Next Problem List Previous (1 point) Find the following limit. lim cot(2x) Limit: help (limits) Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructor

Q: Find the complex zeros of the following polynomial function. Write f in factored form.   The complex...

A: Given: -

Q: 2x-3/4+8x1/4. Factor and simplify the algebraic expression

A: We first find the GCF of the terms. 2x^(-3/4) is GCF

Q: Find the directional derivative of f(x, y) = x2y3 + xy2 in the direction ~v =< −3, 7 > at the ...

A: f(x, y) = x2y3 + xy2 Please see the white board for the partial derivatives at the point (-1, 2)Henc...

Q: Find all points of intersection (r,θ) of the curves r=4cos(θ),  r=1sin(θ). Next find the area inclos...

A: Given polar curves are r = 4 cos(θ), r = 1 sin(θ).Equate the r as follows.

Q: Write the equation of the circle centered at (−5,10)(-5,10) with radius 13.

A:

Q: Suppose a company has fixed costs of $3600 and variable costs per unit of  3/4x + 1370 dollars,  whe...

A: Given variable cost per unit is 3/4x + 1370 dollars.Then variable cost for x unit is 3/4x2 + 1370x d...

Q: sin theta=1/4, theta lies in quadrant 1. find sin theta/2. Find the exact value

A: The given expression is sin(θ)=1/4 where θ lies in the first quadrant then we have to find the value...

Q: Find the standard form for the equation of a circle (x−h)2+(y−k)2=r2 with a diameter that has endpoi...

A: Consider the given equation of the circle.

Q: Calculate the average rate of change of the given function over the given interval. Specify the unit...

A: Given information:f(5)=12, f(1)=26, a=1 and b=5.

Q: The daily profit from the sale of a product is given by P = 36x − 0.2x2 − 200 dollars. (a) What leve...

A: The daily profit from the sale of a product

Q: If a ball is thrown upward at 96 feet per second from the top of a building that is 120 feet high, t...

A: Consider that a ball is thrown upward from the top of a 120 feet high building with an velocity of 9...

Q: I've been stuck on this problem for a while now and would like some help on how to answer it. I thou...

A: Given limit function is,

Q: Evaluate the definite integral

A: Given,

Q: Write the complex conjugate of the complex number. Then multiple by its complex conjugate. sq root -...

A: First we simplify sqrt(-39) and write it as complex number.

Q: True or False? If f is continuous at x=a , then f is differentiable at x=a. If false give example.

A: Does continutity of a function imply differentiability?

Q: The function A = 7.7(0.92)t represents an exponential growth or decay function.  A.      Does the fu...

A: We compare the given equation with A=a*(b^t)Here , a=7.7 and b=0.92

Q: please answer this question

A: Given, 

Q: A large western state consists of 3097 million acres of land . Approximately 46% of this land is fed...

A: From the given data, it is observed that 46% of land is federally owned.That is, 100-46 = 54% of lan...

Q: Can you explain the steps to solving this? 1.8  38) lim x->2   X3 / √x2 + x - 2

A: To evaluate the given limit (if it exists)

Q: Find equations of a line perpendicular to the lines x=y=z and x=2y=3z, passing through the origin.

A: Consider the given equations:

Q: Find the area of the surface generated when the given curve is revolved about the given axis.y=(x^(3...

A: We know that,

Q: For the following function, factor the numerator and denominator into linear terms and find the limi...

A: To find the limit of the given function at the prescribed values

Q: #5

A: The given information is,

Q: Given: f(x)=10x-x^2; find f(5)=____?

A: The given function is f(x) = 10x – x2.To obtain the value of f(5), substitute 5 for x in the given f...

Q: Evaluate  lim

A:

Q: Find the interval(s) for b such that the equation has at least one real solution and write a conject...

A: To have at least one real solution we must have b^2 - 4ac >= 0 For equation ax^2+bx+c

Q: When gas expands in a cylinder with radius r, the pressure P at any given time is a function of the ...

A: Calculation:From the given information, PV1.4 = k , P = 140 lb/in2 , V1 = 500 in3 and V1 = 900 in3Co...

Q: How do I solve the limit as x goes to 1 for the expression (sin(3x-3))/(1-x) without using l'hospita...

A: Rewrite the given expression as follows.

Q: A division of Ditton Industries manufactures the Futura model microwave oven. The daily cost (in dol...

A: Consider the given daily cost function C(x) = 0.0002x3 - 0.06x2 + 120x + 5000then The actual cost in...

Q: If f(x)=x^2 and g(x) is the graph of f(x) shifted to the right 3 units, stretched vertically by a fa...

A: When f(x) shifts 3 units right then it becomes f(x-3)

Q: Solve for yy. −4y+9(−5y−3)=−8−3(−2−y)

A: We have a linear equation in one variable. As a first step let's collect all the terms that contain ...

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: Find a parametrization of the circle of radius 5 parallel to the yz-plane with center (-1, 4, 6).

A: The general form of a parametrization of the circle of radius r parallel to yz-plane with center (x0...

Q: For the vectors u = (-2,2, -1) and v (-2,1, 3), expressu as the sum u =p n, where p is parallel to v...

A: To find the orthogonal decomposition of the vector u along and perpendicular to v

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: I’m sorry, I meant #4

A: Let x= 3 sin uSo, dx= 3 cos u du

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified...

A: The volume is given by the formula,

Q: Use Cramer's rule and solve 6x-4z=26 7x+8y+5z=122 9x-9y=54

A: Use Cramer’srule and solve.

Q: Find the average value have of the function h on the given interval. h(u) = (ln(u))/u,    [1, 8]

A: The formula for average of a function h(u) over the interval [a, b] is given by the expression on th...

Q: -12x-y=40 y=x2-8 Solve these nonlinear equations

A: Consider the given nonlinear equation as,

Q: How do I solve this question? The altitude of a right triangle is 18 cm. Let h be the length of the ...

A: Let a and b be length of altitude and base of triangle respectively. It is given that length of hypo...

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the...

A: Given Curves are

Q: In the process of working on a problem with logarithmic and exponential functions I came across a de...

A: Consider the given function.

Q: A rock is dropped from a height of 64ft. Its height above ground at time t seconds later is given by...

A: Instantaneous velocity at t=1 is ds/dt at t=1 , that is s'(1).

Q: I am just stuck on this question:   Find an equation of the line that is tangent to the graph of f a...

A:

Q: for the limit lim x->infinity (x^2/2^x) i am supposed to create a table of x at 1,2,3,4,5,6,7,8,9...

A: Created the table using the equation and calculator.

Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

Q: The point P(9, -3) lies on the curve y 3/(8 x) (a) If Q is the point (x, 3/(8 - x)), use your calcul...

A: The given point P(9, –3) lies on the curve y = 3/(8 – x).Let Q (x, 3/(8 – x)) be the point on the cu...

Q: xy=20 x2+y2=41 Solve nonlinear equations

A: Solve the given nonlinear equations as follows.

Q: Find the indicated one sided limit. lim x->1+ (x+7/x+1)

A: To evaluate the required one-sided limit