Using the limit definition of the derivative, find every value x where the function y = 1/ √x has a tangent line perpendicular to the line y = 18x

Q: Q2) (i) Find the binomial expansion of  (1+x)−2  up to and including the term in x2  as well as the…

A:

Q: If f(x) = 9³x² 48 √√√x 3, find f'(8). X

A:

Q: Find an equation of the line that passes through the given point and has the indicated slope m.…

A:

Q: Suppose the demand function for a product is given by the function: D(q) = -0.016q+ 40 Find the…

A:

Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x>4given  f(x) is differentiable at all point

Q: Preview Activity 10.4.1 Let f(x, y) = 6-2-², and let (To, yo) = (1,1). a. Evaluate f(x, y) = 6-2-y²…

A:

Q: r(1)=2 13. y'=xy³(1+x²)-1/2, y(0) = 1

A: given  y'=xy3(1+x2)-12  dydx=xy3(1+x2)-12dyy3=x(1+x2)-12dx

Q: ello!! You need to do these answers correctly!! The way you answer I can ONLY see half of the…

A: The formula of arc length is given as,s=∫0t|v(t)|dtAndL=∫abv(t)dt

Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

A:

Q: . Given that y = 3x - 7 is tangent to y = f(x) at x = 2, find the tangent line to y = xf(x) at x =…

A:

Q: The region R in the first quadrant of the xy-plane is bounded by the curves y = -6 sin(x), x = π, x…

A: The given region is: y=-6sin x,       x=π,    x=2π  and  y=0

Q: Given lim f(x) = 5 and lim g(x) = -1, evaluate: x-7 x-7 lim (g(x) In (4f(x) — 4)) = x-7 lim…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Give reasons for each of the following steps. Use the given list of reasons on the right and enter…

A: Please see the below picture for detailed solution.

Q: (b) g(x) = k, 3z²+16z+16 I+4 z I‡ -4. x = -4 k =

A:

Q: Find the first partial derivatives of the function. f(x, y, z) = x³yz² + 5yz =x(x, y, z) = = y(x, y,…

A: Given query is to find indicated partial derivatives.

Q: Use the shell method to find the volume of the solid generated by revolving the regions bounded by…

A:

Q: Given f(x) = 8x² sin x + 13x-7, find f'(x). f'(x) =

A:

Q: The profit (in dollars) from the sale of x infant car seats is given by P(x) = 90x - 0.025x2 -…

A: Question - The profit (in dollars) from the sale of x infant car seats is given by   P(x) = 90x -…

Q: Find the limit. (If the limit is infinite, enter '∞o' or '-co', as appropriate. If the limit does…

A:

Q: 5x чти У-7-00 &+ xh = (1) w!!

A:

Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

A: Given limit is limx→0+6sin(x)4ln(1+x)

Q: 5. dy dx du x-e-x y + ey 2

A: To solve the differential equation.

Q: 7. Find the point (a, b) on the graph of y = x³ - 3x² +4 where the tangent line is x - 3y = 1.…

A: given y=x3-3x2+4tangent line perpendicula to x-3y=1if two lines are perpendicular than there slopes…

Q: Suppose the speed of a car approaching a stop sign is given by v(t) = (t-20)², for 0 st≤ 20, where t…

A: Please see the below picture for detailed solution.

Q: 5 A 8 B

A:

Q: If f(x)=12pi^7, then what is f'(x) equal to?

A: We are given  f(x) = 12pi^7 derivative of constant is zero

Q: Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f…

A:

Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

A:

Q: 2. Find a vector equation and parametric equations for the line segment that joins the point P(2, 4,…

A: To find vector equation and parametric equation of line.

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A: To find a vector equation and parametric equation for the line which  passes through the point 7, 3,…

Q: 7. The strip below shows a bike path that is of a kilometer long. By reasoning with our definition…

A: The strip below shows a bike path that is 43 of a kilometer long. By reasoning with  the definition…

Q: The function h is given by h(x) = x5 + 3x - 2 and h(1) = 2. If h-1 is the inverse of h, what is the…

A:

Q: Find an equation for a circle with center at (5, 12) and a radius of 4. Make a sketch of the graph.

A: we need to find out the equation of circle with the given center and radius and also need to sketch…

Q: Write an equation of the line that passes through the points. Use the slope-intercept form (if…

A:

Q: S 2 x3 dx

A: Given :∫-2x3dx

Q: Given that f(-1) = -5 and f'(-1) = 4, find an equation for the tangent line to the graph of y = f(x)…

A:

Q: Current Attempt in Progress For g(x)=x² + 3x + 2, find and simplify g(4+h)- g(4). g(4+h)-g(4) =

A:

Q: (b) lim x+4+ 1- x

A:

Q: ENTERING INTERVAL ANSWERS For intervals of values, enter your answer using interval notation. Here…

A: Given query is to write the inequality in interval notation

Q: A graphing calculator is recommended. Use technology to sketch the graph of the function and find…

A: The given function fx=61+e1x. We have to sketch the graph of the function and find the limits…

Q: Suppose that f(x) = 18x²-3x. (a) f'(x) = (b) The slope of the graph of f(x) at x = 4 is (c) The…

A:

Q: K For the function, find the points on the graph at which the tangent line is horizontal. If none…

A:

Q: . Use Function Transformation to Sketch graph of the function below. f(x)=-3-√(2x - 4)

A: Given: fx=-3-2x-4 The parent function is of f(x): y=x

Q: Identify the surface. hyperbolic paraboloid O elliptic cone O hyperboloid of two sheets O ellipsoid…

A: Question 1) Identify the surface Given surface is eliptic paraboloid

Q: A sum of $900 at 8% interest compounded continuously will grow to V(t) = 900e0.08 dollars in t…

A: V(t)=900e0.08tdetdt=et

Q: Find the y-intercepts of the graph of the equation x² +9x + y² + 2y = 8

A:

Q: For what value of x does the graph of the function f(x) = x² – 3x have a horizontal tangent line?

A: f(x)=x2-3xfor horizontal tangent line slope is zero slope is df(x)dxdxndx=nxn-1

Q: 3. Evaluate the limits. Determine t∞ when appropriate. Be sure to show intermediate steps. (a) lim…

A:

Q: af Find and əx Əf dy 2 f(x,y) = √/2x² + y²

A: (1)  f(x,y)=2x2+y2for ∂y ∂x assume   y is constant ∂ ∂x(xn)=nxn-1∂ ∂x(x)=12x