Find the critical points of the following function. f(x) = 9x 2 x² +81 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The critical point(s) occur(s) at x = ... (Use a comma to separate answers as needed.) B. There are no critical points.

Q: Consider the following. the volume of the solid that lies within both the cylinder x² + y² = 25 and…

A:

Q: Let f be a function defined as follows: f(x) = 2.3-2 if x 3. if x > 3. x-3 What type of…

A:

Q: PTT/5 sin¹ (5x) dx =

A:

Q: An object is put outside on a cold day at time t = 0. Its temperature, H = f(t), in °C, is graphed…

A: Given H=f(t) it represent the temperature at time t

Q: Ο 16 Σo (-4)*2 (-1)"2n 4"+2 το 2n=0. που Σ 16 =0 (-1)" ²n 4+2 Σo (4)"an 16 Σño (4)"a2 mari Find a…

A:

Q: The indefinite integral of the sum of two functions is the sum of the indefinite integrals. A. True…

A: we have to choose true/false above 3 sub part The indefinite integral of the sum of two functions is…

Q: True or False: The expression x + 5 is a factor of x4 + 3x³ - 42x² - 6x +80. A B True False

A:

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given that  a spherical planet with a radius of 3 units and let its origin is centered at (0 , 0, 0…

Q: Sketch the solid whose volume is given by the integral below and evaluate the integral. -π/6 •π/2 9…

A:

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A:

Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloids y…

A: Given paraboloids : y=x2+z2  , y=32-x2-z2

Q: Find an equation of the tangent line to the curve at the given point. y = 9ex cos(x), (0,9) y =

A: Given query is to find the equation of the tangent.

Q: (g) Graph the position, velocity, and acceleration functions for 0 ≤ t ≤ 6. O 30 20 -10 10 O 30 20…

A: Given that , ft=t3-9t2+24t

Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: Derive the volume formula of the cone by integration. In doing so, (a) find the equation of the line…

A:

Q: 8. Complete two iterations of Newton's Method for the function f(x) = x² −7, using the initial guess…

A: Newtons method to find solution

Q: Find the open intervals where the function f(x)= In (x²+25) is concave upward or concave downward.…

A:

Q: A woman at a point A on the shore of a circular lake with radius 2 miles wants to arrive at the…

A: Given The given diagram is Radius of the circular Lake=2 miles Waking rate=4mi/h Row a boat=2 mi/h

Q: Use the limit definition of partial derivatives to find fx(x, y) and f(x, y) f(x, y) = x² - 2xy + y²…

A:

Q: For the function f(x)= of f. x-3 x-7' find f''(x), the third derivative of f, and f)(x), the fourth…

A:

Q: 34. [ 22+x (4x³ + 3x²)² dx

A: Given query is to find the integral.

Q: Is this fully simplifed ?

A: Find y' for the function y=6x-3x2+7x.

Q: Find a plane through the points (-5,-6,2), (2,5,7), (-6,-4,6)

A:

Q: Let D be the region under the curve y = In √ and above the x-axis = e. Find the volume of the region…

A:

Q: Use the table to evaluate the following limits: f(x) 4 -23 lim f(x)- lim f(x)= lim_ f(x)= 45 Submit…

A:

Q: Evaluate the definite integral S²₁(9ti +t³j+t¾ k)dt = [[ 0 ]i] ¹₁ + [[ 0 ] i] ¹₁ + [ 0 ]i] ¹₁ = 0

A:

Q: A projectile is launched straight up in the air. Its height​ (in feet) t seconds after launch is…

A:

Q: Problem #3: Find the work done by the force F = 9xy i+ 12y2j acting along the piecewise-smooth curve…

A:

Q: Estimate the value of each logarithm between two consecutive integers. Then use a calculator to…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find dv/dx by implicit differentiation, given that -x^2/v^2-cos(3v)=-8

A:

Q: Use l'Hôpital's Rule to find the limit. t³-4t+15 lim t→-3 t²-t-12

A:

Q: Find the indicated derivative and simplify. 6x - 3 2 x + 7x y' for y=

A:

Q: The temperature at a point (x, y, z) is given by -x²-3y²-72² T(x, y, z) = 300e7 where T is measured…

A:

Q: Find the equation of the line passes through (-2,3) with y intercept 2/3 of the x intercept.

A: Given equation of line passes through ( -2 , 3 )  y intercept 2/3 of the x intercept

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Draw the line with an x-intercept of -7/4 and a y-intercept of 3/2

A:

Q: A company produces computers. The demand equation for this computer is given by p(q)=−5q+6000. If…

A:

Q: dx 2√x+3 +3 S.

A:

Q: Evaluate the indefinite integral +C Preview My Answers Submit Answers You have attempted this…

A:

Q: Use the equations m = (Σ*k) (Σγκ) - η Σ×κυκ -n and b = n (Ek-mΣxx) with all sums running from k = 1…

A:

Q: Three runners compete in a 100-meter hurdle race. The graph depicts the distance run as a function…

A: Observe the given graph and answer each part.

Q: Find the eigenvalues and a corresponding eigenvector to the matrix: -2 3 A=(7²8). 10

A: Form the characteristic elation and solve to get eigenvalues and the corresponding eigenvector.

Q: 2. Find the area of the region between the graphs of ƒ(x) = 3x + 8 and g(x) = x² + 2x + 2 over [0,…

A: Given graph:-

Q: A street light is mounted at the top of a 15ft tall pole. A man 6ft tall walks away from the pole…

A:

Q: Find all critical points of h(t) = t³/4 - 2t¹/4 and identify them as local maximum points, local…

A:

Q: The demand for a new computer game can be modeled by p(x) = 55-4 In x, for 0≤x≤800, where p(x) is…

A:

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A:

Q: Find the volume of the solid whose base is the region in the xy-plane that is bounded by the…

A:

Q: Let an and Σ n=1 n=1 Do NOT assume the series are positive (they may or may not be positive). Which…

A: