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Answer both and show work.
D-1. A graph of y = f(x) is shown below. Draw...
please show all your work i am really trying to understand how to solve these Find...
please show all your work i am really trying to understand how to
solve these
Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = 32x+32 at (1,8) Show all of your work on paper and submit it on canvas. your won't get The equation of the tangent line to the graph of f(x) at the given point is Find the equation of the tangent line to the graph of f(x) at...
show all work, no written work f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function...
show all work, no written work
f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function by these criteria: 1) Domain; 2) Axis intersections; 3) Asymptotes (show the relevant limits) 4) Intervals of increase and decrease; 5) Points of relative extremum; 6) Intervals of concavity (upward or downward); 7) Inflection points. 8) Draw the function's graph. b. Find the equations of the tangent lines to the graph of the function at all extremum and inflection points, and add them to...
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...
1. Find an equation of the line that is tangent to the graph of f and...
1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function Line f(x) = 2x2 2x − y + 2 = 0 y = 2.Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. f(x) = 2(2 − x)2, (6, 32) f '(6) =
Refer to the graph of y=f(x)=x2 + x shown. Answer parts A-D as an integer or...
Refer to the graph of y=f(x)=x2 + x shown. Answer
parts A-D as an integer or simplified fraction.
a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)). b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2 + h)). c) Find the slope of the graph at (2, f(2)). d) Find the equation of the tangent line to the graph at (2, f(2)). 18- 16- 14 12 10- 8- 6- 49...
Answer both and show work. 1y=fle) L-5. Given the graph of the function f(x) shown to...
Answer both and show work.
1y=fle) L-5. Given the graph of the function f(x) shown to the right-the same graph is - used for L-2. Identify any points where f(2) is not con- tinuous and explain why using precise mathematical statements in relation to how the definition of continuity is not sat- isfied. You may refer to work in L-2 rather than repeat it. L-3. Given the function g(2) defined piecewise below, determine each of the following values, showing clearly...
Tyā (x,y)メ(0,0) (x,y)= (0,0). if if 1 (d) Given the unit vector u-( find the directional deriv...
Please do the parts in the given order
tyā (x,y)メ(0,0) (x,y)= (0,0). if if 1 (d) Given the unit vector u-( find the directional derivative of f(x, y) at the 리지, ,- point (to,m) = (0,0), in the direction of the vector a. (e) Find the gradient of f(x, y) at the point (zo,o) (0,0) (c) Find the equation of the tangent plane to the graph of the function z -f(x, y) at the point (x,y,z) (1,0,0).
tyā (x,y)メ(0,0) (x,y)=...
Need answer all question and draw Below is the graph of y= f'(x). Use the graph...
Need answer all question and draw
Below is the graph of y= f'(x). Use the graph to answer the questions that follow. -4 -3 1. On what intervals is f(x) decreasing? Write your answer in interval notation. 2. What is the total change in f as x goes from 1 to 2? 3. At what value(s) of x does take on a local maximum? If there are none, write "NONE" in the answer space. 4. If f(-2)=-3, what is the...
Consider the polynomial f(x,y)=ax^2+bxy+cy^2 (without using second derivative test) by identifying the graph as a paraboloid. ***Graph at least 9 DIFFERENT polynomials. Show graphs to accompany ac...
Consider the polynomial
f(x,y)=ax^2+bxy+cy^2 (without using second derivative test) by
identifying the graph as a paraboloid.
***Graph at least 9 DIFFERENT
polynomials.
Show graphs to accompany actual
working. Would appreciate it dearly.
Quadratic Approximations and Critical Points Consider the polynomial f(x,y)+ ry+ c (without using the Second Derivative Tet) by identifying the graph as a paraboloid. 1. Graph f(x, y) for at least 9 different polynomials. (Specific choices of a, b and c.)
Quadratic Approximations and Critical Points Consider the...
5. Let f(x) = arctan(In x) for all x >0. A graph of y = f(x)...
5. Let f(x) = arctan(In x) for all x >0. A graph of y = f(x) is shown in the figure. (a) Find the formula for the derivative f'(x). Then explain how you can deduce from this formula that f is invertible. (b) Find the formula for f-1(x), the inverse of f. (c) What is the domain and range of f-1? (d) Sketch a graph of the function y=f-1(x). (e) Now determine the value of (F-1)(0) using your results from...
please show all your work i am really trying to understand how to
solve these
Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = 32x+32 at (1,8) Show all of your work on paper and submit it on canvas. your won't get The equation of the tangent line to the graph of f(x) at the given point is Find the equation of the tangent line to the graph of f(x) at...
show all work, no written work
f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function by these criteria: 1) Domain; 2) Axis intersections; 3) Asymptotes (show the relevant limits) 4) Intervals of increase and decrease; 5) Points of relative extremum; 6) Intervals of concavity (upward or downward); 7) Inflection points. 8) Draw the function's graph. b. Find the equations of the tangent lines to the graph of the function at all extremum and inflection points, and add them to...
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...
Refer to the graph of y=f(x)=x2 + x shown. Answer
parts A-D as an integer or simplified fraction.
a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)). b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2 + h)). c) Find the slope of the graph at (2, f(2)). d) Find the equation of the tangent line to the graph at (2, f(2)). 18- 16- 14 12 10- 8- 6- 49...
Answer both and show work.
1y=fle) L-5. Given the graph of the function f(x) shown to the right-the same graph is - used for L-2. Identify any points where f(2) is not con- tinuous and explain why using precise mathematical statements in relation to how the definition of continuity is not sat- isfied. You may refer to work in L-2 rather than repeat it. L-3. Given the function g(2) defined piecewise below, determine each of the following values, showing clearly...
Please do the parts in the given order
tyā (x,y)メ(0,0) (x,y)= (0,0). if if 1 (d) Given the unit vector u-( find the directional derivative of f(x, y) at the 리지, ,- point (to,m) = (0,0), in the direction of the vector a. (e) Find the gradient of f(x, y) at the point (zo,o) (0,0) (c) Find the equation of the tangent plane to the graph of the function z -f(x, y) at the point (x,y,z) (1,0,0).
tyā (x,y)メ(0,0) (x,y)=...
Need answer all question and draw
Below is the graph of y= f'(x). Use the graph to answer the questions that follow. -4 -3 1. On what intervals is f(x) decreasing? Write your answer in interval notation. 2. What is the total change in f as x goes from 1 to 2? 3. At what value(s) of x does take on a local maximum? If there are none, write "NONE" in the answer space. 4. If f(-2)=-3, what is the...
Consider the polynomial
f(x,y)=ax^2+bxy+cy^2 (without using second derivative test) by
identifying the graph as a paraboloid.
***Graph at least 9 DIFFERENT
polynomials.
Show graphs to accompany actual
working. Would appreciate it dearly.
Quadratic Approximations and Critical Points Consider the polynomial f(x,y)+ ry+ c (without using the Second Derivative Tet) by identifying the graph as a paraboloid. 1. Graph f(x, y) for at least 9 different polynomials. (Specific choices of a, b and c.)
Quadratic Approximations and Critical Points Consider the...
5. Let f(x) = arctan(In x) for all x >0. A graph of y = f(x) is shown in the figure. (a) Find the formula for the derivative f'(x). Then explain how you can deduce from this formula that f is invertible. (b) Find the formula for f-1(x), the inverse of f. (c) What is the domain and range of f-1? (d) Sketch a graph of the function y=f-1(x). (e) Now determine the value of (F-1)(0) using your results from...
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