find and sketch the level curves ƒ(x, y) = c onthe same set of coordinate axes for the given values of c. We refer tothese level curves as a contour map. ƒ(x, y) = √(25 - x2 - y2), c = 0, 1, 2, 3, 4

Q: Complete the blank Let o1,31:[0,5]→R be a unit step function Take ɛ=0.5 then the value of 8=

A: Consider the given:  Let ϕ1,3:0,5→R be a unit step function.Take ε=0.5,​find δ.From above:ϕ1,3n=1   ...

Q: Find T(t) and then find a set of parametric equations for the tangent line to the helix given by    ...

A: Consider the equation of helix given by r(t). Find the value for t , derivative at t and modulus of ...

Q: | (t+8)(t+3)dt.

A:

Q: Right, or wrong? Say which for each formula and give a briefreason for each answer. ∫3(2x + 1)2 dx =...

A: It is given that, ∫3(2x + 1)2 dx = (2x + 1)3 + C We have to verify that weather it is Right, or wron...

Q: Q27

A: a) Given data: The total height of the conical tank is H=12 m. The given surface diameter of the tan...

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of...

A:

Q: 8. Determine whether the lines L,and L2 are parallel, skew or intersecting. If they intersect find t...

A: Given data: The expression for the first line is L1: x=3+2t, y=4-t, z=1+3t. The expression for the s...

Q: Solve the initial value problem

A:

Q: Solve the second order non-homogeneous diffrental equation (D - 2D +4)y=10¢"

A: Consider the given differential equation, D2-2D+4y=10e3x the general solution of the differential eq...

Q: For what values of m do the line y=mx and the curve y =x/(x2+1)enclose a region? Find the area of th...

A: The given  line is y=mx    ...1. The given  line is y=xx2+1    ...2.

Q: find the sum of vector AB and CD where A (1,-1) B (2,0) C(-,3) D(-2,2)

A: Let A (1,-1) B (2,0) C(-1,3) D(-2,2) be the given vector. Of course here in the problem   "-1"is mis...

Q: Factor completely, or state that the polynomial is prime. y5 - 81y

A: The given polynomial is y5-81y. To factor the given polynomial. The polynomial is y5-81y factor by t...

Q: ip .(using implicit diflterentiation) dz For the function tan y 7a +83, find

A: To find: derivative using implicit differentiation.

Q: Eliminate the parameter and obtain the standard form of the rectangular equation.          Line thro...

A: We have to eliminate the parameter and obtain the standard form of the rectangular equation.    Line...

Q: Rationalize the denominator : 14 / (√7 - √5)

A: Solution:-  Rationalize the denominator  A=147-5  

Q: A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100% pe...

A: A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100% pe...

Q: 9-16 · Exponential Form Express the equation in exponential form. • 9. (a) log; 81 = 4 (b) log; 1 = ...

A: Answer 9(a): The given logarithmic equation is: log381=4 To write the given equation into exponentia...

Q: Find a third-degree polynomial function f(x) with real coefficients that has -3 and i as zeros and s...

A: Polynomial: The polynomial which has real co-efficient and of third degree. f(x) has three zeros  fr...

Q: For the function tan y = 9x + 62, find dy (using implicit differentiation) dx

A: tany = 9x +12 Differentiate w.r.to x, we have  d(tany)dx=d(9x+12)dx  

Q: Verify Mean value theorem for the function f(x) = 4x° over the interval [0, 2].

A: Question - a Given function, fx=4x3 Interval : [0, 2] Conditions of Mean value theorem: 1. f(x) is c...

Q: Q26

A: (a) Given information: fx=x3-6x2+9x-3

Q: If You are asked to prove the Lagrane form of the remainder? How would you do that?

A: I assumed that,you are asking  lagrange's form of remainder.instead of Lagrane. So, we have to prove...

Q: . Profit A small-appliance manufacturer finds that the profit P (in dollars) generated by producing ...

A: Given Profit function is P=110x300-x where, x is the number of ovens produce per week  0≤x≤200

Q: Explain Directional Derivative?

A: Our Aim is to explain Directional Derivatives.

Q: Evaluate the integrals ∫sin7 y dy

A: ∫sin7y dy On simplification, we get ∫sin7y dy=∫sin6y·siny dy=∫sin2y3·siny dy=∫1-cos2y3·siny dy      ...

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.