find p'(2) and q'(8) using the graph?

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

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Q: In the open interval 0, find the point where the slope of the curve y =tanx is 4?

A: in the open interval 0,π2, we have to find the point where the slope of the curve y=tanx is 4. the…

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

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Q: Find the slope of the line tagent to the curve of y = In x/x at point (1,0)

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Q: the tangent line  to the graph of y=lnx\x is perpendicular to the line x=7 at the point where?

A: The line x = 7 is perpendicular to x axis. Hence, it's slope is infinity. The tangent line that is…

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

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Q: Find the line tangent to the curve x + y3 = 4 at the point (3/3, –1).

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Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (3,2v3).

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Q: The slope of the tangent line to the graph of the function y = 2x3 at the point (2, 16) is lim2"…

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Q: What is the slope of the curve y = x2 (x + 1)3 at (1, 8)?

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Q: Find all the points on the graph of (x² + y²)² = x² – y² that have horizontal tangent line.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

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Q: the tangent line to the graph (x^2 + 4)y = 8 at the point (2, 1).

A: Use formula of  equation of tangent  line

Q: 9). Find the curve whose slope at any point is 3x – 5 that passes through point (5,3).

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Q: (8 points) Find the slope of the line tangent to the graph of 1 f (x) = 2x* – 32x + 17x2 – 9x + 4 at…

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Q: Find the exact length of the curve y3 = 22 from (-1,1) to (8, 4).

A: Use formula of length of curve

Q: Find the equation for the tangent line of the graph of y = x² at (-4, 16). Equation:

A: The given equation is; y=x2 at (-4,16)

Q: How do the slopes of the lines tangent to the graph of y = tan-1 x behave as x S ∞?

A: The slope of the line tangent to the graph of y=tan-1x  at a point is the derivative of the function…

Q: What is the length of the curve y3/2+4 from the point (1,5) to (4,12)?

A: To find: The length of the curve y3/2+4 from the point (1,5) to (4,12).

Q: 3 at the point 7, 3 is: The slope of the tangent line to the curve y %3D

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Q: Find the equation of the tangent line to the curve y = x2 at the point (-2, 4). Sketch the graph of…

A: The slope of tangent to a curve at a point a,b is given as, mtangent=dydxa,b The equation of line…

Q: Find the equation of the tangent line on the top graph of ... at the point (3,2)

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Q: Find an equation for the tangent line to the curve n = 4- 2 at (-1,3).

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Q: 9 Find the length of the segment 16 between the lines. y- 1-x + arcsinx of the curve -0, x

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Q: Find the points on the graph of y = ex where the tangent line has slope 4.

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Q: Find the length of the curve (Sketch and Solve) One branched of the curve 9y2=4x3 from x = 0 to…

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Q: Find all the points on the graph of (x² + y²)² = x² – y² that have vertical tangent line.

A: This question is taken from the tangent and line in which we have to all points on the graph that…

Q: How many tangent lines to the curve y = x/(x + 1) pass through the point (1, 2)? At which points do…

A: The tangent lines to the curve y=xx+1 passes through the point (1, 2)

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

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Q: Sketch the curve y = x/(x² – 9). Enumerate the steps in your solution.

A: as per our guidelines, we are supposed to answer only one question if there are multiple questions…

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 the equation in terms of x and y of the tangent line to the curve r= 4sin 5θ and θ =π/3.

A: Given: r=4sin5θ  and θ=π3

Q: Find the equation for the tangent line of the graph of y = x² at (-1,1). Equation:

A: The given function y=x2 at (1,1)

Q: Find the equation of the tangent and the nirmal to the curve y=5x4 at the point (1,5)

A: Given curve,  y = 5x4  To find the equation of tangent and normal at the point (1, 5)

Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

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Q: find the equation of a tangent line for y=arcsin(x/8) at the point (4,π/6)

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Q: Find the equation of the line tangent to the graph f(x) = – at the point (4,1).

A: Given:            fx=4x To find the slope of the tangent line, find the value of the derivative of…

Q: Find the tangent and normal line to the curve at the specified condition.  3x3 - x2 - 12x + 6 at…

A: Suppose we wish to find the equation of the tangent tof(x) = 3x3 − x2 - 12x +6 the points where the…

Q: 5. Find the point on the parabola y=-x+3x+4 where the slope of the tangent line is 5.

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Q: plot the curve x^3+y^3=6xy together with the tangent to the curve at the point(4/3,8/3). Show all…

A: The given curve is: x3+y3=6xy              .....(1) Now find the equation tangent to the curve at…

Q: What point on the curve y = x is closest to the point (5, 0)?

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Q: 2. Determine the equation of the line tangent to the graph of y = x³ + 2x at the point (1,3).

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Q: 7. Find the slope of the tangent line at point (-2,2) on the curve flx) = 2x² + 3x. %3D

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Q: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…

Q: Find an equation of the tangent line to the graph of y = arcsin(2x) at the point 2/2 4

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Q: Find the equation for the tangent line of the graph of y = x² at (-3, 9). Equation:

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Q: 4. Find the member of the curve whose slope at any point is 4y point (3, 4) and passes through the

A: Note: As they are different questions, as per our company guidelines we are supposed to answer the…

Q: #8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²/

A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…

Q: 1 Find the length of the curve ソ= 9 from x =1 to x=2. 28x7,

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.