The equation y = xy can be classified as FOLDE and Bernoulli’s equation. True False

Q: Write the equation of the tangent line to the graph exy + cos v = + COS at He %3D point (-0.3, 2.12)

A:

Q: If 3y-5x = 7, then at (-1,2) is dx %3D

A: This problem can be solved by differentiating the given implicit equation w. r. t x and then finding…

Q: The tangent line equation of 2x6+y4=9xy at the point (1, 2) is ….

A: The tangent line equation of 2x6+y4=9xy

Q: Find equations of both lines through the point (2, –3) that are tangent to the parabola y = x2 + x.

A:

Q: Sdulion for di fferential equation dy 7X-2y is

A: We have to solve the differential equation…

Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

A:

Q: The slope of the tangent line to the parabola y = 2x + 2x + 6 at the point (- 1, 6) is: The equation…

A: The slope of the tangent line to the parabola                      y = 2x2 + 2x + 6 at the point…

Q: Parallel to x + 2y = 0; (1, 2) on line

A: To find the equation of line paralley to x+2y=0 and (1,2) is on the required line.

Q: Find an equation of the curve that passes through the point (0, -7) and whose slope at the point 2x…

A: we have to find the equation of the curve

Q: Find the equation of the curve that passes through the point (3,6) if its slope is given by dy = 6x…

A: Note: As per company policy we are supposed to solve only one question. So, kindly re-post the other…

Q: Find the parabola with equation y = ax2 + bx whose tangent line at (1, –1) has equation y = 3x – 4.…

A:

Q: ,4 Consider the curve whose equation is x4 + y* + 3xy = 5. The dy slope of the tangeant line, at the…

A:

Q: Find an equation of the tangent line to the parabola y=x2+x such that it passes through the point…

A:

Q: Find the equation of the curve that passes through the point (8, 8) if its slope given by dy 3D 7х —…

A:

Q: Find equations of both lines through the point (5, –6) that are tangent to the parabola y = x2 – 3x

A: topic - equation of tangent to curve

Q: write an equation for the tangent line at the given point x² + y² = 4, (/2,/2)

A: Given: An equation x2+y2=4 and point 2,2 Firstly, find the gradient of x2+y2=4 by the formula…

Q: The slope of the tangent line to the parabola y = 2x“ + 2x + 6 at the point (1, 10) is: The equation…

A: Given,            The parabola is y=2x2+2x+6 and the point is 1,10.

Q: ) Find the equation of the line normal to the curve x'y+ y'x = 10 at point (1,2).

A: Slope of a normal to the function y=f(x) at point m,n is given by the value of -dxdy at m,n Equation…

Q: Find an equation of the tangent line at the point indicated. x3y + y3x = 10; (1,2)

A: Given query is to find the equation of the tangent line at (1,2).

Q: Find the equation of the tangent line to the curve y = 2 In (22 at the point (1, 2) . (Hint:…

A:

Q: the equation of the tangent line to the curve at the given point. y = x² In ¤; (e, e²) :The result…

A: We can find the answer as below.

Q: Find equations of both lines through the point (2, −3) that are tangent to the parabola y = x2 + x.

A:

Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy = 5x…

A: Given that, the curve passes through the point 8,6 and the slope is given by dydx=5x-7

Q: +y = e=* sin x

A:

Q: what is the equation of the tangent line to the graph of xsin(xy) = (√2)/2 at the point (1, pi/4)

A: iven:xsin(xy)=12

Q: Determine an equation of the tangent line to y= (e3x+2)5 at the point (0 , 243) then solve it for y.

A: We have to find the value of y.

Q: Find an equation of the tangent plane to the graph y = x² + 2xz at (1,3, 1). (Possible Answer: 4r –…

A: We have to find an equation of the tangent plane to the graph y=x2+2xz at 1,3,1.

Q: If f(2) = 3 andf'(2)=-1, find the equation of the tangent line when x = 2 %3D %3D %3D

A:

Q: Find the homogenous linear equation with real, constant coefficients that is satisfied by:…

A: Given that  Required differential equation is satisfied by   y= 6 + 3xe^x - cos x

Q: The slope of the tangent line to the parabola y 4x? + 7x + 3 at the point (0, 3) is: The equation of…

A:

Q: The slope of the tangent line to the parabola y 3x? + 2x + 3 at the point (– 5, 68) is: The equation…

A:

Q: The slope of the tangent line to the curve y 3 at the point 9, is: 3 The equation of this tangent…

A:

Q: What are the values of m and c if the equation of the tangent line is given by y = mx+ c?

A:

Q: Find the equations of the tangent lines to the graph of x2(x2 +y?) = y2 when x =

A:

Q: . Find the equations of both lines that pass through the point (2, –3) and are tangent to the…

A:

Q: Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: At (8,4) the value of C will be: 4=5(8)22-4(8)+C4=160-32+CC=-124 So the equation will be…

Q: Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: Using variable separable form of Differential equation.

Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

Q: Solve to Find if cscx – San () dt = 4 – y?

A:

Q: Find the equation of the tangent line to y = 2**-3*+1 at x = 4. y =

A: Given: y=2x2-5x+1 To find: The equation of the tangent line to y=2x2-5x+1 at x=4

Q: Find the equation of the line tangent to xe' + ye = 1 at the point (0, 1).

A:

Q: Find equations of the tangents to the curve x = 3t 2 + 1 y  =2t 3 + 1 that pass through the point…

A: The given equations of curve are Solving equations (1) and (2) by substituting the values of t from…

Q: Solve the given equation by using the variation of parameter. y" + y= sec² (x). %3D

A: The given non-homogeneous differential equation is y''+y=sec2x. The corresponding homogeneous…

Q: y = In(x + 3)4

A: As u mentioned to solve 2nd equation, the solution of the same is attached in next step.

Q: 17. The line with equation y = 2x b where bis a constant, passes through the point (3, 6). What is…

A: When a line passes through a point then the coordinate  values of the point must satisfy the…

Q: The slope of the tangent line to the parabola y=2x^2+2x+7 at the point where x=4 is: slope =…

A: The equation of the parabola is y=2x2+2x+7

Q: 24. y = e-, y = 0, x = 0, x= 1

A:

Q: Find the equation of the line tangent to y = sin(x) going through 4

A: Given, y=sinx                 ...(1) At x=π4 Put x=π4 in equation (1) y=sinπ4y=22 Thus, the pointπ4,…

Q: S(1 + sec ax)²dx is equal to

A: ∫1+secπx2 dx

Q: Find an equation of the tangent line at the given point.

A: We find dy/dx at (2,4)