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

Question

Evaluate the limit, by using the appropriate Limit Law(s).

limx→1(1+3x /1+4x2+3x4)3

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: The graph of f passes through (-2, 6) and is perpendicular to the line whose equation is x = -4.Writ...

A: Click to see the answer

Q: Find the derivativeof ƒ(x) = x5. Then find the samederivative using the Quotient Rulewith ƒ(x) = x8/...

A: Given: We have to find the derivative of f(x)

Q: Find an equation of the tangent line to the graph of the function f defined by the following equatio...

A: We need to find the equation of tangent line.

Q: (iv) S: (1-x²)z dx x8

A: Given:

Q: A continuous random variable X has probability density function {(5 – x) for 0 <x< 2 f(x) = otherwis...

A: Given probability density function for a random variable X is,

Q: Multiply or divide . [(x3 - 8/x2 - 4) . (x + 2/3x)]

A: We factor the expressions first.

Q: (b) Solve the following ordinary differential equation using Runge-Kutta classical method. Compute u...

A: Click to see the answer

Q: Solve absolute value inequality : 5 l2x + 1l - 3 ≥ 9

A: First we solve for |2x+1|

Q: A baseball is hit from a height of 2.5 feet above the ground with an initial speed of 140 feet per s...

A: The projection vector for a projectile is We have, Thus,

Q: Use the vertical line test to identify graphs in which y is a function of x.

A: Click to see the answer

Q: Which of the following is a possible value of the gradient V f of a function f (x, y) of two variabl...

A: The gradient of f(x,y) is given by:

Q: Solve the equation lsin xl = 1/2 on the interval [0, 2π).

A:

Q: Determine a basis for the solution spaceof the given differential equation. y′′ + 2y′ − 3y = 0.

A: Click to see the answer

Q: The quantity (in pounds) of a gourmet ground coffee that issold by a coffee company at a price of p ...

A: Click to see the answer

Q: Find the values of the trigonometric functions of t from the given information. Find exact values, n...

A: Given that csc(t) = 5 We need to find the all other 5 trigonometric functions.

Q: Use limits to find the derivative function ƒ′ for the followingfunctions f.b. Evaluate ƒ(a)for the g...

A: a) Using the limit definition of f'(x) we get:

Q: Determine whether the following series converge. Justify your answers.

A: Click to see the answer

Q: Use your graphing utility to graph each side of the equation log3(3x - 2) = 2 in the same viewing re...

A: We will graph using a graphing calculator.

Q: Determine the amplitude and period of the function y = 3sin x/2. Then graph one period of the functi...

A: Click to see the answer

Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions ,f(x) = 4x + 9 and g(x) =(x -...

A: We find f(g(x)) and g(f(x))

Q: Determine the domain of the function and prove that it is continuous on its domain using Theorems 1-...

A: Click to see the answer

Q: Use the specified substitution to find or evaluate the integral.

A: We need to use the specified substitution to find or evaluate the integral.

Q: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your results...

A: Here, By taking derivative Now, find a critical point by considering y’=0

Q: f and g are defined by the given tables (see attached). Use the tables to evaluate the composite fun...

A: f and g are defined by the given tables:

Q: Consider the function f(x) = 1/3x3 . ...

A: f(x) = 1/3x3 We need to do the following: (a) Use a graphing utility to graph the function and est...

Q: Is there any reason to believe that there is always a pair of antipodal (diametrically opposite) poi...

A: Click to see the answer

Q: Find values of a and b such that the following function is differentiable everywhere: Jах + b, lax3 ...

A: Click to see the answer

Q: Use the Quadratic Formula to solve the quadratic equation. (Enter your answers as a comma-separated ...

A: Quadratic Formula: The quadratic formula to find the roots for an equation ax2 + bx + c = 0 is given...

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: Click to see the answer

Q: If ƒx(a, b) = ƒy(a, b) = 0, does it follow that ƒ has a local maximum or local minimum at (a, b)? Ex...

A: To determine: Whether the function f follows that it has a local maximum or local minimum at a point...

Q: 3. Consider 3x3 matrix A the 1 A て 1. レ Colculate the adjoint matrix

A: Click to see the answer

Q: (a) COMPUTE the dimensions of the rectangular box of maximum volume that can be x² + y? + z? = 4. in...

A: Since you have posted multiple questions, we will solve only first question for you. To get remainin...

Q: Condense the expression to the logarithm of a single quantity. 8[In z + In(z + 9)] – 4 In(z - 9)

A: Click to see the answer

Q: Use the vertical line test to identify graphs in which y is a function of x.

A: Vertical line test: If we draw vertical lines through the graph. And if each line cuts the graph onl...

Q: Graph each side of the equation, sin x - sin x cos2 x = sin3 x in the same viewing rectangle. If the...

A: Click to see the answer

Q: A rectangular storage container with an open top is to havea volume of 10 m 3 . The length of its ba...

A: Click to see the answer

Q: Find the inverse function (on the given interval, if specified) and graph both ƒ and ƒ-1 on the same...

A: To find ƒ-1 we will write f(x)=y, then we switch x and y and solve for y.

Q: Calculus Question

A: Click to see the answer

Q: Solve the attached equations by the method of undeterminedcoefficients.

A: Click to see the answer

Q: The graph of an equation is symmetric with respect to the .................if substituting -x for x ...

A: Click to see the answer

Q: Use properties of logarithms to condense the logarithmic expression, 1/3(log4 x - log4 y). Write the...

A: Given logarithmic expression:

Q: Computing the derivative of ƒ(x) = e−x

A: Given function is

Q: Find a power series representation for $f(x)=\tan ^{-1} x$

A: Click to see the answer

Q: determine the order of the given partial differential equation; also state whether the equation is l...

A: Given equation is uxxxx + 2uxxyy + uyyyy = 0

Q: Consider the function f: R → R given by Determine if f is continuous in x = 0

A: We have given function;

Q: Fill in the blank/s: In order to solve x2= 4x + 1 by the quadratic formula, we use a =______ , b =__...

A: We will write x2= 4x + 1 as x2- 4x - 1 =0 Then we compare it with ax2 +bx + c = 0 So, we get, a=1, ...

Q: Use the Intermediate Value Theorem and a graphing utility to approximate the zero of the function in...

A: We find f(x) at x=0 and x=1 Since, f(0)<0 and f(1)>0 , so by intermediate value theorem there...

Q: Find the derivative of: 2sqrtx + 9/x^3

A: To Determine: Find the derivative:

Q: Give reasons for your answer

A: The graph of the function sin (1/x) is,

Q: Solve it early I upvote

A: Click to see the answer