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A: Please refer to the image below.
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A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 (1). Given: y=u28…
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A: This question is based on solution of homogeneous differential equation.
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A: Explanation of the answer is as follows
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A: We are given the differential equation dydt=-10e-t/2 and y(0)=20. First, we will be solving the…
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Q: Find d2y dx2 in terms of x and y. x2y2 − 2x = 7 d2y dx2 =
A: Given The equation is x2y2 − 2x = 7
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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: y" -2y'-3y= 4e* +5, 54 d³y d²y 9. 3x %3| 3 10. . = 3e* +4x? dx? Soluc
A: In the question it is asked to solve the differential equation y''-2y'-3y=4e3x+5…
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Q: dy if y = In dæ 3x + 2 \ 1/4 22. Find x2 – 5
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Q: 523 + 222 – 5 y = dy then dz 3x + 2
A: Consider the provided equation, y=5x3+2x2-53x2+2 Find the derivative of the equation with respect to…
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- I keep getting the max as (-¼, 0, -1/4sqrte), the min as (-¼, 0, -1/4sqrte), and the saddle point as (0,0,0). However this seems to be wrong. The only thing I'm confident in is that x is +/-¼ but I went with y = 0 because when I try to find fy(x,y) = 0 I keep coming up with nothing.1. Find the equations of all tangent lines to the curvex2+4y2=8 that pass through the point(−4,0).The curve defined by ax^3 + bx^2 - 4x + 12 cuts the x-axis at three points. Two of them are known: 1 and -2. Determine the third.
- A river flows between the lines x = 3 and x = 4. Where should a bridgebe constructed to minimize the path from 0(0. 0) to P(5, 4)?Find the slope of the curve y=x2−3x−4 at the point P(2,−6) by finding the limiting value of the slope of the secant lines through point P.A particle moves in a straight line such that its acceleration when at position x (with respect to a given coordinate system) is given by: a = 7x2 + 3 If its velocity, v, at position x = 0 is given by v(0)= 2, what is the velocity of the particle when at position x? Give your answer in terms of x.
- Find the equation of a Tangent line to y = 2x2 – 5x – 1 that is parallel to line x + y – 3 = 0.Solve using crama's rule: 2x - 2y + 3z = 13 5x - y + 4z = 11 x + 3y - z = -10The curve y=ax^2+bx+c passes through the point (3,6). The line y=4x+1 is tangent to the curve at x=0. What are the values of a, b, and c?
- The tangent line to the curve y = 1/3x^3−3x^2+9x+12 is parallel to the line 8x−2y=3 at two points on the curve. Find the two points.the sloper of the curve 2y2=ax2+b at (1,-1) is -1.Find a,bFind the orthogonal trajectories for the family of curves x2 − 2y2 = C . Use a graphing utility to graph several members of each family.