Sketch the graph of the following function.   Find . dy/dx and d^2y/dx^2 Draw number lines showing where curve is rising, falling, concave up and concave down.  Sketch the curve showing all relative maximum, relative minimum and inflection points.  y=-x^4/2+2x^3-8

Q: Sketch a direction field for the following equation. Then sketch the solution curve that corresponds...

A:

Q: Need ans asap.

A:

Q: Tara bought a property by agreeing to make semi-annual payments of $2000 for twelve years. If the fi...

A: First we need to find the future value or the total amount paid by Tara. Then we can find the princi...

Q: Please answer question completely and give correct answers thanks

A:

Q: 3. Evaluate : 7644 mod 645 (use modular exponentiation) 4. Evaluate : 1231001 mod 101 (use modular e...

A: To evaluate 7644mod 645 74≡466mod 64574161≡466161mod 645 Now,  4662≡436mod 645466280≡43680mod 645 Ag...

Q: Please answer question completely and give correct answers thanks

A:

Q: Test the continuity of the function f(x): 3 — х X +1 2<x <3 3< X< 4 F(x) = 2х — 1 X= 4

A: polynomial functions is everywhere continuous except its branch point , hence F(x) is everywhere con...

Q: number 7 only: 3.1 section

A: In a triangle, midpoints of the sides are joined. We will give answer based on the diagram provided.

Q: Click image

A: Solution: The objective is to find the value of A

Q: Rose has saved $160,000. If she decides to withdraw $2500 at the beginning of each month knowing the...

A: From the given, Amount (A) = $160,000 Principle amount (P) = $2500 Rate = 5% per annum Then R =0.052...

Q: Just multiple choice on both 3 and 4

A:

Q: Does H contain the zero vector of V? Is H closed under addition and scalar multiplication? Is H a su...

A:

Q: 12.Find the volume of the solid that is bounded above by the cylinder (z=x) and below by the region ...

A: Given equation of cylinder, z=x2 and the equation of parabola, y=2-x2 and the line y=x To find the v...

Q: Advanced Math Question

A: Note:  Associative property: Let a, b, c are three real numbers then                a+(b+c)= (a+b) +...

Q: Hi, I need help with this Linear Alegebra exercise, please. Thank you!

A: Given that  β={1+x, 1-x} and β'={u1,u2} are order bases for P1(ℝ) and            Q=2-145    is the m...

Q: Exercise Prove that: 1. (R, J- |) is a complete metric space. 2. (Q. I-1) is not complete metric spa...

A:

Q: 1. Find the binary expansion of (233)10-

A: Here, given expression in decimal is (233)10.

Q: The graph of the parent function is given.  Sketch the function in the space provided and be sure to...

A:

Q: Solve the initial value problems.

A:

Q: A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a p...

A:

Q: Please answer question completely and give correct answers thanks

A:

Q: Suppose a E Z. Prove that if a³ 1 (mod 5), then a # 1 (mod 5).

A: In this question, we use the method of contradiction to prove the desired result.

Q: Please help with this

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

Q: Indicate whether the following equality is true and justify your answer:

A:

Q: help with these math questions  1) Suppose you deposit $75 every month for 21 (variable) years into ...

A:

Q: Please answer question completely and give correct answers thanks

A:

Q: Let bo, b,, b2,... be defined by the formula b, = 4" for every integern2 0. Fill in the blanks to sh...

A:

Q: Please answer question completely and give correct answers thanks

A: Let {U1, U2, U3, U4} be a linearly dependent set of vectors "When at least one of the vectors from a...

Q: O If a group G acts on a set S, every element of S is fixed by the identity of G. O Every group of o...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Find the solution to the initial-boundary value problem: u = 3, 0 0, t > 0, (0, t) = " (1, t) = 0, ...

A:

Q: how is this problem solved?

A:

Q: Advanced Math Question

A: The given expression is: y+x÷2+x Evaluate the given expression for x=1 and y=1. BODMAS: BODMAS is a ...

Q: X: X(0) = -12 Draw the phase plane portrait, component graphs and state the equilibrium. Solve the s...

A: Given system is  X'=10-58-12X With initial condition X0=12 Let A=10-58-12 First, let us evaluate eig...

Q: 1. (Applies to Standards T1 and T2) Suppose p is in the domain of f: f has a local minimum at x = p ...

A: 1) From the hypothesis, f has a local maximum at x=p, if fp  is less than or equal to the values of...

Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line x - y = v2. %3D

A:

Q: question is in the image

A: Given concentration of pollution in water at time t is given by, Ct=8-800011000+2t      ......1 Wher...

Q: Question is in the image

A:

Q: Ray uses the following expression as a model for his business report: (r- 25) - - 9b If the expenses...

A:

Q: Prove: For all integers a and b, if a + b is odd then exactly one of the integers, a or b, is odd.

A: (1) We have to prove that a+b is odd then exactly one of the integer a or b is odd. Suppose that a i...

Q: 3. Consider a sequence co, C1, C2, .. . defined recursively Ck = 3 Ck-1 +1 for all k >1 and co = 2. ...

A: Given recurrence relation is ck=3ck-1+1 , k≥1             (i) Given initial condition is c0=2.  Putt...

Q: Gratfeul if you can help for question. Thanking in you in advance

A:

Q: 2 ----E--| [1 -31 u = |2 v = 3 (a) Do these vectors line in a plane ? Why? Why not? Find the coeffic...

A:

Q: this question from complex variables with applications by silverman

A:

Q: Josh bought 5 pairs of $20 jeans. He also bought two shirts that were $13 each minus a $3 clearance ...

A: Given Information -  Cost of a pair of jeans = $20 Cost of one shirt = $13 Clearence Discount in one...

Q: Simplify the given expression below by using the commutative and associative properties: (-21 - 9 b)...

A: using , commutative property for addition,      a+b=b+a associative property for addition,    (a+b)+...

Q: Click image

A:

Q: please help me fast

A: We use the principle of mathematical induction to prove the given statement.

Q: Show via proof that for two positive integers a, b where a 2 b, (use combinations e.g. n choose k) P...

A: We shall prove for the given statement. Though it has little ambiguities.

Q: Find the general solution by undetermiend coefficients.

A:

Q: Translate the following phrase below into an algebraic expression "The difference of a number and th...

A: We are given that there is a number which is 7 more than 36 other words the difference between the n...

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.