For the function f(x, y) = cos(3x +y) k 1 describe the level curve with value Select one: a. the origin b. a line of slope -3 c. infinitely many parallel lines of slope -3

Q: find an equation for the line in the xy-plane that is tangent to the curve at the point…

A: To find an equation for the line in the xy-plane that is tangent to the curve at the point t = 2…

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

A: Given curve is Firstly, we will find value of x and y at t=3pi/4

Q: 4. Find the length of the curve x = y/2 for 1<y<4. Since the function is given as x in terms of y,…

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Q: the line 3x+ y=l is the tangent line for the graph of y= f(x) at x=1, then f'(1)= 1 (C) 1 (D) 3 A) 3…

A: The slope of the line y=mx+c is m. The slope is equal to the derivative of y i.e., f'y=m

Q: The following figure shows a schematic of the graphs of f (x) and g (x) Knowing that f´ (C) = 0.737,…

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Q: For the function g(x) = sin(ax), find all points – 1 < c < 1 where the MVT shows g(1) – g(-1) =…

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Q: ) Find for the following functions (choose five only): dx 1. y = 2* + e2x-1 2. y = sec x tan x 3. y…

A: We can solve this as follows:

Q: For what values of a are the graphs of y = a* and y = 1 +x tangent at x = 0? Enter the exact answer.

A: Please see the explanation below

Q: Find the curve length of the given functions in the given interval

A: Find dx/dt and dy/dt using product rule.Then find (dx/dt)^2 and (dy/dt)^2.

Q: A pole of length L is carried horizontally around a corner where a 3-ft-wide hallway meets a…

A: Given: Pole of length (L): (x+(L-x))

Q: 2. For what values of the numbers a and b is the curve f(x) = eaz²+bx tangent to the line y = e at…

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Q: Find y' and the slope of the tangent line to the graph of (3x-2y)5 = 2y2-9 at the point (1,2). y'=0…

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Q: For the cone water tank given in the figure, the relation between the flow rate q(t) and the water…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the equation of the line that is tangent to the curve r = r In y, I> 0, at the point (1.e).

A:

Q: 1. In the open interval (0, T/2) , find the point where the slope of the curve is 4? y = tan x

A: Given function , y= tan x, we have to find at what point, slope of the the given graph is 4.…

Q: The line y = mx + 1 is a tangent to the curve y2 = 4x .Find the value of m

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Q: For a t-curve with df = 18, obtain the t-value and illustrate your results graphically. a. The…

A: The given results can be obtained by using MINITAB.a).Step-by-step procedure to obtain probability…

Q: For a t-curve with df = 21, find each t-value, and illustrate your results graphically. a. The…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: The volume of a right circular cylinder with radius r and height h is V = πr2h. Is the volume an…

A: Given: Volume of a  right circular cylinder =  πr2h  To determine: Is the volume an increasing or…

Q: The curve y = sin I has a slope of Select one: O a. at = O b. at z = 0 . O c. Never

A: The slope of a curve at a point is the slope of the tangent to the curve at that point. The slope of…

Q: The tangent lines which was drawn at points A and B on the following y = f(x) function graph are…

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Q: For x/y + 5x - 7 = (-3/4)y, (1,2), find the equation of the tangent line to the graph of the given…

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Q: Given = (1 + x -- k) dy da 13 What is the value of k such that y is perpendicular to the curve y =…

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Q: a. For f(x) =-, find an equation for the secant line through the points where x = 1 and x= 5. b. For…

A: Given data -  f(x) = 5/x we have to find - a. An equation for the secant line through the point…

Q: 5. Find the slope for f(x, y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: To find the slope for function f at point P in the direction of the line from M to N.

Q: 1. In the open interval (0, T1/2) , find the point where the slope of the curve is 4? y = tan x

A: Given the curve  y=tan x

Q: Sketch the graph of y = v4-x², - 2<x<2. a

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. 10)…

A:

Q: 5. Find the slope for f(x,y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: w For what values of x is the tangent line of the graph of f(x) = 6x' + 27x² – 71x – 54 - parallel…

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Q: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…

A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…

Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

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

A:

Q: Determine the length of the curve obtained from the graph of the function e +e=* f(r) = from r = -1…

A: We will find the length of the curve from the graph of the given function as shown below

Q: of the curve yln x + 5x² + y' =13 at the point (1,2) dx b) Find

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Q: Find an equation for the line tangent to the graph of f(x) = 7re %3D at the point (a, f(a)) for a =…

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Q: Q#1. Find the x-coordinate of the point on the graph of y =x² where the tangent line is parallel to…

A: The given curve is  y = x2 Secant line cuts the curve at x = - 1 and x = 2

Q: Let f(x)= sec(x), find the linear approximation at x= pi/4 and use it to estimate sec(pi/5)

A: Given function: fx=secx At x=π4 fπ4=secπ4=2

Q: 3) Find the slope of the curve defined by f (x) = x° sin x at x = T. 4) Differentiate g(x) = e* .

A: The slope of a curve y=f(x)  at a given point x=a is the value of dydx  at the given point x=a. So…

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

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Q: The curve y = sin'x has a slope of %3D Select one: a. at æ = ± O b. Never O c. at x = 0

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the function f given that the slope of the tangent line to the graph at any point (x, f(x)) is…

A: f'x=lnxx

Q: For what value of c is the curve y = c/(x + 1)tangent to the line through the points (0, 3) and (5,…

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Q: Find y' and the slope of the tangent line to the graph of (3x - 4y)7 = 2y2-7 at the point (3,2).…

A: The slope of equation is defined in terms of m=dy/dx

Q: 2. Consider the function y(x) = 5x² over the interval [0, 10]. (a) If the points A(0, y(0)), B(5,…

A: As per guidelines, we will solve first three subparts; Given function is yx=5x2  over the interval…

Q: The abscissa of the function y x^3 + bx ^2+ cx - 1 is x= 1 point is the inflection point. Since the…

A: Given that, The abscissa of the function y = x3 + bx2 + cx -1 is x = 1 point is the inflection…

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

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Q: 5. For the function g(x) = sin(x), find all points – 1<c <1 where the MVT shows g(1) – g(-1) =…

A: To find the value of c using the mean value theorem