1. F(H) =73-23e 3+ Using increments of 2 hours for t, graph the formula.

Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

A:

Q: 34. Find the slope of the curve x^2 - 3xy y^2 - 4x + 2y + 1 = 0 at the point (1,-1 O 1/5 1/6 O 1/4 O…

A:

Q: 21. Find an equation of the tangent line to the graph of f(x) = x² - 2x at (a) (–2, 8); (b) (1, –1);…

A: fx=x2-2x

Q: 4) Find the equation, in slope-intercept form, of the tangent line to the graph of : y = Vx2 + 11 at…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Start with the graph of y = ln x. Find an equation of the graph thatresults from reflecting about…

A: If a function is reflected over the y=x line then (x,y) → (y,x) This means y=ln(x) will become…

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

A:

Q: 52. Find an equation of the tangent line to the graph of y = 4x/(1 + x²) at (a) (0,0); (b) (–1, –2).

A: Given- y=4x1+x2 To find- The equation of the tangent at the point a 0,0 and b=-1,-2. Identity Used-…

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

A:

Q: 3. Find the slope m of the tangent lines to the parabola y = -x+ 5x+ 6t its point of intersection…

A:

Q: Find one of the roots smaller than 5 of the following equation given below by la) using graph of the…

A: As 2 Questions are given , I will solve only one : We are given : a=3 Also,…

Q: Let P(t) be the population of a bacteria culture after t days and suppose that P(t) has the line y =…

A:

Q: 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes…

A:

Q: 1. Where does the graph of s= t² - 3t+2 have horizontal tangent? Write an equation for the tangent…

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: :-1 What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the point…

A: As per guidelines we have to solve the 1st one

Q: 9. If h(1) = 2 and h'(1) = 3, find an equation of the line tangent to the graph of h at x = 1.

A:

Q: he line tangent to the graph of y=In(3x)+ 2x e at x =1 6

A: Equation of line is given as   y-y0 = dydxat x=1*(x-x0) Given,x0 = 1y = ln(3x) + e2x6y0 = ln(3x0)…

Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

Q: Find an equation of the tangent line to the graph of Y = e2x-3 at the point (3/2,1).

A:

Q: 50 Find the length of the curve whose equation is given by r = e on 0 < 0 < 2T.

A:

Q: Start with the graph of y = ln x. Find an equation of the graph thatresults from horizontal…

A: Graph of y = lnx

Q: Here I need to find the equation of the line tangent to the graph of h(t)= (t^3)/((t^2)-1) at t =…

A: Consider the given function: h(t)=t3t2-1h(-1)=-13-12-1=Not Defined So the point where tangent is…

Q: Start with the graph of y = ln x. Find an equation of the graph thatresults from vertical stretching…

A: Start with the graph of y = ln x.

Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

A:

Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

A:

Q: 2) Find the equation of the curve whose slope at any point p(x,y) is m =x (x +5)² and passing…

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Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the…

A:

Q: – 80 Find the length of the curve whose equation is given by r = e" on 0 < 0 < 27.

A: We have to find the length of the curve

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

A:

Q: Find the value of 'a' for which the tangent to th ƒ(x) = (a + 2) x³ − 3ax² + 9ax - 1 never makes an…

A:

Q: If f(x) = 2x2 – 2x + 4, find f'(– 4). 2x + 4 at the point (– 4, 44). Use this to find the equation…

A:

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

Q: 4. Refer to the equationf(x) =acos 27 (+c) + dto answer the the question. Changing the…

A: y=acos(2πb(x+c))+dhere a →amplituded → vertical displacement

Q: find equation of both the tangent lines to the elipse x^2+4y^2=36 that pass through the point(12,3)

A:

Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…

A:

Q: 9. Find the points on the graph y = х-2 7x - where the slope of the tangent line is parallel to 28х…

A: Given-  Consider the graph y=7xx-2. To Find- The points on the above graph , where the slope of the…

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: 13) Find an equation of the tangent line to the 22 – 4 2a + 5 at the point (0, graph of y =

A:

Q: Find an equation of the tangent line to the graph of y=e^-8x at the point (5,e^-40)

A: To find an equation of the tangent line to the graph of y=e-8x at the point (5,e-40).

Q: The equation of the tangent to the curve y = x – 3x² – 2x + 2 at the point where the curve cuts the…

A: We have to find  the equation of tangent in the form of y=mx+c.

Q: The equation of the tangent line to the graph of the function y = 7* – 4e² at a - O is

A:

Q: 4x Find the equation of the line tangent to y = e at x =- In 5.

A: Problem related to application of derivative

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 a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

A:

Q: Q5: Find an equation of the tangent line to the graph of f at (1, 32): y = x (x + 1)5

A: The slope of tangent at any point on the curve is given by the value of derivative of that function…

Q: i. Find the equation of the tangent to the graph of g at (4, 2).

A:

Q: 9. If h(1) = 2 and h′(1) = 3, find an equation of the line tangent tothe graph of h at x = 1.

A: We know that for a function hx, the slope of function is represented by h'x. Now, slope m of the…

Q: 2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point…

A: We know that a line which touches the curve fx at one and only one point is called a tangent line.…

Q: Does the graph of S0, x< 0 U(x) = 1, x2 0 have a vertical tangent line at the point (0, 1)? your…

A:

Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = 0 and B'(24) = -…

A: Given,         y=Bx at x=24 if B24=0 and B'24=-14.