2.2.31 Question Help Find the limit 1 1 8 V lim V8V8 8 lim (Type an integer or a simplified fraction.) V8V8

Q: 3i +j+ 4k and w Find the area of the parallelogram that has adjacent sides v 2i +j- 4k. The area of ...

A: The given adjacent sides are  

Q: = c and 0 0 < . Suppose that cot(0) 2 What does cos(0) equal in terms of c? (Use symbolic notation a...

A: Obtain a relation between cos and cot as follows.

Q: 2x2+y2=2 x2-2y2+8=0 Solve nonlinear equations

A: The given non-linear equations are

Q: p(t)=(100e^t)/e^t +100 Describe the size of a population at time t Find the inverse function and exp...

A: First switch t and p.

Q: Consider the given function and the given interval. f(x) = (x − 6)2,    [4, 7] (a) Find the averag...

A: Given information:The given function is

Q: please answer question 5 and 6

A: We’ll answer the first question that is question 5 since the exact one wasn’tspecified. Please submi...

Q: 21 For the position function st)t+1. Complete the following table with the appropriate average veloc...

A:

Q: Solve the equation graphically in the given interval. State each answer rounded to two decimals. (En...

A: Consider the given two function.Let y1=2+√x and y2 = √(4+x2).Sketch the above two function on the gi...

Q: Calculus Question

A:

Q: Evaluate the definite integrals

A: We substitute cosx =t and sinxdx=-dt

Q: Can you please help me step by step with this problem?

A: (a) The graph of the given function is as follows.

Q: (a) Letf (x)lnx. Use intervals of size 0.1 to estimate f (1)f (2).f (3),f (4), and f (5). Use x 1,x ...

A: We have to find first derivative in interval of size =0.1 at x=1

Q: Can i get help with this problem step by step?

A: Consider the given function and given points.

Q: Find f '(a) f(t)6t12 t 7

A: The given function is

Q: A spring on a horizontal surface can be stretched and held 0.40.4 m from its equilibrium position wi...

A: Force required to stretch the spring by x meteres from the equilibrium position is given by F = kx w...

Q: please answer all parts of question 3. thank you

A: We divide both numerator and denominator by x. Then apply limit. Answer(a): infinity

Q: Consider a student loan of ​$15,000 at a fixed APR of 9​% for 30 years.   a. Calculate the monthly p...

A: (a)Calculate the monthly payment as follows.

Q: Solve the equation by factoring. (Hint: First factor out a fractional power. Enter your answers as a...

A: Moving all the terms to one side of the equation.

Q: Evaluate the definite integrals

A: Given, 

Q: Find the area between curves

A: You have asked two unrelated questions in the same post. I will therefore address the first one. Ple...

Q: In 2010, there were about 246 million vehicles (cars and trucks) and about 308.7 million people in t...

A: Given,The rate of growth of vehicles =15.5 %And rate of growth of population =9.7 %Assume that after...

Q: Solve the equation for all solutions in the interval [0,27). COS 2 Express answer in radians in exac...

A: We first find the range of x/2It is [0,pi)So we have to find solution of x/2 in this region.

Q: Problem 2 in attached image

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question ...

Q: Evaluate the function f(x) at the given numbers (correct to six decimal places) (x)=3ex х2 3 Зx , x ...

A: The given function:

Q: Find the volume of 5 (C) using the shell method.

A: The Shell method is stated as follows.

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y=9...

A: Given,

Q: Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) real...

A: Consider the given equation for the monthly benefit by renting x apartments:

Q: 9x2+23x+4 over x3+6x2+2x+12 Solve decomposition of partial fractions

A: The fraction is

Q: Part d please

A: Left hand limit of x=0 is=0+1=1Right hand limit of x=0 is= -infinity So, at x=0 it is discontinuous

Q: Find the Volume of 5 (B) using the shell method.

A: Let R be the region bounded by the curve y = x, y = –x/2 and x = 2.This implies that y varies from–x...

Q: Graph the function and find the domain and range: y = x^2 + 5

A: We pick some values for x, for those we find ys by plugging the x values in the given equation.

Q: Use the definition of continuity, along with the One- sided continuity theorem, to determine whether...

A: We first find left and right hand limit at x=4If left hand limit=f(4)=right hand limit, then the fun...

Q: #7

A: It is given that the curves are f(x) = x2 and g(x) = 6x–2x2 bounded about the y-axis.Find the inters...

Q: An eighteen-acre building lot is five times as long as it is wide. What are it’s dimensions?

A:

Q: The function f is defined as follows. f(x)=x f(x)=4   if x≠0 if x=0   ​(a) Find the doma...

A: Hello there, Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the q...

Q: Solve number 6 (A) using the shell, disk, or washer method to find the following volumes by revoluti...

A: The given information as follows.

Q: i am having trouble with this one

A: Part (a)

Q: please help with letter c. i am having trouble drawing the graph. i know there is supposed to be a v...

A: As the derivative of any function is the slope of that function at any point

Q: #47

A: The given expression is:

Q: Let f(t)be the weight, in kilograms, of a baby as a function of her age, t, in months. a.) interpret...

A: Let f (t) be the weight in kilograms of a baby which is a function of age t in months.

Q: Solve the following system, using LU decomposition: [4 20 44 2 2 2 2 3 3

A: Consider the given information

Q: can you help me step by step please

A: To determine the ordered pair (x ,y) where tangent line is horizontal to the graph of the function y...

Q: Homework help need with this problem. Compute f'(a) algebraically for the given value of a. f(x)=x^2...

A: Derivative by algebraic method means we have to find the derivative from first principle. The formul...

Q: Let f(x) = ln x / sin^-1 x    analyze the limit : lim x--&gt; 1- (from the left) f(x)

A: Given information:The given function is

Q: In what direction is the derivative of ​f(x,y)=xy+y^2 at ​P(5​,4) equal to​ zero?

A: Given,

Q: Find the derivative of the function using the definition of derivative. f(x) px q f(x) State the dom...

A: Used the definition of derivative to find the first derivative of (px+q)Answer: f'(x)=p

Q: I need help with this Calculus problem. I am doing Section 2.7: Derivatives and Rates of Change HW o...

A: Rewrite the function f(x) as follows.

Q: Word problem of equations : a health shop owner May trail mix contain dried fruit nuts carb chips th...

A: Let there are x pounds of dried fruits, y pounds of nuts and z pounds of carb chips in the mixture.S...

Q: 4x23x 4х — 1 5 Find lim f(x) if x2 х> со

A: We apply limit x approaches infinity on every side.

Q: 4e2-1 Solve the equation e6'+2 (Give an exact answer. Use symbolic notation and fractions where need...

A: Divide both sides by e^(2-t), subtract exponents of e and simplify.