Use the Leading Coefficient test to determine the right and left end behavior of the following functions. f (x) = 2x5 + x - 1 O O Left: rises Right: rises Left: falls Right: falls Left: falls Right: rises O Left: rises Right: falls

Q: Question 18 Find increasing interval for f(x) = x² -4x +3 O none of the above 0 (2,00) O (-∞0, 2)…

A: Here we have to us ethe concept of derivatives

Q: The table below shows the velocity of an object (cm/sec) at each sec as it moves along a track for…

A: We need to find distance using Reimann sum.

Q: 12. Water flows into a conical tank at the rate of 2 m3/s. The conical tank is 4 m across the top…

A: To find out the rate of change of wetted surface means rate of change of height of water.

Q: Change from rectangular to cylindrical coordinates. (Letr ≥ 0 and 0 ≤ 0 ≤ 2л.) (a) (-3, 3, 3) (b)…

A:

Q: 151. s(t) = 21³ - 15t² + 36t - 10

A: Note: According to our guidelines, we can answer only the first problem or the first three subparts…

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 20 and with its…

A: Given;

Q: 2. Use the method of Substitution to find the following indefinite integrals a) √3x√√x² +9 dx e) f…

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

Q: Find T (t) and N (t) for the curve r(t) = ti + cosnt j + sinnt k.

A:

Q: Find the particular antiderivative that satisfies the following conditions: dy dx y : పా || = 7-6x;…

A: Given: dydx =  7 - 6x    y(0) = 7

Q: Use the Root Test to determine whether the series is convergent or divergent. 00 Σ (² + 2)²² 1+ n n…

A:

Q: Suppose that the profit from the sale of Kisses and Kreams is given by P(x, y) = 10x + 7.4y0.001x² -…

A:

Q: Find of S. (5.2. (5x + 4y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0}

A:

Q: 1 1. y= 2. g(x) = x² + √ 3. Evaluate 12 - sin x 1² x² sin x³ dr

A:

Q: Find derivative of f(x): f(x)= x Onone of the above 01 OX 00

A: Find the derivative of f(x): f(x)=x (A) none of the above (B) 1 (C) x (D) 0

Q: (4) Which of the following are true about the function f(x) = ²1² I f(x) is an odd function. II f(x)…

A:

Q: a(x, y) a(u, v)

A: Given that the transformation Use the jacobian general formula

Q: 19-

A:

Q: Given the differential equation y"-4y= 2e-t-6e¹t, y(0) = 0, y'(0) = -1 Apply the Laplace Transform…

A: y''-4y=2e-t-6e4ty(0)=0y'(0)=-1

Q: 4) f(x,y)=3e¹¹

A:

Q: (a) Find the average value of f(x)=25−x^2 on the interval [0,4]. Answer: ____________________…

A: We need to find the average value of the given function on the interval [0, 4].

Q: 5. Suppose the series anx" has radius of convergence 2 and the series bx" has radius of convergence…

A: The series ∑anxn has a radius of convergence 2 and the series ∑bnxn has a radius of convergence 3.…

Q: A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the…

A: Find the upper level estimate for the amount of material leaked after hours.

Q: Question 1 Find the limit: limx-->-1 (2x³-2x²+x+3) -3 none of the above O-2 02

A:

Q: Let r(t) = Find a parametric equation of the line tangent to r(t) at the point (- 46, 24, x(t) = 46…

A:

Q: Draw a picture of the following vectors, then calculate them algebraically. Make sure you label the…

A:

Q: Find the interval of convergence of 8 ∞0 n=0 9n (2n + 1)! Incorrect (Give your answer as an interval…

A:

Q: Find the curvature of the curve r(t) = (2 cos(3t), 2 sin(3t), 4t) at the point t = 0 Give your…

A:

Q: 221. y = y = (3x² + 1)³ 223. y = y = ($+7) 772 SHALL NO 225. y = сsс(лx + 1) 227. y = -6sin ³x -3

A:

Q: Use the Leading Coefficient test to determine the right and left end behavior of the following…

A:

Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: Given data : f(x)=1x Intervals given x = 1 and x = 5 To find an area for two and four rectangles.

Q: 5 Consider the parabola given by the equation: f(x) = -2x² +14z +6 Find the following for this…

A:

Q: Find the total area of the region between the x-axis and the graph. 3 y = x³ - 3x² + 2x, 0≤x≤2

A:

Q: Consider the function f(x) Let F(x) be the antiderivative Then F(2) = = 5 4 x4 x6 of f(x) with F(1)…

A:

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000 + 200x. (A) Find…

A:

Q: Use spherical coordinates. Find the volume of the part of the ball p ≤ 10 that lies between the…

A:

Q: 2. Evaluate the following expressions without the calculator: a. log: 81 b. c. log 0.24

A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: Find b and c so that y=−6x2+bx+c has vertex (−5,−8).

A: Parabola y=-6x2+bx+c has vertex at (-5,-8)

Q: A rectangular tank that is 5324 ft³ with a square base and open top is to be constructed of sheet…

A: The given data is: A rectangular tank that is 5324 ft3  Base is square Find the dimension of the…

Q: Use the given transformation to evaluate the integral. The (x - 10y) dA, where R is the triangular…

A:

Q: 1. Convert the expression to exponent form and solve for the variable: a. log x= 6 b. logb 64 = 3

A: We have to convert the given expression to exponent form and solve for the variable.

Q: . Find the value of a so that the following function has a point of inflection at x=6 f(x) = ax³ -…

A:

Q: Find nd √ √ cos (2² + y²)dA where D = {(z,y) | 4 ≤ z² + y² ≤ 49}

A:

Q: Question 8 find derivative of f(x). f(x)= 3x²-5x +1 O 6x+1 6x-5 О 6x 6x-4

A:

Q: 5 32 w PO 2 m LO 5 What is the least possible degree of the polynomial graphed above?

A:

Q: take the derivative of this function - find the critical points in order to find the maximum and…

A: Volume of cylindercal tank =2000 m3Let radius=r m , height =h m

Q: Determine whether the statement is true or false. True False •[º [F(x) If f and g are continuous on…

A:

Q: What does the graph of the equation 0 = 0 look like? A) The xz-plane B) The yz-plane C) The x-axis…

A: We have to find the equation corresponding to θ=0.

Q: C. SSS, Xy dv E E=(x,y,z)10≤x≤ 1,0²y34 o≤z≤xy ³

A:

Q: 4) Find the mass of a sphere of radius 4 if d = ko, k a constant. A) 16kл B) 256kπ C) 64k7 D) 512kT

A:

Q: Find the limit. Use l'Hospital's rule if appropriate. If there is a mo In(3x) √√3x lim x → 00

A: