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

Question

Find the limit, if it exists, or show that the limit does not exist.

a) lim (x,y)→(0,0) 3x^{2}+2y^{2}/ x+1

b) lim (x,y)→(0,0) 2x^{4}y+2/ x^{8}+6y-1

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: help

A: At t=0, we will get the original height from which notebook was thrown. Since, quadratic equation of...

Q: A=2i+j+K Beitje ok Make twe Vectors Angle af magnitude @30 345

A: The formula to find the angle between two vectors is: θ=cos-1A·B|A||B| =cos-1(2i+j+k)·(i+j+0k)22+1...

Q: ne capacity of commercial large aircraft to generate revenue is measured in ton-miles. The capacity ...

A: Rate of change of function

Q: Please help to find limits

A: Consider the limits,

Q: Find all points at which the direction of fastest change of the function f(x, y) = x2 + y2 − 4x − 6...

A: Click to see the answer

Q: Find (tanx)

A: Given: ddx(tanx)

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two f(...

A: We have to find x interset

Q: A savings and loan association estimates that the amount of money on deposit will be 100,000 times t...

A: Click to see the answer

Q: Determine the input that produces the largest or smallest output (whichever is appropriate). s = -16...

A: Given: s=-16t2+196t+68

Q: Suppose f(2) and f'(2) 10 4. %3D Let h(x) = arcsin(f(x)). h'(2) || Check Answer

A: Click to see the answer

Q: How to solve this question?

A: Click to see the answer

Q: Solve the system by the metnod of substitution. Che your solutions graphically. Sy = -7x2 + 7 ly = 7...

A: We have slove

Q: Q2) a) Find Maclaurin expression of f (x) = Cosh (x) b)Find the gradient of the function f(x, y, z) ...

A: Part (a) General form of function fx is Maclaurin series is ∑n=0∞fn0n!xn=f0+f'0+f''02!x2+f'''03!x3+f...

Q: a) f(x,y) = xcos(V) + ye*

A: We apply first and second derivative over function

Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

A: Answer

Q: please give me an briefly explanation and solution thank you

A: Functions are given, we have to find its limits Note: we are answered with 3 part only. please resub...

Q: Using a trigonometric substitution, the integral dz becomes: (z2 - 4)3/2 Select one: a. None of thes...

A: Click to see the answer

Q: ) Sketch the curve: f(x) = x* – 6x²

A: Given function is fx=x4-6x2

Q: Some eyears ago it was estimated that the demand for steel approximately satisfied and total cost we...

A: Given that The price and total cost of function is given To find the maximum profit occurs and cor...

Q: The acceleration of a particle traveling along the x-axis is given by a(t) = t2 - 2t. What is the po...

A: Given: Acceleration function is a(t)=t2-2t. Acceleration function is also written as: dvdt=t2-2t. ...

Q: In Problem,the graph of a function is given.Use the graph to find: (a) The intercepts,if any (b) The...

A: ( a) X intercept : No x intercept . As graph never cuts x axis. Y intercept : +1 . As graph cuts...

Q: f(x)= cos(x) derivative of 62

A: f(x)= cos(x) derivative of 62Formula:(cos x)' =-sin x(sin x)'=cos x

Q: 3. Use continuity to evaluate the limit. (5 – x2 lim In x+1 1+ x

A: We have to find limit

Q: Solve the system by the method of elimination and check any solutions algebraically. { y 8 3 -x + 3y...

A: To solve the equations by elimination method

Q: Explain why the function is discontinuous at the given number a. f(x) = {* 2* x + 3 _ifx -1 a = -1

A: For continuity left hand limit and right hand limit should be same if not then function will be disc...

Q: The function f(x,y) has a local minimum at the point (a,b). Which of the following is true about the...

A: The function fx,y has a local minimum at the point (a,b). Then we have to find which of the followin...

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

A: f(x,y)=2x+2yx2+y2=2

Q: – 15 de Evaluate the integral: æ²/æ² + 25

A: Given, ∫-15x2x2+25dx

Q: The derivative dy for the function %3D (1i) y= cot リーCof V-x

A: Click to see the answer

Q: The radius of a sphere increases at the rate of 5 m/sec. Find the rate at which the volume of a sphe...

A: Write the formula for volume of sphere and take derivative with respect to time t than put the given...

Q: Question 4: Two circles of radius 3, with centers at (-2, 0) and (2,0), intersect as shown in the fi...

A: This question related to application of derivatives.

Q: Given g(x) = ln(12x³ + x), the derivative g (x) is 12x + x 60x4 + 1 60x4 + 1 12x5 + x O 5x4 o 12x5 +...

A: Click to see the answer

Q: Sind y Sor y T+ In(iny)-tan" (y X+ソ

A: Differentiate by product and division rule.

Q: Q2: - Find the second derivative of the following function at x = 2 15 marks 1) y=+ V 2) y 3 (x +) 3...

A: Click to see the answer

Q: A plane begins its takeoff at 2:00 p.m. on a 2580-mile flight. After 5.8 hours, the plane arrives at...

A: Given data

Q: solve dy/dx = 3x2y2 given that y = 1/2 when x = 0

A: Given, dy/dx = 3x2y2 with y = 1/2 when x = 0

Q: If y = e3x+18 then dx O 4e3x+18 O 3e3x+18 O 54e3x+18 O 18e3¤+18 O 2e3x+18

A: Given that: y = e3x+18

Q: 10.2.23 Please help me answer this calculus question.

A: Click to see the answer

Q: P1. In the binomial expansion of (2-3) written in terms of descending power of X, find; a the th tem...

A: Explained below

Q: How many gallons of pure alcohol should be added to 40 gallons of a 25% alcohol to obtain a mixture ...

A: Explanation and solutions is given below....

Q: Another of Queen Bey's many talents is cross-country road racing. During one of these races, her di...

A: Click to see the answer

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select ...

A: Here we apply Mean Value Theorem.

Q: Kindly solve items 3, 7 and 10, find the derivative. It is hyperbolic. Please simplify it further. T...

A: 3). To find the derivative of x=cosh23t. Solution: Power rule of differentiation states that: ddxxn=...

Q: Another of Queen Bey's many talents is cross-country road racing. During one of these races, her di...

A: Click to see the answer

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

A: The function is f(x, y)=2x+2y x2+y2=2 Let g(x, y)=x2+y2-2 Differentiate f(x, y) with respect to x fx...

Q: Find the slope of the tangent line for the curve r = 8 – 6 cos 0 when 0 4

A: The slope of the tangent can be found using the formula, m(θ)=drdθsin(θ)+rcos(θ)drdθcos(θ)-rsin(θ). ...

Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two x...

A: For x-intercept put f(x) = 0 and solve the quadratic by factorisation after explicating the middle t...

Q: Use continuity to evaluate the limit. lim , sin(tan(cos(0))) 0-37/2

A: Here we calculate the limit of given function.

Q: Find the 62th derivative of y = cos(x)

A: y=cos (x)

Q: 1. Given: (x² + 16)(x² – 9)(x + 1)y" + xy' + 2y = 0 a) Draw the circle of convergence. b) Label the ...

A: Given, x2+16x2-9x+1y''+xy'+2y=0 Now, x2+16x2-9x+1y''+xy'+2y=0x2+16x2-9x+1=0x=±4i,±3,-1 The singular ...