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1 6 at the point with X-coordinate 3. Find the For f(x) = the slope of...
Find the particular solution determined by the given condition. ds = 17t2 + 3t - 8;...
Find the particular solution determined by the given condition. ds = 17t2 + 3t - 8; s = 110 when t=0 dt The particular solution that satisfies the given condition is s =
Question 10 * 1 point Find the slope of the tangent to the graph of f(x)=x²...
Question 10 * 1 point Find the slope of the tangent to the graph of f(x)=x² + 3x² + x at its point of inflection. Oo oo
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to...
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function. g(x)-3 x-2| +4 What transformations are needed order to obtain the graph of g(x) from the graph of f(x)? Select all that apply. A. Vertical shift B. Reflection about the y-axis C. Vertical stretch/shrink D. Horizontal shift E. Reflection about the x-axis F. Horizontal stretch/shrink Choose the correct graph below. O C. O D. O A. ОВ. A V 40...
Consider the differential equation dy/dx = (y-1)/x.
Consider the differential equation dy/dx = (y-1)/x. (a) On the axes provided, sketch a slope field for the given differential equation at the nine points indicated. (b) Let y = f (x) be the particular solution to the given differential equation with the initial condition f (3) = 2. Write an equation for the line tangent to the graph of y= f (x) at x = 3. Use the equation to approximate the value of f (3.3). (c) Find the particular solution y...
At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) =...
At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) = e 3t sin(x + 2t). (a) At any point (x, t), the differential is df = e^(-3t)cos(x+2t)dx+(e^(-3t))(2cos(x+2t)-2sin(x+2t))dt (b) At the point (-1,0), the differential is df = cos(-1)dx+(2cos(-1))+3sin(-1)dt (c) At the point (-1,0) with dx = -0.5 and dt = 0.3, the differential is df = 0.97344 Note. You can earn partial credit on this nrohlem (1 point) Consider the surface xyz = 20....
3. Find the equation of the tangent line to the graph of f(x) = 3x" –...
3. Find the equation of the tangent line to the graph of f(x) = 3x" – 38x that is perpendicular to the line x - 2y = 6. Express slope and coordinates using exact (radical) form or if using decimal fractions round to at least 3 decimal places. You may leave your equation in point-slope form to save time. (4 points)
Find an equation of the line tangent to the curve at the point corresponding to the...
Find an equation of the line tangent to the curve at the point corresponding to the given value of t. 71 x= cost+t sint, y=sint-tcost;t=4 (Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numbers in the equation.)
Let f(x) = 2 + 5x2 – 2x3. (a) Find the slope m of the tangent...
Let f(x) = 2 + 5x2 – 2x3. (a) Find the slope m of the tangent line to the graph off at the point where x = a. ma (b) Find an equation of the tangent line to the graph off at the point (1, 5). y(x) = (c) Find an equation of the tangent line to the graph off at the point (2,6). y(x) = (d) Use technology to graph fand the two tangent lines in the same viewing...
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using t...
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...
Find an equation of the line with the given slope that passes through the given point....
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By = m=4, (7,7) The equation of the line in the form Ax+By = C is (Simplify your answer. Use integers or fractions for any numbers in the equation.)
Find the particular solution determined by the given condition. ds = 17t2 + 3t - 8; s = 110 when t=0 dt The particular solution that satisfies the given condition is s =
Question 10 * 1 point Find the slope of the tangent to the graph of f(x)=x² + 3x² + x at its point of inflection. Oo oo
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function. g(x)-3 x-2| +4 What transformations are needed order to obtain the graph of g(x) from the graph of f(x)? Select all that apply. A. Vertical shift B. Reflection about the y-axis C. Vertical stretch/shrink D. Horizontal shift E. Reflection about the x-axis F. Horizontal stretch/shrink Choose the correct graph below. O C. O D. O A. ОВ. A V 40...
At least one of the answers above is NOT correct. (1 point) Suppose f(x, t) = e 3t sin(x + 2t). (a) At any point (x, t), the differential is df = e^(-3t)cos(x+2t)dx+(e^(-3t))(2cos(x+2t)-2sin(x+2t))dt (b) At the point (-1,0), the differential is df = cos(-1)dx+(2cos(-1))+3sin(-1)dt (c) At the point (-1,0) with dx = -0.5 and dt = 0.3, the differential is df = 0.97344 Note. You can earn partial credit on this nrohlem (1 point) Consider the surface xyz = 20....
3. Find the equation of the tangent line to the graph of f(x) = 3x" – 38x that is perpendicular to the line x - 2y = 6. Express slope and coordinates using exact (radical) form or if using decimal fractions round to at least 3 decimal places. You may leave your equation in point-slope form to save time. (4 points)
Find an equation of the line tangent to the curve at the point corresponding to the given value of t. 71 x= cost+t sint, y=sint-tcost;t=4 (Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numbers in the equation.)
Let f(x) = 2 + 5x2 – 2x3. (a) Find the slope m of the tangent line to the graph off at the point where x = a. ma (b) Find an equation of the tangent line to the graph off at the point (1, 5). y(x) = (c) Find an equation of the tangent line to the graph off at the point (2,6). y(x) = (d) Use technology to graph fand the two tangent lines in the same viewing...
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By = m=4, (7,7) The equation of the line in the form Ax+By = C is (Simplify your answer. Use integers or fractions for any numbers in the equation.)
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