N W- E 55° S

Q: Consider f(x) = xe−kx for k > 0. Find the relative extrema and the points of inflection of the fu...

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Q: Check for symmetry and then graph the polar equation: r = 1 - cos θ.

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Q: Find the exact trigonometric ratios for the angle x whose radian measure is -3pi

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Q: Find the length and the midpoint of the line segment whose endpoints are (2, -2) and (5, 2).

A: Length of the line segment is the distance between the given points. That is,

Q: The area A of a triangle with two sides of equal length a is given by A = /P(P- a)²(P – b) where b i...

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Q: Which hyperbolic identity corresponds to the trigonometric identity                    sin2x = (1 − ...

A: Given 

Q: Solve the equation. dx = 8xt* dt

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Q: Use the Rational Zero Theorem to list all possible rational zeros for the function f(x) = 3x4 - 11x3...

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Q: Graph the functions in parts (a) and (b) in the same rectangular coordinate system : Graph the funct...

A: (a) Given that, f(x) = x3.  The ordered pairs are: (-2, f(-2)) = (-2, (-2)3) = (-2, -8) (-1, f(-1)) ...

Q: Use Theorem Directional Derivative to find the directional derivative of the function f(x, y) = x2 +...

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Q: Evaluate the limit.

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Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller ...

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Q: Find

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Q: Write the equation in its equivalent exponential form: 2 = log9 x

A: Solution: we are given 2=log9x 2=log10(x)/log10(9);       (because, log(10)=1) 2 log10(9)= log10(x)...

Q: Find the solutions of the following LAGRANGE AND CLAIRAUT differential equations.

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Q: Evaluate the indefinite integral

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Q: Area of a curve defined implicitly Determine the area of the shaded region bounded by the curve x2 =...

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Q: or f(x) = Vx – 1, g(x) = x² - 3, find fog and go f. Give the domain of each mposition

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Q: Match each equation with its graph. Do not use a graphing device, and give reasons for your answer. ...

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Q: A pen in the shape of an isosceles right triangle with legs of length x ft and hypotenuse of length ...

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Q: Find the indefinite integral and check the result by differentiation                  ∫3√(3 − 4x2)(−...

A: C=integrating constant   

Q: cosa²dxdy =?

A: Given data:     The given integral is: .   The expression for the change in the order of integration...

Q: find the indefinite integral of e^(x)sqrt(8-e^x) dx

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Q: The figure shows the graph of f(x) = ex. Use transformations of this graph to graph the function h(x...

A: The graph of f(x) = ex is as below:

Q: Evaluate the indefinite integral

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Q: The equation cos x = x has exactly one solution. (a) Use a graph to show that the equation cos x = 0...

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Q: Integrate G(x, y, z) = xyz over the surface of the cube cut from the first octant by the planes x = ...

A: Here, the surface is in the first octant. Therefore, the integration is

Q: Graph the equation f(x) = | x | - 4 in a rectangular coordinate system.

A: Given equation,  f(x) = | x | - 4 We have to plot the graph of f(x) on a rectangular coordinate syst...

Q: Evaluate each expression using the graphs of y f(x) and y = g(x) shown below. (a) (g o f)(– 1) (b) (...

A: (a) (g o f) (-1) The graph of the functions y = f(x) and y = g(x) are shown in the figure.

Q: Find z = f (x, y) and use the total differential to approximate the quantity.

A: Given: The expression

Q: Find the vertical asymptote for y = 1+7x²+32*

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Q: Find ∇f(x, y, z) for the function f(x, y, z) = x2 + y2 − 4z and find the direction of maximum increa...

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Q: If the interval [4, 18] is partitioned into n = 28 subintervals of equal length, what is Δx?

A: Total length of [4,18] is (18-4)=14  Given that, n= number of partitions= 28     

Q: Eva luate 2w at x -y=Z=l i W= (oS(uv) u = X2 and V =

A: Note : As per the authoring guidelines, when there multiple questions, only one question need to be ...

Q: #23

A: Given function is We need to find the limit graphically at a=5.

Q: Convert the point . (−2, 2√3, 4) from rectangular coordinates to spherical coordinates.

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Q: State the name of the property illustrated as 11 . (7 + 4) = 11 . 7 + 11 . 4

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Q: Consider the following function. X + 6 f(x) = x2 (a) Find the critical numbers of f, if any. (Enter ...

A: Given

Q: Solve the absolute value equation or indicate the equation has no solution :   2 l4 - (5/2). xl + 6 ...

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Q: 4. Evaluate fp (2x – 2y)/x+y dA where R is bounded by y = x, y = x – 1, x + y= 0, and x+y= 3.

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Q: Find distance the poinl- the between CziZ16) * +y=0, J -Z = the line

A: Consider the given equation of a line: Here the objective is to find the distance between point p a...

Q: Find distance the poinl- the between Cziz16) f * +y=0, J - Z =1 the line

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x5 on the in...

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Q: In this problem we assume that fish are caught at a constant rate h independent of the size of the f...

A: We have given the differential equation;  

Q: Express the lengths a and b in the figure in terms of theta. a = b=

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