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Q: a), b) and c) please. I also forgot how to write interval notation....

A: To find the direction we have to graph the function v(t)= 3t^2-36t+105 ; [0,8]. And then we check th...

Q: I need help please.

A: Rewrite the given series and proceed further.

Q: 1. Given the function f(x) x-4x (a) Determine if the function x) defined on Theorem. If so, find the...

A: a) To check whether the given function satifies the Rolle\\\\\\'s theorem over the interval [0, 4] o...

Q: y′−6x=5+2y y(0)=−3 Is y=e2x −3x−4 a solution to the initial value problem shown above?

A: The given differential equation is y′−6x=5+2y.The solution of the deferential equation is given as, ...

Q: Show that f(x, y) = ln(x2 + y2) solves Laplace's equation, ∂2z ∂x2 + ∂2z ∂y2 = 0...

A: Given Laplace’s equation is

Q: please show ALL your steps

A: we are given a function

Q: find the exact length of the curve of the equation in the picture below make sure to show all work

A: The given curve equation is,

Q: Help with #5

A: Given curve: r(t) = (2cost)i + (2sint)j + tkRecall the expressions for unit tanget and principal uni...

Q: Use Green's Theorem to evaluate the line integral. Assume curve is oriented counterclockwise. C is t...

A: Let's compare the given integrand with the standard form.(2x + ln 2)dy - (8y2 + sinhx)dx =Q.dy + P.d...

Q: Need help solving the equation that is attached

A: x->4^+ means x is slightly greater than 4. That means we have to use the part when x>4 to find...

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: We have to plug x=5 first in the given expression.

Q: If y x4x+3, then 2ix+3ix3 2i 3ix3 O (4x+1)/4x+3 2Ax+3 2x vi3Ar3

A: The function is given by,

Q: SImplify (h3-4h)/(h3-2h2)

A: Simplify the given expression as follows.

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: could you help me with this problem please

A: Given,

Q: A fence is to enclose a lot with area 100 square meters. The front of the fence (considered the east...

A: Let the length of the east-west side is = x meter and the length of the north-south side is = y mete...

Q: Write the iterated integral for a sphere centered at (0,0,0) with a radius of 2. Use the order dz dx...

A: From the given the sphere equation is x2+y2+z2=22.

Q: For the following function f, find the antiderivative F that satisfies the given condition. F(v) =

A: First, we find the general solution using integration.

Q: Solve for complex x. e^(x^2+4x)=8

A: Solve the equation e^(x^2+4x) = 8 for complex x as follows.

Q: Please sketch this by hand! And show all your steps as im doing my best to fully understand the proc...

A: (A) The function has an absolute maximum but no local maximum. This means the graph is strictly incr...

Q: Which of the following limits could be evaluated using L'Hopital's Rule? Indicate all the apply. Sel...

A: (A) This limit was not in form 0/0 or infinity/infinity. So we can\'t apply L\'Hospital\'s rule for ...

Q: If fx)x3x+1 then fx) (In x]3x (3x+1}x3x (2x+ In xr3x+ 1 3x13r 3 Inx 3x+13 In x

A: Note:Hi there! Thank you for posting the question. The first line in the image is not very clear. Ho...

Q: 4. Two stationary patrol cars equipped with radar are 6 miles apart on a highway. A truck passes a p...

A: Using Mean value theoremt,to calculate the speed limit of the truck driver passing the second patrol...

Q: Please help me find the length of the curve

A: We\'ll use arc length formula with a=pi/2, b=2pi/3.

Q: Use Green's Theorem to evaluate the line integral oriented counterclockwise. Please refer to attach...

A: Given information:The circulation of the line integral of F=<3x^2, 6x^3+y>. where C be the bou...

Q: Usel'Hôpital'sRule to find the following limit.

A: To use L'Hopital's rule we try to get 0/0 form or infinity/infinity form first. We write x^2*cotx as...

Q: Hello, I need help explaining how pi(k)/2 came about, I know where pi/4 came from. Thank you for th...

A: Consider the provided trigonometry equation.

Q: Help with #4

A: Click to see the answer

Q: How can I get the result? Which is the result?

A: The given functions are,

Q: Marginal Revenue. Suppose the total revenue function for a blender is R(x)= 36x-0.01x2 dollars where...

A: The total revenue function for a blender is R(x)= 36x-0.01x2 dollars where x is the number of units ...

Q: 15. A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 6 feet above ...

A: I have made use of the diagram in the question and added additional labels. Please see the white boa...

Q: Suppose you are standing in a field near a straight section of railroad tracks just as the locomotiv...

A: As a first step, let's convert the given information in a diagram. Please see the white board.Let A ...

Q: Please help me about this.

A: The radius of convergence is 4 which can be computed as follows.

Q: Use the derivative f' to determine local minima and maxima of f and the intervals of increase and de...

A: When f'(x)>0 then f(x) is increasing. Answer: f(x) is increasing in (-4pi/3,-pi)U(-2pi/3,-pi/3)U(...

Q: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

A: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

Q: Let H(x)=4f(x) + 5g(x), where the graphs of f and g are shown in the figure. Find H`(1).

A: Firstly, we find the function y=f(x) , which is linear function , as it is a equation of straight ...

Q: Find the flux of the following vector field across the given surface with the specified orientation....

A: Let r be the vector on the surface of the cylinder y=6x2 for 0 ≤ x ≤ 4, 0 ≤ z ≤ 2.Let's parameter...

Q: The graphs of y=1.1x and y=x have two points of intersection, while the graphs of y=2^x and y=x have...

A: Here, we are given that for a real number 1< p < 2 , the graphs of y=px and y=x have exactly o...

Q: How can I get the result? Which is the result?

A: To find the equation of the tangent line approximation T to the graph of f at the given point.The gi...

Q: Please help me solve this differential equation.

A: Let, z=x-y

Q: find the derivative of f(x)= 2x^3 + 4e^3

A: Given information:The given function is

Q: Suppose that the rate at which the concentration of a drug in the blood changes with respect to time...

A: Given:The rate of change of concentration of a drug in blood with respect to time t is

Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2 ]

A: Given:The function is f(x) = e−4x .Definition used:The average value of a function f(x) on the inter...

Q: Use the Divergence Theorem to compute the net outward flux of the field F=(2x, 3y, -z) across the s...

A: To calculate the net outward flux of the given vector field across the given surface

Q: 3x2-3 and y(0) = 8, then y(1) = If dx 4. 12. 0. 8 6.

A: As a first step, let\'s rearrange the term. Please see the white board.

Q: How can I get the result? Which is the result?

A: The given function is given by

Q: How can I get the result? Which is the result?

A: The definite integral is given as

Q: Evaluate the integral in cylindrical coordinates. Please see attached image.

A: To calculate the value of the integral in cylindrical coordinates which is shown below,

Q: Help me please..

A: The Taylor series for cosx at x=0.

Q: find the exact length of the curve of the equation below, show all work y = ln(sec(x)), with a range...

A: First, we find the dy/dx

Transcribed Image Text

f(x) -21 has an infinite discontinuity at x-9. x-9 True b.False a. 0