Homework Answers
4. For what values of a and b is the line 6x + y = b...
4. For what values of a and b is the line 6x + y = b tangent to the graph of y = ar' when = 2? Report only the value ofb. Show your work Done in the PDF version of the test. 11:044 b 1 of 3
Find the equation of the tangent line to the graph y=x√ at x=4. y = On graph paper, sketch the graph and the tangent line using the x-values 3.5,4,4.5. The tangent line provides a linear approximation...
Find the equation of the tangent line to the graph y=x√ at x=4. y = On graph paper, sketch the graph and the tangent line using the x-values 3.5,4,4.5. The tangent line provides a linear approximation to x√ near x=4. Use this approximation to find approximate values for 4.5‾‾‾√ and 5√
(1 point) For what values of x is the tangent line of the graph of f(x)...
(1 point) For what values of x is the tangent line of the graph of f(x) = 10x? - 45x? +61x + 30 parallel to the line y = x -0.5?
0 intersect only at (0,0) g(r)at z arctan(3z) Show that the graph y f(x) and its tangent line y p...
0 intersect only at (0,0) g(r)at z arctan(3z) Show that the graph y f(x) and its tangent line y po Consider the ftunction f(x) Intermediate steps: 1) The lIne tangent to y f(x)atz -0isy g(x) where g(r) 9(a)- 2Let H(x) f(x) - 9(x) The derivative ot H (x)s H'(z) = which is zero only when x = Rolle's theorem to H (x) on the interval [ri, 0]. Get a contradiction. 4) Now assume that we have zp O where f(2)-9(T2)...
Problem #8: Find the two values of x at which the graph of the given function...
Problem #8: Find the two values of x at which the graph of the given function has a horizontal tangent line. (If there is only one value of x then enter it twice, e.g., 12,12) (a) y - (x - 3)(x2 - 6x +9)
What is the slope of the tangent line to the graph of y = x2 cos...
What is the slope of the tangent line to the graph of y = x2 cos x at x = 0? Select one: a. +1 b. 00 c. O d. -1
1 Consider the graph of y= What is the equation of the tangent line at x=1?...
1 Consider the graph of y= What is the equation of the tangent line at x=1? N +x+ x+{x? a. 4. y= 5 6 5. b. y= C 2 / 3 (x - 1) + 2 y= *(x-1) + y= {(x-1) +} 18 25
13) Find an equation of the tangent line to the curve y=sin(5x)+cos(8x) at the point (π/6,y(π/6)). what is the tangent l...
13) Find an equation of the tangent line to the curve y=sin(5x)+cos(8x) at the point (π/6,y(π/6)). what is the tangent line: 14) f(x)=4x^2cos(4x) what is the first and second derivatives and solve both for F(5) NOTE There should be four answers! 16) Suppose that f(x)=3x/(4−5x^)3 find an equation for the tangent line to the graph of f at x=2. the tangent line: y=
The tangent line to the graph of f(x) at x 1 is shown. On the tangent...
The tangent line to the graph of f(x) at x 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line. A y f(x) X -2 2 3 -2 -3 (a) Find the coordinates of the points P and A P(x, y) A(x, y) (b) Use the coordinates of P and A to find the slope of the tangent line (c) Find f'(1) (d) Find the instantaneous rate of change...
show clear work plz Find an equation of the tangent line to the graph of y...
show clear work plz
Find an equation of the tangent line to the graph of y = x2 + 3x at the point (-1, -2)
4. For what values of a and b is the line 6x + y = b tangent to the graph of y = ar' when = 2? Report only the value ofb. Show your work Done in the PDF version of the test. 11:044 b 1 of 3
(1 point) For what values of x is the tangent line of the graph of f(x) = 10x? - 45x? +61x + 30 parallel to the line y = x -0.5?
0 intersect only at (0,0) g(r)at z arctan(3z) Show that the graph y f(x) and its tangent line y po Consider the ftunction f(x) Intermediate steps: 1) The lIne tangent to y f(x)atz -0isy g(x) where g(r) 9(a)- 2Let H(x) f(x) - 9(x) The derivative ot H (x)s H'(z) = which is zero only when x = Rolle's theorem to H (x) on the interval [ri, 0]. Get a contradiction. 4) Now assume that we have zp O where f(2)-9(T2)...
Problem #8: Find the two values of x at which the graph of the given function has a horizontal tangent line. (If there is only one value of x then enter it twice, e.g., 12,12) (a) y - (x - 3)(x2 - 6x +9)
What is the slope of the tangent line to the graph of y = x2 cos x at x = 0? Select one: a. +1 b. 00 c. O d. -1
1 Consider the graph of y= What is the equation of the tangent line at x=1? N +x+ x+{x? a. 4. y= 5 6 5. b. y= C 2 / 3 (x - 1) + 2 y= *(x-1) + y= {(x-1) +} 18 25
The tangent line to the graph of f(x) at x 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line. A y f(x) X -2 2 3 -2 -3 (a) Find the coordinates of the points P and A P(x, y) A(x, y) (b) Use the coordinates of P and A to find the slope of the tangent line (c) Find f'(1) (d) Find the instantaneous rate of change...
show clear work plz
Find an equation of the tangent line to the graph of y = x2 + 3x at the point (-1, -2)
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