Below is the graph of g(x). Estimate g(x) dx with n = 3 subintervals/rectangles using (a) right endpoints. (b) left endpoints. (c) midpoints.

Q: 4. Find the equation of the tangent line to the graph of f(x)= 2x² – In Vx at x = 1.

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Q: Find an equation of the tangent line to the graph of y = f(x) at the given x. 14. f(x) = 1 at x = 4

A: Rtyu

Q: Find the equation of the line tangent to the graph of f(x) = -3 cos (x) at x 2

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Q: 1. Find the slope of the tangent line to the graph of f at x = 4, given that f(x) = -x2 + 4Vx.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. Find the equation of the tangent line to the graph of y = 3cos 4x at x = 3

A: The equation of tangent line can be found by using the formula,y-y1=mx-x1Where, m=dydxx1

Q: For which value(s) of x does f(x)=−x^3/3−2x^2+3x−8 have a tangent line of slope 7?

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Q: Find the equations of the tangent lines to the graph of y = ln  x  at x = 1 and x = -1.

A: To find equation of tangent lines at x=1 and x=-1f(x)=lnx

Q: 4. Find the equation of the tangent line to the graph of g(x) = v2-x at x =-7 %3D

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Q: Use the trapezoid rule withn=4 to estimate dx . Answer must be in fraction.

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Q: The slope of the line tangent to the graph of y = In(x²) at x = e² is %3D

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Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

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Q: he line tangent to the graph of y=In(3x)+ 2x e at x =1 6

A: Equation of line is given as   y-y0 = dydxat x=1*(x-x0) Given,x0 = 1y = ln(3x) + e2x6y0 = ln(3x0)…

Q: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

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Q: 2. Find the points on the graph of f(x) =- where the tangent line is horizontal. x2+2

A: Given f(x)=xx2+2we want to find the point on curve where tangent is horizontal

Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x is 4

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Q: The equation of the tangent line to the graph of f(x) = vx+1 At the indicated point (3,2) is:…

A: The given function is fx=x+1. Evaluate the slope of the function at the point (3, 2) as follows.…

Q: The tangent lines to the graph of f(x) = x2 grow steeper as x increases. At what rate do the slopes…

A: The tangent line of any given function is the line which  touches the curve of function at only one…

Q: 12. Find the x-coordinate of the point on the graph of y= Vx where the tangent line is parallel to…

A: From the given data: x=1 x=4

Q: 2- Find dy/dx for y = In(tan(2x2))

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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)=3

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Q: 5. Find an equation of the tangent line to the graph of f(x) = In (2x + 1) – e* at the point where x…

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Q: Find the lengths of the curves y = x2 - (ln x)/8, 1≤ x ≤ 2

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Q: What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the point.12

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Q: If –5 + y³ = xy² – x and it is known that find all coordinate -2xy+3y2 > 2 and the line tangent to…

A: consider the curve         -5+y3=xy2-x  ⋯⋯⋯⋯⋯ (1)  and             dydx=y2-1-2xy+3y2  To find all…

Q: 7) Find the tangent line to the graph of f (x) = 3 – 4e * at x =0.

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Q: Find the slope of the tangent line on the curve y = x3 - 2x2 – x at x = -2. -6 O -19 O 19 O 6

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Q: Find the points on the graph of y = ex + e-2x where the tangent line is horizontal.

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Q: 25.For which x – values does the graph of y = e3x³-2x-4x have a horizontal tangent line ?

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Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 4 if g(4) = −3 and g'(4) = 6.

A: Given that  y=g(x) and g(4)=-3 also g'(4)=6  We have to find the equation of tangent line . Please…

Q: on the chain rule find the tangent line to graph y=(x+2/x+1)^2, at x=0

A: We have to find tangent line to y , first we will find  value of y at x=0.

Q: A line with slope m passes through the origin and is tangent to the graph of y = ln x. What is the…

A: Let the point of contact is (h,ln(h)) We find the slope of the tangent using dy/dx

Q: Find the linear approximation to y=arcsinh(2x) at x=6.

A: Given:y=arcsinh(2x) and x0=6To find:The linear approximation to y=arcsinh(2x) at x0=6

Q: 1. Use the delta method, 2 BONUS MARKS y = 5x² dy dx = lim h-0 f(x+h)-f(x) h to find dx for the…

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Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: Find the length of the curve y = ln (1 - x2), 0<=x<=1/2

A: Given:

Q: What is the slope of the tangent line that touches the graph of Iny+e2x-1 = 3y – 4x at the point A 1

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Q: Find an equation of the tangent line to the graph at the given point.

A: Given, fx=4xx2+6 Now we find the slope ddx4xx2+6 Now by using the quotient rule,…

Q: Example Find dy/dx for the function y = x² In (4x)

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Q: 5. Find the slope of the tangent line to the graph of r = 2-2cos e when 0 = に一2

A: We have given equation of graph r=2-2cosθ  We have to find slope of the tangent line to the graph…

Q: 2. Use the Midpoint Rule with n = 4 to estimate (x² + 1) dx %3D

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Q: Find the arc length of the graph of the function f(x)=5√x3 from x=3 to x=7.

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Q: Use the trapezoidal rule withn= 4 to approximate cos(x) dx Keep at least 2 decimal places accuracy…

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Q: 9. Find the point on the graph of y = x² where the tangent line is parallel to the line 3x – 4y = 4.

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Q: With n > 0, does x" dx get larger or smaller as n increases? Explain graphically.

A: Given: The given integral is ∫01xndx. Calculation: Use the integral formula, ∫xndx=xn+1n+1+C.…

Q: 3. Find the siope of the tangent line that crosses through the point (3, 7) along the 2 curve f(x)=x…

A: Given :f(x)=x2-x+1

Q: 2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point…

A: We know that a line which touches the curve fx at one and only one point is called a tangent line.…

Q: The slope of the tangent line to the graph of y = e3 at x = In 2 is

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Q: 5 7. Find the slope of the tangent line to the graph of y = x² at the point where x = –

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