What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

Q: (2x + 3)y' = y + √2x + 3, when x = -1, y = 0

A:

Q: Use logarithmic differentiation to find dy/dx. y=x*-2, x>0 dy dx II Submit Answer

A:

Q: limit, if it exists. 5X +8 x--4x - 7 ree of the numerator is equal to equal to the degree of the…

A:

Q: U Find the point on the line -3x + 3y - 3=0 which is closest to the point (-2,-2). Answer is

A: Line equation is -3x+3y-3=0 The point is (-2,-2) The point on the line which is closest to this…

Q: -x+3 Answer the following questions, given the equation y = -2 (²) a) Graph the function using a…

A: Given: y=-214-x+3+1

Q: Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile…

A:

Q: For Questions 1-3, use the differential equation given by y = x, y dy xy dx y > 0. 3. Find the…

A:

Q: Let f(x) = x³ + 3x² - 24x + 18. (a) Use the definition of a derivative or the derivative rules to…

A: Function

Q: 7. The value of a STOCK is modeled by the function : y = -40Cosx + 120 X=0 corresponds to January 1,…

A:

Q: III. Let g be defined by the equation g(x) = dt t²-1 Show that g'(x) = secx.

A:

Q: Consider the function f(x) = 7 - 2x² on the interval [-2, 6]. Find the average or mean slope of the…

A:

Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: Consult the figure. To find the length of the span of a proposed ski lift from A to B. a surveyor…

A: Given: AC=1600 feetm∠DCB=15°m∠DAB=25° Now, In △DCB,     tan 15°=BDDC⇒tan 15°·DC=BD⇒tan…

Q: Suppose a certain baseball diamond is a square 70 feet on a side. The pitching rubber is located…

A:

Q: The derivative of the function f is defined by f'(x) = (x² + 2) sin (2x − 2). If ƒ (2) = 7, what is…

A: answer is in next step. please give a like!!

Q: Complete parts a through c for the function below. f(x) = 2 sin 3x a. Find the first four nonzero…

A: Given; f(x)=2Sin3x.

Q: 1 8. The equation of the image when the line y = x + 1 is translated through (3,-1) is? 1 a. y = x +…

A: Please see the below picture for detailed solution.

Q: 10. For the position function s=313-72-2t,t> 0, choose the correct answer for 1=2. a) Is s…

A:

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship…

A:

Q: Find the limit. 54) lim (lnx)/x X→∞

A: We need to find limit.

Q: Given that lim f(x) = 0, lim g(x) = 0, lim h(x) = 1, lim p(x) = ∞, lim q(x) p1a z-G z-a 2-a z-a f(x)…

A:

Q: Consider the function f(x) = 3 on the interval [3, 7]. (A) Find the average or mean slope of the…

A: Solution ) a) mean slope = (f(b) - f(a)) / (b - a ) = (f(7) - f (3)) / ( 7 - 3 ) = { 1/7 - 1/3 ) / 4…

Q: Write the equation r+r(4 sin 0-4 cos 0) = 0 in Cartesian coordinates and identify the corresponding…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: To find the absolute maximum and minimum values of the function over the indicated interval, and to…

Q: Use an appropriate test to determine whether the following series converges. 8!!! Σ 9 3 k=1 ³√k…

A:

Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

A:

Q: Consider the function f(x) = 12x³ + 60x¹100x³ +5. For this function there are four important…

A: Here we have to find the extrema.

Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

A:

Q: Consider the function f(x) = 2x² - 2x +3, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: Use the graph to solve the such a problem to find the absolute extrema.

Q: Evaluate fs 2 ds a. 2(sln2 - 1) (In2)² b. 25 (sln2 - 1) (In 2)2 c. 2² (² + 1) 2 d. 25 * (12-1)

A: To evaluate the given integral

Q: Use a graphing utility to complete the table and estimate the limit as x approaches Infinity. Then…

A: The given function is fx=12x9x2-8

Q: Find the volume of the solid generated by revolving the region about the y-axis. 3π 4 ‚ x = 0, y = -…

A:

Q: 9x |_the_r-ne S 9x - - 9xdx

A:

Q: The graph of g' is given below: W Notice this is the graph of the derivative of g not the graph of g…

A: We have to find the value of x where graph positive, negative, zero or undefined

Q: Show the connection between the slope of a tangent of a function at a given point and its derivative…

A:

Q: Use l'Hopital's rule to find the limit. (√x² + 4x - x) 51) lim X→00

A: Given; Limx-infinity [sqrt(x2+4x) -x]. Repost the next question.

Q: y= e2x+1 e-1

A:

Q: The surfaces p = 3 and 5, p = 100° and 130°, and z = 3 and 4.5 identify a closed surface. (a) Find…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 0px + xp (xxx)

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given  C'x = 3x2-6x;  C0=3,000.

Q: Using the Runge-Kutta method of order 4, find y for x = 0.1, 0.2, 0.3 given that dy/dx = xy + y²,…

A:

Q: 1. Find the Taylor series for f(x) = cos x centered at 75 a = . Express your answer in 4 sigma…

A:

Q: Alden works in the city and lives in the suburbs with Nikka. Every afternoon, Alden gets on a train…

A: We need to determine the time Alden walks.

Q: Plot the point LO T given in polar coordinates, and find other polar coordinates (r.0) of the point…

A:

Q: Jonathan enjoys gardening. The east side of his house is 45 units in length. He can put 30 flowers…

A:

Q: Use the Limit Comparison Test to determine convergence or divergence. 3n²+ n=1n²+5n²-7 ∞ Σ Select…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

A:

Q: ← Evaluate the following integral. S z+2 z(z²+25) Can partial fraction decomposition be used to…

A: Here we have to find the integral.

Q: A company manufactures mountain bikes. The research department produced the marginal cost function X…

A: We can solve this as follows:

Q: Use the substitution formula to evaluate the integral. fin-√3/22 c2x dx 1 + e4x 28) 0

A: