find the first derivative and solve it for x after setting it to zero. Substitute the x-values obtained as well as your endpoints into the original functions to observe the y-values. Only subs x-values that lie within the closed interval given.

Q: Let g(x)=x²+ex and let g²¹ be the inverse function a) I 3+e b1 ㅗ 3+3e c) 3+e

A:

Q: Let u(t) = 4t³i + (t² − 1 )j – 3k and v(t) = e¹i+ 9e¯¹j- et k. Compute the derivative of the…

A:

Q: est rate (compounded each year) t years after opening with $P is given by A(t) = P (1 + 100/…

A:

Q: Question Given the price-demand and price-supply equations below, find the producers' surplus at…

A: The objective of this question is to find the producers' surplus at the equilibrium price level…

Q: The amount of income tax, t, an individual owes is defined by piecewise function () and is based on…

A: The amount of income tax, t, an additional owes is defined by piecewise function t(i) and is based…

Q: Suppose the vector-valued function r(t)= (f(t).g(t),h(t)) is smooth on an interval containing the…

A: r(t)=<15+cost,3+sin20t,2t>t0=pi/2

Q: Question The graph of f(x) is given below. Select each true statement about the continuity of f (x)…

A:

Q: please answer c) d) and e) with steps

A: We need to find day of solstice.

Q: 1. The function shown in the graph satisfies lim f(x)=9, determine the appropriate values of X-6…

A:

Q: Use implicit differentiation to find dy/dx and then d²y/dx². Write the solutions in terms of x and y…

A: According to our bartleby expert guidelines only first three subparts are to be answered kindly…

Q: Determine r' (x) for r(x) = Provide your answer below: r'(x) = sin xex cos x using logarithmic…

A:

Q: In preparation for the NEXT problem, find the derivative of the SINGLE VARIABLE function. h(x) =…

A:

Q: Let f(2)=√4z² + 6z Determine the derivative of f. f'(z) =

A:

Q: The graph of f(x) is given below. Select each true statement about the continuity of f (x) at x = 3.…

A: The graph of  is given below. To select the true statement about the continuity of  at .

Q: ,11 h(x) = x¹¹ arcsec(x).

A: h(x)=x11arcsec⁡(x)h′(x)=ddx[x11sec−1⁡(x)]Product Ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: 15. Graph the function. y = log5 x 9 8 -7 6 65 A 3 2 -9-8-7-6-5-4-3-2-1 r -2 -3 -5 -6 -7 -81 -9 2 3…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: In ( If t(x) = In x 4 cos x 2x²+8x+6 t'(x) = find t'(x). Provide your answer below:

A: t(x)=ln[x5/4+8x+6)]

Q: Question sin What is y'(x) when y(x) = (4x³ + 6x)* ^? Enter an exact answer in terms of a natural…

A:

Q: When calculing the Laplace transform of the function f(t)=e^2t.sin(4t) is obtained as a result:

A:

Q: Write an equation for the ellipse. Type the left side of the equation in the box below. =1 *** COB 2…

A: The standard equation of an ellipse with a major axis parallel to the x axis and center  is

Q: Question Find the equation of the tangent line at the point (1, -3) to the curve defined implicitly…

A:

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. π/2 -…

A:

Q: 42. Find the work done by the force F = ei + (lnx)j + 3zk, where force is measured in newtons, in…

A:

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find the surface area of the part of the plane z = 2x - y − 3 that lies inside the - cylinder x² +…

A:

Q: (1) Consider the function f(x, y) = x³ - 2xy - y². (i) Verify that (0,0) and (-2/3, 2/3) are the…

A: Note:-Since you asked  multiple sub parts questions, according to our policy we can solve only first…

Q: Find, where y is defined as a function of x implicitly by the equation below. x³ x4y² = -2 Provide…

A: The given equation is; x3y2=-2

Q: Question Given the graph of f (x) below, what is the open interval(s) over which f'(x) is positive?…

A:

Q: Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 2¹, where t is given in…

A:

Q: a) find dy, and b) evaluate dy for the given value of x and dx y=x2lnx, x=1 dx=.01

A:

Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t2 + 400t dollars per day…

A:

Q: A photographer points a camera at a window in a nearby building forming an angle of 42 degrees with…

A:

Q: 5. You are planning to make an open rectangular box from an 24-cm by 45-cm piece of cardboard by…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the exact value of the expression. sin (35°) cos (55°) + cos (35°) sin (55°) sin (35°) cos…

A: To find the exact value of the following expression.

Q: Find the first four nonzero terms of the Taylor series for the function shown below. (1+x³)-1/4 The…

A:

Q: y = x у 10 9 8 7 6 5 4 3

A:

Q: C(x, y) = 28,000 + 50x + 20y + 0.5xy. ac ac ax ду culate and interpret and Compute the marginal cost…

A: The cost to manufacture x bicycles and y tricycles is given by the function,We have to find and…

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/hand ship B is sailing…

Q: The ACME manufacturing company makes widgets. Their fixed costs are $800 per month, while their cost…

A:

Q: A 10-ft-tall fence runs parallel to a wall of a house at a distance of 30 ft. Find the length of the…

A:

Q: 2. Find lim n→∞ N (e-(a/n) - (2a/n) + e -(3a/n) + e + . e-(na/n)).

A: To find the following limit.

Q: b) g(x)= arcsin(x²)

A:

Q: As you enter the spacecraft, you look to connect your computer. To your dismay, the controls are…

A:

Q: Calculate the following integrals with the one-slice trapezoidal method. Calculate to 3 digits…

A: Let, the given integral is    .The trapezoidal method formula where    .

Q: Calculate af ax af Əy = af af af af ax' ay ax (1,-1) ду f(x, y) = e0.9xy = ax (1,-1) af ay (1,-1)…

A: f(x,y)=e0.9xy

Q: Find the area of the parallelogram whose vertices are given below. A(-1,3) B(1,0) C(7,1) D(5,4) The…

A: The given points .The aim is to find the area of the parallelogram ABCD.

Q: Find the derivative of ƒ(x) = x³e².5¹. f'(x)

A:

Q: ) Rectangular bathtub has a fixed height of 10ft. The length of the bathtub is increasing at a rate…

A:

Q: The amount of daylight a particular location on Earth receives on a given day of the year can be…

A: We have to use the basic concept of slope or derivatives at a particular point

Q: 3 is given by f³√1+16x² dx. If the curve contains the point (1,5), which of the following could be…

A: