Evaluate lim(x+ 2)(4x) x2 Answer: 4096 Use the space below to enter the letters corresponding to the Limit Laws t Enter letters only (no commas): Limit Laws A. Sum Law B. Power Law C. Quotient Law D. Product Law E. Constant Multiple Law F. Root Law

Q: the quotients. 0.08 0.992

A: Explanation of the answer is as follows

Q: Given f(x, y) = 2 – 27x – y3+3y?. Find all critical points of the following function and classify th...

A:

Q: 18. х %3D 2у — у', х%3D у x = y

A:

Q: Sketch the vector field F(x,y) =ˆi + 2ˆj

A: Topic-vector

Q: Find the linear differential equation of the bernoulli’s equation dy/dx-y[1/(2x)]-y^5=0 using dv/dx.

A:

Q: Find the parabola with equation  y = ax2 + bx  whose tangent line at  (1, −1)  has equation  y = ...

A:

Q: Evaluate the limit assuming that lim f(x) = 1 and lim g(x) = 8: lim f(x)g(x)

A:

Q: y=x²-3x²-9x +4

A: The given function is y=x3-3x2-9x+4

Q: Carlos invests $1,357 in a savings account with a fixed annual interest rate of 8% compounded contin...

A: Invested amount (p) = $1357  Interest rate = 8% Time period= 8 years   We have to calculate the tota...

Q: 2. A population of birds (in millions) t years from now is estimated by the following P (t) = 30t2+1...

A: Please see the answer below.

Q: In (4xy) + e?xy + sen (2y) = 3x* – 7xy³

A: Differentiate wrt x 

Q: 2 3. 4 5 3 7 11 14 a. Develop the estimated regression equation for these data (to 1 decimal). b. Se...

A:

Q: If f (x, y) = x² + 4y² , use the gradient vector Vf(3, 1) to find the tangent line to the level curv...

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

A:

Q: 5 4- 2- 1 -1 7/2 3n/2 2n -2 -3 The graph of the function f(x) = sec x is given above for the interva...

A:

Q: Consider the quadratic equation ax? - bx + c = 0, a, b, c e N. If the given equation has two distinc...

A: Let f(x)=ax2-bx+c, where a, b, c∈N Let α and β are roots of f(x)=ax2-bx+c. ⇒f(x)=a(x-α)(x-β)

Q: Find the total force of water pressure exerted on the glass wall of an aquarium with the following d...

A: Given. We are given the vertical cross-section and we need to find the pressure exerted on the cross...

Q: O Det crmine the Irngth of the following polar curve. ro -4sine

A:

Q: f(x) Let lim f(x) = 6 and lim g(x) = - 10. Find lim %3D X→a X→a X→a 9(x)

A:

Q: Bernoulli's Equation Solve (dy/dx) - 4xy = 12xy2 %3! O 1/y = (Ce^(-2x2)) - 3 %3D O 1/y = (Ce^(-2x2))...

A:

Q: 4 3- 2- 1 T/2 It -1- 3n/2 -2+ -3 -4 -5 The graph of the function f(x) = cot x is given above for the...

A:

Q: A soda can needs to contain 355ml of liquid (note: 1ml=1cubic centimeter). What dimensions should be...

A: Given the volume of a soda canV=355 cm3

Q: 4 sin? r d) lim a-0 3x tanx

A: see below the answerHere we use the L'Hospital Rule islimx→af(x)g(x) is of the form 00 then  limx→af...

Q: Use the graph to evaluate the limit. lim f(x) X→0 6- 5- 4- 3- 2- 1- -6 -5 -4 -3 -2 -1, i 2 3 4 5 6 -...

A: Given query is to find the limit of f(x) at 0.

Q: A curve passing through (1, 0) is such that the ratio of the square of the intercept cut by any tang...

A: Recall: Equation of the line :       Y-y=dydxX-x ;where (x,y) is the given points.

Q: 4. Let y(x) be a function which satisfies the DE plus initial condition dy =2 – 2y; dr y(1) = 2. Usi...

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A:

Q: 3. Calculate the indefinite integrals for the following functions as integrands (section 8.2): (a) t...

A:

Q: Part A. Identify if the following statement or equations are accurate, if they are not, apply necess...

A:

Q: U +2y at (0, 0) to estimate Use the linear approximation of f (x, y) = e3x²- f(-0.03, 0.03) =

A:

Q: Let /(r.y) classify them according as they give either a local maximum local minimum or a saddle poi...

A:

Q: Jse the Divergence Test to determine whether the following series diverges or state that the test is...

A:

Q: Differentiate each function and simplify the answer. x) = (x + 3)^(2x – 1)} (factor the answer!!)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use spherical coordinates to find the volume below the cone z=r, above the xy-plane, and inside the ...

A:

Q: Suppose f(x) has the following properties: f(6) 7 = f(9) 8 9. - 6x f(x) dx 15 е 6 Evaluate: (e-6a f'...

A: Don't confuse if your answer may be in another format...I have done solution step by step...use inte...

Q: 2. Calculate the indefinite integrals for the following functions as integrands: 1 x In ¤/(In x)2–1 ...

A:

Q: A curve passing through (1, 0) is such that the ratio of the square of the intercept cut by any tang...

A:  

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 3x; R(x) = 6x – 0.00...

A:

Q: 3. 41 -1 -2 2.

A:

Q: ar function is given. g(x) = -6x + 7 (a) Find the average rate of change of the function between x =...

A:

Q: 4) Consider the curve y 1 2x2 3 dy a) Find and simnplify dr b) Find an equation, in simplified form,...

A:

Q: Question 8 > The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bæ + H...

A: Topic:- transportation of a function

Q: 1/3(x– 1) dx VI+x² - 1 dx

A:

Q: Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral triangl...

A:

Q: What is the linear differential equation of dy/dx+2xy+xy^4=0 using dv/dx?

A:

Q: [10] At what point on the curve y = e*is the tangent line parallel to the line y = 2x? Give answer a...

A: Given curve y=ex   and line y=2x

Q: 1. Use L'Hopital's Rule to calculate the following limits: (a) lim 0+ gsin a. (b) lim,→1- T/2-sin-1r...

A:

Q: r5x³ + 3x² – 2x – 4 dx Consider the indefinite integral x2 – 1 Then the integrand decomposes into th...

A:

Q: logs(2x-8) = log5(4x-10). ...

A: loga(x) =loga(y) this impies x=y

Q: 3. Sketch the graph of the following function f(x) = 2x3 9x2 + 12x - 3 3 by completing %3D the follo...

A: Simply apply the concepts of maxima and minima as I have done step by step solution in detail...go t...