-1)^+¹ Test k=1 1 for absolute/conditional convergence

A: The given series: ∑k=1∞-1k+11k5 .We need to test for absolute onvergence and conditional…

Q: - 7. Find the area bounded by the curve y² + x − 4y = 5 and the y — axis

A: We have to find the area of the given curve and line.

Q: 4. The population, P, of a school of fish t years after being released in a new habitat is given by…

A: The solution is given below

Q: Sketch the region enclosed by y 7x and y = 6x². Find the area of the region.

A:

Q: 5y4+7=x4-3y; x=3, y=-2

A: To find slope of a line tangent to the given curve at a given point. To make a sketch of this…

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A:

Q: 00 ΣΤΑ 1 — (−1)n-¹n² 10 Select one: O True O False ≈ 0.0676

A:

Q: 0 4 From a square piece of metal of side length 6 m, four squares are removed as shown in the…

A:

Q: y-e-x4cos4x ស

A:

Q: What are two numbers whose sum equals to 23, and whose product is a maximum

A: Let the two numbers be x and y.

Q: 3. xy = a², y = 0, x = a, x = 2a.

A:

Q: UX = Iz = uz = ly = Find the limits of integration ly, uy, Ix, ux, lz, uz (some of which will…

A:

Q: у=ех

A:

Q: (4) (g) S 40t2 4t²+25 - dt S du = u-atan-¹"+C u² u²+a² (be sure to list the parameters: a,b,u,…

A: Given ∫40t24t2+25dt   And use ∫u2u2+a2=u-atan-1ua+C

Q: Test and k=/ each name K+ k³+1 of all the tests following. you for use. Conver

A:

Q: Find the area under the curve y 9 x over the interval [1, 5]

A:

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

A:

Q: e) 3 (12x²-108) 2 x + x - 12

A:

Q: Problem Set question: The position function for a falling objects is given by s (t) = -16t² + vot +…

A:

Q: 1. The graph of y = f(x) is given below. -4 2 2 a) Find lim f(x) or state why it does not exist. 7+1…

A: