List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which actually are zeros). (Enter your answers as a comma-separated list.) S(x) = 6x4x² + 5x + 12

Q: second derivative tests. =) has a relative Choose one Choose one maximum minimum at the point (?, ?)

A:

Q: ∫(x2+5)2 dx Evaluate indefinite anti-differentiation

A: Let's find.

Q: Find the derivative of y = log2 4x Ox/In4 O 1/xln4 O4/1n4 @ 4/xin4

A: To solve the following problem

Q: Use the given derivative to find all critical points of f, and at each critical point determine…

A: Given :

Q: ∫cos(7t) dt Evaluate indefinite anti-differentiation

A: LetI=∫cos7tdtPut 7t=uDifferentiate on both side7dt=dudt=du7ThereforeI=∫cosu17duTake the constant…

Q: 1. Find the area of the region enclosed by the given curves. a) y - x² = 2x and x + 4 = y

A:

Q: QUESTION 8 If you save $270 per quarter for retirement in an account that earns 8% interest per…

A:

Q: Confirm that the force field F = xy²i + x²yj is conservative in some open connected region…

A:

Q: Let F(x) = f(x¹) and G(x) = (ƒ(x))ª . You also know that a³ = 14, ƒ(a) = 3, ƒ'(a) = 12, ƒ' (aª) =…

A:

Q: 17 m K 19 m hm 9 m Part 1: Part 2: Part 3: Part 4: Let h be the height of AJKL. Find the length of…

A: To find the area of triangle, height etc..

Q: define gradient of a function.

A: The gradient of a function f(x,y) in two dimension is defined as:

Q: 6) Given the function y = x³ - 3x. Find all the critical points, any local maximum or minimums, the…

A: 6)y=f(x)=x3-3xf'(x)=3x2-3f'(x)=0x2-1=0Critical points of f(x)     x=-1, x=1f'(x)=3(x2-1)f'(x)>0…

Q: 8x³ + 4xy - y³ = 1

A: Given :

Q: sec7(t) tan(t) dt Evaluate the following integral using substitution rule or integration by…

A: We have to find the solutions

Q: "alse 1. The absolute extrema for a function f(x) will occur wherever f'(x) = 0 2. The rectangle…

A: Topic:- function

Q: ompute the surface integral over the given ented surface: = y'i + 7j - xk, portion of the plane - 1…

A:

Q: -8 27 -6 -5 -4 -3 -2 ਆਰਡਰ 41 3 1 -2 -3 The curve above is the graph of a sinusoidal function. It…

A: Given query is to find the graph of the function.

Q: Let m(x) be the slope of the tangent line to the curve y=x² x³ 2x² + x at the point (x, y). Find the…

A:

Q: 2. Given the first 5 terms below, write down the general term of the following sequences: (a) 80,…

A:

Q: Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. 4- 3 2- ਸੀਨੀ TU…

A: This question is based on Sinusoidal function.

Q: 3) Find the following derivatives: a. y = 2x b. f(x) = 4x³10x² + 7x-15 c. g(x) = 3x(x² - 4)5 d. y =…

A:

Q: dx Find -given that dt 7x² + 6y² = 13 x = 1, y = - 1, and Give your answer as a simple fraction. dx…

A:

Q: A point is moving along the graph of the equation y = -5x². At what rate is y changing when x = 2…

A:

Q: Step 4 Thus, (x x cos(8x) dx =

A: To solve the following problem

Q: 2. Find are Ətəx

A: The given function is v=(3t-x)e-2t ................................ (1)

Q: 1. Determine the following using the graph off provided below. If the value is infinite, specify oo…

A: x→a+ means; x approaching to value a from the right side.Equation of straight line:(-7, 3) and  (1,…

Q: Verify Green's Theorem by evaluating both integrals [1²0x + x² +1 = [] (2012 - 31²) A dy (ON-OM) dA…

A: Greens theorm is varified.

Q: 1) Find the average value of the function f define by f(x)=√√√49-x²³² On the interval [0, 7] 2) Find…

A: We can use the equation to find average value of a function in an interval.

Q: s x3 √1-x² V dx

A: Given: I=∫x31-x2dx   ...1   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: log(is²t) + 1 log; 10 + logn C logn, 10

A:

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Here we have to find the indefinite integral.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A:

Q: (b) 3, 1, 1 1 1 3'9' 27

A:

Q: dx x²+2x+5

A:

Q: Confirm that the force field F(x, y) = yeyi+ xey j is conservative in some open connected region…

A: We have to find the work.

Q: Find the sum of the series, if it converges. Otherwise, enter DNE. 6 Σ n(n + 2)

A: Given problem:-

Q: f(x)= = x+1 1³ - 2x² + 1

A:

Q: Write an equation of the form y= a sin bx or y= a cos bx to describe the graph below. 'y 3 AA x -2 4…

A:

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t² − 3)i+tj; t=3 T(3): N(3) = =

A:

Q: Determine the volume of the solid obtained by rotating the region bounded by x=(y-2)^2, the x-axis…

A: Solution is given below:

Q: Scos2x (2 2 Cos 2X (2 cos 2X -1) dx

A:

Q: 9) Evaluate the following indefinite integrals a. [(5x¹ + x² + x) dx b. 9x²(x³ +5)*dx c. S7 C. dx…

A:

Q: f[in (w) ² ] ^ 4 3 dw

A: ∫lnω24ωdω=∫2lnω4ωdω=∫16ln4ωωdω=16∫ln4ωωdω Substitute u=lnω⇒dudω=1ω⇒dω=ωdu; 16∫ln4ωωdω=16∫u4du…

Q: A company producing jigsaw puzzles has fixed costs of $7000 and variable costs of $4 per puzzle. The…

A:

Q: Let f(x)= x+1 1³ - 2x² + 1

A: Solving the problem by finding the fraction from the expression.

Q: Find the derivative of f(x) = x²e² A. re* (æ+2) B. x² + 2x C. —xe* (æ+2) D. x²e - 2xe O U A B

A:

Q: Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x =…

A:

Q: 13 5 3 1 5 Let F= 1 7 -4 and G= -1 2 3 12 3 2 2 5 Find 5F- 4G. 5F - 4G = 00 C

A:

Q: A cylindrical can, open at the top, is to hold 300 cm³ of liquid. Find the height, h, and the…

A: