(x" + 2x + 4y = 0 ly" + x + 2y = 0 x(0) = y(0) = 0 %3D x' (0) = y'(0) = -1 of bee %3D ondeplo no etmoq vd nol at model includes two constant Kom uoYwoled Instead of In Geogebni

Q: y = xe?u y = y' = e3z+2y

A: 1)y'=xe2y 2)y'=x2/y 3)y'=e3x+2y Repost the next parts.

Q: Find the given higher order derivatives. et (x) = cos(3x- 2). Find f"(x). 39) %3D (153) (x). %3D

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Q: For what values of K is the following integral improper? 5x dx x2 - 19x +90

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A: Explanation of the answer is as follows

Q: x dx-x cos? x dx + (sin x tanx sin y ) dy = 0. %3D

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Q: 10. Determine whether the improper integral converges or diverges 3 dx (x – 1)3 -

A: Given query is to integral converges or diverges.

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A:

Q: sin(ø) = 2 3 and <0. Given that <0< what is the exact value of cos(20)?

A: Here, given that sin θ=23; π2&lt;θ&lt;π That is θ is in the second quadrant. Therefore, cos…

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A: Given series is alternating is convergent

Q: = 8e7x

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

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A: This is a problem related to integration of the inverse trigonometric function. Based on the general…

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A: To find the volume ..

Q: GIve a DIICI UUJUTiption UI Take a screen shot and paste it into column 3. Submit a pdf format-Use…

A: The given curve is: x2-xy-y2=1...(1)

Q: A 2-ft-high and 5-ft-wide r

A: answer is in next step

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Q: Approximate the area under the graph of f(x) = 0.03x* - 1.44x + 43 over the interval [3,7] by…

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

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Q: (b) Determine if the lines are distinct parallel lines. If they are, find an equation of the plane…

A: We need to find equation of plane.

Q: sec?x - dx |1- 4tan²x 1 –

A: We will solve this question using simple Integration formulae.

Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: What does the average velocity over the time interval [a, b) approach as we let b a. Mathematically…

A: Average velocity of a body is defined as the change in position or displacement (Δx) divided by time…

Q: 2. fCx) = x+2-100 fcx)= Solve this question by the Bisection method on the copic of solution of…

A: We will solve the equation by putting value of x.

Q: Use the transformation u =x + 2y, v=y-x to evaluate the given integral by first writing it as an…

A: The answer is in below steps.

Q: 1. Which of the following statements is TRUE? (Circle ALL that APPLY) The minimum velocity occurs at…

A: We want to find the correct statements.

Q: Find f. f '(t) = 4/(1+t^2)     f(1) = 0

A: Topic = Integration

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: in find laplace %3D

A:

Q: What is the bottom equation for this, please ?

A: Apologies for the inconvenience.   We graph the given equations using graphing calculator.

Q: Consider the graph of y = S(2) shown below in blue. Estimate the value of the derivative at z 1.…

A: The answer is in step 2.

Q: () Write the linear system in matrix form. Assume X = dx 3D —Зх + 5у - 92 dt dy dt 4x — У dz 10x +…

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Q: If sin(0) and 0 is in quadrant III , then find: 3 - - (a) cos(0) %3D (b) tan(0) = %3D (C) sec(0) =…

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Q: Find the difference quotient where h+0, for the function below. s)--3x+3x-7 Simplify your answer as…

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Q: What is the area of the given triangle? Round to the nearest whole number. 57 ft 38° 62 ft

A: Here we have to find the area of the given triangle.

Q: Current Attempt in Progress Find the value of b for which the differential equation (yeTwy + x) dx +…

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Q: Evaluate the double integral / (a (x² ,2 + 8y) dA, where D is bounded by y = x, y = x°, and x > 0.

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Q: Consider the solid bounded below by the xy-plane, on the sides by the sphere p= 3, and above by the…

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Q: A fence must be built to enclose a rectangular area of 20,000 ft2. Fencing material costs $3 per…

A:

Q: The following refer to the following data set: 87 40 67 80 32 87 28 96 27 88 84 What is the mean (2)…

A: The given data set is: 87 40 67 80 32 87 28 96 27 88 84 The mean is the average value in a…

Q: Problem 1 f(x) = x2 − 1 g(x) = -x + 2 , x = 0, x = 2 a) Sketch the graphs of the equations given…

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Q: 9. A population of fish increases by 8 every minute. If there are initially 1600 fish, find a…

A:

Q: 3 5. Sesx )dx e3x.

A: Solving the problem by finding the values of the integration.

Q: 6. Find the area bounded by: a. The curve y3D4x-x and the lines y=0, x-1 and x=3. b. The…

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Q: * Determine whether the integral is divergent or convergent. Find the value of the integral if the…

A: Given query is to find the value of the integral

Q: Example s- . Sketch he region of inteyration anol evalunte the integal-

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Q: 00 n=1 5n_1

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Q: Find the centroid of the region cut from the first quadrant by the circle x +y =

A: Given x2 + y2 = 81 y=81-x2 Area of Quadrant(A) = πr24                              A  = 81π4

Q: Expand each function (using the appropriate technique/formula). Compute the derivative of the…

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

Q: Problem 3. Consider the function 1 F.(s) = %3D 1+(-js)2n 1. Find the poles of F(s). Is F(s) stable…

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Q: Find the volume of the solid that results when the region enclosed by 1 x² and x = 6y² is revolved…

A: