(b) Given that = 3 in steps of 0.2, given that y = 4 at r = 2. dy = x+Vy. Use Euler's Modified Method to find an approximate y when da

Q: m Find the equation of the tang ent to the curve ym =1 at the point (x1.y1). m

A: Topic:- application of derivatives

Q: Given that dy =0 dx when x=2 for the curve y=x³ - 2x2– 4x d?y and hence find which of the following…

A: We have to find the solution.

Q: Find the points on the graph of y = x2 + 3x − 7 at which the slope of the tangent line is equal to…

A:

Q: Show that the slope dy/dx is defined at every point on the graph of 2y = x² + sin y.

A: Given- 2y=x2+sinx To prove- That the slope dydx is defined at every point on the graph of the above…

Q: If f(x) = 4x? 6x + 7, find f'(– 2). - Use this to find the equation of the tangent line to the…

A: AnswerGiven f(x)=4x2-6x+7f'(x)=ddx(f(x))wktddx(xn)=nxn-1f'(x)=ddx(4x2-6x+7)f'(x)=8x-6at…

Q: Use a computer algebra system to plot y2 = x 3 - 4x for x and y between -4 and 4. Show that if dx /…

A: y2=x3-4x

Q: Find the length (in units) of the curve y =    16 − x2between x = 0 and x = 2.

A:

Q: Find y in terms of x. dy = x 2 + 5, curve passes through (0, 14) dx x3 A) y = + 5x 3 B y = x3 + 5x +…

A:

Q: ind the y component for the following equation assuming that there are proper units on the…

A: Given the equation Fx,y,z=66xyz+31xsin44y. To find the y-component, we substitute x=0 and z=0.

Q: d two coordinate points at which the tangent line to the curve given by x² – 2x + 4y² = 15 is…

A: if the tangent is vertical then dydx will be ∞x2-2x+4y2=15differentiate 2x-2+8ydydx=04ydydx=1-xsince…

Q: Find the equation of the tangent line for the following: (a) y = √√√3x + √√2+√1-x at x = 3. (b) y =…

A:

Q: A bead slides down the curve xy = 10. Find the bead’s horizontal velocity at time t = 2 s if its…

A:

Q: Given that x² + y? = (2x² + 2y² – x²)? Find an equation of tangent line to the curve at point (0,…

A: The formula to differentiate the product of two functions, f(x) and g(x) with a common variable is…