16m 20 m

Q: Use the following instructions to make a function f(x) and differentiate the function by using the a...

A: (1) f(x)=ax4+bx3+cx2+dx+e f'(x)=addx(x4)+bddx(x3)+cddx(x2)+dddx(x)+ddx(e)        =4ax3+3bx2+2cx+d   ...

Q: True or False The eccentricity e of an ellipse is c / a, where a isthe distance of a vertex from the...

A:  The eccentricity e of an ellipse is ca, where a is the distance of a vertex from the center and c i...

Q: Solve the following problems and write the givens, what to maximize, and thesolution.

A:

Q: dy = 1 dx 8 5/3 Find a he graph below shows solution curves of the differential equation quation for...

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Q: An aluminum can is to be constructed to contain 1300cm3 of liquid.Let r and h be the radius of the b...

A:

Q: Explain why a function must be one-to-one in order to havean inverse that is a function. Use the fun...

A: One-to-one functions are those that have only one y-values for each x-values, that is, there is only...

Q: A circle has a radius of 19 m. Find the radian measure of the central angle 0 that intercepts an arc...

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Q: Finding the Area of a Sector of a CircleFind the area of the sector of a circle of radius 2 feet for...

A: A sector has radius 2 feet and formed by angle 30°

Q: In Problems 57–68, the rectangular coordinates of a point are given. Find polar coordinates for each...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: sketch the graphof the function and state its domain. f (x) = 3 ln x

A: A graph of a function in a cartesian coordinate system, is a set of ordered pairs of points (x,y) wh...

Q: Evaluate the improper integral if it converges, or state that it diver - 1 dx 1 8 Diverges

A: We have to check

Q: The ________ ________ ________ ________ between any two points (x1, f(x1)) and (x2, f(x2)) is the sl...

A: The slope of a line, m passing through two points, (x1,f(x1)) and (x2,f(x2)) is given by m=f(x2)-f(x...

Q: Proof Prove that if f and g are one-to-one functions, then( f g)−1(x) = (g−1 f −1)(x).

A: To prove(fg)-1(x)=(g-1f-1)(x)

Q: Find the inverse Do numbers 9 and 10

A:

Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. g(x)=3(4-9 x)^{5 / 6}

A: Given : The function is g(x) = 34 - 9x56 .  

Q: Solve   f(x) = 0-3e-1

A: Given that fx=0-3e-1   Using calculator, we get fx=0-3e-1=-3e=-1.103  

Q: 15. Calculate (41 + 3, r?. –4r³)dt.

A: To calculate: ∫034t+3, t2,-4t3dt Solution: Power rule of integration states that: ∫xndx=xn+1n+1 Solv...

Q: (a) Find a vector parallel to the line of intersection of the planes 4x – y – 3z = 6 and -5x + 4y – ...

A: According to question given thatplanes equation 4x-y-3z=6-5x+4y-4z=3

Q: first question

A: Given problem is :

Q: Consider the function g(x) =2x³ - 6x+3. The critical values for this function are and since these ar...

A: We have to find critical points

Q: Integrate with respect to x, the square root of (1-cos5x)/2

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Q: Show that a particle, located at the origin at t = 1 and moving along the x-axis with velocity v(t) ...

A: Consider the provided information, vt=t-2 Show that a particle, located at the origin at t = 1 and m...

Q: Find the real solutions, if any, of the equation e x2-9 = 1.

A: To find real solution (if any) of ex2-9=1

Q: Convert the integral below to polar coordinates and evaluate the integral.

A: we have to calculate the integral

Q: Evaluate the integral given.

A: Integrals in some cases can be simplified to standard integrals with relevant substitution. For exam...

Q: Find integral.

A: Given the integral  I = ∫ex sin exdx To evaluate the integral By using substitution method, Take  u ...

Q: Find parametric equations for the arc of a circle of radius 7 from (0,0) to Q = (14,0). æ(t) y(t) wi...

A: Given that  Radius of circle is 7  P(0,0)to Q(14,0) To find the parametric equations of the circle

Q: Differentiate the function.   y = x + 1/ex

A: Case (I): If we have the given function as y=x+1ex        ⋯⋯1 We know that, from the quotient rule o...

Q: Let U= {1,2,. 1} be the universal set. Let A={x|x eU,x is a multiple of 6, B={x\xeU,xis a multiple o...

A: Given: U={1,2,...16} A={x|x∈U, x is a multiple of 6} B={x|x∈U, x is a multiple of 5} C={1,2,5,6,12,1...

Q: Can you please show all work

A:

Q: help

A: Please see the answer in step 2

Q: 18. f (x) = x3 − cos x

A: f(x) = x3−cos(x)d f(x)dx=ddxx3−cos(x)            =ddx(x3)+ddx(-cos x)            =3x2-ddx(cos x)

Q: Calculate the double integral of f (x, y) = x + y over the domainD = {(x, y) : x2 + y2 ≤ 4, y ≥ 0}.

A: We know that double integral of f(x, y) over the region is, ∫∫Df(x, y)dA=∫∫Df(x, y)dxdy

Q: FIND dy/dx FOR EACH FUNCTION. 1. y = (3x² + 3x - 1)4 2. y = (5-2x)-2 3. y = cos3 (πx) 4. y = (2x3 - ...

A: Disclaimer: Since you have posted a question with multiple questions, we will solve the first three ...

Q: Find the equation of the tangent line(s) to the following set of parametric equations at the given p...

A: The equation of a line can be obtained by using the expression y-y1=m(x-x1). Here, m is the slope of...

Q: show me how to solve this probelm step by step with the work written out like the second picture

A:

Q: Find the derivative of the function. y = x2 csc x

A: The derivative of any function y=f(x) for the variable x is defined as the rate of change,for which ...

Q: Please write it in your own handwriting.

A: (1) Consider the given vectors x=-2i+3j-k and y=i-2k   We have to find x×y   Now, x×y=ijk-2   3-11 0...

Q: Solve log 5e=0.27

A: log5e=0.27

Q: Solve log5 125x2

A: To simplify: log5(125x2) Solution: Given expression is: log5(125x2) On simplifying further we get: l...

Q: Find the exact value of each expression.Do not use a calculator.

A: To find the exact value of the expression: 2sinπ3-3tanπ6 Solution: We know that, sinπ3=32 and tanπ6=...

Q: Calclusss

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Q: Find the eccentricity of an ellipse whose latus - rectum is (i) Half of its minor axis (ii) Half of ...

A: We have to find the eccentricity of the ellipse whose latus - rectum is  1) half of its minor axis. ...

Q: answer differential equation questions thank you im stuck

A: Given: The ODE form d2ydx2+2pxdydx+px2+p'xy=qx, and integrating factor I=exp∫pxdx, To show: The give...

Q: Computing Work A wagon is pulled horizontally by exertinga force of 20 pounds on the handle at an an...

A: Given : Computing Work A wagon is pulled horizontally by exerting a force of 20 pounds on the handle...

Q: The following graph contains y = b* and y = log,(x) for vari- ous values of b (namely 2, e and 10) l...

A: We have to graph the functions y=bx and y=logax for b=2,e, and 10.

Q: show me how to solve this problem step by step with steps written out like the second picture

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Q: Solve the second-order equation xy" + 2y' 8x? by making the substitution u -y'.

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Q: Finding Linear SpeedA child is spinning a rock at the end of a 2-foot rope at the rate of 180 revolu...

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Q: Please answer this with complete solution.

A:

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.