Start your trial now! First week only $4.99!*arrow_forward*

Question

evaluate the limit or determine that it does not exist.

lim

(x,y)→(−3,−2)/(x2y3 + 4xy)

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Express y as a function of x.The constant C is a positive number.

A: Click to see the answer

Q: Find all solutions of the equation x4 + 4x2 + 16 = 0.

A: Given: x4+4x2+16=0

Q: d. There is 800L of water in a tank. At the top, a tube pours 25L per minute into the tank, and at t...

A: Initial total water in tank = 800 L water pours by tube from top = 25 L per minute water leaving b...

Q: Solve logx64 = - 3

A: To solve, logx64=-3

Q: if y - y = 2x Then, d’y dx (3y -1) -24 y prove that

A: Click to see the answer

Q: dy = 1 dx 8 5/3 Find a he graph below shows solution curves of the differential equation quation for...

A: Click to see the answer

Q: The function y = 2x2 - ln 4x (x 7 0) has one minimum point. Find its first coordinate.

A: Given y = 2x2 - ln 4x

Q: 2. Examples: Construct examples of the thing(s) described in the following. Try to find examples tha...

A: a. A divergent series ∑k=1∞ak in which ak→0. We know by the p-test Series ∑k=1∞1k is divergent and 1...

Q: Finding a Derivative In Exercises 97–102, find dydx byimplicit differentiation.97. x2 + y2 = 64

A: x2+y2=64

Q: Use Theorem 12.34 to find the indicated derivatives in Exercises31–33. Be sure to simplify your answ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Example: An urn contains 10 white and 3 black balls another urn contains 3 white and 5 black balls. ...

A: An urn contains 10 white and 3 black balls another urn contains 3 white and 5 black balls. Two balls...

Q: An object moving vertically is at the given heights at the specified times. Find the position equati...

A: Click to see the answer

Q: snip

A: a) Maximum capacity of the milk bottle and the growth rate of the fruit flies ...

Q: I.1. 2ry dy dx

A: Evaluate: ∫12∫04 2xy dy dx

Q: Use the Integral Test to determine the convergence or divergence of the p-series. 00 n6 n = 1 dx = c...

A: we have to test whether the given series is convergent or divergent

Q: Determine the open intervals on which the function f(x) = x3 − 3x2 + 2 is increasing,decreasing, or ...

A: f(x)=x3-3x2+2

Q: A region bounded by the parabola y = 4x - x2 and the x-axis is revolved about the x-axis. A second r...

A: A region bounded by the parabola y=4x-x2 and the x-axis is revolved about the x-axis.A second region...

Q: Evaluate the function for the given values.

A: We have given fx=x. We know, The greatest integer function is represented/denoted by ⌊x⌋, For any re...

Q: Graph a Logarithmic Function Whose Base Is Neither 10 Nor e

A: Definition of Logarithm Function. For a > 0, but a ≠ 1 , logax = y which implies ay= x, from th...

Q: Use the definite integral to find the area between the x-axis and ƒ(x) over the indicated interval....

A: Consider the provided function, fx=sinx 0,3π2 Use the definite integral to find the area between ...

Q: Find the derivative

A: Given, y = ln6+tan3x We have to find the derivative.

Q: Determine the domain of a logarithmic function

A: Given: The logarithim function is given by, y=logb(x)

Q: In the given equation , find the orthogonal trajectories for the family of curves. Use a graphing ut...

A: Click to see the answer

Q: Show that a particle, located at the origin at t = 1 and moving along the x-axis with velocity v(t) ...

A: Consider the provided information, vt=t-2 Show that a particle, located at the origin at t = 1 and m...

Q: 53. Implicit and Explicit Forms Write two differentequations in implicit form that you can write in ...

A: Implicit vs Explicit A function can be explicit or implicit: Explicit: "y = some function of x". Whe...

Q: 58. The linearization of e at x = 0 a. Derive the linear approximation e" = 1 + x at x = 0. Tb. Esti...

A: Function fx=ex The formula for Linearization is:- Lx=fa+f'ax-a which approximate the function f(x) ...

Q: -1 1 -1 D = 2 3 -2 1

A: Solution of the problem as follows

Q: 15. Calculate (41 + 3, r?. –4r³)dt.

A: To calculate: ∫034t+3, t2,-4t3dt Solution: Power rule of integration states that: ∫xndx=xn+1n+1 Solv...

Q: sin 120° =________ ; cos 240° =_______

A: To Determine: sin120∘ and cos240∘ Given: we have sin120∘and cos240∘ Explanation: we have sin120∘ we...

Q: EXAMPLE 5 Finding the Exact Value of a Trigonometric Expression Find the exact value of each express...

A: Here we have to find the exact value of a) sin45∘cos 180∘ b) tanπ4-sin3π2 c) (secπ4)2+cscπ2

Q: 1. Find all the local minima and/or maxima of the function. Show your work. f(x) = (x + 3)5(x – 6)°

A: Click to see the answer

Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe...

A: Differentiation is a method that used to find the rate of change of a function . Let one variable be...

Q: Evaluate: / sec (5x + 1).5dx Select one: O cor(5x+1) + c O tan(5x + 1) + c O cor(5x) + c O tan(5x) +...

A: Use the substitution method and simplify the given integration than integrate.

Q: Suppose that p(x)= 8 · cos(Væ +1) · evæ+1 and that q(x) is a function with p' (x) = q'(x) for every ...

A: Given that px=8⋅cosx+1ex+1

Q: Q3: A cardboard piece that is 12 inches by 10 inches. It is required to cut out the corners as shown...

A: Consider the given figure. Let's consider that, the x inch squares will be cut from the corners of t...

Q: cos-1 (cosx)= x where..............

A: Given, cos-1cos x=x

Q: The marginal cost of producing the xth box of light bulbs is 4 + x2 1,000 dollars per bo...

A: Click to see the answer

Q: Please answer this with complete solution. Use implicit differentiation.

A: we have to use implicit differentiation to find the derivative of the (x+2y)2=x+10.

Q: 8. Given the function f (x) = x7 + 2x6. Determine the intervals for which the function is convex. Sh...

A: Click to see the answer

Q: Determine whether the equation x2 − y = 9 represents y as a function of x.

A: The given equation is; x2-y=9 ...................(1)

Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe...

A: To find: The derivative of y=1x5. Concept used: Power rule of derivative: ddxxn=n·xn-1 Calculation: ...

Q: help G, H, I

A: Click to see the answer

Q: Find the solution of the differential equation that satisfies the given initial condition. dP = 5V P...

A: Click to see the answer

Q: A child wanders slowly down a circular staircase from the top of a tower. With x, y, z in feet and t...

A: Click to see the answer

Q: Suppose there are two lines in the xy-plane in R^2. These two lines could intersect at a single poi...

A: let the lines be y=m1x+c1y=m2x+c2 given that lines are intersecting in ...

Q: b) y(4) + y(3) – 7y(2) – y' + 6y = 0. c) y(4) – y(3) – 7y(2) + y' + 6y = 0.

A: Solve the given differential equation Here I am giving answer of 1 st problem if you want answer of ...

Q: Evaluate the function. x - 6y x2 + y2° 1) Find g(3, 4) when g(x, y) B) - 25 A) - 21 21 C) - D) - 5 2...

A: The given question can be solved as below using the application of function as below

Q: Write ln 5 + 2 ln 3 as a single logarithm.

A: Click to see the answer

Q: A curve in the plane is defined parametrically by the equations written below. An equation of the li...

A: If the parametric equation of a curve are x=f(t) and y=g(t), then the slope of the tangent line at t...

Q: 19

A: Click to see the answer