A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes. t (min) 5 10 | 15 20 25 30 V (gal) 690 434 255 114 25 0 (a) If P is the point (15, 255) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with the following values. (Round your answers to one decimal place.) slope (5, 690) -46.5 (10, 434) -41.8 (20, 114) -22.2 (25, 25) -20 (30, 0) -15 (b) Estimate the slope of the tangent line at P by averaging the slopes of two adjacent secant lines. (Round your answer to one decimal place.) -32 X X X XX

Q: Refer to the graph of y = f(x) = x² + x shown. a) Find the slope of the secant line joining (-4,…

A:

Q: Which points on the curve of x^2-xy-y^2=5 have vertical tangent lines? A. (1,-2) B. (2,-1) and…

A: I have used the fact that slope of vertical tangent line is infinity

Q: 2) estimate the slope of the tangent line at P by averaging the slopes of two secant lines

A: Calculation:

Q: 15) f Cx)=x?=2x a) slope secant hine 3,f (3)) and (q, f c9) b) secant line (s,fcs) and (sth, f (S+h)…

A: The given function is f(x)=x2-2x Note:   Multiple subparts are given, we are answered with first…

Q: Refer to the graph of y = f(x) = x² + x shown. a) Find the slope of the secant line joining (-4,…

A: Given:    f(x) = x2 + x

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: Consider the function y=x³ - 9x + 4. a. Sketch the graph of y= x³ – 9x + 4. b. Find and describe the…

A:

Q: Let f(x) = x² + 6x. (A) Find the slope of the secant line joining (-4, f(-4)) and (–3, f(-3)). Slope…

A: The slope of a secant line joining (a,f(a)), (b,f(b)) is  m=f(b)-f(a)b-a Slope of tangent line of…

Q: Let f(x) 3D х? — бх. (A) Find the slope of the secant line joining (2, f(2)) and (9, f(9)). Slope of…

A:

Q: Refer to the graph of y = f(x) = x? + x shown. a) Find the slope of the secant line joining (- 4, f(…

A: NOTE: Refresh your page if you can't see any equations. . take x=-4 . take x=-2

Q: f(u) is the velocity in meters per hour a car is traveling at u hours. Which of the following does…

A:

Q: The point P(7, 1) lies on the curve y = Vx - 6. (a) If Q is the point (x, Vx - 6), use your…

A:

Q: The eight curve Find the slopes of the curve y = y - x at the two points shown here. 3 V3 y4 = y? –…

A: Slope of the curve is the derivative of the curve at the given point. So differentiating given curve…

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…

A:

Q: The point P(5, −4) lies on the curve y = 4/(4 − x). (a) If Q is the point (x, 4/(4 − x)), use your…

A: Given that a curve and points P & Q:We need to find the slope of secant line PQ.

Q: tank holds 5000 gallons of water, which drains from the bottom of the tank in half an hour. The…

A: Given query is to find the slopes at different given points.

Q: A tank holds 1,000 gallons of water, which drains from the bottom of the tank in half an hour. The…

A: NOTE:- According to our company guidelines we are supposed to answer only first question if multiple…

Q: 4) The values that U takes depends on the values that are taken by C and P. Specifically, U(C,P)=CX…

A:

Q: The point P(6, –4) lies on the curve y = 4/(5 – x). (a) If Q is the point (x, 4/(5 – x)), use your…

A:

Q: t (min) 5 10 15 20 25 30 V (gal) 694 444 250 111 28 0   A. If P is the point (15,…

A:

Q: Consider the curve defined by x? + xy + y? = 27 a. Write an expression for the slope of the curve at…

A: The slope of the tangent is the dy/dx at the given point.

Q: 1. A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The…

A:

Q: where x is the nu The slope of the r

A: According to the scenario, A researcher wishes to examine the relationship between years of…

Q: 14. Find the value of x in the figure below. Assume lines that look like tangents are tanger TP -30…

A:

Q: Consider the curve x23 +y/3 =4. Let L be the tangent line to this curve at the point (1, 3/3), and…

A:

Q: Let f(z) = and g(z) = I - 2x + 5. There is one line with positive slope that is tangent to both of…

A: Consider the given: Let x1,y1 and x2,y2 be the point on fx and gx respectively.Now, slope of tangent…

Q: The line y=x+k is tangent to the graph of y = x²-2. Find the value of k. 17 (C) 16 33 15 (A) 16 31…

A:

Q: 17. Find the value of x in the figure below. Assume lines that look like tangents are tangent. TP…

A: Solution is given below:

Q: A tank holds 3,000 gallons of water, which drains from the bottom of the tank in half an hour. The…

A: Solution:

Q: Let f(x) = a? - 4x. %3D (A) Find the slope of the secant line joining (1, f(1)) and (7, f(7)). Slope…

A: Given function We need to find the slope of the secant line joining We need to find f(1) and f(7)…

Q: A Moving to another question will save this response. uestion 4 What is the slope of the line…

A: Explained below

Q: Constructa scatter plot. Find the slope-intercept formof the equation of the Ine that best fits the…

A: Given data is Time (x) Velocity (y) 1 10 4 20 8 30 9 40 10 50

Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

A:

Q: A tank holds 3000 gallons of water, which drains from the bottom of the tank in half an hour. The…

A:

Q: The point, P(8, −3), lies on the curve y = 3/(7 − x). (a) If Q is the point, (x, 3/(7 − x)), use…

A: Since multiple subparts are there, we will solve the first 3 only. To get the solutions for the rest…

Q: త Find the value(s) of x for which the slope of the curve y = f(x) is 0. 8x2 (X)) 2+1 Ox=-8 No new…

A: Yyy

Q: where the slopes of H the curve re2+1 are h

A: Introduction: Let us suppose that y=f(x) is a curve, then the points where the slope of the tangent…

Q: f(a + h) – f(a) 3. Find a and h such that is equal to the slope of the secant line between (3, f(3))…

A: Slope of the secant line is,

Q: A tank holds 2000 gallons of water, which drains from the bottom of the tank in half an hour. The…

A: A tank holds 2000 gallons of water, which drains from the bottom of the tank in half-hour. t(min)…

Q: A tank holds 5000 gallons of water, which drains from the bottom of the tank in half an hour. The…

A: Slope of line

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

A:

Q: -5 -3 -2 -1 =1 -2 =D3 -4 -5- of In the above graph of y = f( x ), find the slope of the secant line…

A:

Q: 3) use a graph of the function to estimate the slope of the tangent line at P. (This slope…

A: Draw a graph by plotting the points (5, 694), (10, 444), (15, 250), (20, 111), (25, 28) and (30, 0).…

Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

A:

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 P(5,-2) lies in the curve y=24-x

Q: ints] DETAILS OSINTERALG1 3.1.009. h the linear equation y x + 3 by plotting points. 10 8 7. 6 5.…

A:

Q: Considev the curve given by C= CU Cz U C U Cq C : y = x +2 The value of Sa rida+xydy 1s? C4 49 A) 12…

A:

Q: (b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line…

A:

Q: The inflection point of the curve V3 x² + 5x + 6 6. V5 V3 V7 None 2]

A: We will solve the following.

Q: y = 1/(1 – x). 3. The point P(2, – 1) lies on the curve (a) If Q is the point (x, 1/(1 – x)), use…

A: