Without drawing a graph, describe the behavior of the basic tangent curve.

Q: What is the frequency of the tangent function represented by the graph below?

A: Find frequency for the function.

Q: compare a secant and a tangent by defining each.

A: To compare a secant and a tangent

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: What are Vertical Tangent Lines?

A: Vertical tangent line:

Q: Does the graph ofhave a vertical tangent at the point (0, 1)? Give reasons for your

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Q: Determine the point on the curve where the slope of tangent line to the curve is -3 or 0

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Q: graph of f(x) =÷ at the point ( 1,-). %3D

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Q: The rate of change of atmospheric temperature with respect to altitude is equal to the slope of the…

A: The rate of change of atmospheric temperature with respect to altitude is equal to the slope of the…

Q: Determine whether the graph of y = X has any horizontal tangent lines.

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Q: If a graph is concave up on an interval, what happens to the slope of the tangent as you move from…

A: If a graph is concave up on an interval

Q: What are the characteristics of the graph of the tangent function?

A: What are the characteristics of graph of tangent function

Q: Find an equation of the tangent line to the graph of the function y=2 arcsinx, at the given point,…

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Q: Find the equation of the line tangent to the given curve with the given slope. y=x^2-7x, with…

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Q: Use the guidelinesof ths section to sketch the curve.

A: The function is y=xx2-4. Obtain the points where y is not defined. Set denominator to zero:…

Q: Find an eqaution of the tangent line to the curve at the given point. y = 4x - 3x2, (2,-4)

A: The given function is y=4x-3x2 and the point is 2,-4

Q: Describe in your own words, the difference between the slope of a secant line versus the slope of a…

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Q: Find the slope and the equation of the tangent line to the curve and explain briefly.  y = 2x^2 –…

A: The slope of the curve at any point  x1,y1 can be calculated by using the formula m=dydxx1,y1 ,…

Q: The tangent line to the graph of y perpe

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Q: What is the range of the tangent function?

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Q: Write the equation of the tangent line to the curve = 2 at the point (1,1). .3

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Q: Explain how to find the tangent line and normal line equation when the slope is undefined?

A: It is given slope at the point is undefined say the point is (x1, y1).  The equation of tangent at…

Q: Find the equation of the tangent line of the curve

A: Given,cotx+y-sinx-y=1differentiating both the sides…

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

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Q: What is the value of the slope of the tangent line to the graph of y at the point (-1, -) O 1/2…

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Q: Find the coordinates of the point P in the graph at which the tangent line passes through (5, 0).…

A: The given function is fx=16-x2. let the given point P be h,k. It is given that h,k is on fx=16-x2.…

Q: Find the equation of the tangent to the curve x2 = y²x + 2 at (-1, 1). Use graphing software to find…

A: To find the equation of tangent at the given point

Q: Find the slope of the tangent line to the curve

A: Follow the procedure given below.

Q: Describe how to find the slope of the tangent line to the graph of a function at a point.

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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 =…

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Q: Find an equation of the tangent line to the curve at the given point. y = 4x^2 − x^3, (1, 3)…

A: The curve y = 4x2 – x3, we have to find the equation of the tangent line to the curve at the point…

Q: Find an equation of the tangent line

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Q: The slope of the tangent line is

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Q: tangent line of the curve

A: The tangent line is the line on the curve which passes through the given point on the curve.

Q: Please provide an example of real life computation and application of slope of a tangent line

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Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: Given, y= x³-4x²+9 Therefore, dy/dx = 3x²-8x Also given, x=1 Substituting in the above equation we…

Q: Illustrate the geometric idea for finding the tangent line to a curve?

A: In Geometry, A tangent line to a curve is the straight line that touches a given curve at one point…

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: we will find tangent line to curve f(x) at x=1 for slope we will use power rule of derivative .

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: Formula: The equation of a line passing through x1,y1 and having slope m is given by y-y1=mx-x1. The…

Q: Find an equation of the tangent line to the graph at the given point.  square root of x + square…

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Q: Would it be more difficult to find the points where there is a horizontal tangent line to this…

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Q: Find (and simplify) the equation of the tangent line to the graph of

A: Equation of Tangent line to curve y=3xx-1, at x=2

Q: Can a tangent line to s graph intersect the graph at more than one point? if, so give examples.

A: We know that tangent line to a circle intersects the circle at only only point.

Q: Can you help me find the slope of the tangent line to the graph at the given point?

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Q: Find an equation of the tangent line to the

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Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 - x3, (1, 6) y =…

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Q: What is a tangent line?

A: The tangent line of a function is a straight line that passes (touches) through (not crosses or…

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4x

A: This is a problem of tangent line equation. Slope of the tangent line is equal to the slope of given…

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)2 = 37, (4,…

A: Given:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: