f(x) = 2x³ 3x² - 36x +14 use f'(x), find maximum point. - O (-2, 58) (3, -67) (0, 0) O none of the above

Q: The graph of a function is given. Use the graph to estimate the following. (Enter your answers using…

A: A graph of the function is given, we have to find its domain, range, and increasing and decreasing…

Q: Find f.  f'(t) = t + 1/t3,    t > 0,   f(1) = 6

A: Given  f'( t ) = t + 1t3

Q: 2 få 8xclx o x4-8x²+32 3. f= 1/4 (1 + sinx) dx + 4. Find y if f (2x+7)dx य (1+ sinx) dx = In/ x² +…

A: (2). The given integral is: ∫02 8xx4-8x2+32dx

Q: Find the vectors T, N, and B at the given point. T = N = B = r(t) = (2 cos(t), 2 sin(t), 2…

A:

Q: Let a = 7i+j and b - 67 - 7j. Find a - b .

A:

Q: Find the volume of the solid obtained by rotating the region bounded by Y = 8x², x = :1, and y 0,…

A:

Q: Suppose that f(x, y) = z²y. The directional derivative of f(x, y) in the directional (-1,-2) and at…

A:

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 2.3*,…

A:

Q: avaries directly as the square of band inversely as the square of c. If a = 89 when b = 6 and c = 6,…

A:

Q: Evaluate the limit using L'Hospital's rule if necessary lim (1 + 4) * I→∞

A:

Q: Show that the lines L₁ : x = 5 – t, y = 2t, z = 1+t and L₂: x = 1+2t, y = 3-4t, z = 5 - 2t are…

A:

Q: Find a parameterization for the circle (x-6) + y² = 9 starting at the point (3,0) and moving…

A:

Q: 15. The half-life of carbon-14 is 5770 years. Assuming you start with 100 percent of carbon-14, what…

A: Solving the following problem

Q: 2. Find the directional derivative of p(x, y, z) = x²y z + 4 x z² at the point (1, -2, -1) in the…

A: We have to find the directional derivative of the given function.   According to our guidelines we…

Q: Let y = (x² + 5)5. Find the differential dy when x = 3 and dx = 0.5 - Find the differential dy when…

A:

Q: Use the theorem given below to find the curvature of r(t) = √62²i + 2tj + 2t³ k. k(t) = Theorem: The…

A:

Q: 1. S dx 2 3x +12x+15

A: Formula to be used I=∫1x2+a2dx=1atan-1xa+c

Q: The domain of the function h graphed below is all real numbers, and all of its extreme values occur…

A: Here three points (1,2) , (0,-2) and (-2,-1) where we can draw three tangents to the graph which are…

Q: π 6x Find the linearization L(x,y) of the function f(x,y) = eº cos (7y) at the points (0,0) and 0,-…

A:

Q: Consider the statement The set of vectors 4 3 -3 0000 5 4 -3 -4 5 5 2 -3 -5 is linearly dependent.…

A:

Q: The region bounded by f(x) = −1x² + 6x + 27, x = 0, and y = 0 is rotated about the y-axis. Find the…

A:

Q: A function and the graph of a feasible region are given. f = -x + 5y 12 8 y (5,10), 4 8 (10,6) 12 x…

A: Maximum and minimum values of the function can occur at corner points.

Q: Find the area of the surface obtained by rotating the curve y = √2x from x = 0 to x = 7 about the…

A:

Q: Q1 :  a) For the function f(x )=x^3 −12x, its local maximum is ____?____ which occurs at (___? __ ;…

A: The given function is: fx=x3-12x   As we know that, The Power Rule: ddxxn=nxn-1

Q: 6. Use the Mean Value Theorem to find all values of c in (6, 14) such that f(b)-f(a) f'(c) = for…

A:

Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1) Find the equation of the normal plane…

A:

Q: Find the absolute maximum and minimum of the function on the given domain. f(x,y)=2x² + 7y² on the…

A:

Q: For each cost function (given in dollars), find the cost, average cost, and marginal cost at a…

A: Given : a. at q = 1000 Average cost = 128000/1000 = 128 dollars / unit   Marginal cost for q=1000

Q: "MixtureA tank contains 100 gallons of a solution composed of 70% water and 30% alcohol. A second…

A:

Q: Find the scalar equation of the plane containing the line: 1₁: [x, y, z] = 1₂: [x, y, z] = [2, 6,…

A: The solution is shown below-

Q: In which limits below can we use L'Hospital's Rule?

A:

Q: Use linear approximation to approximate √81.2 as follows. Let f(x) √. The equation of the tangent…

A:

Q: Use spherical coordinates. Evaluate III z dv, where E lies between the spheres x² + y² + z² = 4 and…

A:

Q: Obtain the general solution of the following differential equations. 4. x(x² + y²)²(ydx -xdy) +…

A: Given differnetial equation:- xx2+y22ydx-xdy+y6dy=0

Q: Write an iterated integral for a. vertical cross-sections, b. horizontal cross-sections. da dA over…

A: We have to find the  Iterated integral for vertical cross section and horizontal cross section.

Q: Find all the first order partial derivatives for the following function. f(xy) = 1 vx2 + y2 O A f Əx…

A: f(x,y)=1x2+y2f(x,y)=(x2+y2)-12 ∂ ∂x(xn)=nxn-1

Q: Find the volume of a pyramid with height 29 and rectangular base with dimensions 3 and 8 using…

A: Let h be the height of the pyramid, and l and w be the length and width of the pyramid. Note that,…

Q: Find the components of the vector - 4c based on the vector shown.

A: The magnitude of the vector in x direction is represented by i component. The magnitude of the…

Q: Let a = (0, -4, - 3) and b -4, -3) and 6 = (-2, 1, 0). Find the angle between the vector (in…

A:

Q: Question 2. Consider the following linear programming problem. Min 7.505 + 9.00P s.t. 0.105 0.065 5.…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity use the variables S=x and…

Q: Form a partial differential equation by eliminating the arbitrary functions from the relation z =…

A:

Q: At time t=0, a particle is located at the point (9,1,6). It travels in a straight line to the point…

A:

Q: Write a rational function whose graph is shown below. -1 + 2 0 -2- T 1 1 + 2 F L 3 + 1 (4,0) 4 1 -10…

A:

Q: The distance that a free falling object falls is directly proportional to the square of the time it…

A:

Q: Solve this linear programming problem using graphical methods. Restrict x ≥ 0 and y ≥ 0. Minimize g…

A:

Q: Find the volume of the solid that lies under the elliptic paraboloid x/4 + y²19 21 and above the…

A: We have given paraboloid x24+y29+z=1 and rectangle [-1, 1]×[-2, 2]

Q: Consider the following scenario. Suppose you start at the point (0, 0, 8) at t = 0 and move 10 units…

A: Note : We have to solve gien sub parts.

Q: Find the investment needed today to make $ 100,000 in 5 years with a simple interest rate of 8% per…

A: Given data÷ A=$100,000 t=5 years r=8% =0.08 per year

Q: Use calculus to find the area A of the triangle with the given vertices. (0,0) , (4,3) , (1,8)

A: