Basic Math question and answers for August 18, 2023
- Q find the point lying on the intersection of the plane, x +(1/4)y + (1/3)z = 0 and the sphere x 2 + y 2 + z 2 = 25 with...
- Q how can u=you tell if a serie converge or diverge ?
- Q Æ’(x,y)= x3 + 3xy2 - 15x + y3 -15yFor this question i need to calculate the critical points andall local minima, local maxima and saddle points. How should thisbe done?
- Q 1) Let f(x) be a continuous, everywhere differentiable functionand g(x) be its derivative. If f(c) = n and g(c) = d, write theequation of the tangent line at x =...
- Q (1 point) Suppose that f(x)=(12−2x)e^x.(A) List all the critical values of f(x). Note: If there are nocritical values, enter 'NONE'.(B) Use interval notation to indicate where f(x) is increasing.Note: Use...
- Q A spherical ball was completely immersed into an inverted rightcircular cone full of water. After the ball was removed it wasfound out that the water surface had dropped 6 cm....
- Q Consider the matrix A given by [ 2 0 0 ] [ 0 2 3 ] [ 0 3 10 ](20) Find all its eigenvalues and corresponding eigenvectors. Showyour work....
- Q Taylor Polynomial HW1) Evaluate cos ( 2 π / 3 ) on your calculator and using thefirst 4 terms of the TP for cos x.2) Integrate cos ( x^3 ),...
- Q Find the flux of the vector fieldV(x, y, z) = 7xy2i + 2x2yj +z3kout of the unit sphere.
- Q 3. Determine whether the following properties can be satisfiedby a function that is continuous on the interval (−∞, ∞). If such afunction is possible provide an example or a sketch...
- Q Letf(x)=(x^2)/(x-2) Find the followinga) Intervals of increase/decrease (approximate the criticalnumbers to the nearest thousandths be sure to show the valuestested)b) Local maxima and local minimac) Intervals of concavity and points...
- Q identify the types of symmetry present in the polarfunctions.r = 2 + 3 sin (theta)r = 5 cos 2 (theta)r^2 = 9 sin 2 (theta)
- Q Consider the function f(x)f(x) whose second derivative isf''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 andf'(0)=4f′(0)=4, what is f(5)f(5)?. show work
- Q Use the techniques of Chapter 4 to sketch the graph of y=x^4/4+x^3/3-x^2.  a) domain,b) y-intercept,c) asymptote(s),d) intervals of increase and/or decrease,e) local maximum(s) and/or local minimum(s),f) intervals of concavity,g) points of...
- Q Find the equation (in terms of x and y) of the tangent line tothe curve r=5sin5θ at θ=π/3.
- Q Given the function f(?) = ?3 − 9?2 + 24? −2a) Find the critical numbers and make a sign diagram for thefirst derivative.b) Find the possible inflection points and make...
- Q Find y as a function of x ify′′′+25y′=0y(0)=2,  y′(0)=20,  y′′(0)=−100y(x)=
- Q Given the line integral ∫c F(r) · dr whereF(x, y, z) = [mxy − z3 ,(m − 2)x2 ,(1 −m)xz2 ](a) Find m such that the line integral is path...
- Q Show all work for credit. Be sure to label work and usesentences as appropriate to explain what steps you are taking. Besure to clearly label any steps, results, or conclusions....
- Q Describe the differences, benefits and weaknesses of manual AISsystems, legacy AIS systems and modern, integrated AIS Systems.
- Q 5. Solve the nonlinear inequality. Express the solution usinginterval notation.x + 3 > −2x−5
- Q 1) Sketch the graph of the function â„Ž(?) = ?^5â„3 − 5?^2â„3 ,showing all work for domain, intercepts, asymptotes,increase/decrease, relative extrema, and concavity.2) For the function ?(?) = 2?^2−6/(?−1)^2 ,...
- Q 1) Draw the curve and indicate with an arrow the direction inwhich it goes when t increases. Delete the parameter to find theCartesian equation. x = 3t-1, y = 2t...
- Q Given two lines, state and prove the precise conditions underwhich reflecting a point about the two lines is commutative.I have seen this proved on here more than once, but I...
- Q 1. Use the function to find the following values (or state thatthey do not exist): f(x) = 2 (x + 1)2 (x + 1)(x − 1)(x + 2)(a) State the...
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