Find the distance between the two values of x at which the function is discontinuous. x²- 3x + 2 2. (a) 3 (b)1 (c) 8 (d) 2 (e) 5 1.

Q: Find the point P on the graph of the function y = x closest to the point (2, 0) The x coordinate of…

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Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has an x-…

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Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Find the r value of the point on the curve y = 3x + 2 closest to the point (1,0). Evaluate /(-글 +…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Where does f(x)=x³-3x²+2x -7h have tangent lines that are parallel to y 2x-7? Selected Answers:

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Q: For the curve f(x) = 2-5x +4x², the slope of the tangent is -5 + 8a at the general point where x =…

A: This question is related to tangent to the curve, we will solve it using given information.

Q: Find an equation for the line tangent to the graph of f(x)=4xe square root of x at the point (a,f…

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Q: JA di is concave downward. Find the interval on which the curve x) - 6+ 8t

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Q: he slope of the line tangent to the curve y = x -8x3 + 22x2 - 24x +9 at x=1 is (a) -2 (b) 2 (c) 0…

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Q: The tangent to the function, f(x) = -2x² + 3 at the point (-1, 1) is the hypotenuse of right…

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Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: Q2: Find the points on the curve y 2x3 -3x2 -12x + 20 where the tangent is a. perpendicular to the…

A: Curve y = 2x3-3x2-12x+20 To find the points on the curve y where tangent is   Perpendicular to the…

Q: Create a 3-D plot of the function sin(/x² + y²) Vx² + y² for -8 <x5 8 and –8 < x < 8.

A: Note: Here, we are considering -8 ≤ x ≤ 8 and -8 ≤ y ≤ 8 rather than -8 ≤ x ≤ 8 and -8 ≤ x ≤ 8. We…

Q: f(x) = 3x² – 11z – 7; a = 2 The slope of the tangent to the curve at a = 2 is

A: Definition of derivative :The derivative of a function at a point f'(a)=limh→0f(a+h)-f(a)h

Q: S(r) = 2r2 +3r+2 What is the y-intercept of the tangent line that intersects the function at I= 2?

A: f(x)=2x2+3x+2

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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Q: 8. The line y = -4x + b is tangent to the curve f(x) = 2x² – 8x + 12. Determine the value of b. %3D

A: The equation of the tangent at a point h,k on a curve y=f(x) is given by, y-k=f'(h) (x-h)

Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

Q: O Find the equation of the line tangent to the graph of f(x) = 7x + 3x? – 4x - 8 a %3D

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Q: find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: The equation of tangent line passing through the point x1,y1 is y-y1=mx-x1, where m is slope. The…

Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: 2. Given f(x) = x³ – 7x? + 16x - 10 find the location of all horizontal tangent lines.

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Q: 0. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

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Q: f(x) = between x = 2 and x = 9 using the "midpoint rule" with two rectangles of equal width.

A: Given function, f(x)=1x  bounded between x=2 and x=9 The lower limit, a=2 and the upper limit, b=9…

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x-axis ? OA…

A: what is the slope of the line tangent to the curve x2+y2=1 and parallel to the x axis

Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

Q: The slope of the oblique asymptote to the curve f(x) = x +11 corresponds to

A: folllow the procedure given below.

Q: Find all possible oblique asymptotes

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

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Q: For what values of x does the graph of f(x) = 2a – 9a? – 60x – 3 have a horizontal tangent line?…

A: Given function is fx=2x3-9x2-60x-3. Compute the derivative. f'x=2x3-9x2-60x-3'=6x2-18x-60

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

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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: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root x…

A: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root…

Q: Find the x value of the point on the curve y = 3x + 2 closest to the point (1, 0).

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Q: The inflection point of the curve x3 y = V7 -x² + 10x + 97 2 6

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

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Q: 52² – 5y? lim (2.)(0,0) 7x2 + 7y

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Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

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Q: Let f(x) (2, 16). 5x3 52? 4. Find the equation of the line tangent to the graph of y = f(x) at the…

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Q: Find the point P on the graph of the function y= sqrt(x) closest to the point (6,0)The x coordinate…

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Q: f(x) = 3x³ – 9x² + *+3 Determine the equation of a line parallel to the tangent to f(x) at x = 4.

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Q: Q4: Find the distance from the origin point to the line x-2y-1 %3D

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Q: Find an equation of the secant line containing (1, f(1) and (2, f(2). 19) f(x) = x3

A: Given,         The equation of the secant line containing 1,f1 and 2,f2 and the line          is…

Q: Q4) f(x, y) = x'/3 – x/ay² is harmonic ? Does the function

A: our objective is to conclude result.

Q: ind the equation of the osculating circle at x=2 for y= 1/4x^2-x. Draw the circle

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Q: (b) Use the result of part (a) to find the direction in which the function f(x, y) = x³y - x²y4…

A: Given:

Q: a. Find an equation for the line perpendicular to the tangent to the curve y = x' - 9x + 4 at the…

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Q: Q2: Find the points on the curve y 2x3 -3x2 -12x + 20 where the tangent is a. perpendicular to the…

A: y=2x3-3x2-12x+20

Q: Q2)B/ Find the points on the curves y(X) given by y = x - 6x? + x+3 where the tangents are parallel…

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