3x 11 I < -2 f(x)%3= 1. N-2

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

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Q: Using the properties of logarithms, solve the following logarithmic equation.log_4(x)+log_4(1/12)+lo...

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Q: 5 3 (a) Suppose the coefficient matrix is A = 6 -3 -1 and use it to write the solution matrix Find A...

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Q: Help

A: The given equation is: xy'=4x+3y3⇒xdydx=4x+3y3⇒y3dy=4x+3xdx⇒y3dy=4+3xdx⇒∫y3dy=∫4+3xdx+C⇒y44=4x+3ln x...

Q: Identify the domain and range of the function:

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Q: A polynomial P is given. (a) Find all the real zeros of P. (b) Sketch a graph of P. P(x) = x3 - 3x2 ...

A: Given: The polynomial Px=x3-3x2-4x+12, To determine: All the real zeros of the polynomial P,  The ...

Q: Suppose that f has domain [ 4, 8] and range [2, 6]. Find the domain and range of: (a) y = f(x) +3   ...

A: Solution: (a) Consider the given function is: y = f(x) + 3 Since we have given that the domain of f(...

Q: 75. DISCUSS: Impossible Division? Suppose you were asked to solve the following two problems on a te...

A: Polynomials Well, we can also divide polynomials f(x) ÷ d(x) = q(x) with a remainder of r(x) But it ...

Q: At what point on the curve y^2-1+2x=0 is the tangent line parallel to the line 3y-x=5.

A:

Q: If e is an acute angle and cos 0 1 find csc

A: cosθ=13 and cscπ2-θ

Q: A bagel store orders cream cheese from three suppliers, Cheesy Cream Corp. (CCC), Super Smooth &amp;...

A: Given that the store ordered the same amount from CCC and BBF Lets take order from CCC = x tons orde...

Q: Compute the double integral (either in the order of integration given or with the order reversed). L...

A: Given : I = ∫01∫sin-1(y)π21 + cos2(x) cos(x).dxdy To find : Value of given double integral Solution ...

Q: dy Simplify your answer. HINT [See Examples 1 and 2.] dx Calculate 3x y = 2x + 4 dy dx

A: We have to find derivative

Q: Can you do number 6

A: Here, we need to find the area of the regions bounded by x=-y+52+1, x=1, y=0. Let us first plot the ...

Q: Find the first derivative for each in the form of dy/dx  show all work please 4.) y=xe^-2x + e^(x^3)

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Q: x=5+e(2t) y=1-e(t)

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Q: Solve the following Ordinary differential equation?

A: Given the Ordinary differential equation:  

Q: a. Find the acceleration a(t) for the particle at time t≥0. b. Find all times t, 0 ≤ t ≤ 2 for which...

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Q: a?z 2 at2 a²z 5) Solve the Partial Differential Equation -

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Q: Show that the given value(s) of c are zeros of P(x), and find all other zeros of P(x). P(x) = 3x4 - ...

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Q: A triangle is defined by the three points: A = (3,9) В - (5,7) C = (2,5). Determine all three angles...

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Q: Find the points of intersection of the given curves. Please show work with "exact" answers

A: given curves are                                                              r=sin θr=sin (2θ) we k...

Q: Evaluate the following integral. 1/2 I sinx sin y dz dx dy 0 0 0

A: Given integral   ∫0π2∫0π∫0sinxsinydzdxdy

Q: a. At what time t does the cave's salamander population reach its maximum?

A: Given : At time t population of  cave's salamander is 317 and population as a function as a time is ...

Q: Sketch the graph and draw several vertical and horizontal traces.  f (x, y) = sin(x − y)

A: Sketch the graph and draw several vertical and horizontal traces.  f (x, y) = sin(x − y)

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the f...

Q: Find the position x(t) for the particle at time t≥0 given that x(1)=0.

A: Use the defination of velocity than solve the differential equation by separation of variables.

Q: Find Vlak[ for the series. k k Σ k + 12 k=0

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Q: Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2.   (fg)(5) + f(4)

A: f(X) = X+3 g(X) = x2-2 Find fog(5)+f(4) 

Q: f(x) = x/7 + 7 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) %...

A: Given function                                                   f(x)=x17+7 For critical point, incr...

Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direct...

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Q: A tiger is 45 ft directly south of a herd of elephants. The tiger starts to slink towards the elepha...

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Q: Prove that a function has an inverse function if and only if it is one-to-one?

A: We have to show that the function has an inverse function if and only if it is one-to-one.  Let us d...

Q: 3x-7 lim zー8 Sx +1

A: limx→∞3x-75x+1

Q: To solve an oblique triangle given three sides (SSS), the first step is to find the angle opposite t...

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Q: find the most general ntiderivative f(x) = 4 sec2(x) + 3 sec x tan x

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Q: Find all the real zeros of teh polynomial. Use the Quadratic Formula if necessary given. P(x) = 3x3 ...

A: Zeroes of polynomial are value of x for which polynomial return 0 value for the function.

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 4x2 + 12x + 5,  c = -1

A: We have been given the polynomial P(x) = 4x2 + 12x + 5 , c = -1 

Q: Find and classify the stationary points of y= In 2x - 2x

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Q: xy dA, where R is the trianglex +y 0, y > 0. R Evaluate the integral Enter the exact answer. xy dA =...

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Q: Write each expression as a single logarithm

A: Given: 3log53x+1-2log52x-1-log5x

Q: Factor the polynomial completely, and find all its zeros. State the multiplicity of each zero. P(x) ...

A: To find the zeros

Q: Please show all the work.

A: Given the equation w = xy2-3y2z+3z2 x = r2+4s y = rs3 z = -rss2+2

Q: Find the volumes of the solids generated by revolving the regions bounded by the lines and curves x ...

A: To find the volume of the solid generated by revolving the regions bounded by the lines and the curv...

Q: What is u × w, assuming that w × u = 〈2, 2, 1〉?

A: Given,w×u=2,2,1 To find:u×w Solution: We know ,by property of cross product of two vectors (say,a an...

Q: Find the first derivative for each in the form of dy/dx   1.)  y= 3root(x^2)- 3/x^3 + e^ -5x + ln(7x...

A: Explanation of the answer is as follows

Q: Given two functions f(x) and g(x) with f(1) = 27, g(2) = 1, f'(1) = 204, g'(2) = 22. What is the der...

A: Given that for functions f(x) and g(x) f(1) = 27, g(2) = 1, f'(1) = 204, g'(2) = 22 To find derivati...

Q: 4. Determine the resultant of the forces: F, = 440 N [N29°E] and F2 = 275 N [S23°E]. %3D Answer:

A: By using vector addition.

Q: Let y=sqrtX. Find dy/dt when x=4 and dx/dt=3

A: →Use chain rule of differentiation.→dxndx = n xn-1     When n = 12         dx12dx = 12 x12-1    ⇒dxd...

Q: dz dz Draw a dependency diagram, and write a chain rule formula for and an where z = h(r) and r g(m,...

A: From the two function we can say that z is a function of r and r is a function of m and n, so z is d...

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.