Evaluate the limit assuming that lim f(x) = -5 and lim g(x) = 2: I→1 I→1 lim f(x)g(x) z+1

Q: Given a function and x values for f ‘(x) = 0. Help use the Second Derivative Test to determine…

A:

Q: A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 170…

A:

Q: 22 Suppose that y = c +ce is a two-parameter family of solutions to a certain second-order linear…

A:

Q: What is the average rate of change of x² - 6x - 7 = 0 on the interval between x = 2 and x = 3? What…

A:

Q: Question content area top Part 1 A​ company's total​ cost, in millions of​ dollars, is given by…

A: The objective of this question is to find the marginal cost of the company at a specific time. The…

Q: Graph the given function on desmos.com and find the vertical and horizontal asymptotes. If none…

A:

Q: The nationwide attendance per day for a certain motion picture can be approximated using the…

A: The objective of this question is to find the rate of change of the daily attendance for a motion…

Q: x+6 x³ (x² +3) (2) S₂ -dx

A: The given integral

Q: (b) Find P(X ≤1,Y ≤ 1)(c). Find P(X+Y ≤1).

A: The objective of the question is to find the probability P(X ≤ 1, Y ≤ 1), P(X + Y ≤ 1) and the value…

Q: f(x,y) = Find f(3,4) 2+2u

A: Given Fuunction in x and y is as follows

Q: According to Poiseuille's law, the speed S of blood through an artery of radius r at a distance x…

A:

Q: Thanks for your solution. However, i and j looks correct but would you mind checking k? Because it…

A: Yes there is a mistake in k integration, i correct this, please check answer

Q: Find the derivative of the function.   y equals ln left parenthesis 3 x cubed minus x squared right…

A: The objective of the question is to find the derivative of the function y = ln(3x³ - x²).

Q: Find (fog)(-4) for the following functions. Answer How to enter your answer (opens in new window)…

A: Given,

Q: Practice Problems 1. Let f(x) = 3r-4 g(x) = 2x²-3x Evaluate the following at the given z-value. (a)…

A: we need to find out the values of the function at the given x."As per the company policy, we are…

Q: 5. Consider w = (W₁, W₂, W3). Prove w x W = 0.

A: Given vector is

Q: Using the figure below, where f' (4) = 2.1, f' (8) = 3.0, f' (12) = 3.7, f' (16) = 4.2, find (¹)'…

A:

Q: Explain the meaning of lim r(x) = L. x→a* As approaches from the values of approach ....

A: Given value of limit is,

Q: A rocket is launched straight up into the air and is being watched by a crowd of people 12.5 miles…

A:

Q: Region R is bounded by y = x2, the x-axis and the line x = 2. Region R is rotated about the line x =…

A:

Q: Three regions are defined in the figure. y C (0,4) R y = 4√ √ x y = 4 x R₁ B(1,4) A (1,0) X Find the…

A: Given: To Find: To find the volume of the solid generated by by rotating the region  about the line…

Q: Question content area top Part 1 Solve the equation.   35 e Superscript 3 k Baseline equals…

A: The objective of the question is to solve the given equation for the variable 'k'. The equation is…

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection.…

A: The given function is

Q: If xy + 2 = = -x then find at the point (1, -3) in simplest form.

A:

Q: 4. Let 2x² +3 f(x) = 5 sin x X Determine if f(x) is continuous at x = 0 by computing limits. - x ≤0…

A: we are given the function  we are to determine if f(x) is continuous at x=0.We say a function f(x)…

Q: Question content area top Part 1 Find the logarithm. Give an approximation to four decimal places.…

A: The objective of this question is to find the natural logarithm (ln) of a given number, 0.000306, to…

Q: Find the derivative of: 5√x - Type your answer without fractional or negative exponents. Use sqrt(x)…

A:

Q: Problem 131. Consider the function defined by the formula below. Is this function differentiable at…

A:

Q: Average Cost JesterBoards is a small snowboard manufacturing company with fixed costs of $222 per…

A: The objective of this question is to find the average cost per board as the production increases.…

Q: What is the order of the differential equation y"-3y +6y-2y=0? Enter your answer as a numerical…

A:

Q: Find the absolute maximum f(x, y) = xy² + 3, absolute maximum value absolute minimum value and…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: A particle moves in the yz-plane along the curve represented by the vector-valued function r(t) = 2…

A:

Q: The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by…

A:

Q: Find the area under the curve y = f (x) = x² over the interval [−3, 3]. Enter the exact answer. Area…

A: The Area under the curve f( x ) from a to b is given as follows

Q: Consider the following function. y= = ²³+2/2²- - 2x + 7 (a) Find y'= f'(x). 2 F'(x)=x²+x-2 (b) Find…

A:

Q: sin (x²y²) = x

A: Given,

Q: For this exercise, refer to the cost and revenue functions to the right. The cost of producing x…

A: Consider the given figure below:

Q: Let f(x)= 1. f'(3)= 2. f'(6)= = 4 VT Evaluate each of the following:

A:

Q: Nutrition A certain company's Multigrain Cereal for Baby contains, in each serving, 65 calories and…

A: Given:Multigrain Cereal contains, in each serving, 65 calories and grams of carbohydrates.Mango…

Q: Find the volume of the solid generated by revolving the region bounded by y=4√√x and the lines…

A: To find the volume of the solid generated by revolving the region bounded by  and the lines  about…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: Solve the initial value problem. ( + 16y²x) dx + (16yx² - X dx + (16yx² - sec²y) dy= 0, y(1) = The…

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A:

Q: Solve the following initial value problem for r as a function of t. d²r dt² r(0) = 6i+j+ 3k…

A: The given differential equation is .The aim is to find the initial value problem for  as a function…

Q: Find equations of the tangent line and normal line to the curve at the specified point. y = square…

A: The objective of this question is to find the equations of the tangent line and the normal line to…

Q: Which of the following differential equations is linear? Select all that apply. D (y + 1)y + y = 0 0…

A:

Q: Question content area top Part 1 Find the equation of the line tangent to the graph of f left…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: Evaluate the function for f(x) = x + 3 and g(x) = x² - 2. (f/g) (-1) g(8) (f/g) (-1)g(8) - =

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

Q: Let f be a differentiable function such that f(1) = −3 and f'(1) = -9. What is the approximation for…

A:

Q: The angle between 0 and 2π in radians that is coterminal 55 with the angle 8 -π in radians is

A: Coterminal angles: are angles in standard position (angles with the initial side on the positive…