2. Annual sales of sparkling water in the U.S. in the period 1993 - 2003 could be approximated by S(t) = -1.2 t2 + 4.1t + 150 million gallons (3

Q: 2x2 – 5x + 2 - Let f(x) %3D 2x2 + 7x 15 This function has: 1) A y-intercept at the point 2) x-interc...

A: We have to find horizontal asymtotes and vertical asymtotes

Q: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) det...

A: Given the ellipse 9x² + 16y²-144 = 0 a) determine the length of arc in the first quadrant.  b) deter...

Q: When finding the inverse of a relation, 1st you replace f(x) with y, 2nd switch the x's and y's. Wha...

A: Finding the inverse of a relation: Let's say the relation given by the function f(x)= x+a Where 'a' ...

Q: S Vxi + 2x² + x dx

A:

Q: Given an initial value problem y = 2xy, y(1) = 1; y(1.5). (i) Find an explicit solution of the initi...

A: Given IVP y'=2xy , y(1)=1   , y(1.5) =?

Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

A:  

Q: What is the area bounded by the curve ?^2 = −9? and the line y+1=0?

A:

Q: Use the method for solving homogeneous equations to solve the following differential equation. (x^2...

A:

Q: Use the definition of derivative to find the tangent and normal equations of f (x) = (x – 3)2 %3D

A:

Q: 2. Water is flowing in a trapezoidal channel at a rate of Q = 20 m³/s. The critical depth y for such...

A: Q=20 m3sg=9.81 ms2A=3y + y22B=3+yy= critical depthfy=1-Q2gA3BAim: We need to find theapproximate val...

Q: function is in a form of y = ax^3 + bx^2 + cx + d. it has relative maximum (3,3) and point of inflec...

A: Given function f(x)=ax3+bx2+cx+d

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 2 and roots of multiplicity 1 ...

A:

Q: Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast...

A: d[r^n]/dr = n r^(n-1)

Q: S dr 1+r

A:

Q: x* In xdr

A: We are asked to evaluate to integral.

Q: Using tables of values, estimate   lim 3x

A:

Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D X...

A: We can find the tangent equation and normal equation as below.

Q: Find the integral: log2 X dx In(2)/ 082(x) + C 2

A: Put logx = u then solve it. 

Q: E Sove the differential equations 1. (6x-3y+2) dx = (2x-y-1)dy when X=2, y=7

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: a) Find the inverse of the function. b) Sketch the graph of f (x) and f-1(x) on the same Cartesian p...

A: We can solve all the three parts as below.

Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the ty...

A:

Q: 1. Using the table of values, estimate lim 3x x-2 а. 3 b. 6 с. 2 d. 5 2. Using the table of values, ...

A:

Q: Question 17 Complete the integration: Determine the value of "?".

A:

Q: 11. Write a polar equation of a conic with the focus at the origin given the following: Eccentricity...

A:

Q: F.M: 15 1. Use second derivative test to classify each of the given critical numbers as a relative m...

A: 1. A) f(x) = e-x(x² - 3x + 1)  So, f'(x) = e-x(2x - 3) - e-x(x² - 3x + 1) So, f'(x) = e-x(2x - 3 - x...

Q: Evaluate the following. Show solution using the basic formulas.

A: Evaluating the indefinite integral  

Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplic 2 at x = 2 and x...

A: roots : x=2,2,0,0, -5 Factors are given by:x-2,x-2,x-0.x-0,x+5hence P(x)=Product of factors P(x)=(x-...

Q: Given f(x,y) = x-y-3xy³. Evaluate fdx O 14y-27y3 +C 6 O -6y³ + 8y/3+ C O 6x2 – 45x + C 4 O 2x2 – 12x...

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: Find your answer below 

Q: If a function f(x) is continuous on the interval [a..b] and sign of f(a) = sign of f(b), then: There...

A: Bolzano's theorem: According to this if f is continuous on        [a b]And if f(a) and f(b) has oppo...

Q: Subtract in the indicated base. 1002, 3224 10024 3224

A:

Q: Direction: Find the derivative of the function. g(x) = (3 – z*) (x* – z + 1) Select one: O g'(r) = -...

A: Given:     gx=3-x2x3-x+1             =3x3-x+1-x2x3-x+1            =3x3-3x+3-x5+x3-x2       gx=-x5+4x...

Q: b) f(x) = -log2(2x + 3) – 3

A:

Q: Determine the ORDER, DEGREE and LINEARITY(Yes or No) 1. y' y 2. (y)? — Зуу' + ху %3D0 a?u a?u a2u 3....

A: We have to solve 3 questions as per guidelines Please repost other questions again

Q: S(s – 3)(2s + 9)ds

A: Evaluate the integral 

Q: Evaluate the integral: x ln x dx Choose the most appropriate answer. 승nz- +C ,6 -In x 6 36 x° (ln x)...

A: We have to evaluate the integral ∫x5 ln x dx

Q: 4 Five less than twice the value of a number is equal to three times the quantity of four more than ...

A: Let 'x' be the number  Five less than twice the value of a number = 2x-5 Four more than one half the...

Q: Learning Task 3: Give the COTERMINAL for each angle. ONE NEGATIVE AND ONE POSITVE 1. 128° 2. 382° 3....

A: Given:- 128°  382° 535° To find:- Give the COTERMINAL for each given  angle. ONE NEGATIVE AND ONE ...

Q: II. Write the equation of the circle in standard form and in general form given its center and radiu...

A:

Q: (1) The number of organisms of a certain bacteria at time t can be modeled according to the function...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Since I can not b...

Q: 2c- 5.64c + 198.6318c – 5.25 on your graphing Graph the function h(c) calculator on the interval [-1...

A: Let's find. 

Q: For which points the following function is continuous y f(x) = (2x – 4)2 – 4 %3D

A: Given the function is y = f(x) = (2x-4)2-4

Q: y' = 4x(2y-y)

A:

Q: Evaluate the limit and justify each step by indicating the appropriate Limit Theorem(s). please sle...

A:

Q: 2 Complete the following sentences. a. The one-variable linear equation 13x + 6 = 13x + has infinite...

A: Note that, the infinite solution to the one variable equation of x means for any value of x the equa...

Q: 2. For each of the following statements, determine if they are true or false. In either situation, e...

A: Find your answer below 

Q: Problem 2. Show that as x → 0∞, (1+4)'-- + e. In(1+h) – In 1 = lim h→0 In(1+ h) d In x lim h→0 = lim...

A: We are asked to prove that given

Q: A particle is moving along the graph of 7(t) = te-tî+ t² î+ 2t k. Set up the definite integral that ...

A: Here, the given curve is: r⇀(t)=te-ti+t2j+2t k

Q: Given the equation below. Give what is being asked. a sin3xsin2xdx = Find: a + B,where a <0

A:

Q: 1 Using a table of values, estimate lim 7. z-3 I - 3 а. 1 b. -1 c. - 0 d. 0 x + 4 Using tables of va...

A: Topic:- calculus