5. A ball is shot from an air-cannon at an angle of 45 with the horizon. It travels along a path given equation h(d)=-50 d'+d, where h represents the ball's height above the ground and d represer distance the ball has traveled horizontally. Using your calculator to generate a table of values, gra function for all values of d on the interval 0sds 50. Look at the table to properly scale the y-axis. What is the maximum height that the ball reaches? At what value of d does it reach this height?

Q: If the normal to the curve y=f (x) at the point(3,4) makes an angle of 3/4pi with the positive…

A: Near the point of tangency, say (x0, y0), the slope f'(x) of the curve f(x) is approximately equal…

Q: The slope of tangent lines to a curve y=f(x) is given by f'(x)=1/√√x +4x^3-1. If the point (1,6) is…

A: Equation of curve

Q: f(x)

A: We will find the equation of tangent.

Q: 8. Find the equation of the line tangent to the graph of y tan (sin) when z= V2/2.

A:

Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

A:

Q: What is the value of the slope of the tangent line to the curve *y+y<=5 passing through the point…

A:

Q: If tangent line to y=f(x) at the point (4,3) also passes through the point (0,2), what is the value…

A: Given: If tangent line to y=f(x) at the point (4,3) also passes through the point (0,2) To find: The…

Q: 3. If y = 2 – 1, find the length of the graph of f from point z = 0 to a = 1.

A: Here, the given function is: y=f(x)=423x-1 To find the length of the curve from x=0 to x=1

Q: x-1 f(x) = x= 1 at (2₁²) x+1

A: The objective of the question is determine the slope of the line tangent.

Q: The curve y = ax² + bx + c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A:

Q: The slope of the tangent line to the graph of the function y = 9/T – 4 at (16, 32) is O 1.75 O 4…

A: The given function is: y=9x-4 Now, slope of the tangent is given by dydx=92x-0=92x

Q: 3. What is the equation of the tangent line to the curve x3 + x² = y which is parallel to the line…

A: Given the equation of the curve y=x3+x2 and the tangent line is parallel to 3y+x-5=0

Q: Find the slope of the line tangent to the graph of f(x)= tan(x) at x=pi/6

A: Given function - f(x) = tanx           .............(1)Let the equation of the tangent line be - y =…

Q: The slope of the tangent line to the graph of the function y = 9Va -2 at (4, 16) is -5.00 O -4.00 O…

A: Simply calculate the derivative of function at given point.

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

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: The curve y = a x 2 + b x + c passes through the point ( 1 , 2 ) . The line y = 2 x + 1 is tangent…

A: Given that the curve passes through a point.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = xsin(x),…

A: We tale ln on both sides then differentiate both sides with respect to x

Q: If the normal to the curve y-f(x) at the point(3,4) makes an angle of Pi with the positive x-axis…

A:

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

A: Given function is, f(x)=x2

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

A:

Q: The slope of the tangent line to the graph of the function y = 8VI - 4 at (16, 28) is O 1.50 O -1.75…

A: Given function is, y=8x-4

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: 6. The tangent to the function f(x) = ke2x at x = has slope 2e. Find the value of k.

A:

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

A: The given function is fx=27x2+9.

Q: If the instantaneous rate of change of g(x) at (-1, -2) is 1/2, write the equation of the line…

A:

Q: What is the slope of the tangents at x=5 of a circle with a center point (x=4, y=0) and a radius…

A: The given circle has center at (x=4,y=0) and radius (r=2).

Q: Give an equation for the tangent line to the graph of y = k(x) at the point when x = 2.

A:

Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x = is %3D

A: We need to find slope of normal line.

Q: 8. What is the rate of change of the slope of the tangent line to the curve y =x – 3x2 +1 when x =…

A:

Q: 5-Find the equation of the tangent to the function y = sin x at x = n/4

A: Given :y = sinx

Q: Find the equation of the tangent line to the graph of the given function at the point with the…

A:

Q: 7. Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. Show all steps

A:

Q: The slope of the tangent line to the graph of the function y = 7 x – 3 at (9, 18) is. O -2.67 O 1.17…

A: We know that dy/dx gives slope of tangent at any point.

Q: If the normal to the curve y=f(x) at the point(3,4) makes an angle of ¾Pi with the positive x-axis…

A: Answer of the provided qn in written has been provided below -

Q: Find the equation of the line tangent to the graph of f(x) = –4 cos (x) at x = 4 Give your answer in…

A: Given function is, f(x)=-4cos(x)

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

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Q: 3 Find the slope of the tangent to the graph of f(x) = /x+5 at the point where x= 4.

A:

Q: What is the value of the slope of the tangent line to the curve x²+ 4.xy +y² =13 passing through the…

A: topic - slope of a tangent at a point on a curve

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

A:

Q: 4. Find the equation for the tangent line to the graph of y = VT at a = 2. Remember to keep every…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

A: Given: y=8x arccos(x-1) and point (1,4π)

Q: Find an equation of the tangent line to the graph of f at the point (2, f(2)). f(x) = 3(8x − 2)4 y…

A: Given:The function f(x) = 3(8x−2)4.The point (2, f(2)).

Q: 7) Find the equation of the tangent line to the graph of f(x) = –sin(x) +3 at x = 4

A:

Q: Find the values of æ where the tangent line to the graph of f(x) 1 is parallel to the line y = – 6x…

A:

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A:

Q: The slope of the tangent line to the graph of the function y = 7VI - 3 at (9, 18) is O -2.00 O 1.83…

A: Solution