Find the intersection point approximately of the line y = 4x and the curve y = tan(z) in the interval, Hint: First convert problem to root finding.problem and show that the line and the curve has an intersection point in the given interval (by usingintermediate value theorem). Next apply one of the root finding methods to find the intersection point approximately.

Q: A) Find the nearest distance from the point (-4,2) and the line 2x-y =5 B) Find and tx sin 3z and y…

A: We use derivatives application to find minimize distance from a point to a line

Q: 3) Find the z-coordinate(s) of the point (s) on the curve y = ³ + 6x² - 2x + 15 where the tangent…

A:

Q: The line 2x − y + 1 = 0 is tangent to yhe circle at the point (2,5) and yhe center of the circl lies…

A: Center lies on x-2y=4.let the center be C(4+2t,t).nowradius r=distance of from the…

Q: ts (2,9) and (8,-1), exact distance between the.

A: The given points are 2,9 and 8, -1. We have to find the distance between the points.

Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: Find the complete solution of the following differential equations using integrating factor found by…

A: We need to solve the differential equation: yy2+1dx+xy2-1dy=0 using integrating factor found by…

Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: Find the y-intercept of the tangent line to the curve y =x at the point (2,8).

A: We have given, The curve y = x3 and the point (2, 8).

Q: The tangent to the circle x\power{2}+y\power{2}=5 at (1,-2) also touches the circle…

A: The equation of tangent to x2+y2=5 at (1,-2) is x-2y-5=0.putting x=2y+5 in the equation of circle,we…

Q: Find the equation of the shortest curve that describes the distance between the two points A(x₁, y₁)…

A: Two points :A and B

Q: Find the slope of the tangent line to the curve y =x +2 x at the point (1,3).

A:

Q: Find the point(s) on the curve y - The point(s) are separated by commas) 10 closest to the point…

A: Let's find points on given curve which is closest to the point (0,9).