Filid an eduation of tangent lihe to the graph of ye g (6) at X=51t if 9(5)=-3 ado(5)=中 ダくラノに牛

Q: Find the equation of the line tangent to the graph of f(x) = (In x)° at x = 4. (Type your answer in…

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -5 and g'(3) = 2.…

A: Here, y = g(x)  and g(3) = -5 i.e. when x1 = 3, then  y1 = -5 and g(3)=2 i.e. At x =3, the slope, m…

Q: Find the equation of the tangent line to the graph of y?- x+1=0, at the point (2,-1). %3D

A: Here we havw to find the equation of the tangent line to the graph y2-x+1=0 at the point (2, -1)

Q: 3. Determine the slope of the tangent at x = -1 on the graph f(x) = (5x² + 1)3.

A:

Q: За — 5 The graph y = has a horizontal tangent at x = et

A: Tangent to the curve at x = a is horizontal if slope at x = a is 0

Q: 28. The line tangent to the graph of g at the point (x, y) inter- sects the x-axis at the point…

A:

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (2, 1) Witch of…

A:

Q: Find an equation of the tangent line to the graph at the given point. y = y 8 16 x fix) = 2 X + 16 4…

A: Given that a graph  and  find an equation of the  tangent line at point (-2,-8/5).

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3.…

A:

Q: The tangent line to the graph of y = h(x) at the point (-1, 7) passes through the point (5, 4). Find…

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Q: 32. Find an equation of the tangent line to the graph ofy= /(r)at z = -3if S(-3).32 and f'(-3) 5

A:

Q: The tangent line to the graph of y g(x) at the point (4, 2) passes through the point (1, 4). Find…

A: Tangent line to graph g(x) at a point (4,2)⇒(4,2) is point on g(x)g(4)=2

Q: For what x-values that the curve ?(?) = (1/3)x3-x2 have horizontal tangent lines?

A: fx=13x3-x2 Differentiating with respect to x, we get f'x=133x2-2x    ∵dxndx=nxn-1=x2-2x

Q: The tangent line to the graph of y = g(x) at the point (4, 5) passes through the point (7, 0). Find…

A:

Q: Find the point on the graph of y = x3 such that the tangent at the point is parallel to the line y –…

A: Consider a graph: y=x3……1   Equation of line parallel to the tangent of above equation is:…

Q: 56. For what value of a does the graph of f (x) = e® – 2x have a horizontal tangent?

A: Given query is to find the value of x where tangent is horizontal.

Q: Find an equation of the tangent line to the graph of y = g(x) at x= 2 if g(2) = -4 and g'(2) == 5.…

A: Known fact: The equation of line with slope m and passing through x1, y1 is given by y-y1=mx-x1.

Q: 14. Find a function whose tangent has slope 4x+1 for each value of x and whose graph passes through…

A:

Q: 4) Determine an equation for the tangent to the graph of the curve y = (6x - 3)(-x? + 2) when x = 1.…

A: Note: To draw the tangent of a curve at a given point, first we have to find out the slope of the…

Q: Find the points on the curve y = 2x + 3x2 - 12x + 2 where the tangent line is horizontal. (х, у) -…

A:

Q: Please firid the equation of the livie tangent to the graph of x²y² - qx²- 4 y² = o at (-4, avs). 9…

A: Given:- x2 y2 -9x2 -4y2 =0  To find:- Equation of tangent line on curve at point (-4, 2√3)

Q: ) Let f(-4) = 3 and f'(-4) = 6. Then the equation of the tangent line to the graph of y = f(x) at x…

A: Given:

Q: 4) Find all values in the interval [-2z,27]at which the graph of fhas a horizontal tangent line.…

A: -2pi = -6.2832 2pi = 6.2832 we can see from the graph 5 values satisfies horizontal tangent, we can…

Q: Does the graph ofhave a vertical tangent at the origin? Give reasons for your answer.

A: Given: f(x)=-1,x<00,x=01,x>0

Q: The tangent line to the graph of y = g(x) at the point (4, 2) passes through the point (1, 8). Find…

A: topic - slope of a tangent line

Q: The graph of y = f(x) (solid) and its tangent line at (0, - 5) (dashed) is shown. 10+ 6- 4- 10 -9 -8…

A: Given: The graph of y=f(x) and its tangent line is at (0,-5) (dashed) is shown.

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -4 and g'(2) = 5.…

A: Given function is                                              y=g(x), at x=2g(2)=-4 and g'(2)=5 we…

Q: The tangent to the graph of f(x) = 1/x^2 at point (2, 1/4) form a triangle. Find the area of the…

A: Given query is to find the area of the triangle formed by tangent.

Q: A point of inflection on a curve is a point where y" is positive on one side and negative on the…

A: A point of inflexion is a point at which  y'' changes its sign. It is positive on one side and…

Q: Let y=4x4 + x. At what point is the tangent line to the graph perpendicular to the linet tangent to…

A: if line L1 having slope m1 and line L2 having slope m2 are perpendicular then m1m2=-1

Q: Find a point on the graph of /(x)=6x-15 where the tangent line is parallel to the line y+x=1. Seloct…

A:

Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: What is the slope of the tangent line to the graph of y= x*-3x2 + x +2 at x-17 [a) What is the…

A:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x°;…

A: Solution: The objective is to find the equation of the line

Q: The tangent line to the graph of y = g(x) at the point (6, 4) passes through the point (2, 9). Find…

A: The tangent line to the graph y=g(x) at the point (6,4) passes through the point (2,9). Note:…

Q: The tangent line to the graph of y = g(x) at the point (9, 1) passes through the point (4, 6). Find…

A:

Q: Find an equation of the tangent line to the graph of y = f(x) when x = 2 if f(2) = -6 and f'(2)= 5.…

A:

Q: Find the equation of the tangent to the graph y=x√(x-1) at (5,10).

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -2 and g'(3) = 5.…

A:

Q: 7. An equation of the line tangent to the graph of f at the point (2, 7) is y = 4x – 1. Find f(2)…

A: Topic - point of tangent To the curve and slope of tangent to the curve

Q: (c) Find the slope of the tangent to the graph of y = f(x) at x = -1. (d) Find the point on the…

A: Slope of tangent = dy/dx

Q: Find the equation of the line tangent to the graph of f(x) = (In x)“ at x = 8. (Type your answer in…

A: From the given data:

Q: Find an equation of the tangent line to the graph of the function at the given point. You must write…

A:

Q: I need a n easy to remember formula to find the slope of a tangent line.

A: If the given curve is y=f(x) and we have to find the slope of tangent to the curve at the given…

Q: How many lines are tangent to both of the circles  x2 + y2 = 4  and  x2 + (y − 3)2 = 1?   At what…

A: Given: The equations of circle are given as, Consider the parametric co-ordinates for the Eq. (A)…

Q: 13. Show that there are no tangents to the curve y = can be concluded about the graph? 2x+1 4x +3…

A: We have to prove that negative slope is not possible for graph.

Q: The tangent line to the graph of y = g(x) at the point (6, 8) passes through the point (3, 2). Find…

A:

Q: 13. BONUS: Find the coordinates of all points on the graph of y=1-x at which the tangent line passes…

A:

Q: 3. If the graph of y=fcx) has a horizontal tangent at x=a, what is happening at this point ? I…

A: For a function ; a point is considered. A horizontal tangent exists at this point which means that…

Q: Find an equation of the tangent line to the graph of y=g(x) at x=5 if g(x)=-6 and g’(5)=2. Answer…

A: We have to find equation of tangent line

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.