Find the open intervals on which the function f (x) = −3x2 + 2x + 4 is increasing or decreasing. Note: Use the letter U for union. To enter ∞, type the word infinity. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: decreasing: Find the local maximum and minimum values of the function f(x) = -3x2 + 2x + 4 Enter your answers in increasing order. At x = there is At x = , there is

Q: Consider the following. Find g'(x). g'(x) = g(x): = In(x) - 1 In(x)² X In(x) Solve g '(x) = 0 for x.…

A: NOTE: Refresh your page if you can't see any equations. . the derivative of the function already…

Q: 3. If x and y are two positive, real numbers whose sum is equal to 10, then what should I and y be…

A:

Q: tt (seconds) 0 2 4 6 8 Velocity (ft/sec) 0 2 8 14 30   Shown in the table is the velocity of a car…

A:

Q: Use the definitions listed in Section 6.1.2 with f(x, y, z) = x² + yz, F(x, y, z) = (xy, yz, xz),…

A:

Q: Consider the following graph. y -5 4 3 2 (x, y) = 1 (x, y) = 1 2 3 4 5 6 (a) Find the interval(s) on…

A:

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = = t√ 64 -…

A:

Q: A woman 6 ft tall is standing near a street lamp that is 13 ft tall, as shown in the figure. Find a…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. X x²4 [0, 5] +…

A:

Q: Jump to level 1 Order the functions by growth rate. a(x) = ln(x) + ln(x) c(x) = 55x +55x³ Select…

A: Given   Order the functions by growth rate. a(x)=ln x+ ln x b(x) = log₂(x) + 65x! c(x)= 55x + 55x3…

Q: 4 The volume of a cantaloupe is approximated by V=3. The radius is growing at the rate of 0.5…

A:

Q: Find the area of the region under the curve y = f(x) over the indicated interval. 6 1) 5/2 i f(x): =…

A:

Q: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

A: Topic = Area

Q: evaluate to dx dx integral 540

A:

Q: Suppose that in the interval 15 ≤ x ≤ 20 you know that the graph of y = f(x) rises as you move from…

A: The given data is: y=f(x), 15≤x≤20 The graph of y=f(x) is concave down.

Q: Find y' and y". y = ( ² + √x) ³ 3

A: The given function y=2+x3. We have to find the derivatives y' and y''.

Q: Use the additivity of moments to find the COM of an ice cream cone consisting of a semicircle of…

A:

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x)=x²-x-In(x) (a) Find the…

A:

Q: A property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The…

A: Given that, the fencing next to the road costs 5 dollars per foot. The fencing for the other three…

Q: Evaluate the triple integral. 4x² dv, where T is the solid tetrahedron with vertices (0, 0, 0), (1,…

A:

Q: Fill in the missing values such that the final term is pulled out of the summation. 9 Σ i=1 = Ex 5-1…

A: To fill in the missing values such that the final term is pulled  out the summation. ∑i=19 i2=∑i=1?…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: 10) f(x) = -2. -8 -6 4 -2 2 -10 -12 +16 +18 x + 1 +1 2 4 6 x

A:

Q: J exp (x+3) dr

A:

Q: - 2 sin(1-1) inches per hour, where t represents hours since 12 a.m. The water level of a certain…

A:

Q: n=1 4n² + n-3 12n6 - n³ +8n 3

A:

Q: A container of hot liquid is placed in a freezer that is kept at a constant temperature of 20°F. The…

A: Given that , Constant temperature T0=20°F Initial temperature of liquid = 160°F How much longer will…

Q: Find the absolute maximum f(x, y) = xy² + 1, absolute maximum value absolute minimum value and…

A: Given function:- fx,y=xy2+1

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A:

Q: Give an example of a:) two independent events and b.) two dependent events.

A: Event: An event refers to a specific outcome or occurrence that can happen in a particular situation…

Q: So what happened to the 1/2 in front of the ln(x^2)

A: I understand what you are asking .

Q: f(x)= In(2+ sin(x)), 0≤x≤ 2x Find the interval(s) on which fis concave up. (Enter your answer using…

A:

Q: Time spent running (minutes) 0 15 30 45 60 75 Speed (mph) 11 9 7 5 5 0 Shown in the…

A:

Q: Graph the system of inequalities. x≤2 y≥3-3x Use the graphing tool to graph the system of…

A: x≤2 line x=2     y≥3-3x draw line y=3-3x x y 0 3 1 0 check for orgin y≥3-3x0≥3-3(0)0≥3…

Q: 2

A:

Q: 11) In the generic version of the exponential function, what do the parameters a, b, c, and d do to…

A: We need to write down about the parameters a,b,c and d.

Q: A hot-air balloon is 120 ft above the ground when a motorcycle (traveling in a straight line on a…

A: Given that , dxdt=66 ft/secdydt=12 ft/secdzdt=?

Q: Next Find the volume of the solid bounded by the paraboloids z = −6+3x² + 3y² and z = 7 - 2x² – 2y²

A:

Q: A circle is growing, its radius increasing by 4 mm per second. Find the rate at which the area is…

A:

Q: Evaluate the line integral, where C is the given curve. √xy y = 2t, C xy ds, C: x = t²₁ 0 ≤t≤ 1

A:

Q: Find the first five partial sums of the given series and determine whether the series is convergent…

A: On solving the series we by expressed the its nth term we will find the convergence and the sum of…

Q: 39. y = x + x=1 (x > 0)

A: We can solve the given problem by using the first derivative test.

Q: (Q2.) Solve the following. 1. Verify that y = e2 is a solutions of the following differential…

A: Please see the below picture for detailed solution.

Q: find f"(x) (secard, dermative) → Xx+135 using quotient rule.role the 2

A:

Q: Grade A and Grade B) in each department. In department 1, Grade A and Grade B workers are paid $14…

A: As per our guidelines we are supposed to answer only three subparts of a question. So first three…

Q: Find the volume of the region bounded above by the surface z = 9-y² and below by the recta 0≤x≤5,…

A:

Q: 7) 1 ƒ(x) = — - - 3² - 1 3 -6 2 Ay 18 16 14 12 10 8 61 2 2 6 x

A: Given function:- fx=13·3x-1

Q: Solve the system of equations by using the inverse of the coefficient matrix of the equivalent…

A: To solve the following system of equations

Q: 5. Let D be the planar region that is inside both polar curves r = 1+ cose and r = 1+ sine, but is…

A:

Q: ist

A: Given Graph:-

Q: dy Compute if dx y = = (e²+7³) cosh5 (ln x) (π + e)e²+ cot-¹(5x²)

A: