Sketch a graph of   y^2 / 4 − x^2 / 9 = 1

Q: sketch the shifted exponential curves

A: The given curves are y=2x-1 and y=2-x-1. The graph of y=2-x-1 is the reflection of y=2x-1 across the…

Q: 3. Sketch a graph of the position of an object that has an average velocity of • -5 mph for times…

A: As we know the rate of change of position  is velocity let object is moving in x direction hence…

Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

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Q: Find the slope of the line tangent to the graph of y= sin3x at x=pie/6

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Q: Graph the function y=-sin2x on [-pi,0]

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Q: What is the shape of a graph in application of derivatives?

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: What is the most time-consuming part in using a graphing utility to graph a general second-degree…

A: To discuss about graphing utility.

Q: Find an equation of the line tangent to the graph of y = exat x = 0.

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Q: sketch the shifted exponential curves

A: We have to sketch the shifted exponential curves: y=-ex and y=-e-x. We know the graph of ex and e-x,…

Q: Analyze the graph of y = (arctan x)2.

A: Given- y=arctanx2 To Analyze- The above graph.

Q: Draw the derivative of these graphs.

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Q: sketch the shifted exponential curves y = 3x + 2 and y = 3-x + 2

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

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Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: Describe the tangent line at an arbitrary point on the graph of y = 2x + 8

A: we have to describe the tangent line at an arbitrary point on the graph of y=2x+8

Q: Find an equation of the line tangent to the graph of ƒ(x) = (2x - 1) (x + 4) at (1, 5).

A: To findEquation of the line tangent to the graph y=(2x-1)(x+4)  at (1,5)⇒y=2x2+7x-4.

Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – axis…

A: Solution

Q: at the line x = 3. %3D

A: Find the volume of the solid generated by revolving the region between the parabola  x=y2+1 and the…

Q: Which point on the graph of y = radical x is closest to the point (7, 0)?

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Q: Find the equation of the tangent line to the graph of 3

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Q: 7- 2-1 as as マ 2. )に

A: We need to plot the derivative graph from the given graph.

Q: What does the slope of a secant line through two points on the graph of a distance vs time graph…

A: lets consider

Q: Use the guidelines of the section to make a complete graph of ƒ. ƒ(x) = sin x - x on [0, 2π]

A: Given function - f(x) = sinx-xIntervals = 0, 2πUsing value of π as 3.14 to draw the curve,let us…

Q: Give an equation for the tangent line to = 1 at the y2+1 point (5,2) and sketch it on the graph. -5-…

A:

Q: sketch the shifted exponential curves

A: To draw the graphs , first draw x and y axes . Label x for x-axis and y for y-axis . Choose some…

Q: Choose the correct graph by clicking. 0 = 3150 ly

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Q: Write the equation of the tangent line to the graph ofy = (7x2 − 6x + 2)(1 + 2x)atx = 1.

A: we have to find tangent line to f(x) at x=1first we will compute tangent point at x=1

Q: Draw the graph x2+y2=8, and the tangent line at (√3, √5), please write the equation for tangent line

A: Tangent equation.

Q: Find the equation of the tangent line that passes through point (1,2) to the graph 8y3 + x2y - x =…

A:

Q: how do i identify which is the first derivative, second derivative, and original graph

A: Given information: Draw the graph with labeled points.

Q: Sketch the graph of the equation: 1+tanhx F(x}=;In 1-tanhx

A: Given: F(x)=12ln1+tanhx1-tanhx To sketch: the graph of the given equation.

Q: What happens to the curve on a graph for a function that has a negative phase shift and a negative…

A: A negative phase shift indicates a movement of the curve on a graph to the right.

Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: What is the rate of change of the function whose graph is a line passing through  (3, 5) and (−1,…

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Q: Find the second derivative of y = -5 %3D -

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Q: If a graph is increasing at a decreasing rate is it concave up or concave down?

A: When double derivative is negative than graph is concave down and when double derivative is positive…

Q: Draw the graph with the first derivative

A: Draw the graph with the first derivative

Q: Write the equation of the tangent line to the graph of y = x at the point x = - 0.7.

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Q: Find the function whose tangent line slope is 3 and whose graph passes through (1,-1)

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Q: There is a line through the origin that divides the region bounded by the parabola y=7x-(2(x)^2) and…

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Q: Sketch a graph of y = 2x on [-1, 2] and use geometry to find theexact value of function given

A: Let's sketch the graph of the following function:                                       y=2x…

Q: Find the equation of the family of curves whose slope at any point (x,y) is   2. x/y

A:

Q: Explain derivatives on optimization ?

A: Topic:- derivatives

Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: find the slope of the line tangent tothe graph of ƒ(x) = -5x + 1 at the point (1, -4).

A: We have to find slope of tangent line to the graph of fx=-5x+1 at the point 1, -4. We know that…

Q: Find the differentual equatrion characterizing the family of curves described

A: Given that: ky=x2

Q: Find the slope of the curve y² = 3x + 1 at the point (- ,0). Draw the graph of the curve.

A: y2=3x+1 Differentiating with respect to x, we get 2y·dydx=31+0⇒2y·dydx=3⇒dydx=32y Now slope of the…

Q: Sketch a graph of position as a function of time for an object that is speeding up and has negative…

A: This same general principle can be applied to the motion of the objects represented in the two data…