Re-arrange the equation as a function of c only.

Q: Find the point of inflection of the curve y = x^3 - 6x^2 - x + 12. (-2,6) (2,-6) (-2,-6) (2,6)

A: We have to find point of inflection of given function.

Q: \text { 28. } f(x)=\left\{\begin{array}{ll}x^{2}+2, & x \leq 1 \\2 x^{2}+2, &…

A: Given piecewise function is fx=  x2+2   ; x≤12x2+2  ; x>1

Q: Give a vector valued function whose graph is same as y=ln (x)

A: We know that a function with the representation r→t=ft i∧+gt j∧ is called a vector valued function…

Q: The question says: "Differentiate."    I posted what I have so far, but I'm not sure where in the…

A:

Q: Distances and Velocities of Galaxies Galaxy Virgo Ursa Minor Corona Borealis Bootes Distance 15 200…

A: The table lists the distances (in megaparsecs; 1 megaparsec = 3.085 × 1024cm, and 1 megaparsec =…

Q: Find the derivative of: h(w) = 3w + w^4/(2w^2 + 1)   [4w^5 + 4w^3 - 6w^2 + 3]/(2w^2+1)^2 [4w^5 -…

A:

Q: To determine the weather, a meteorologist uses the function T = x^2y^3z, where T represents the…

A: Given the function T = x2y3z. Find the rate of change of temperature in the direction (-2,-1,2) and…

Q: A) 2xe-x(x + 2) 30) u(1) = 2, u '(1) = -7, v(1) = 7, v '(1) = -3. d at x = 1 dx u B) 2xe-X(2-x)…

A:

Q: Gilbert Strang video 'Min, Max and Second Derivative,

A: The objective of the question is to understand the concepts of minimum, maximum and second…

Q: An ant is standing at the point (1,1,3) on the surface of a bowl with equationz=x^2+…

A:

Q: Optimize the function f(x,y) = x^2+y^2 given the condition of x=y^2-5.

A: Answers are following in explanation step.Explanation:

Q: 7. y = y5 +6y* +35x³ –5x² –100 8) y= /2x

A: We have to find the 3rd derivative of given functions.

Q: (2x^2)– (y^2)-2xC+1=0  Find the orthogonal orbital family of the function

A: We have to find the orthogonal trajectory of the function given below: 2x2-y2-2Cx+1=0. Orthogonal…

Q: 1. Find the derivative of the expanded function  a. a^2x^2+2abx+b^2 b.…

A: 1. a) Given, a2x2+2abx+b2 Consider,  y=a2x2+2abx+b2 Differentiate with respect to x,…

Q: the directional d + 3y2 + 5z² at pa

A:

Q: find the orthogonal trajectory of у^2-Сх^3-2

A:

Q: Find a linear model, g(t)=mx+b, and an exponential model, g(t)=ab^t, if g(0)=5 and g(-2)=10. (Round…

A: Here the exponential model is given. So from that, we will find the value of a and b. then solving…

Q: v1 = (- 3.7) and v2 = (5.5) vectors Does it form a base for R^2? Why is that?

A: Given V1=(-3,7) and V2=(5,5) To check V1 and V2 are basis for R2.

Q: Show that the functions y1= e^t,  y2 = e^-t, and te^-t are linearly independent.

A:

Q: maximize revenue

A: Revenue is the total income earned through the sale of goods and services through the company. Q10:-…

Q: 6. a) What does it mean if the derivative of a function is always positive? b) Write an equation of…

A:

Q: find |A^T| |A^2| |AA^T| |2A| |A^-1| A= [ 5. -10] [4, 6]

A: As we know that the properties of determinant: 1 A=AT2 A2=A23 AB=AB4 KA=KnA where n is the order of…

Q: The point (m,n) and (p,q) are on gra y=a^x. In term of n and q, determine coordinate of point…

A:

Q: 8 + A) Differentiate y = 4vx + + 10 8 6 B) Find the second derivative of y = 4Vx + + 10

A: To find the derivative of function

Q: 3) A researcher has collected population data along with time. Afler comparing the populations from…

A: Solution is given below

Q: Evaluate the value of ‘a’ if the first derivative of m(x,y,z)=4-ax^2-2y^2, with respect to the…

A: Consider: mx,y,z=4-ax2-2y2 and mx1,2,3=-2. Solve for a. Calculate mxx,y,z by applying…

Q: Explain how to find a first partial derivative of a function oftwo variables.

A: To get the first partial derivative of a function z = f(x, y) with respect to x we have to…

Q: Which set of functions which is not linearly independent is  A-X^2,4x^3 B-2x,6x+3,3x+2 C-e^x,e^2x…

A: A set of functions will be linearly independent if there Wronskian is not equal to zero. Wronskian…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: