Find equations of the following. 2(x – 7)2 + (y – 5)² + (z – 6)² = 10, (8, 7, 8) %3D - (a) the tangent plane (b) the normal line (x(t), y(t), z(t)) %D

Q: y′=y,y(0)=1

A: Use dy/dx in place of y'Then separate the variables.

Q: If y = Vx(3 – x)², show that- dy (3-х) (3-4x) Find the x coordinates of %3D dx all points on y =…

A:

Q: g(x)dx = (5x? +2)° +C

A:

Q: Could you help me solve and understand d-f?

A: d.The required value is calculated as follows:

Q: Find D,y using the rules for finding derivatives. y= (sx² -2) (4x- 3x +8) Day= !!

A:

Q: b) - a +b-c+d = 0 – 2a + b+c-3d = 0 a + 2b - 3c + d = 0 2a + 3b +4c- d 0

A: Let us considre the system of matrix Ax=b Using Cramer's rule, the solution of the system of…

Q: find the indicated quantities for the function y = f(x) = 3x². The slope of the secant line through…

A:

Q: (D²-3D-2)y = 0 Find y when x = In 2 when x=0, y'= 9, Y=0, y=0 4.

A:

Q: O Find (a) |VT-x)/x dx, (c) (4-x*y² dx. Ans, ía) 1/60, (/) x/2. (c) 31

A:

Q: D. (a)S sec? 3x dx (b)S 2cosec2 4t dt 2cosec24t dt

A:

Q: dy + (ax – 7)y = bx° dx %3D - a = 2 andb = 1 dy + (2x - 7)y dx = x² 6.

A:

Q: (x3 – y) dx + xdy = 0, y(1) = 3

A: First we will rearrange the terms of the differential equation and classify it then we will find its…

Q: (10) The position function for a particle's motion on a line is s(t) = t³-t²-t + 1, t≥ 0. s is in…

A:

Q: Find the equation of the line tangent to fƒ(æ) = e² (x² + 3x) at the point (–2, –2e¯²). O y = -3e-2…

A:

Q: Pdx + dy = 0, y(-1) = 2. (y 2) dy = 0, y(-1) = 2. ry2

A:

Q: d y Find dx? |(-1,2) if x² + y' = 9

A:

Q: (x² + 2)² Find the dy/dx: Given y =

A: Find the dy/dx

Q: y′ = t2 + y2

A:

Q: d (coth x)= dx

A:

Q: (3x+2 (4x-3) 7 The mWX degrees %D ingrese su respuesta.

A: Solution: The objective is to find the measure of the required angle

Q: x4+6y5 find fy. fy f-4,-4), and f,(1,-1 For the function f(x,y) =

A: The given function is,