If f(x) = -4x³ - 5x² − 3x + 7, compute the first, second, and third derivative of f(x) - f'(x) = f"(x) = f""'(x) =

Q: Find the gradient of the function at the given point. w = x tan(y + 2), (13, 11, -7) Vw(13, 11, -7)=

A: I have solved step by step in detail.....gl through the solution.....remember the value  (4) under…

Q: eliminate  the arbitrary constant a and b: y= a+be^x

A:

Q: 3. Evaluate the following indefinite integ a) f dx 1 x ln(X)

A:

Q: 3. y = Ae2x cos(3x + B), where A and B are the arbitrary constants

A: To eliminate the arbitrary constants A and B in the following equation.y=Ae2x cos3x+B

Q: 1. Let y=f(x). = 4x² 4x+1

A: The function is given by fx= 4x24x+1 To determine: (b). The derivative of the function fx (c). The…

Q: 10. dy dx xev (a) y(0) = -2 (b) y(1) = 2.5 (0)

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

Q: If  f(x) = 4x2 − x3,  find  f ′(x),   f ″(x),   f ‴(x),  and  f (4)(x)

A: Topic- derivative of a function We are given, f(x) = 4x2 − x3 and we know thatddxxn=nxn-1

Q: 28. (1+x¹) dy + x(1 + 4y²) dx = 0, y(1) = 0

A:

Q: = = '1' (a) 21 = 6e-i (b) z2 = 21, (c) 23 (d) z4 = 21 + Z2, (e) 25 = 21 - 22. 2122, 2п 3

A: We have given some complex number problems in Euler's Form. We have find the real and imaginary…

Q: Find the directional derivative of the function f(x, y, z)=√xyz at the point (3, 2, 6) in the…

A: The given function fx,y,z=xyz We have to find the directional derivative at the point 3,2,6 in the…

Q: a. b. C. S e. sin ²0 S de cos²0 S dx x(x²+1) d. 0 cos(20 + 1 S 9dv 81-v4 x3 x2–2x+1

A:

Q: Find the 35th derivative (with respect to G) of y = 5cos (2G) Select one: O a. y'= -1.717986918x10¹¹…

A:

Q: The point 2 is in the range of the function given by f(x, y) = True False 2x² x² + y²

A: We can check whether the statement is true or false .

Q: Question 1 Given the following co-functions, find A: sec 41°=csc (11A+16) Blank 1 Blank 1 Add your…

A:

Q: The highway mileages of 147 cars are in a file named CARS2.+ These cars are 2003 models. Find the…

A: Mean Formula The mean formula is defined as the sum of the observations divided by the total number…

Q: Set f(x) = 1 7x³ + 3x + 2 . (1, 1/12) is on the graph of ƒ. Find (ƒ-²¹) (¹2). The point 1,

A: The solution to find the value of inverse of f(x) at 1/12 is as follow.

Q: Compute the first three derivatives of f(x) and then state the formula for the nth derivative of…

A:

Q: Compute the first-order partial derivatives of the function. 16x √x² + y² (Use symbolic notation and…

A: Given, z=16xx2+y2

Q: Graph y = sin x and y = [ sin x] together. What are the domain and range of sin x ]?

A: y=[sin x] is the greatest integer function of sin x.The domain of y=[sin x] is ℝ where ℝ=real…

Q: The tangent line to y = f(x) at (9,-10) passes through the point (6,-5). Compute the following. a.)…

A: Given query is to find the value of function and derivative at x = 9.

Q: 5. (x+1)y' - 2(x² + x)y = 0, when x = 2, and y = 1

A:

Q: I. Consider the following matrices: 2 7 B=-3 2 A = [5, 6] 2 61 -3 2 D=12²8³) -8 If possible,…

A:

Q: II TE [] # # # H # # I 1 10 OK E II I H II I # I #I HI T # I # I 1 # 5 10

A:

Q: Use the second derivative to find the intervals where f(x) = -10x³ +60x² is concave upward and…

A:

Q: The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change…

A:

Q: Solve the ff. Linear Equation: 33 a. (x³y³ + 1)dx + x³y² dy = 0

A:

Q: Find the tangent equation to the a function x²+4y²-8=0 which is parallel to x-2y=-8. x-2y + 8 = 0…

A:

Q: f6sin(x) cos(x)'dx.

A:

Q: When is it possible to compose one function with another? Giveexamples of compositions and their…

A: Composition of functions helps us to combine two or more functions into a new function.

Q: A line has the equation  y = 9x + 1. (a) This line has slope  ?. (b) Any line parallel to this…

A:

Q: 1. Find the area bounded by the given curves, axes and/or lines a. y²-3x+3= 0 and x = 4 b. y² = x,…

A: 1) Here we have to find the area bounded by the given curves, axes and/or lines. a) y2-3x+3=0 and…

Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

A: equation

Q: DIRECTIONS. Indicate the degree and determine the solution of the following equations. 1. 2(2x² +…

A: NOTE: Refresh your page if you can't see any equations. . the degree is the power to which the…

Q: a. f(x)=²x-2 g={(1,-1),(-1,1), (2,3), (-3,2), (6,2), (-2,0), (0,√3)} h(x) = √2x - 1 b. g C.

A:

Q: For the curve y = Inx, find the equation of a tangent line parallel to the line 3x-y = 5 *Note…

A: given curvey=ln(x)

Q: Identify the open interval(s) where f is concave up. [A] (-∞, -1) [B] (-∞, -3) U (-1,2) [C] (-1,00)…

A: for concave up , f'(x) is increasing For given graph , f'(x) is increasing on

Q: 10 -5 10 -5 Ау -5 OK EL X 10

A: Let's find asymptotes and domains.

Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

A: Please see the below picture for detailed solution.

Q: (a) cosh(sinh *(8))

A: U

Q: Evaluate: 1. lim [√x² + x − √x² + 4] = X→ +∞ 2. lim [(x²-In(x + 1)) cotx] -0-x

A:

Q: e the Chain Rule to compute the partial derivative. d -In (6u². + uv) = 0 du Orrect

A: Topic :- Application of derivatives

Q: The table shows the purchasing power of a dollar in recent years, with the year 2000 being the base…

A: We need to determine exponential equation.

Q: Simulate the solution of the given problem using Excel such that when the given four data points (x…

A: we use exel to fit the equation

Q: On the day of a child’s birth, a deposit of $P is made in a trust fund that pays 8.75% interest,…

A:

Q: y-values 6 8 7 6 5 4 32 1 If f(x) = f'(1) = g(x) h(x) ' g(x) 2 3 x-values then 4 Out y-values S 4 3…

A: To find the derivative of f(x) at x=1.

Q: The data provided is that for the depth of water in Cokato Creek, as measured during a day-long…

A: Here we have the depth of water in Cokato Creek, as measured during a day-long ainstrom. D(t) is a…

Q: 5. We know 6+ i and 4-√3 are roots of a 4th degree polynomial. Find the remaining roots.

A:

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A:

Q: Find the x-intercept(s) of the following function. f(x)=x² - 4x +3 Give your answer as ordered pairs…

A:

Q: Determining Whether a Linear Function Is Increasing, Decreasing,or ConstantDetermine whether the…

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