Can you express cos(7x) in terms of powers of cos(7x) Start from: cos(7x) = cos(7x) + i * sin(7x)

Q: etermine whether the matrix A [ 0 4 ] [-4 0 ] is diagonalizable .

A: A=[0 -4      -4 0]

Q: -5 (-2,9) (-1,-1) 30 20 10- 0 -10- (2.-7) The average rate of change from x= -1 to x= 5 is found…

A: Given graph:

Q: 2) lim f(x), f(x) = 2 x→1+ A f(x) + 1. x < 1 x² - 4x +3, x ≥ 1

A:

Q: 1. Solve the system by Guass Elimination Mehod x - y = 0, 2x-2y+z+2w = 4, y+w = 0, 2z + w = 5.

A: To solve the following system by Gauss Elimination Method.

Q: Write the equation of each of the following. Use the form y= a√b(x-h) + k a. b.

A:

Q: c) y = sin 53x e) — (In|sin x) d) Find s" (t) for the function. s(t) = 3t² + 5e f) y = sin-¹(x² - 1)

A: To differentiate the following and to simplify.(c) To find .(d) To find  for the function.(e) To…

Q: Complete the square and find the indefinite integral. (Remember the constant of integrati √…

A: The given integral is

Q: The function f(x)=√16 - 2x is continuous on the interval [0, 8]. Which number is its average value…

A:

Q: Solve the initial value problem for a = 0 and b = 1. 3y²√√x² +1ªy =-x, y(a)=b dx

A: 3y2+1) dy/dx = -x, y(a)=b, a=0,b=1

Q: Let f be the function defined by f (x) = x³ = ³²x² A B (0) (D) -10 72 3 6. What is the absolute…

A:

Q: (a) Find a Taylor series for f(x) = ln x at a = 1 (b) Approximate In (1.1) to three decimal places…

A: We have to find the Taylor series of function f(x) at a=1.

Q: f(x) = 3x² + 39x + 120 2 2x - 35 x² 2

A: f(x)=3x2+39x+120x2−2x−35

Q: -5 1 10 5 10 --5 --10- E -15 -20- (2,-10) (5, -19) 5 The Instantaneous rate of change at x=2 is (8,…

A:

Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

A:

Q: Find the series solution first 8 terms. about an appropriate point. Write down the

A:

Q: The fox population in a certain region has a continuous growth rate of 6 percent per year. It is…

A: The Fox calculation in a certain region has a continuous growth rate of 6 percent per year. It is…

Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. a) f(x) = e²x, a = 0

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Determine whether the series converges or diverges. Show your work clearly and state the test used.…

A:

Q: The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

A:

Q: 8.G is the centroid of an equilateral triangle ABC with base BC of side 60 cm If GBC is cut from the…

A:

Q: Compare the domains and ranges of the following two functions. Using graphing calculator. a.…

A:

Q: (b) A water tank is shaped like an inverted cone with height 8 m and base radius 1 m. If the tank is…

A:

Q: Determine whether the integral is convergent or divergent. Evaluate if it is convergent. dx where a…

A:

Q: Differentiate the following and simplify. Show all work, thank you! Part ( a) and (b).

A:

Q: Convert the equation r= 10 sin 0 to Cartesian coordinates. Describe the resulting curve. Choose the…

A:

Q: You have been provided with the integral below. Calculate it by exchanging the order Of integration…

A:

Q: Determine whether the series converges diverges. State the test 15h OV 며

A:

Q: Find the arclingth of A) r(6) = 4cos (0) OS OS T ... B) / X (²) = +²+1 2 y(t) = 2³² +2 1≤t≤ 3

A:

Q: During the time period from t = 0 to t = 5 seconds, a particle moves along the path given by…

A:

Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

A: We need to find x-intercept.Given,

Q: of the region enclosed y=x²-5 and y=4 ind the area

A:

Q: What is the average rate of change over 2 ≤t≤ 4? t f(t) A. 2.8 2 1.8 3 3.4 B. 1.4 4 4.6 5 6.4 6 8.4…

A:

Q: Large black-tailed gulls usually lay one to three eggs, and rarely have a fourth egg clutch. It is…

A:

Q: Evaluate SAV dx where A=x² and B= 25 tx² Which integration techniques did you use?

A: The given integral is 1/[A√B] ,A=x2,B=25+x2.

Q: Q/Find the differential equations 1 2 3 dx + 2/x dy = dy = 2x²y²dy 4 2 ✓ + ² y = x/2² y y xdy - ydx…

A: According to our bartleby expert guidelines only first individual question is to be answered kindly…

Q: 2 The region bounded by f(x) = -3x² + 21x + 24, x = 0, and y = 0 is rotated about the y- axis. Find…

A:

Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the…

A: The region is bounded by the curves

Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. a) f(x) = e2x, a = 0

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find all y-intercepts of the following function. Express your answer as a coordinate point in…

A:

Q: Given x+y+z=3 and Pô(2,0,1), find the following. (a) Find the equation for the tangent plane at the…

A:

Q: Question 4.2. In each case let R be the region under f over the given interval and let S be the…

A:

Q: f(x) = 3x + 4 2x² + 14x - 36

A: f(x)=3x+42x2+14x−36

Q: If x²+y²-25, what is the value of A B C D E 27 27 7 27 334 25 27 d'y dr² at the point (4,3) ?

A: The given equation is;x2=25

Q: Find the Maclaurin series for the the function f(x) = 1 √5 - x

A: Find the Maclaurin series for the function

Q: The graph of z = f(x) has the point (5,- 8), what would the point be on the graph 1 of Z (1) (30,…

A: The given function z= f(x) has the point (5,-8) .

Q: Use the rules for sums of powers to evaluate the following sum. Provide your answer below: 15 Στι…

A:

Q: Use a right-hand rectangular approximate to estimate the area under the curve over the interval [0,…

A:

Q: 4√√√√32-x²√√32-x²-y² TTT 00 Write the triple integral using spherical coordinates. Do not evaluate…

A: I=∫042∫032−x2∫032−x2−y2xdzdydxUsing spherical…

Q: Find the standard form equation for a hyperbola with vertices at (16,0) and (-16,0) and asymptote y…

A:

Q: Assume you know that F(x, y, z) = (e² — zsin x)i + 3y²j+ (xe² + cos x)k a) Demonstrate that the…

A: