let fx= 2x^3-x^2-12x+1 find the critical numbers of fx, determine the location of the relative maximum of

Q: Most observers object to the pay gap when top CEO pay is tied to performance. a) True ) b) False

A: Given statement is - most observers object to the pay gap when top CEO pay is tied to performance

Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A:

Q: [(x+1)e(x²+2x dx

A: The given integral,         ∫x+1ex2+2xdx

Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)= 5t+10t+1

A: Given f(x)= 5x2-4

Q: 2. Find the square roots of the complex number: Z = 3+4√7 i

A: We have to find roots of given complex no.

Q: 7.(a) f(x) tan (In x) + 52 7.(b) f(x) = log2 (tan r) + In (¹)

A:

Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given statement: If the vectors a and b are such that a=kb where k is apositive scalar, then the…

Q: Refer to functions m and q. Evaluate (qm) (x) and write the domain in interval notation. Write your…

A:

Q: x³x² j - 7x + 13 x² - x - 6 -d.x

A: To evaluate the integral.

Q: let (5,-7) be a point on the terminal side of 0

A:

Q: By using partial method solve [ 2x² cos x dx

A:

Q: 1 r+5√√x+6 dr

A:

Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin(x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: Given the functions: f(x) = x³ - 2x g(x) = √2x h(x)=2x-1 Evaluate the function (gof)(x) for x = -3.…

A:

Q: 13. Σ n=0 + 1 20 (−1) (-1)") 5"

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

Q: Find the absolute extremum, if any, for the following function. f(x) = 4x+ -7

A:

Q: 2 1 Lotes So I+ y² xyer² 0 1+ 0 Evaluate Select one: ○ In 2 O ln 2 O 1/4 ○ In 2 O 1/2 O 1 -dydx.…

A:

Q: • (√x + 1)² √√x -dx

A:

Q: Find dy/dx if y=2 – x^2.

A: Given query is to find the derivative of the expression.

Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |a - b|? Select one: O√9 O -√9…

A: This question is related to vectors, we will solve it using given information.

Q: 2. Application of Double-angle Formula (a) sec 8= 12, QIV, find sin 20, cos 20 and tan 20 (b)…

A:

Q: 8. y = In (In (In x))

A:

Q: Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 + 2i)…

A:

Q: x²y (z,y) (0,0) x4 + y² If it exists, find lim Answer: Write DNE of the limit does not exist.

A:

Q: 89% of 35

A:

Q: 65. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3-x²…

A:

Q: For the initial-value problem: y = 1+2, 1st≤ 2, y(1) = 2, h = 0.25, the mesh points (t) can be…

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

Q: 5. The sequence of partial sums of the equation Σ (a)3/2 (b) 3/4 n=1 3n-1 (c) 1/3 (d) -1/3

A:

Q: E. Find an equation of the plane passing through the point (6, 3, 5) and containing the line of…

A:

Q: Compute the definite integral π/4 0 5 sin² (3x) dx

A:

Q: B: Solve the following integrations: a- [x³e-2x¹ dx b-fdx +10 c-f3sec³x. tanx dx arks

A:

Q: B: solve the system of equations by Grammer Metho 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 x₁ + 2x₂ +…

A:

Q: Find the equation of the tangent line to the function f(x) = 3** at x = 1. (Use symbolic notation…

A:

Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8

A: area bounded by curve  y = x2  y = 2x +8  step 1  find the intersecting point of curves step 2  find…

Q: 8. Given the space curve r(t) = (sin²t, cos't, tant), find an equation of the tangent line in…

A:

Q: Question 1. A critical point of the function g(x, y) = ey + 3x²y-y is (0,0). Use the Second…

A: See this solution in below

Q: tank has pure water flowing into it at 10 liters/min. The contents of the k are kept thoroughly…

A: Please refer to the image below

Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Let's find volume of solid.

Q: In Exercises 101-108, assume that each sequence converges and find its limit. 101. a₁ = 2, an+1 102.…

A: The objective of the question is determine the limit of the given sequence.

Q: Q3) Find the average value of the function f(x)=√cos 4x+1, on [0,1 Q4) Using Numerical Integration…

A:

Q: 49. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan use the…

A: Answer to the question number 49 is given below.     We want to find the maximum area.

Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

A:

Q: B: Solve the following integrations: fx³e-2x¹ dx b-S. -dx x³ +10 c-f 3sec³x. tanx dx arks

A: a) ∫x3e-2x4dx Let x4=t Then, 4x3dx=dtOr, x3dx=dt4 By substitution,…

Q: Problem 4: Find the derivative (f'(x)) of a) f(x) = (x² − 3x)(7x+15), b) f(x) = = x-5 x²-x+7

A: Given f(x)=(x2-3x)(7x+15)DIfferentiate…

Q: Find two functions fand g such that h(x) = (f 0 h(x)=√√5x-1 g)(x).

A:

Q: f(x) = 6x3 - 9x + 4 +4

A:

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X-3 X-1 a. Find lim f(x) or…

A:

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x + 6) at (2,8). The equation of…

A: F(x) = (5x -9)(x+6)  at point (2,8) here we have to find tangent equation  so tangent slope = slope…

Q: Ex: Find the work done by the vector field F = (y-x²)i + (z - y²)j + (x-z²2)k Over the curve r(t) =…

A: Given: F=y-x2i+z-y2j+x-z2krt=ti+t2j+t3k

Q: Compute the definite integral T/4 5 sin² (3x) dx

A: Given, ∫0π45sin23xdx