Basic Math question and answers for July 06, 2023
- Q A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How...
- Q Solve the problem.A company wishes to manufacture a box with a volume of 48cubic feet that is open on top and is twice as long as it is wide.Find the...
- Q How are the column space and the row space of a matrix Arelatedto the column space and row space of its reduced row echelonform?How does this prove the column rank...
- Q Years since 198513689Books sold (thousands)4.36.110.712.113.5I need to know the inflection and to be able to explain how Igot the answer please
- Q If the instantaneous value of a voltage in an AC circuit of thecommunication system (at any time t seconds) is given by V=142sin(8?t-0.125?) volts, determine:1). Given that the voltage waveform...
- Q Let f(x) be differentiable on the interval [a,b]. Select all ofthe following statements which must be true.1. f(x) must attain its maximum value on the interval [a,b]2. There is some...
- Q A fisherman can row upstream at 4mph and downstream at6mph. He started rowing upstream until he got tired and then roweddownstream to his starting point. How far did the fisherman...
- Q Let f (x) = 12x^5 + 15x^4 ? 40x^3 + 1, defined on R.(a) Find the intervals where f is increasing, anddecreasing.(b) Find the intervals where f is concave up,...
- Q Find the slope of the normal line to the curve described by (x+ y) ^ (1/2) = xy ^ 2 + e ^ x at the point (0,1)
- Q 1.Determine the linearization off(x)= ?2.0?x^2.0?4.0?x - 4at x=2.2.Determine the linearization of f(x)= (?x^2)?4/x^3 at x=?1.
- Q 1. Vector u =< 0,?1,3 > is given. Find a non zero vector vwhich is perpendicular to u. Then ?nd a vector w which isperpendicular to both u and v....
- Q A14-foot ladder is perched on a vertical pole. The ladder is slidingso that the base of the ladder is moving away from the pole at arate of 2 ft /...
- Q Joan wants to buy a rug for a room that is 13 feet by 16 feet.She wants to leave a uniform strip of floor around the rug. She canafford 130...
- Q Use the Laplace transform to solve the following initial valueproblem,y?? ? y? ? 30y ?=? ?(t ? 7),y(0) ?=? 0, ?y?(0) ?=? 0.The solution is of the form ?[g(t)]?h(t).(a) Enter...
- Q integrate from infinity to 1: (1+(sin^2(x))/sqrt (x)) dx
- Q Find the particular solution of the first-order lineardifferential equation forx > 0that satisfies the initial condition. (Remember to useabsolute values where appropriate.)Differential Equation Initial Conditionx dy = (x + y...
- Q Consider the set of numbers {1...200}Denote by A the set of multiples of 2 in this set.Denote by B the set of multiples of 5 in this set.Denote by C...
- Q 2. For the function : f(x) = x2 ? 30x ? 2a) State where f is increasing and where f isdecreasingb) Identify any local maximum or local minimum values.c) Describe...
- Q Provide a detailed explanation of empirical research oncorporate in relation to disclosure on environmental and/or climatechange information.
- Q a) Find the intervals over which f is increasing ordecreasing.b) Find the local maximum and minimum values ??of f.c) Find the concavity intervals and the inflection points.a. ?(?) = 2x...
- Q Solve the following problem using algebraic techniques. Amanufacturer produces 40-inch, 46-inch and 52-inch television setsthat require assembly, testing and packing. Each 40-inch setrequires 45 minutes to assemble, 30 minutes to...
- Q Solve y'''-4y'=32xe2x-24x2 , y(0)=0y'(0)=0 y''(0)=-1
- Q Determine the centroid, C(x?, y?, z?), of the solid formed inthe first octant bounded by z + y ? 16 = 0 and 2x2 ? 32+ 2y = 0.
- Q (1) z=ln(x^2+y^2), y=e^x. find ?z/?x and dz/dx.(2) f(x1, x2, x3) = x1^2*x2+3sqrt(x3), x1 = sqrt(x3), x2 = lnx3.find ?f/?x3, and df/dx3.
- Q An equation of an ellipse is given. 2x^2 + 64y^2 = 128 (a) Findthe vertices, foci, and eccentricity of the ellipse. vertex(x, y)=(smaller x-value) vertex(x, y)= (larger x-value) focus(x, y)=(smaller...
- Q Consider a car traveling on a highway. If the car travels 100miles in 2 hours, which theorem guarantees thatthe car must have been traveling at 50 mph at some point...
- Q Determine the volume of the solid of revolution generated byrotating around the axis; x=9 the region bounded by the curves:y^2=9-x; y=3-x
- Q 1. "Give an example of a function that is defined on the set ofintegers that is not a one-to-one function."Keep in mind that the above domain must be the set...
- Q The displacement (in centimeters) of a particle moving back andforth along a straight line is given by the equation of motions = 3 sin(?t) + 4cos(?t), where t is measured...
- Q Find all horizontal and vertical asymptotes (if any). (If ananswer does not exist, enter DNE. Enter your answers as acomma-separated list of equations.)r(x) =2x ? 3x2 ? 4
- Q (6) A diagonal of a rectangle in neutral geometry divides therectangle into triangle I and triangle II. Can the angle-sum oftriangle I be less than 180°? Why or why not?
- Q A parallelogram has consecutive sides with lengths 9 and 7 anddiagonals of integral length How long are these diagonals?
- Q With the area between the graphs:x+y=14x+6=y^2Find the area two different waysFirst way:[a,b]integral(f(x))dx + [b,c]integral(g(x))dx =whats is a,b,c, f(x), and g(x):Second way:[a, b]integral(h(y))dywhat is a, b, and h(y)
- Q A plane delivers two types of cargo between two destinations.Each crate of cargo I is 7 cubic feet in volume and 131 pounds inweight, and earns $20 in revenue. Each...
- Q find the radius of convergence and interval of convergence ofthe series ? n=1 ~ ? (3^n)((x+4)^n) / ?nPlease solve this problem with detailed process of solving.I can't understand why the...
- Q A shop sells two competing brands of socks, Levis and Gap. Eachpair of socks is obtained at a cost of 33 dollars per pair. Themanager estimates that if he sells...
- Q When Ashley was asked to round 345 to the nearest 100, sherounded 345 to 350 and then rounded 350 to 400. Billie claimed theanswer was 300. How would you respond...
- Q Use spherical coordinates to find the volume of solid within thesphere x^2 + y^2 + z^2 = 16 and above the cone 3z^2 = x^2 + y^2 andlying in the...
- Q y=x^5 - 5xUse the "Guidelines for sketching a curve A-H"A.) DomainB.) InterceptsC.) SymmetryD.) AsymptotesE.) Intervals of increase or decreaseF.) Local Maximum and Minimum ValuesG.) Concavity and Points of InflectionH.) Sketch...
- Q Using limit to find the equation of the tangent line to thecurve y = f(t)=2t^3+3t at the point Q(1,5)
- Q A company manufactures x units of Product Aand y units of Product B, on two machines, I andII. It has been determined that the company will realize a profitof $2/unit...
- Q C. Clearly indicate the plate number and indexingmovements to be made to divide the periphery of a work piece into29 divisions using compound Indexing? The following indexing platesare available. Plate...
- Q Prove the following using the method suggested:(a) Prove the following either by direct proof or bycontraposition:Let a ? Z, if a ? 3 (mod 5) and b ? 2 (mod...
- Q 3. Jose deposits $150 at the end of eachmonth into an account that pays 6%interest compounded monthly . After 8years of deposits, what is the accountbalance?
- Q 1. Find the local maximum and minimum values and saddle point(s)of the function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant...
- Q Differentiate each. give reasonably simplified answers. BoxANSERS.(a)=ln[(x^9*(5x+1)^4*(11x+2))/((8x+9)(3x^5-2x+1))](b) y=log[((8x+3)^2 * (x^3+5x^2-9x+1))/(7x+3)^5](c) Given f(x)=(4x)^10x^3, find f'(x)(d) Differentiate f(x)=4x^10x^3, find f'(x)
- Q Evaluate the integral by making an appropriate change ofvariables.3 cos5y ?xy +xdARwhere R is the trapezoidal region with vertices (6, 0),(10, 0), (0, 10), and (0, 6)
- Q Solve the differential equation dy/dx = 15x + 5y/ 5x + 15y.Write your solution without logarithms, and use a single,consolidated c as a constant
- Q please graph the function f(x)=(x-2)/(x-1) byfindingthe domainthe x and y interceptsthe vertical asymptotesthe horizontal asymptotesthe intervals of increase and decreasethe local mins/maxthe intervals of concavitythe inflection point(s) as an ordered...
- Q p(x)=x^4-2x^3+x^2+2x-2 zero: 1-iuse the given zero to find all the zeros of the polynomialfunction
- Q Suppose that a large mixing tank initially holds 500 gallons ofwater in which 50 pounds of salt have been dissolved. Another brinesolution is pumped into the tank at a rate...
- Q 1. Find an equation for the line in the xy?plane that is tangentto the curve at the point corresponding to the given value of t.Also, find the value of d^2y/dx^2...
- Q If a circle C with radius 1 rolls along the outside ofthe circle x2 +y2 = 36, a fixed point P onC traces out a curve called an epicycloid, withparametric...
- Q Find the volume for the solid, whose base is between the curvesy=2x and y=x^2 over [0,2] and whose cross sectional slices aresquares perpendicular to the x-axis and perpendicular to the...
- Q 1. Assume ? is opposite side a, ? is opposite sideb, and ? is opposite side c. Solve the triangle,if possible. Round your answers to the nearest tenth. (If notpossible,...
- Q solve the given boundary value problem.y"+6y=24x, y(0)=0, y(1)+y'(1)=0
- Q Solve the given initial-value problem.y'' + y = 0, y(?/3) =0, y'(?/3) = 4
- Q What is the value of Expression below(i^14 + i^15 + i^16 + i^17)÷(i^20 + i^21 + i^22 + i^23)
- Q Problem 13.2: Where on the parametrized surface ~r(u; v) = [1+u3,v2,uv]T is the temperature T(x,y, z) = 2 + x + 12y - 12z minimal?To nd the minimum, look where...
- Q Find the volume of the solid by subtracting two volumes, thesolid enclosed by the parabolic cylindersy = 1 ? x2, y = x2 ? 1 and the planes x +y...
- Q Consider the function f(x)=arctan [(x+6)/(x+5)] Express thedomain of the function in interval notation: Find the y-intercept:y= . Find all the x-intercepts (enter your answer as acomma-separated list): x= . Does...
- Q Find the derivative of the function.A) f(x)=(2+x^3)^2/3B) h(t)= (t^4-1)^9(t^3+1)^8C) y = e4xsin(x)D) y= (x^2+2/x^2-2)^3
- Q Write the following quadratic function in standard form and thensketch its graph. Clearly mark on the graph the vertex and allintercepts.f(x)=-2x^2+6x+15Note: if you could include step by step explanations so...
- Q Translating and Solving Word Equations:Translate then solve the algebraic equation for the followingproblems:Fourteen less than 5 times a number is 1. Identify theinteger.When the sum of a number and 3...
- Q Find the value of m for which 9^m * 9 ^5 = 9^7.
- Q Find an equation of the plane that passes through the point (1,7, 3) and cuts off the smallest volume in the first octant.
- Q Determine the radius of convergence and the interval ofconvergence of the following power series.? ? n=1(2^(1+2n))/ (((?3)^(1+2n)) n^2) (4x+2)^n .
- Q Find the absolute maximum and? minimum, if either? exists, forthe function on the indicated interval. f(x)=x^4+4x^3-7 (A) [-2,2](B) [-4,0] (C) [-2,1]
- Q A rancher has 600 feet of fencing to enclose two adjacentrectangular corrals (see figure).(a) Write the area A of the corrals as a function ofx.A(x) =(b) Construct a table showing...
- Q Given f''(x)= 4x-6and f'(-2)=5 and f(-2)=1FIND: Find f'(x)=and find f(2)=
- Q If u(t) = < sin(8t), cos(4t), t > and v(t) = < t,cos(4t), sin(8t) >, use the formula below to find the givenderivative.d/(dt)[u(t)* v(t)] =u'(t)* v(t) +u(t)* v'(t)d/(dt)[u(t) x v(t)] =<.______...
- Q A bulldozer’s velocity (in m/s) at a time t is given byv(t)=t^2-t+3.(a)Estimate the displacement of the bulldozer on the timeinterval using 0?t?5 Midpoint Riemann Sum with 10 subintervals.Specify the value...
- Q a)Let y be the solution of the equationy ? = sqrt(1 ? y^2) satisfying the condition y ( 0 )= 0.Find the value of the function f ( x ) = sqrt(2)*y...
- Q Use Laplace transform to solve the initial value problem y''+y'=? with y(0) = ?, y'(0) = 0.
- Q Not all operators are commutative, namely, a*b = b*a.Consider functions under the operators addition, subtraction,multiplication, division, and composition.Pick two of the functions and use a grapher (like Desmos) tograph the...
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