For the following integral: f3ae-2 dx

Q: A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt…

A: This question can be solved using the concept of linear differential equation.

Q: (a) Find the Taylor series expansion of the function et around x = 0 (b) Use the series above to…

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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: x-2 x-2x²+x-6 5. Evaluate: lim

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Q: (c) If b = 1, what is the range of this function? (Enter your answer using interval notation.)

A: Topic = Function

Q: 1. Given: F(x)= 3x²+x-4, G (x) = 1-x' and H(x)= Find the following. H(-4) F (0) G (-5) a. b. C. x +…

A: As per our guidelines we are allowed to solve only 3 sub-parts. kindly repost others. THANK YOU.…

Q: quart is 25 percent of what measure?

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Q: Find each of the following. Write DNE if the limit does not exist. lim f(x) = x-1 Find each of the…

A: Topic - Limits

Q: If you count from 1 to 100, how many 7's will you find along the way? Answer in numeric format only.

A: if you count from 1 to100,how many 7's will you find along the away?

Q: Prove that tan'z= let% 1/2 in (1+2) ة لله tan't Z • tanw=Z Z = Sinw cosw

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Q: The radian measure of an angle of - 218 degrees is

A: For the given problem We can change degree into radian

Q: R is the region bounded above by the function f(x) = −4+7 and below by the function g(x) = - + 2…

A: We need to draw graph.

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

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Q: This question has several parts that must be completed sequentially. If you skip a part of part.…

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Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12…

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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: 2 xa tinh xx > 11/ash+²³1 +0

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Q: EXAMPLE 2 Finding Volume Find the volume of the prism whose base is the triangle in the xy-plane…

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Q: C. Find the standard form of the equation of a circle given the following conditions. 10 10. Passes…

A: We can solve it by various method but i solved it as shown below.

Q: Find the limit x-5 lim x→5 x²-25

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Q: 28. F(v) V v+2

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Q: The Z-transform of the following function f[k] = 2.2k +$.(-5)* – ²³ (-4)* is so the constants A and…

A: z transform

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

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Q: 2. Show that the function f(x) = xsinx has in infinite number of Critical Points by doing the…

A: The given function is : f(x)=xsinx Now finding the derivative f'(x) :

Q: 1. Find the derivative using the Fundamental Theorem of Calculus, Part I, without evaluating the…

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Q: 3) Determine the speed of change of volume of a rectangular parallelepiped, knowing that the edges…

A: Let the length of base edges and vertical edge are x, y and z respectively such that dxdt = +2…

Q: 3. dy + dx x² (y² + 3) y (x³+1) = 0.

A: Here we have to solve the differential equation.

Q: Differentiate. g(x) = 4x-9 5x+1 g'(x)= 3 + X

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Q: Find the area of the region enclosed by the curves y = 2 - x² and y = x. (a) (c) 9 2 54 (b) (d) 40 7…

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Q: If you count from 10 to 120, how many 5's will you find along the way?

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Q: a tractor is purchased by a local farmer for $ 12,000 and straight - line depreciates to $ 0 in 20…

A: Given 1. Purchase price of tractor =$12,000 2. Depreciates to $0 in 20 years

Q: In Problem 1-10, write the given sets by extension. when possible 1- 2 A= {x/e B₂{x|x is a 3- C =…

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Q: Use the given graph to determine the open intervals on which the function is either increasing,…

A: Graph of the function is given, we have to find the intervals for which the graph is increasing,…

Q: Can

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Q: 1. Prove that for all x, y ER, max (x, y) x+y+lx-yl 2 x+y-lx-yl 2 and min (x, y)=-

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Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0

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Q: im -3 1 x+5 8 x-3 ►

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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: 2. y' y' = ysecx

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Q: Evaluate the piecewise defined function at the indicated values. 7x if x 5 Read It Watch It 6 Master…

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Q: дz əs дz at || 11 z = e cos(8), r = st, 8 8 = √ S6 + 56

A: Solution is done in step 2,3

Q: Find the center and radius of the circle. x² + y² = 36 center (x, y) = radius

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Q: sine = COSA coto || || || |||| CSCD= sec 0 =

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Q: 3. 4. dy dx xdx x² (y² +³) + y (x³+1) e-x + (Y+) dy y ³ = 0 = 0

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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: 1. Let F(x)=√1+t² dt. Find F'(1).

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Q: (3) Find the radius of convergence of a) infinite b) 1 not defined 0 infinite X Σ₁ F

A: The given series is: ∑j=1∞xjj2 Let, aj=xjj2; j≥1

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: Find an equation of the plane passing through (0,-1,3) that is orthogonal to the planes 3x+4y-2z=0…

A: Let's find equation of the plane.

Q: The radian measure of an angle of 244 degrees is

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