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Q: find the domain and range of f(x)=X5+x (the last x is supposed to be squared) and domain and range o...
A: Given information:The given function is f(x)=X5+x^2 and g(y)=1/y-2.
Q: The consumer price index (CPI) measures how prices have changed for consumers. With 1995 as a refere...
A: Given:The rate of change of CPI in dollars per year is dC/dt= 0.009t2 − 0.096t + 4.85, where t repre...
Q: Find f'(x) for f(x)=tan^3x+tan(x^3)
A: The function is given by,
Q: 1) if a•b = a•c and a ≠ 0 does b = cExplain 2) axb = axc and a ≠ 0 does b = cExplain
A: (i)Consider a.b = a.cSince a ≠ 0, dividing both the sides by a, (ii)Consider axb = axcSince a ≠ 0, d...
Q: Determine whether the following statements are true and give an explanation or counterexample.
A: Given information:
Q: Approximate the area of the shaded region using the Trapezoidal Rule and Simpson's Rule with n = 4. ...
A: Given information:The value of n is 4.
Q: Only problem I'm stuck on for this assignment please help!
A: Hi there! The question is having many sub-parts. Since no specification is given, only first three s...
Q: Consider an object moving along a line with the following velocity and initial position. vit) 9-t on...
A: Consider an object moving along a line with the velocity and initial position.
Q: Find the area of the region described. 18 The region bounded by y and y1 2 9+x The area of the regio...
A: y = 18 / (9 + x2)As a first step we need to find the points of intersection of the curve and the lin...
Q: I need help with this please. How do I find the volume generated by revolving the region bounded by ...
A: Given information:The region bounded by y = -sinx and y=0, from x= -2pi to x=0, about the x-axis
Q: y′+9x=4+7y Is y=e7x −5x+4 a solution to the differential equation shown above?
A: We have to find y is a s olution of this differential equation or not.y and differential equation i...
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: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and...
A: The equation of the plane is
Q: Find the producers' surplus at a price level of p $51 for the price-supply equation below. S(x) 5+0....
A: Given price-supply equation is,
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: dy If y 22 x, then dx 9.7 1. O 22 0. O 5. N O O O OO
A: The given equation is y=22+x.
Q: SImplify (h3-4h)/(h3-2h2)
A: Simplify the given expression as follows.
Q: Find the area, in square units, bounded by f(x)=3x+5 and g(x)=2x+1 over the interval [0,12]. Do not ...
A: Area of region between f(x) and g(x) over the interval [0,12] is computed as follows.
Q: b) and c) I tried doing it the same way I did the first one...
A: we are given rate functions as
Q: Use the following definitions to prove that lim x 0 x0+ Assume f exists for all x near a with x > a....
A: The given limit function is,
Q: Find the area of the region that lies inside both curves. r = 9 + cos(θ), r = 9 − cos(θ)
A: To calculate the area of the given region (by integration) described by polar coordinates
Q: I know it’s u-sub, but I forgot how...
A: Given information:The given integral is
Q: Which is the result?
A: The given function is,
Q: Find the area of the region inside of r = 1-sin(theta) and outside of r = 1 show all work
A: Compute the intervals of θ as follows.For the points of intersection,
Q: If l0g x=0.35 and fog6N0.5, evaluate the fo llowig expression.
A: Here, we use the above log rules.
Q: Graph the following function. Then use geometry to find the area and net area of the region describ...
A: Graphed the lines first. Area between y=3x-6,x axis and x=8 is above the x -axis (Blue shaded area)....
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: Use the graph off and f' to find the critical points and inflection points of f, the intervals on wh...
A: Finding the critical point
Q: 1) If an odd function h(x) has a local maximum value at x c, can anything be said about h at the val...
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...
Q: Suppose that the cost funtion for a commodity is C(x)= 300+6x+1/20x^2 dollars (a) Find the marginal...
A: The given Cost function for a commodity is C(x) = 300 + 6x + (1/20)x2.(a) To find the marginal cost ...
Q: Limit as x approaches 2 of (x3-8)/(x-2)
A: Obtain the value of the limit as follows.
Q: Please show as much steps as possible as I am doing my best to fully understand how to solve these t...
A: Given function is,
Q: Find all the roots of the given function.
A: There are two ways to find the roots of this equation:One way is to graph the equation and find wher...
Q: Please solve all parts.
A: You have asked multiple unrelated questions in a single post. Futher your first question has multipl...
Q: The equation abs(y/a)^n + abs(x/a)^n = 1, where n and a are positive real numbers. Make a complete ...
A: The equation abs(y/a)^n + abs(x/a)^n = 1,
Q: 8xy′+4(ln x)y)(4) +5x3 y′=−6x4 y−9xy″ What is the order of the differential equation shown above?
A: The given differential equation is, 8xy′ +4(lnx)y4 +5x3y′ = -6x4y - 9xy″.The order of the highest d...
Q: Use the derivative f'(x) = (x - 3)(x + 4)(x + 4) to determine the maxima and minima of f and the int...
A: f will be increasing if f'(x)>0. From the graph of f'(x) we see f'(x)>0 when x>3 [because a...
Q: 3x2-3-4e2x and y(0) 8, then y= If dx x3- 3x - 4e2x x3- 3x - 2e2x + 8 x3- 3x - 2e2x x3- 3x - 2e2x + 1...
A: Click to see the answer
Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...
A: The given interval is [-1,1] and the function is,
Q: A company orders and uses 6,000 cans of paint each year. Each order has a fixed shipping cost of $15...
A: It is given that,The annual usage of paint cans is 6,000.The fixed shipping cost is $150.Additional ...
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: 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: 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: Analysis of daily output of a factory shows that, on average, the number of units per hour y produce...
A: Part (a)The critical values will be where dy/dt = 0. Please see the white board.
Q: Kindly help
A: Refer to the question, we have to calculate the Taylor series for the provided function,
Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...
A: We are given equations as
Q: What is the order of the following differential equation? −4x4 y=−5ln xy
A: Given differential equation is,
Q: Evaluate the integral. Integral from nothing to nothing hyperbolic cotangent StartFraction x Over ...
A: Refer to the integral,Rewrite the hyperbolic cotangent as,
Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second squ...
A: To determine the velocity from the given conditions
Q: Hello, How do I know when the limit is since it is not going by pi/6, pi/4, pi/3, pi/2, pi, and 2pi...
A: As a first step I will respond to your specific question "What is the limit? Or how do i know when t...