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Q: Find y' if x^y = y^x .

A: Given,

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

A: Click to see the answer

Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: The function s(x) = 3600/(60 + x) = 3600(60 + x)^-1 gives a person's average speed in miles per hour...

A: The function of distance,

Q: Find the function which solves the initial value problem dy/dx= 3ex −2x; y(0)=−1.

A: Given that dy/dx = 3ex-2x; y(0) = 1.dy = (3ex-2x)dx (By cross multiplying)Integrate on ...

Q: 3ln xy′−9x2 y′=4x4 What is the order of the differential equation shown above?

A: The given differential equation is ,3ln xy′−9x2 y′=4x4 The order of the differential equation is th...

Q: Find the relative maxima, relative minima, horizontal points of inflection, and sketch the graph for...

A: The given function is,

Q: Please be specific. Convergent but A? C? F?

A: We are given a series as

Q: Consider the differential equation dy/dt = y−y2. Given that y(0)=0.5, solve the differential equatio...

A: To find the expression for y(t) and find the limit y(t) as t tends to infinity

Q: Can somebody help me on how to evaluate the integral.

A: Refer to the question, first evaluate the given integral in indefinite form that is with the limits.

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: What is the position at time t of a car that is accelerating at a rate of 5 meters per second square...

A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)

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

A: The given function is f(x)=(7x2-70x)/(x2-100).The limit is to be calculated.

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: 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: Use the Divergence Theorem to compute the net outward flux of the field F=<x,2y,-z> across the...

A: From the Divergence theorem, for a positively oriented boundary surface (outward Normal) of region E...

Q: Find an equation of the tangent line to the curve at the given point. y x-2x + 1, (2, 5) Need Help? ...

A: We know that the value of slope of tangent to the curve y=f(x) at (a,b) is the value of dy/dx at (a...

Q: Use Newton's method to approximate all intersection points of the following pair of curves. Round to...

A: Before we get into the solution of the question, let's understand a bit about Newton's method. If xn...

Q: 1) The substitution u = tanx gives∫(sec2x.tanx)dx = ∫(x)du = 1/2.u2 + C = 1/2.tan2x + CThe substitut...

A: Yes, both integrations are correct by their respective substitutions.Reason:An integral of a functio...

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: Answers for 10-12

A: We will solve Q-10

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: C). Find an 'n' where Midpoint Rule would guarantee estimation within 6 decimal places.

A: Let's get the concepts in place, before we proceed to solve this.For an integral I (as shown on the ...

Q: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal t...

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

A: Given information:The given function is

Q: How do I choose my g(u,v) and h(u,v)?

A: The double integral is given by,

Q: Compute the directional derivative of g(x,y)=sin(pi(5x-5y)) at point P(1,-3) in the direction (15/17...

A: Firstly, we calculate unit vector in direction of vector u.

Q: Help please..

A: The general Taylor series for ex at x = 0 is as follows.

Q: An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is O y14x-9 Oy 14x71 O...

A: The curve is given by,

Q: Determine whether the alternating series converges or diverges

A: Check whether the series is convergent or divergent.

Q: Determine the interval(s) on which the following function is continuous, then analyze the given limi...

A: (2+2cosx) and sinx both are continuous functions. So the function (2+2cos x)/sinx will be discontinu...

Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent wil...

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the ...

A: Consider the provided curve:

Q: One of parts (a) and (b) can be integrated with the Power Rule and the other cannot. Integrate with ...

A: (a) can be integrated using power rule. (b) can not be integrated using power rule because (b) has t...

Q: You must get from a point P on the straight shore of a lake to a stranded swimmer who is 60 meters f...

A: Let, "u" be the velocity at which you can swim and "v" be the velocity at which you can run.u = 2 m ...

Q: Does the series converge absolutely, converge conditionally, or diverge?

A: The given series is

Q: Help me please

A: The general Taylor series for sin x at x = 0 is as follows.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The function is defined as

Q: If p 8m2-9m + 3, then the rate of change of p with respect to m when m 1 is 16. 1 -9, 7. 2.

A: Approach:A clear relationship between "p" and "m" is given"p" is dependent variable while "m" is the...

Q: what are the steps to solving |x-4| > 9

A: We have to solve the inequality.Inequality is given below:

Q: Calculus Question

A: We are given function , interval and number of rectangles

Q: Is y=e6x −3x−2 a solution to the differential equation shown below? y′−6y=7x+3

A: Here given differential equation is:Find the solution of given differential equation and match the g...

Q: Does the series converge absolutely, converge conditionally, or diverge?

A: The given series is

Q: The heat flow vector field for conducting objects is F=−k∇T, where T(x,y,z) is the temperature in t...

A: Assume k = 1.Then the vector field becomes, F = −∇T.Find ∇T as follows.

Q: The rate at which blood pressure decreases in the aorta of a normal adult after a hearbeat is dp/dt=...

A: It is given that rate at which the blood pressure decreases in the normal adult is dp/dt=–46.645e–0....

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

A: we are given functions as

Q: Optimization Problem A rectangle is constructed with its base on the diameter of a semicircle with r...

A: a)Let x and y be the base and height of the rectangle, respectively.Given that, the rectangle is con...

Q: Find a particular solution to the differential equation below that passes through the point (−3,−5)....

A: The given differential equation is y’ = 5x–5.

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the ...

A: The given curve is y = x^2/3, x=1 and y=0.