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Q: find the slope of the function’s graph at the givenpoint. Then find an equation for the line tangent…

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Q: Look at the "mountaintop" in the image of on the graph below. -2 -12 How many tangent lines do you…

A: The given figure is a surface with function Z =f(x , y). First, determine the critical point. For…

Q: (a) Find the slope, m, of the tangent to the curve y = 2x at the point where x = a. m (b) Find…

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Q: Refer to the graph of y=f(x)=x2+x shown. ​a) Find the slope of the secant line joining (2, f(2)) and…

A: Please refer the attached image for complete solution.

Q: 3) Let (T) be the tangent to the curve (C) at a point of abscissa 1. a- Determine an equation of the…

A: 3 a) At x=1,  f(1)=13-3·11+4·1=1-3+4=2 So we have to find the tangent of (C) at (1,2).

Q: The point P(7, -4) lies on the curve y = 6- (a) If Q is the point find the slope of the secant line…

A: (a) The point P(7,-4) lies on the curve y = 46-xNow we know that slope of the Sacnt line be m =…

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

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Q: Let y = 1 + e-x* (a) Find an equation of the tangent line to the curve y at the point (0, 5). (b)…

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Q: a.find the slope of the line tangent to the graph of f at P. b. Determine an equation of the tangent…

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Q: Refer to the graph of y f(x) =x +x shown a) Find the slope of the secant line joining (1, 1(1)) and…

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Q: Find the equation of the line tangent to the given curve at x= a. Use a graphing utility to graph…

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Q: 1.0 1,0 F1 Calculate the slope of the secant line through the points on the graph where a = 1 and æ…

A: It is observed from the graph, the points on the curve where x=1 is the point (1,-1) and the point…

Q: At which point/s does the graph of y = r+9 have a horizontal tangent line? Write the point/s in the…

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Q: In the figure above, line L is tangent to the graph of y = at point P, with coordinates (w, ) ,…

A: We have the given function is y=1x2 Differentiating with respect to x we get dydx=-2x3 The slope of…

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: a) Choose the correct graph of the function. OA. Oc. b) Choose the correct graph of the tangent…

A: Given; fx=2x2-5x+3 Considering the given function we may determine that the given parabola is open…

Q: Let f(x)=2xex Find the equation of the tangent line to the graph at (1, 2e

A: Concept - used the formula for tangent line y-y1=m(x-x1)  Here m=dy/dx=slope

Q: Biologists have observed that the pulse rate P (in beats per minute) in animals is related to body…

A: Given :                  P = 200 m-14 ................(1)    From the graph, as the value of m is…

Q: 6) Find the tangent slope of the curve graph below. Make sure the tangent line passes through 2 or 3…

A: Given, the graph of the curve, we have to find the tangent slope of this curve.

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: A colony of bacteria starts with 2000 individuals. The colony is exposed to a new penicillin-type…

A: (a) The average rate of change of a function f over the interval  is given by fa-fbb-a. At t=20 and…

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: The point P(S, -2) lies on the curve y = 2/(4 - x). (a) If Q is the point (x, 2/(4 – x)), use your…

A: Given that, The equation of the curve is y=24-x Points are P5,-2, Q = x, 24-x By using the slope…

Q: 1. At which point on the graph of y = e" will there be a tangent line with slope m = 6? (a) at the…

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Q: (a) Draw a line tangent to the graph at point P. hundred hundred thousand thousand 60 50+ 50 40 40…

A: Estimate the slope of the tangent line.

Q: The point P(8, -4) lies on the curve y = (a) If Q is the point (x, ) find the slope of the secant…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: The curve -4x – 3y³ – 7x + 5y = 2 is shown in the graph below in blue. Use the graph below to draw…

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Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: (a) we have to find the slope of the tangent to the graph of f at P. f(x)=1x  ,…

Q: An object moves with velocity as given in the graph below (in ft/se How far did the object travel…

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Q: find the slope of the function’s graph at the givenpoint. Then find an equation for the line tangent…

A: ht=t3+3t,   1, 4 Differentiating with respect to t, we get h't=3t2+31=3t2+3 Now slope of the tangent…

Q: Let ?(?)=2?2−3?−8. The secant line through (2,?(2)) and (2+ℎ,?(2+ℎ)) has slope 2ℎ+5. Use this…

A: The equation of the curve given is

Q: Illustrate the line tangent to the following curves at the given points. Write your answers on a…

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Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch…

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Q: en that f(-1) = 5 and f'(-1) = 6, find an equation for the tangent line to the graph of y = f(x) at…

A: Given query is to find the equation of the tangent.

Q: (a) If G(x) = x² – 3x + 3, find G'(a) and use it to find equations of the tangent lines to the curve…

A: For (a), We are given G(x) = x2-3x+3. We need to find G’(a) and the tangent lines to the curve y =…

Q: in the figure, at each point A and B draw an approximate tangent line and then use it to answer the…

A: topic - tangent line

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch…

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Q: Find the equation of the tangent line to y = at the point (1, 16). + y = Use a calculator to graph…

A: This question is based on application of Derivative.

Q: Let f(æ) = 12a + 3 - 17e". Then the equation of the tangent line to the graph of f(x) at the point…

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Q: Find the indicated quantities for f(x) = 2x². (A) The slope of the secant line through the points…

A: note : According to our guidline i can solve only first 3 , please reroute remaining question.

Q: Find the point(s) at which the graph x2 + 5y2 - 100 = 0 has (a) Horizontal tangent line. (b)…

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Q: The accompanying graph shows curve XX' and tangents at points A, B, and C. Calculate the slope of…

A: The graph is as shown below :

Q: A tank holds 1000 gallons of water, which drains from the bottom of the tank in half hour. The…

A: (a) If P=(15,250) is on the graph of V(t), then the slope of secant line PQ for t=5,10,20,25,30 is:…

Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a…

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Q: A. Illustrate the line tangent to the following curves at the given points. Write your answers on a…

A: A diagram is given

Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch…

A: The equation of the function is f(x)=8x2+4. The standard equation of a line passing through a point…

Q: If the tangent line to the curve f(x)= x² + ar at (1, f(1)) is tangent to the curve g(z) = bz at…

A: tangent line's slope is given by the first derivative

Q: a. Find an equation of the line tangent to the given curve at a.b. Use a graphing utility to graph…

A: Since, you have asked multiple questions, we are answering the first question for you for now. If…

Q: pumt (0 ). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. y…

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