The Maclaurin series for f(x) = cos(x) is x² (-1)" (x) 2n (2n)! 1- 2! n=0 T(x) = By transforming the series for cos(x), find the Maclaurin series f(x) = cos(-4x). (Your terms should be entered from smallest degree to highest degree.) Written compactly, this series is: T(x) = = + 00 n=0 4! 6! +

Q: Find the limits as x → ∞ and as x → ∞o. (I y = (2-x)(1 + x)²(1 − x)4 lim f(x) X→∞ = lim f(x) = 8118…

A: y=(2-x) (1+x)2(1-x) 4

Q: Jo F. dr where C is oriented counterclockwise as viewed from above. Use Stokes' Theorem to evaluate…

A:

Q: Question 4 Let y = (x² − 1)³(e³ª + x²)-². Then equals a) 3₁-3-² (b) 31- 3e³x +2x e³x+x² (c)…

A:

Q: if y=2u^4-4(u^2-2u)^2 and u=√x-1 find dy/dx when x=10

A:

Q: 21. f x² In(1+x) dx

A:

Q: The Cartesian coordinates of a point are given.    (-8,8)   Find polar coordinates (r,theta) of the…

A:

Q: dt 2wt=t²2w³ dw

A:

Q: If the function f defined by cx + 4, x 2, is continuous everywhere on (-∞o, co), what is the value…

A:

Q: En_2arctan(n3) (a) We use the Test for Divergence. We start by finding (n³). lim an = 818 lim arctan…

A:

Q: The graph of the rational function f(x) has no horizontal asymptote. True www. 4x False

A:

Q: Give the exact values of each of the following: cos(30°) = cos(45°) = cos(60°) =

A:

Q: x-coordinate of absolute minimum = f(x) = 4x ln(x) — 11x, x > 0.

A:

Q: Find the value of the line integral F. dr.¸ where F(x 3) = 2i + 4zj + 4y³% and r(t) = costi + sint…

A:

Q: Evaluate (x-6y+z)ds, where S S: z = 12-x, 0≤x≤ 12,0 ≤ y ≤ 12

A:

Q: The velocity function (in meters per second) for a particle moving along a line is given by v(t) =…

A:

Q: Let f(x)= 2x on the interval [0,4] Use a Riemann sum with four subintervals of equal length (n=4) to…

A:

Q: Answer the following questions based on the graph of f(x). -3 -1 4 3 1 -1 2 1 2 3 a

A: Find  The relative max of f(x) is .... which occurs at x= .... The relative min of f(x) is ....…

Q: 9-x2 9-x2-y² 30. ***√x² + y² dz dy dx 0 3 S³₁ -3 JO

A: The given integral is:∫-33∫09-x2∫09-x2-y2 x2+y2 dz dy dx

Q: lim x→0 tan-¹ (8x) - 8x cos (8x) - 256x³ 3 3 x5

A: limit of the given function.

Q: Consider the function f(x) = 4 - 2x², - 5 ≤ x ≤ 2. The absolute maximum value is and this occurs at…

A: given,  f(x)=4-2x2,  -5≤x≤2

Q: You can rent time on computers at the local copy center for $7 setup charge and an additional ​$3.50…

A: Given: You can rent time on computers at the local copy center for $7 setup charge and an additional…

Q: Ex.3 Find all absolute extrema if they exist, as well as all values of x where they occur. 9 f(x) =…

A:

Q: The average profit function is defined as x)= (x) X O True 2°F zainy tomorrow O Search O False a

A:

Q: find area enclosed by lutve a) x²=1²=2+₁ Y=FF and y-axis )

A:

Q: Calculate the area of the surface obtained by rotating the curve of the following function about the…

A: The given surface is:y=x+3      with 0≤x≤1

Q: The base of the solid is the triangle enclosed by x + y = 11, the x-axis, and the y-axis. The cross…

A: It is given that the base of solid is triangle enclosed by x+y=11, the x-axis and the y-axis. Also…

Q: 3 Calculate the integral (6x² + 2). √x³ + x dx by u- substitution.

A: ∫6x2+2·x3+xdx

Q: Question 2 Find the derivative of the given integral -2x fit sec sec (x) dt 1/x

A:

Q: Find all values of r at which the function x-8 f(x) = x² - 6x +8 is not continuous.

A:

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A:

Q: ·/ / √₂ (²2² +2² (x² + y² + z²) dV, where E is the ball x² + y² + z² ≤ 16 Evaluate

A:

Q: Calculate the line integral of F(x, y, z) = (e²,e.e) c

A:

Q: A balloon is released from the ground 100 meters from an observer. The balloon rises directly upward…

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

Q: Suppose f(-3) = -3 and f'(-3) = 3. Find the following. d ((3x² + 7x − 3)eƒ(²)); dx d f(x) dx…

A:

Q: Ga Time (h) Text messages 0 25 65 Cost ($) 0 5 13 3. Andy's text plan for his cellphone is shown in…

A: (a) to draw a graph. (b) slope, m = ? & what does it mean?

Q: Find how much money needs to be deposited now into an account to obtain $3,800 in 5 years if the…

A:

Q: Using the concept of composite areas, determine the location of the centroid of the given composite…

A: The solution is shown in step-2

Q: [² x X e 1 (ln(x)) 5 dx

A:

Q: A fencing is limited to 20 ft length. What is the maximum rectangular area that can be fenced in…

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

Q: Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to…

A:

Q: Calculate the integral and show work: ∫ (dx)/(x^2 * √(x^2-4))

A:

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A:

Q: A wall "h" meters high is 2 m away from the building. The shortest ladder that can reach the…

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: Determine whether or not the vector field is conservative. F(x,y)=35x6y6+30x7y5 a. conservative b.…

A:

Q: Find f(3x + 2y)dA where D = {(x, y) | x² + y² ≤ 1, x ≥ 0} Calculator Check Answer

A:

Q: A company has found that the cost, in dollars per pound, of the coffee it roasts is related to…

A: A company has found that the cost, in dollars per pound, of the coffee it roasts is related toC'(x)=…

Q: Graph the following function: y = Answer Step 2 of 2: Determine how the general shape of the graph,…

A:

Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ r(t) = t²i+tºj 126 5 (81 +¹4+4)³ X to…

A:

Q: The path C is a line segment of length 15 in the plane starting at (5, 4). For f(x, y) = 3x + 4y,…

A: Segment length=15,Starting point=(5,4)f(x,y)=3x+4y

Q: Find the mass of a lamina bounded by y = 5√x, x = 4, and y = 0 with the density function o(x, y) = x…

A: