A reservoir stores 1100 gallons of liquid, which drains from the bottom of the reservolr ih every 30 minutes. The table below shows the values of the volume V of liquid remaining in the reservoir after time t minutes. Determine the slope of the tangent line at y(20, 111) y(20, 111) and explain what the obtained slope represents. ZZ t (minutes) 10 15 20 30 V (gallons) 694 444 250 111 28 N 5Co N IN N

Q: Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your…

A: We have to tell the slope of the tangents through the graphs. So, for that, we will differentiate…

Q: Find the gradient of the tangent line to y when x = 2.

A:

Q: What is the value of the slope of the tangent line to the curve *2+4xy + y²=13 passing through the…

A:

Q: Find the slope of the tangent line to the curve (2x + 4y+ /2xy = V16 + V12 at the point (6, 1). %3D…

A:

Q: Compute for the interval [2, 3], where y = 6x – 1. Дх Ду 6 Ax What is the slope of the tangent line…

A:

Q: What is the equation of the Tangent Line to the curve y = 3 x – 4 x ² at (-2, – 22)? 19 x - y = 60…

A: Equation of tangent line

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A:

Q: What is the value of the slope of the tangent line to the curve *2+4xy + y2= 13 passing through the…

A:

Q: At what point on the Curve x = 3t2 + 4, y = t³ - 6 does the tangent line have slope (х, у) %3D

A:

Q: (A) Find the equation of tangent and normal to the curve 2x2 + y = 9 at (-2, –1).

A: To find the equation of tangent and equation of normal at the given curve .

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(x² + y²)° = 25(a² – y²) at the…

A:

Q: Determine the point on the curve of y=4/x where the gradient of the tangent to the curve is -1

A: To determine: The point on the curve of at which gradient of tangent to the curve is . Given: The…

Q: Find the slope of the tangent line to the graph of xy^2 + x^2 + y^2 = 9 at the point (0,3)

A:

Q: Estimate the slope of the tangent line at the point t= -2 for f(t) = 6t-3 (Give answer as a…

A: The given function is f(t)=6t-3 at t=-2

Q: Let y(x)=1/x+3 Estimate the slope of the tangent line of y(x) at the point x=1.

A:

Q: differentiate the functions and find the slope ofthe tangent line at the given value of the…

A: Given:        k(x)=12+x,    x=2.

Q: At what point on the curve x = 9t2 + 7, y = t - 5 does the tangent line have slope ? (x, y) =

A:

Q: x = esine y = ecose

A:

Q: Where on the curve y = (169 + x²)¯* does the tangent line have the greatest slope? NOTE: Enter the…

A: Given:   Curve y=169+x2-1             y=1169+x2 At the inflection points, the tangent to the curve…

Q: What is the value of the slope of the tangent line to the curve 2+4.xy + y² = 13 passing through the…

A:

Q: find the slope of tangent line to curve y^2+x^2=y^4-2x at (-2,1)

A: Given function y2+x2=y4-2x  We have to find slope of tangent line at(-2,1).

Q: (a) Determine the slope of curve y = x · Ln(x) at x = 3.

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

Q: what points on the given curve  x = 2t3, y = 5 + 50t − 10t2  does the tangent line have slope 1?…

A:

Q: find the slope of the tangent to the curve y^2 + x^3+4=0 at (-2,2). Then find the slope of the line…

A:

Q: Find the gradient of the curve and the equation of the tangent line at the specified point x*у' -…

A:

Q: Find the slope of the tangent line to the curve V3x+y+v2ry = Vi+v4 at the point (2, 1). The slope is

A: To find the slope we need dy/dx

Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y= x + 5X at the…

A:

Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Given curve is y=x-1. Power rule of differentiation states that, ddxxn=nxn-1 Differentiating the…

Q: Find the slope of the tangent line to the curve `-3 x^2 + 3 xy + 4 y^3 = 8` at the point (4,2)`.…

A:

Q: nd the point (both x and y coordinates) where the tangen

A:

Q: What is the value of the slope of the tangent line to the curve *y+y=5 passing through the point…

A:

Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y = X² –2× at the…

A: The definition of the slope of the tangent line at x=c is given by: limh→0fc+h-fch Given: y=x2-2x…

Q: . Find the gradient of the TANGENT LINE at the given points y = 4 - 3x2         at (-1, 1) y = x2 -…

A:

Q: Use the graph to estimate the slope of the tangent line to y = xn at the given point. Verify your…

A:

Q: At what point on the curve x = 9t2 + 3, y = t3 – 2 does the tangent line have slope ? (x, y) =

A:

Q: Find the slope of tangent line to the curve r=3-cas(@) coste

A: Find dy/dx

Q: What is the slope of the tangent line to the curve y=x* at x=2.9 (use 3 decimal places, no space)

A:

Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: Estimate the slope of the tangent  line to each curve at the given point (x, y)

A: The points through which the tangent line passes through are 3,-1 and 0, 1.5.Concept - If the line…

Q: Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your…

A: It is required to find the slope of tangent line from graph and then verify it analytically.

Q: Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal. a)…

A:

Q: Pls help ASAP

A:

Q: Find the slope and equation of the tangent line to the curve y = x3 + 2x + 1 at ( 2,4)

A: Our Aim is to find the slope and equation of the tangent line to the curvey=x3+2x+1 at (2,4) -(i)

Q: Is it possible to draw a tangent line with slope 4 to a differentiable function f which passes…

A:

Q: Find all​ x-coordinates of points​ (x,y) on the curve y=(x−2)4(x−5)-3 where the tangent line is…

A: Given,          y=x-24x-5-3 where the tangent line is horizontal.

Q: Find the equation of the tangent line to the curve y=xlnx that is parallel to the line Y=1+3x.

A:

Q: Calculate the gradient of the tangent line to the curve y3 - x3 -xy = 1at the point (-1,0).

A: