O Find The Slope og xy=8 at The point (a,2) O a O - 1 O a O d O c O b

Q: 3) approximate the slope of the graph of f (z) = r at the point (1, 1). y 4 3 (1, 1) 2. 4 3 2.

A: The slope of a graph tells that by how much the value of y changes when the value of x changes by 1…

Q: What is the value of x on the function y = arcsec(x) whose slope is A) ±1.272 B) ±1.321 C) ±1.414 D)…

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Q: Suppose that f(2 + h) – f(2) = 3h² + 5h. Calculate: (a) The slope of the secant line through (2,…

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Q: n(t) 2t2 -7 at the point t 3 is 11. || The slope of the line tangent to True False

A: nt =2t2-7 Or, n't=4t Formula Let, y=f(x) be the curve then the slope of the tangent of the curve…

Q: Let  f(x)=1/2x^2-1.  Find the slope  of the secant line that contains points P=(2,f(2)) and…

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Q: In the above graph of y = f( x ), find the slope of the secant line through the points (-1, f( -1) )…

A: Given co-ordinate of secant line are p-1,f-1 and Q 1,f1  from graph f-1=-2                      f…

Q: Which of the following curves has a slope of 3 when x = 2? Oy=3e Ο y = " – 2inn Oy-r²-1 0y=³²-2

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Q: 8. Given the relation x² – xy +y³ = 7, determine the slope of the line tangent to the curve at…

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Q: Differentiate implicitly to find the slope of the curve at the given point. y + yx? +x? - 3y? = 0;…

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Q: Q3) Determine slope of a curve y = x + 2 at p(1,3) and q(3,11)

A: Slope of a curve : The slope of a curve y=f(x) at a point P is the slope of the tangent at that…

Q: (3x-y)= Gx + 2y + 23 V Find the slope af the curve at the pont where x= 1.

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Q: What is the slope of the tangent line to f (x) = 2" +1 at x = 2? O a) 1.5 O b) 3.2 c) 5.1 d) 2.8

A: Solution

Q: Find the slope of the secant line through (2, f (2)) and (2.5, f(2.5)). Is it greater than or less…

A: From the given graph we have: f(2) = 2 f(2.5) = 2.5 The given points are: (2, f(2))  and (2.5,…

Q: Find the coordinates of the point(s) at which the line tangent to the graph of the function f (z)…

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Q: Find the slope of the tangent to the curve f(x)=Jx - at (1,– 2). а. 5.5 b. 12.5 С. 13.5 d. 10.5

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Q: D. FIND THE SLOPE AT TGE POINTS INDICATED y= x2 – 5x + 4 1. @ (1,0) 2. у 3 @ (2, %) (x²+ 4)

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Q: (x+y)^(1/2) + (2xy)^(1/2)=7 at the point (1,8)   slope

A: Given: The expression x+y12+2xy12=7 and the point 1,8 To find: Slope of tangent line to the given…

Q: For the curve f(x)3x + x, find the slope of Mpo of the secant line through the points P= (1, f(1))…

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Q: Use the equation mPQ = f(x1+h)-f(x1)/h to calculate the slope of a line tangent to the curve of the…

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Q: The line y = 2x + b is tangent to the graph of y = 1x at the point P = (a, 1a). Find P and determine…

A: Given: The line y=2x+b is tangent to the graph of y=x at the point Pa,a. To find P and determine b.…

Q: Differentiate implicitly to find the slope of the curve at the given point. y³ + yx2 + x² - 3y2 = 0;…

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Q: 20. What is the instantaneous slope of y at x = 2? %3D -1 1 112

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Q: The slope of the curve f(x) =. - at x =1 is O a. 1 Ob. 13 3 -17 O d. 3 3. 1/3

A: Differentiate wrt x at given value

Q: Find the slope in the x-direction at the point P(0, 2, f(0, 2)) on the graph of f when f (x, y) 3(y?…

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Q: Given x=t+1 and y=t2, find the slope of the associated graph at the point (2,1)

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Q: Let f(x) = x² – 8x. (A) Find the slope of the secant line joining (2, f (2)) and (7, f(7)). Slope of…

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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: f(r) = 2r2 +3r + 2 %3D What is the slope of the tangent line at r = 2?

A: fx=2x2+3x+2; x=2 Differentiate the above function with respect to x. f'x=ddx2x2+3x+2=4x+3

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: Find fy(1, 0) and f,(1, 0) and interpret these numbers as slopes for the following equation. f(x, у)…

A: We partial derivative for this Question

Q: Suppose f(x) = (x² + 1) · g(x), where g(æ) = mx + b. Find the slope, m, of g if f(0) = 3 and f' (1)…

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

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Q: Find the slope of the curve at the given point 4y^7+7x^9=5y+6x at (1,1)

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Q: ) ay The Jine tangant Find -he slope to The curve y=l-ax+ 1 at x= 1 (a) 1 O b O a O d

A: Slope of a tangent line is derivative of function at that point.

Q: For the curve7(x) =x + x, find the slope of Mpo of the secant line through the points P= (1, f(1))…

A: Given curve is We know that slope of secant line joining points P(1,f(1)) and Q(4,f(4)) is

Q: Let f(x) =4x divided by x -3. Find the slope of the secant lines on the graph of F through P(5, 10)…

A: f(x)=4x/(x-3) P(5,10) and Q (6, a)  (say) a= f(6)= 24/3 =8  Q(6,8) is

Q: Find the slope of the graph of y : r (t) = (2t² +1, 3t – 1) at t=1.1. Your answer has to be numeric,…

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Q: In the open interval (0, T1/2) , find the point where the slope of the curve is 4? y = 3x* – 8x +…

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Q: Substitute c = 2 in the formula for slope as follows. %3D + Ax) - g ( lim Ax- 0 m = Ax

A: We have to substitute in the slope formula.

Q: Differentiate implicitly to find the slope of the curve at the given point yA + x3 = y? + 12x; (0,…

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Q: Find the slope of the curve at the given point.   9y^9+4x^7=7y+6x at ​ (1,1)

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Q: Find the slope of the line.  Rx + Sy=T

A: To find the slope of the line.

Q: 49. Find the slope of the curve y = (2x2 - x+ 3)(x + x+1) at (1, 12).

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Q: Find f(1, 0) and f/1, 0) and interpret these numbers as slopes for the following equation. f(x, y) =…

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Q: O Find the equation of tne curuve at cvery point that passes through the point C0-1) and which the…

A: The equation of the curve which passes through point (0, -1) and which the normal line at point (x,…

Q: Find f(1, 0) and f(1, 0) and interpret these numbers as slopes for the following equation (x, y) =…

A: We need to find fx1,0 and fy1,0

Q: Let f (x) = Vx. Find the slope m and the point-slope equation of the line tangent to the graph of f…

A: Consider the given function fx=x Suppose m be the slope of the line tangent to the graph of the…

Q: Find fy(1, 0) and f,(1, 0) and interpret these numbers as slopes for the following equation. f(x, y)…

A: Given that          f(x, y) = √(4 - x2 - 7y2) We have to find fx(1,0) and fy(1,0)