Find the first and second derivatives of f(x). Simplify your answer using positive fractional exponents. f(x)=-3x+28√//E f'(x) = | f"(*)=

Q: For the function f whose graph is given, state the following. (If you need to use -∞ or co, enter…

A:

Q: The curve is known as the Folium of Decsartes. In 1638 the famous philosopher, diplomat, soldier and…

A: The given curve equation is

Q: Determine whether the equation is exact. If it is exact, find the solution. O O 8 2e³ycos y + y² 8 O…

A:

Q: Solve the IVP. 1. (sin x) y' = (cos x) y + 1, y(7) = 0

A:

Q: Find the following matrix product, if it exists. 8 10 *][:] 01 3 2 9 - Select the correct choice…

A:

Q: Use the disk/washer/shell method to set up an integral that finds the volume. Use the shell method…

A: If the region is rotated by the y-axis or a line parallel to y-axis, then the volume by desk method…

Q: What is the gradient of f(x,y,z) = x^2 + y-3z^3

A:

Q: Let the demand function for a product be given by the function D(q) == 1.6q+ 220, where q the…

A: Given demand function, D(q)=-1.6 q+ 220.Given fixed cost of production for the item is $3000 and…

Q: Find all solutions of the following equation in the interval [0, 2π).    sin^3x=sinx

A:

Q: identify whether it's a VSDE (Variable Separable DE), HDE (Homogenous DE), or EDE (Exact DE). 1.…

A:

Q: Find the given limit. lim (-x² + 8x-5) X→-2 lim (-x² +8x-5) = 5 (Simplify your answer.) X→-2

A: Just I have used the limiting value at the place of x in the function and then calculate it.

Q: two sides of a triangle A and B have lengths 10 meters and 13 meters. the angle between these…

A: In Triangle ABC. a, b and c are sides of triangle and θ is angle between AC and AC side . Than,c2 =…

Q: 7. f(x) = ex (1) lim f(x)= (2) lim f(x)= of $ 8 2- (1) lin (2) (a (3) (

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Consider a population p of field mice that grows at a rate proportional to the current population,…

A:

Q: Find the general form of the function that satisfies A(t)= dt = 2A,

A:

Q: In 2004, an art collector paid $123,963,000 for a particular painting. The same painting sold for…

A: To find out the exponential growth rate and also the exponential growth function.

Q: USE INTEGRATING FACTORS II. Find the Particular solution indicated. 28. y' = x³ 2xy; when x = 1, y =…

A:

Q: Əw ər Find when r = 5 and s= -5 if w= (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r + s). Əw ər = |r =…

A:

Q: Use implicit differentiation to find dy/dx and find the slope of the curve at the given point xy=7 ;…

A:

Q: Answer these following For B try by first using properties of integrals A Sh(x)dx = 214. BS₁,…

A:

Q: Letf, g be functions. Suppose we know that ƒ(−6) = 4, ƒ' (−6) = −4, g(−6) = −4, g′(−6) = −3. Using…

A: The given function and derivative values,.The aim is to find the value of  where .

Q: Evaluate cos³ (72) sin(7x)dr / COS³ + C

A:

Q: 20. C. All real numbers Find the domain of the function. f(x) = 3 X-6 OD. {y ly 20}

A:

Q: Find all values of a such that = 0 where y = dy dx x -x+2 If there are more than one such a-values,…

A:

Q: Let f(x) = 2x - 1 3x + 2 a. Find the domain of the function. b. Find the y-intercepts, if any. c.…

A: By the answering guidelines of Bartleby, we can answer only first three subparts, plesase post other…

Q: Find the derivative of the following function. 1 2 f(x)=7x634x- f'(x) = 5

A:

Q: Find the derivative of g(x) g(x) = 18x6 - 20x² +6

A:

Q: Solve the following system of equations by using the inverse of the coefficient matrix if it exists…

A: The system Ax=b is,The matrix A is

Q: For the following trajectory, find the speed associated with the trajectory and then find the length…

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

Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 9. y' = csc x - y…

A:

Q: Use the Point-Slope form of a straight line to find the equation of the line which passes through…

A:

Q: Given an acceleration vector, initial velocity (uo,Vo,wo), and initial position (Xo Yozo), find the…

A:

Q: 2 The dimensions x and y of an object are related to its volume V by the formula V = 6x²y. dy a. How…

A:

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A:

Q: 16 12- 4 8 12 16 20 eet above the ground (see figure). (a) When he is 10 feet from the base of the…

A:

Q: Ex 3.7.3: Differentiate each equation. 2x a) y = e²x (2x - 7)5

A: Given Function for differentiation is given as follows Chain Rule formula is given as follows

Q: XPXV!(*2) U!S l/m O

A:

Q: If 320, 240, 180, ... are the first three terms of a geometric sequence, then the value of the…

A:

Q: (a) Use the fact that dtan to find a Taylor series for tan-1 x. dx (b) Using the Taylor series you…

A:

Q: the following matrix product, if it exists. 0-50 4 -4 4 4-5 2 0 -50 4 -4 4 -2 -2-5 ct the correct…

A: Given Matrices is as follows

Q: Determine the derivative of the following function. f(x) = (x⁹ +5)8 f'(x) =

A:

Q: Find the particular solution of the differential 2y-x dy equation: when x=2. y + 2x/ dx = 1 given…

A:

Q: Find the general solution of the given differential equation. dy X - y = x² sin(x) dx y(x) = Give…

A:

Q: Evaluate the integral using the following values. 6 6 ["x³ dx = 320, [°x dx = 16, ["dx = 4 b [kf 6…

A:

Q: Which of the following statements regarding the sequence 2, 4, 7, 11, 16, . . . is correct? • The…

A:

Q: A function g is given. Identify the parent function. Then use the steps for graphing multiple…

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics. ​ vertices:…

A: To find the standard form of the equation of the ellipse with the given characteristics.Vertices:…

Q: Find the derivatives of the following. 1. f(x) = 4x³ + 5x² - 7x 2. h(x) = 2x4+7x x² 3. y=x2/3+2x5/4…

A:

Q: A mining company estimates that the marginal cost of extracting x tons of copper ore from a mine is…

A: Given that a mining company estimates that the marginal cost of extracting x tons of copper ore from…

Q: 6- x - x² if x ≤ 4 if x > 4 2x - 3 Calculate the following limits. Enter "DNE" if the limit does not…

A: we are given the piecewise function and we need to find out the limits given.