For the functiong whose graph is given, state the following. (a) lim g(x) = X- 00 (b) lim g(x) = X--00 (c) lim g(x) = X-3 (d) lim g(x) = X-0 lim g(x) = X--2" (e) (f) the equations of the asymptotes (Enter your answers as a comma-separated list.) X = y =

Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), u = (5,2, –...

A:

Q: 7. The cost of manufacturing x cases of cereal is C dollars, where C = 3x + 4Vx + 2. Weekly producti...

A: We will find the marginal cost, rate of change of cost and rise in cost with respect to time.Below f...

Q: What is the particular solution if y(1)=D0? 1/2 xy = y+ (a² + y³)2

A:

Q: 2.x+y=3 3x-y=2 A Give the coordinates of each corner as an ordered pair. Parentheses and comma requi...

A: We can find the coordinates of point A and B as below.

Q: FIND THE INDICATE ORM! DERIVATIVE IN TIS SIMPLIFIED (x2-3x)3 1. y= ; d'y/dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Solve, y = xy' + (y/(1+y))

A:

Q: Evaluate the limit. Vx2 + 3 lim 3x2 + 1

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i ...

Q: Condense the expression to the logarithm of a single quantity. -2 log6 3x

A:

Q: Evaluate using trigonometric substitution ∫1/(4x^2+16)^3/2 dx

A:

Q: A parabola with directrix y = -1 and one endpoint of the latus rectum at (-1,3)

A:

Q: For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where y’(x)=y(x)?

A: QUESTION- For the graph of e^-cosx what would the coordinates be (x1,y1)., The point where y’(x)=y(x...

Q: Consider the function if æ 1 f(x) = Evaluate the definite integral. | f(2) dz -2

A: Given query is to find the value of the integral.

Q: 6. (D³ + 8)y = 0 7 (D4 81)v = 0

A: We will find the general solution for given differential equation as shown below

Q: 2. Find the average value of the function y = x sin(2x) on the interval [0,7 / 2]. ll the steps in t...

A: To determine the average value of the function y=x sin2x on the interval 0, π2.  

Q: 3x4 – 4x3 – 12x² + 18 f(x, y) = 12(1+ 4y²)

A:

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: To find out the limit.

Q: (6+32) cos(1+4z) dz 3/2 sin(1+4z) + 1/4 z sin(1+4z) + 1/16 cos(1+42) +C None of the choices O 3/2 si...

A:

Q: What is the instantaneous rate of change for α=arctan(2-r/r) at r=0

A:

Q: Topic: Incentives ( Proof of integration formula for hyperbolic secant and hyperbolic cosecant) Prov...

A:

Q: 3 dx is . Jitx The value of V1+x d. 0 b. 2 с. -1 а. 1

A:

Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

Q: Evaluate the limit. lim x+0+

A:

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: What are the rectangular coordinates of the point whose cylindrical coordinates are (r = 9, 0 = 5, z...

A: given that, convert the cylindrical coordinates to rectangular coordinates r=9,  θ=4π9,   z=-7 conve...

Q: Calculate the derivative of the function. f(x) = (2x2 – 9)-1

A:

Q: Consider the following. y = f(x) 4 8 (a) By reading values from the given graph of f, use five recta...

A:

Q: (smaller t-value) (х, у, 2) %3 (larger t-value) (х, у, 2) =

A:

Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. 1. The strength of a rectangular be...

A:

Q: Find the limit. est - 1 lim t-0 sin(t)

A:

Q: S(7x-2)³ dx = (7x-2)4 + C. 28

A: The given integral,      ∫7x-23 dx=7x-2428+C

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: We have to find limit.

Q: Solve the equation

A: Given that: dydx=y(lny-lnx+1)x

Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d. V(4x)...

A:

Q: dy = 2x- 7, y(2) = 0. dx

A:

Q: What is the particular solution if y(1)=0? 1/2 xy = y + (x² + y³)"

A:

Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the sa...

A:

Q: An airplane is flying overhead at a constant elevation of . A man is viewing the plane from a positi...

A: Basic application of derivative problem

Q: Evaluate using trigonometric substitution ∫(x+4)/(x^2-9)dx

A:

Q: Find the area of the largest rectangle that can be inscribed in the ellipse x2 1. b2 +

A:

Q: For the cost function, find the marginal cost at the given production level x. State the units of me...

A:

Q: Find the equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0, 1...

A:

Q: Evaluate the integral 7sin^2(x)cos^2(x)dx, from 0 to pi/2

A:

Q: 7 6. 4 1 -4 -3 -2 -1 1 2 3 4 5 6. 8.

A: Graph of the function is given, we have to find the function value and limits

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: We have to solve the limits

Q: хр x?V25 - x

A:

Q: Eliminate Arbitrary Constant y^3(x+2y)=C^2y

A:

Q: The solution of a certain differential equation is of the form y(t) št = ae + bet, where a and b are...

A:

Q: sec² 0 de tan² 0 – 1

A: Integrate the integral.

Q: The radius and height of a right cylinder are measured at 2.4m and 1.5m respectively with a maximum ...

A:

Q: Find the error propagated from the function y = 3x* if an error of 0.06 occurs in the independent va...

A: