d the.r-intercepts by solving the equation p(x) = 0 and the y-intercept by finding p(0). e stationary points are found by solving the equation p'(x) = 0 and the inflection points are found by solving the equation (x) = 0.

Q: Find the equation of the curve that passes through (0, 9) if its slope is given by dy/dx = 12x^2 −…

A: We can find the equation of the curve by integrating the given derivative and substitute the point…

Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: An insect is in a toxic environment. The level of toxicity is given by T(x,y)= 2x* – 4y° If the…

A: Tx=0⇒x=0Ty=0⇒y=0Using D-TestD=TxxTyy-[Txy2]D=0 at (0,0)   T(x,y) is minimum

Q: Q3:-Find the equation of the line tangent to the curve the point (-1,2) (y = 2x?) at

A:

Q: Suppose a cheetah is dashing due north at a rate of 30 m/s toward a popular watering hole, and a…

A: We need to find x(t),y(t),r(t) in the above question.

Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

A:

Q: Q5. Transfer the Cauchy-Euler equation to a constant coefficient equation and find the general…

A: Given x2d2ydx2+3xdydx-2y=x2sinlnx

Q: ind the equation of the line tangent to the curve 3x² + 16y² = 192 at the point Mx + K. P= (-4, 3)…

A:

Q: 4. Find y'(x) for x²y² – 2x = 4 – 4y. Then find the equation of the tangent line at (2, –2 _n…

A:

Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: 5 Find the equation of line tangent to the curve y= X+- at point P(1,3) А) 4x +у-7- 0 B None of the…

A:

Q: It is given to you that na equation of the tangent line to the graph of y=g(x) at x = 25 is…

A: Given that at x=25, 2x+12y=-34 is a tangent. for x=25, 2(25)+12y=-3450+12y=-3412y=-84y=-7This means…

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given,          x=t2-4 , y=t3+6t , t=3To find: The equation of the tangent line.We know that,…

Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

Q: Find an equation of the line tangent to the given curve at a. y = x3 – 4x2 + 2x – 1; a = 2

A: Slope m of the tangent will be given by dydx Therefore, dydx=ddxx3-4x2+2x-1 ⇒dydx=3x2-8x+x…

Q: 2) Consider the curve defined by -8x² + 5xy + y³ = -149 dy a) Find dx b) Write an equation for the…

A: solution is given below

Q: (d) the equation of the line tangent to the curve at the point where (i) t =, and (ii) t = . = 17

A: We have x = 4sint,  and y = cost

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A:

Q: Given the Curve x+xy +2y² = 6 %D Write equation for the line tangent to the curve an at the point…

A: Given,         The curve is x+xy+2y2=6 ; an equation for the line tangent to the curve at the…

Q: c. Find the equation of the tangent line to the curve x-t²-2t, y3t²+2t at the point t=2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 4 is 6x + 8y…

A:

Q: nd the equation of a curve whose slope at any point is equa d which passes through the point ( 2,9…

A:

Q: Find the equation of the line tangent to the graph of x3 + y3 = -5xy + 7 at (1,1).  The equation of…

A:

Q: find the equation of the line tangent to the curve y=x^4-4x^3+2x^2-4x+15 and perpendicular to the…

A: To find the line tangent of the curve we have to differentiate with respect to x. If first-line…

Q: Given (x³ + y² + 7)* = 4x + 3y + 9, (a) find y', (b) find the equation of the tangent line at…

A:

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 9 is 7x +…

A: 7x+12y=-21 is the tangent to the graph of y=g(x) So, at x=9 the y value of the tangent will give…

Q: 1 Find the equation of the line tangent to y = e 4X at x = - In 3. 4 The equation of the line…

A: We have to find the equation of tangent.

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A:

Q: Find an equation of the tangent line to the curve

A:

Q: Find the equation of the straight line described below. At right angles to y = e* at the point where…

A:

Q: Ах — 3— 1 Find an equation of the line tangent to the curve y = and perpendicular to the line r + 2y…

A: We have to find equation of tangent line .

Q: Find the equation of line tangent to the curve y= x+ - at point P(1,3) A 4x + y - 7 = 0 В) 4х - у -7…

A:

Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and…

A:

Q: c. Find the equations of the line tangent to the curve y = x³ + x, where the slope is equal to 4.

A:

Q: Q5: Does any tangent to the curve y = vx cross the x-axis at x=-1 If so, find an equation for the…

A: To find: The equation of tangent to the curve y=x if possible. Given: The equation of the curve y=x.…

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…

Q: 7x Find the points on the graph y = x-2 - where the slope of the tangent line is parallel 28x +50y –…

A:

Q: 20. Find the equation of the curve for which y" =x, and which passes through the point (1, 2) and…

A:

Q: 16. The slope of the tangent line at any point (x, y) on the curve is 3x2 - 2x +7. What is the…

A:

Q: At which point(s) does the graph of  y= e((x3-2x2+3x)/(x)) have a horizontal tangent line?

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: By using slope formula and equation of tangent line, we find the required equation of tangent line.

Q: Find the equation of the line tangent to the graph of x° + y° = - 2xy + 7 at (3, – 2). | The…

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: use property of chain rule to find the slope and equation of tangent line

Q: h(x) * |4x + 1 %3D a) Find the equation of the line tangent to the graph of fx) at x = 2.

A: 8). Given function is hx=4x+1. To find: (a). The equation of the line tangent to the graph of fx at…

Q: 2- find dy/dx ex = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x - 2x?,…

A: 2. Given function is: e2x=sinx+4y Differentiating with respect to x we get,…

Q: Find an equation of the line tangent to x = t^2 −1, y = t^3 +t at the point corresponding to t = 2.

A:

Q: p) Find the equation of the line tangent to the curve x² + y² = 25 at (3,4) %3D

A:

Q: Find the equation of the line tangent to the graph of 2 + y* = - 2xy + 13 at ( – 3, 4). The equation…

A: