Let a. Find (fog)(x). (fog)(x) = f(x)= 5 x and g(x)= 3 x²

Q: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

Q: Q04:4/ By using Exact equation solve the first order differential equation 2y² + ye* + (4xy + x² +…

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Q: 4. Let R be the region bounded by the following curves. Use the disk method (slicing method) to find…

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Q: Use the graph to find the following limits. a. lim f(x) X-1 b. lim f(x) X-3 a. Find lim f(x) or…

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Q: and b please its so confusing

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Q: Q5: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Given the differential equation is y''-5y'+6y = x2e-2x

Q: How do you simplify eiπ?

A: To find the value of eiπ   Formula:   By Euler's formula: eix = cos x +i sin x

Q: Use calculus ideas to find the required graphical values of the following functions: 23. Find the…

A: See this solution in below

Q: 2. (Equation of a Line) Write an equation of the line passing through the points (-1,3) and (8, 11).

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Q: Given that lim f(x) = 1 lim g(x) = −4 lim h(x) = 0, find the limits, if they exist. (If an answer…

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Q: If your weekly cost, C, (in dollars) to manufacture L laptops and D desktops is: C(L, D)= 5000+50L…

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Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…

A: The objective of the question is defining matrices. Note -  As per our guidelines we are supposed to…

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A: Solved below as per the definition of given terms.

Q: Book Problem 31 Find a function f and a positive number a such that f(x): a = = + [² 2+ f(t) dt =…

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Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

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Q: 6. Determine whether the vector field is conservative and, if so, find a potential function. a. F(x,…

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Q: +1 √2 1337 =?

A: Given i+121337

Q: The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t) =…

A: The speed of the hare is : H(t)=cos(t) The speed of the tortoise is : T(t)=12t

Q: 4₁ An online company lets you download songs for $0.99 each after you have paid a $5 membership fee.…

A: 4. An online company lets you download songs for $0.99 each after you have paid a $5 membership fee.…

Q: 22 e 1-§ 2(2-21) ² c: |z_11 = 1/2, 17-11-2

A: The given integral I=∮Ce2zzz-2i2   ;  C=z-i=12, z-i=2 Cauchy integral formula:   suppose that C is…

Q: Q4:A/ By using Exact equation solve the first order differential equation 2y² + yexy + (4xy + xexy +…

A: See this solution in below with details.

Q: ○ 0, 9]

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Q: Evaluate the following relations for given values f(x) = 3x² - 2x (a) Find (b) Find f(x + 2) f(1 -…

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Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² (a) lim (2,3)+(0,0) 24+4 (b)…

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Q: Solution is wrong

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Q: Graph on a cordinate plane by hand or a graphing device 2x-3y=18 3 -X -x + ²y = 8 zy If there is one…

A: The given equations, 2x-3y=18-x+32y=8

Q: What are the eigenvalues and eigenvectors of the following matrix? M= [ 0 1] [1 0]

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Q: Solve the homogenous diff equation of; xdx . (y+1) dy y³ e-x = 0

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Q: A bicycle tire inner tube producer can sell 1111 inner tubes at a price of $1.54$⁢1.54 per inner…

A: Given problem:- A bicycle tire inner tube producer can sell 11 inner tubes at a price of $1.54 per…

Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: See this solution in below.

Q: 2. Evaluate y dV, where: E = {(x, y, z) |0 ≤ x ≤ 1,0 ≤ y ≤ 4x, y ≤ 3. Find the gradient vector, Vf,…

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Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. O False b. True

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Q: 2. Verify that each given function below is a solution of the differential equation y"" + 4y"" + 3y…

A: we will verify.

Q: Find the general solution of the given differential equations by the concept of Exact DE and…

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Q: Find the general solution of y'=cos²xcosy

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Q: DEFINITE INTEGRALS Evaluate each of the following definite integrals: 21. ²(6x² + 3)dx 22. (4x+1)dx

A: To evaluate the integral.

Q: What is the dot product A•B if A=2x-3y and B=15x+10y?

A: We have to find dot product of A and B here

Q: A wheel with a diameter of 31 meters is moving forward at 112.1 meters per second. How fast is the…

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Q: nts. The results of 120 parts are summarized as follows. Length Excellent Good 84 12 15 9 Surface…

A: We  are asked to find the probability that the length is not excellent.

Q: Question Find the area of the region pictured below that is bounded by the functions f(x) = x² - 6x…

A: Topic - Area Bounded by curves

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

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Q: lete the table below. 5.9 x→b 5.99 5.999 6.001 6.01 6.1

A: Topic:- application of calculus

Q: ( Describe the end behavior of the function h(x) shown, using limits at infinity. 3 2.5 2 1.5 1 0.5…

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Q: Let A= 10-2 02-5 and b= 11- Denote the columns of A by a₁. 2. 3. and let W=Span (a₁. ₂. 3) -26 2 a.…

A: The objective of the question is linear combination of vector and choosing the correct option.

Q: Find the next three items in the pattern. Be sure you understand (can justify) your reasoning. A0,…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

Q: 6 5+ 4+ 3+ 2+ 1 0 1 2 + 3 R 4 5 6 y=x-4 ·x=y²+2

A: Given, Area of R is 103

Q: 4. Perform the indicated operations. Use principal arguments throughout. (a) [22(x/3)].[32(x/2)] (b)…

A: (a) We have to evaluate 2∠π3.3∠π2

Q: The random variables A and B have variances 0.3 and 0.4 respectively. Let T= 5A-2B. The variance of…

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Q: 1.) Which of the following is not a solution to Show your solution. a.) y = xcos(x) + kx b.) y =…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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