d is reflected over the line y =

Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4) 25 O a. y = 7x 4 13 25 O…

A:

Q: dp +t². dt For p(t) dw For w(u) = Vu - 2u? – 10, du

A:

Q: r?= x? +y' Find dy

A:

Q: (x + y – 2) dx + (x – y + 4) dy = 0 |

A: Given:-(x + y - 2) dx + (x - y + 4) dy = 0To find: Find the family of equations

Q: dy If x= y1- y² , find dx X = y•

A:

Q: ex* dx dy to

A: Definition used -         Change of order of integration - Sometimes we have to change the order of…

Q: So IVe the Pollowing D.E cx-DCX-と) +y dy メ ニ dx

A:

Q: If y varies directly with x, and x = 7 when y = 28, find y when x = 13. %3D Oy = 42 O y = 17 Oy = 52…

A: y varies directly with x.  ⇒y α x⇒y=kx     →1  , where k is the proportionality constant. Also given…

Q: Evaluate x+y JF dx dy x² + y² + a² over the portion of the first quadrant lying inside the circle x²…

A: Answer is given using polar coordinates.

Q: y =x (T* + e*)6

A: SOLUTION-

Q: If xy – x³ y = 2, find at the point (1,1 dx

A: We have to find

Q: Find df / dx and ðf / dy. f(x,y) = e(x + y + 8)

A:

Q: Get Part CUlor solu ti om ay 2メy dt 2y?); *=0, y=4

A: The given differential equation is dydx=2xy(3x2-2y2); x=0, y=-1

Q: y+ z)dydxdz is eq

A:

Q: dy a) Find in terms of y, if x= e* in terms of y, if x= e*+Insin y dx

A:

Q: dy re: (e + e-")- = y² (separation of variables) da

A: Given that: (ex+e-x)dydx=y2

Q: dy y – 5e' , y(0) = 10 dt

A:

Q: Find d'y /dx? Y = xtan (=)

A: d²y/dx² means we have to calculate second derivative of the function.

Q: d?y Calculate dx y = -

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: dy If y = sec? Va then dx

A:

Q: Does E(X|Y) = ∫(x*p(y|x)*p(x))/p(y) dx?

A: Given that  E(X|Y) = ∫(x*p(y|x)*p(x))/p(y) dx

Q: y = sec?(x), 0s

A: The given curve is- y=sec2(x)  , 0≤x≤π4 We need to use a graph to find a rough estimate of the area…

Q: Find the distance between the lines: r = + t r; = + s

A: Given: r1→=1,1,0+t1,6,2 and r2→=1,5,-2+s2,15,6 where a1=1,1,0 , a2=1,5,-2,b1=1,6,2, and b2=2,15,6 To…

Q: f d(x, y) denotes the distance between two points

A: answer is in next step

Q: Evaluate yz dx +y dy +a dz, where C is the line segment from (2,0, –1) to (4, 1, 2).

A:

Q: dy + ycotx = 5ecosx dx

A: Explained below

Q: dy If y = x. 5* then dx

A: To find the derivative of the given function.

Q: Compute Δy and dy for the given values of x and Sketch a diagram showing the line segments with…

A: Given: Now,

Q: If y =x*, d'y Find dx?

A: Given  y=xx

Q: SS(x, y) dA = [ [ dx dy R

A:

Q: Find the the point on the line l: +t 0 | closest to the point P(3, 2, –2). ||

A: The given line is                             l: xyz=101+t00-1 and a point         P(3,2,-2)

Q: If y dy then dx y = 4x

A:

Q: Evaluate S(-x+y+z)dx + (x+y-z)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to (3,-2,…

A:

Q: (b) Calculate dx ds ду ds dz ds II || ||

A:

Q: If xy – y = x² – 5, then dx

A: xy2-y3=x2-5 Differentiating both sides with respect to 'x' we get, ddxxy2-y3=ddxx2-5…

Q: If z = x² dz = Az = - ·xy + 4y² and (x, y) changes from (1, −1) to (0.96, −0.95), compare the values…

A:

Q: Calculate dA, where R = [0,7] × [0, 4]. Ye¯xy R swer:

A:

Q: If x^(1/3) + y^(1/3) = 4, find d2y/dx2 at the point (8, 8).

A: Applying derivative for the given equation with respect to x:

Q: . аE L; \xEL ха,хbє L . ає L; Vx€L bx, хb € L . аE L; VxEL ах,хbє L

A:

Q: 7 dy (18a* + 16e5)', find da Given y = %3D

A: It is given that,

Q: Find dx d'y , if x=t-r and y=t-t.

A:

Q: If y =x", d’y Find dx

A:

Q: Identify the secant: H/ BA C F O Line DF O Line HG O Line AH Line BH 7.

A: A secant is a line that intersects a curve at atleast two points. For a circle; if a line cuts the…

Q: Find dy. 37) y = 5~x +Z

A:

Q: Find if y = e*² · 6* %3D dx

A:

Q: dy If = (y – 4) sec? r and y (0) = 5, then y dx

A: Solution: The objective is to find the general solution to the given differential equation

Q: Calculate y in degrees. (Image 21] (2x - sy (3x - 25) (Sx+ 45)

A: (3x-25) +(5x+45) =180 8x + 20 =180  8x = 160  x = 20

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.