t4 – 3t3 - What types of discontinuities does the function h(t) have? 3t – 1 -

Q: Q5|| Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x2 + 2xy

A: Ans;  given function               fx,y =x2+2xy

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: I) Consider the function: y = + C,e2x + C,e-5x + Czxe-5x

A:

Q: Find the absolute maximum and minimum values of the function g(t) = 5 + 54t−2t3 on the closed…

A: Its application of derivative. So we have to find the its first and second derivative.

Q: Does the function y = e-3t satisfy the following differe y" + y' + 12y = 0

A:

Q: Q3/ Optimize the function Z = x + xị ? Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange…

A:

Q: Q4) f(x, y) = x"/s –x/ay² Does the function is harmonic ?

A: If a function satisfied Laplace equation then the function is called harmonic function

Q: A molecule is moving along the x-axis such that at any timet 2 0 (in seconds), its position from the…

A: Find your answer below

Q: -3r 10 f(x) : r2--20 C, r= 5 What value of C would make f(x) continuous at r 5?

A:

Q: Determine an approximate solution of the equation z3 + 3xyz? – 5x²y²z+ 14 = 0 for z near 2, as a…

A: To determine : an approximate solution of the equation               z3+3xyz2-5x2y2z+14=0 for z near…

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

A:

Q: Plot the function f(1) for -10 <xs 10. %3D 1+e5.5 – 1.5x 20

A: Graph of any function can be plotted by joining the points from which the function passes. So to…

Q: Y -5 Lastly find the maximum of the following function, and the (x, y) point at which it is located…

A:

Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

A:

Q: Find Fxxygy for the function Fory)-J*J€nx-x]

A: We havr to find the derivative.

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: x+3 10. At which points do the functions y = fail to be continuous? If any, are x2-3x-10 the…

A:

Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y3 – 3 x? + 6xy

A:

Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y - 3 x + 6xy

A: We use second order partial derivative to find maximum, minimum and saddle points

Q: -16t +30t + 4 models the height of a ball t seconds of change of the function over the interval 0,2…

A:

Q: 02.Find all the maxima value of f(x, y) = 49 – x2 - y?, on the line x +3y = 10 %3D

A:

Q: Q3/ Optimize the function Z = x + x ? Subject to: x1 + x2 4 x1, x2, 2 0 Using Lagrange multipliers.

A:

Q: Use the EVT to find the maximum and minimum values of the function f(x, y) = e4a-5 yʻ on the disc x²…

A:

Q: Q5 A) find dr for the function y x'+ Inx

A:

Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where the marginal return starts to diminish. Point of…

Q: V4 – x2 – y? In(y – x) - Find and sketch the domain of f(x, y) -

A: Given,fx,y=4-x2-y2lny-xRoots are:y=-4-x2y=4-x2Domain is: (x,y)∈R2:log(y-x) ≠0 and x&lt;y and x2+y2≤4

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: 13. For the function f(x) = (x – 2)² + 4 where is the function: a. increasing? b. decreasing? c.…

A:

Q: The main part of a trumpet has a shape given by rotating the function f(x)=1+x3/1000 about the…

A: The main part of a trumpet has a shape given by rotating the function f(x)=1+x31000 about the x-axis…

Q: Q2: Find all the local maxima, tocal minima, and saddle points of the function f(x, y) = 12xy – 4x*…

A: using derivative

Q: Antonio has $5.00 to spend on a lunch consisting of hamburgers($1.50 each) and french fries ($1.00…

A: Antonio has $5.00 to spend on a lunch consisting of hamburgers ($1.50 each) and french fries ($1.00…

Q: df-1| For the function y = f(x) = x + 3x + 1, > 1.5, find dy (f-)'(3) = %3D

A:

Q: d²y 2. Determine of the function y = dx2 x²cos (x)

A:

Q: Q5 A) find dr for the function y = x' + Inx

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

Q: The function f(x, y) : 1+2? +y? is 1-x2 -y? discontinuous at the points {(x, y)\æ² + y² # 1}. True…

A: The given function is f(x,y)=1+x2+y21-x2-y2

Q: The quadratic function y = ax? + bx + c pass through (2, 1) and tangent to the line y = 2x + 4 at…

A:

Q: ах-b 15. [T3] Write the equation for a function in the form of f (x) that satisfies the criteria:…

A: The given equation is of the form: f(x)=ax-bcx-d...(1)

Q: Consider the function f(x)=xe^-7x, 0≤x≤2. Find The absoulute mininum and maximum.

A: Given data: The given function is f(x)=xe-7x. The given limits of x are [a, b]=[0, 2]. The first…

Q: Find the critical point of the function f(x, y) —7- 5х — бх?+ 5у — 4у? This critical point is a:…

A:

Q: x+1 At what points is the function y = continuous? x2 - 6x + 5

A: To solve this problem we will use the concept of continuity of rational function.

Q: a. by using the appropriate Chain Rule and b. by converting w to a function of t before…

A:

Q: Q2) find the absolut maximum values and minimum value of the function f(x, y) = x² - 2xy + 4y on the…

A:

Q: 02. What is the axis of symmetry for the function y = 2/3 13x + 9| – 2? A. x = -3 B. x = 3 C. x = -2…

A:

Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 4x? + 2y? = 24 Maximum…

A:

Q: X + 1 At what points is the function y = continuous? x2 - 10x + 9

A:

Q: Q1. Determine whether this is a quadratic spline function T € (-00, 1] f(x) = {-(2 – x)² + T € [1,2]…

A:

Q: The function y = x³ + ax? + bx + c has a stationary point at (-3,12) and it passes through the point…

A: Since, the function y=x3+ax2+bx+c passes through the point (0,2)⇒2=0+0+0+c⇒c=2-(i)Also, we have been…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: