Basic Math question and answers for August 17, 2023
- Q Consider F and C below.F(x, y, z) = yz i + xz j + (xy + 14z) kC is the line segment from (3, 0, −3) to (5, 5, 1)(a)...
- Q 1.  Suppose c = 15 and A = 35 degrees.Find:a=b=B=2. Suppose a = 12 and b = 11.Find an exact value or give at least two decimal places:sin(A)=cos(A) =tan(A) =sec(A)=csc(A)=cot(A)=
- Q Given the two lines(x, y, z) = (4, -3, 5) + t(2, 0, -3)(x, y, z) = (4, -3, 5) + s(5, 1, -1)a) determine a vector equation for the...
- Q Find two solutions for the following equations:(i) 2x+3y=12(ii) 7x+9y=63
- Q Use Simpson's Rule with n = 10 to approximate the area of thesurface obtained by rotating the curve about the x-axis. Compareyour answer with the value of the integral produced...
- Q 1. Given the series:∞∑k=1 2/k(k+2)does this series converge or diverge?convergesdivergesIf the series converges, find the sum of the series:∞∑k=1 2/k(k+2)=2. Given the series:1+1/4+1/16+1/64+⋯does this series converge or diverge?divergesconvergesIf the series...
- Q Use spherical coordinates to find the volume of the solid E thatlies below the cone z = sqrt x^2 + y^2, and within the sphere x^2 +y^2 + z^2 =...
- Q f(x) = x4 − 128x2 + 7(a) Find the intervals on which f is increasing ordecreasing. (Enter your answers using interval notation.)increasing    decreasing    (b) Find the local maximum and minimum values of...
- Q don't do incomplete or wrong I am already stressed,explain the shifting of all types for fx graph I will not toleratewrong
- Q In the 3-month period November 1, 2014, through January 31,2015, Hess Corp. (HES) stock decreased from $80 to $64 per share,and Exxon Mobil (XOM) stock decreased from $96 to $80...
- Q QUESTION 1A. Gravel is being dumped from a conveyor belt at a rate of 10cubic feet per minute. It forms a pile in the shape of a rightcircular cone whose...
- Q What is the L.C.M and H.C.F of the fractions 6/5,3/5and15/11?
- Q a.find the open intervals on which the function is increasing anddecreasing.b. identify the functions local and absolute extreme values,if any, saying where they occur.g(x)=x^4-4x^3+4x^2
- Q You may have used shortcuts to see if a number is divisible byanother. example \"is a number is divisible by 4 if the last twodigits form a number divisible by...
- Q 1. Hallar dos vectores unitarios y ortogonales a 〈?, ?, ?〉 y〈−?, ?, ?〉.2. Hallar la ecuacioÌn vectorial y ecuaciones simeÌtricas de laliÌnea paralela a la liÌnea que pasa por...
- Q how do you know whether you can use a sum or difference identityto determine the exact value of a trigonometric ratio of a givenangle?What strategies do you have for remembering...
- Q If, f(x) = 7x+7–4x^2then find the derivative f'(1).
- Q Find the value of polynomial 5x–8x^2+3 at the points(i) x=–5(ii)x=0
- Q a)find all solutions to 5sin2x+4=8, 0<x<360b)find all solutions to 5cos^2theta-sin^2theta-cos theta=00<theta<2pie
- Q A triangle ABC has sides AB=50 and AC=10. D is mid-point of ABand E is mid-point of AC. Angle bisector AG from vertex A meetsside BC at G and divides...
- Q 1. A shipping company offers various sized shipping boxes to itscustomers. Some of these boxes are cube-shaped, with equal height,width, and depth. As part of an upcoming sales promotion, thecompany...
- Q a)Let  y′′+xy+y=0begiven.Why does the approachy(x):=e^(λx) does not work?b)Find the potential P(x, y) attached to the exact ODE2xsin(y) + x^2 cos(y) y′ = 0c)Is(x^2 +y)dx − xdy = 0exact?
- Q i'm doing this practice problem and i'm really struggling. ifyou be so kind to complete so it can help me comprehend. Please besure to include a visual of the coordinate...
- Q Find the limits, if they exist, or type DNE for anywhich do not exist.lim(x,y)→(0,0) (3x^2/(5x^2+4y^2))1) Along the xx-axis:2) Along the yy-axis:3) Along the line y=mxy=mx :4) The limit is:
- Q at time t= 0 , a particle is located at the point(4,8,7). it travels in a straight line to the point (7,1,6) hasspeed 7 at (4,8,7) and constant acceleration 3i-7j-k....
- Q Which of the following are subspaces of the vector space ofreal-valued functions of a real variables? (must select all of thesubspaces.)A. The set of even function (f(-x) = f(x) for...
- Q Let A∈Mn(R)\">A∈Mn(R)A∈Mn(R) such that I+A\">I+AI+A is invertible. Suppose thatB=(I−A)(I+A)−1\">B=(I−A)(I+A)−1B=(I−A)(I+A)−1(a) Show that B=(I+A)−1(I−A)\">B=(I+A)−1(I−A)B=(I+A)−1(I−A) (b) Show that I+B\">I+BI+B is invertible and express A\">AA in terms of B\">BB.
- Q Find a vector perpendicular to the line 2y=5-3x in thexy-plane.
- Q In general, can a polynomial function of degree 3 have anyabsolute extrema? Why?NOTE- In details with example
- Q Introduce variables to represent items of interest in theproblem. Forexample, (1) Let n be the number to be found, or (2) Let a beAlice’scurrent age, or (3) Let r be...
- Q 1) A force of 2 pounds is required to hold a spring stretched0.2 feet beyond its natural length. How much work (in foot-pounds)is done in stretching the spring from its...
- Q A patrol car is parked 50 feet from a long warehouse (seefigure). The revolving light on top of the car turns at a rate of32 revolutions per minute. How fast...
- Q Question: What exactly makes the FOIL method similar to usingthe Distributive Property? Try rewriting an example of binomialmultiplication as a combination of two applications of theDistributive Property.Hint: First, define the...
- Q A store has issued two different coupons for its customers touse. One coupon gives customers $25 off their purchase price, andthe other coupon gives customers 35% off of their purchase....
- Q Consider the functionf(x)=x3x2 − 1Express the domain of the function in interval notation:Find the y-intercept: y=  .Find all the x-intercepts (enter your answer as acomma-separated list): x=  .On which intervals is the...
- Q For the linear system x1+3x2=23x1+hx2=kFind values for h and k such that the system has:a) no solutionb) a unique solutionc) infinitely many solutions
- Q Use Cramer's Rule to find the solution of the system of linearequations, if a unique solution exists.–5x + 2y – 2z = 263x + 5y + z = –22–3x –...
- Q Solve the laplace transform to solve the initial valueproblem.y\"-6y'+9y=t. Y(0)=0, y'(0)=1
- Q Use Euler's Method with step size 0.11 to approximate y (0.55)for the solution of the initial value problem   y ′ = x − y, and y (0)= 1.2What is y (0.55)?...
- Q For an exposure of 43 R (Roentgen), calculate;a) The charge (in coulombs) liberated per kg of airb) The number of ion pairs liberated per kg of airc) The energy absorbed...
- Q How do you know what formula to use when solving angeometry angle question. For example: Jessica sits on top of a150ft tower. Suddenly she sees a boat from where she...
- Q Find both the maximum and minimum of the objective functiony − 8x given these constraints. (If an answerdoes not exist, enter DNE.)5x-2y≤13y≥-4y-7x≤312x+7y≤13
- Q 5. Consider the differential equationxy^5/2 +1+x^2y^3/2dy/dx =0(a) Show that this differential equation is not exact.(b) Find a value for the constant a such that, when you multiplythe d.e. through by...
- Q Suppose the population of fish in a lake in month t is given bythe equation F(t) = 800 − 500e-0.2t(a) Plot the equation for t in the interval [0,24].(b) Is...
- Q Find the work done by the vector vieldF(x, y)=3x+3x2y,3y2x+2x3on a particle moving first from(−3, 0),along the x-axis to (3, 0), and then returningalongy =9 −x2back to the starting point.
- Q A graphing calculator is recommended.For the limitlim x → 2 (x3 −3x + 8) = 10illustrate the definition by finding the largest possible valuesof δ that correspond to ε =...
- Q 1. For the following function ?(?) = (?^2−8?+16) / (?^2−4)a. Find the critical valuesb. Use the FIRST DERIVATIVE TEST to determine the intervalswhere the function is INCREASING and DECREASING.c. Find...
- Q 1)A cylindrical glass is to be made to hold 250 cm3 of water. If thecost of making the cylindrical surface of the glass is half thecost of making the bottom...
- Q Show that a dilation σ by a factor of r scales all distances bya factor of r. That is, for all points A and B, we have:|σ(A)σ(B)| = r|AB|
- Q Assume that at a price of $2.00 per pound, the annual supply ofcoffee beans in Country A is 8 million pounds, while the demand is10 million pounds. At a price...
- Q first and second derivative of f(x)= (1-x)arctan(2x)also find newtons method formula
- Q Josh believes theSpanish club students at his school have an unfair advantage inbeing assigned to the Spanish class they request. He asked 500students at his school the following questions: \"Are...
- Q Obtain the general solution to the following equation.(x2+25)dy/dx + xy = 2x y(0)=4
- Q fundamtal theorem of linear algebra for dimensions of thefundamental subspace of A
- Q The side of a rhombus forms two angles with its diagonals suchthat their difference is equal to 30 degrees. What are the anglesof the rhombus?
- Q For a rhombus with diagonals of length 6 cm and 8 cm. (a) Find the length of each side of the rhombus. (b) Find the area of the rhombus. (c) Explain why a...
- Q Prove that the quadrilateral enclosed by the perpendicularbisectors of the sides of a rhombus is a rhombus.
- Q The following conditional statement is true.All of the sides of a quadrilateral are congruent if it is arhombus.Which of the following statements must also be true?a) If not all of...
- Q 1. Find the equation of the tangent line to the graph of ?(?) =1 + ? + ???? at ? = 0. 4.2. Find the equation of the tangent line...
- Q Consider the spiral path x(t) = (cos^2t,sin^2t,t) for 0 ≤ t ≤π/2. Evaluate the integral x dx−y dy + z^2 dz
- Q P = 2xy + ? 2 + ??, ? = 2xy + ? 2 + ??, ? = ?? olacak şekildebir vektör alanı veriliyor. A (1,2,3) ve B (2,1,5) olmak...
- Q Find the cubic equation:f(x) = ax^3+bx^2+cx+dfor which f(-1)=3, f(1)=1, f(2)=6, and f(3)=7.Find the value of a, b, c, and d
- Q 1) A mixture of 5pounds of fertilizer A, 13 pounds of fertilizer B, and 4 pounds offertilizer C provides the optimal nutrients for a plant. Commercialbrand X contains equal parts...
- Q The temperature T in a metal ball is inverselyproportional to the distance from the center of the ball, which wetake to be the origin. The temperature at the point (1,...
- Q True and False (No need to solve).1. Every bounded continuous function isintegrable.2. f(x)=|x| is not integrable in [-1, 1] because the function fis not differentiable at x=0.3. You can always...
- Q For x ∈ [−2, 6],h(x) = 2x, j(x) = x2, and k(x) = 2x.1. Represent each function with a sample table2. Graph all three functions on the same coordinate system3....
- Q Exercise 4: Find all local extrema for f ? = sin^2 ? + cos ? onthe interval [− ?/ 2 , ?/ 2 ]. Verify your answer by graphing.
- Q I need a partial differential EQUATION to govern the pressurechange for a steady state fluid inside a horizontal pipe.please, make some clarafication if possible.thanks.
- Q Write z = -6 + 6i in polar form.Write z = 9 - 3sqrt3i in polar form.Write z = 2 (cos 5pi/6 + i sin 5pi/6) in rectangular form.
- Q Convert (6, 5pi/6) to exact rectangularcoordinates.Then give another ordered pair with a negative r andnegative theta for the point (6, 5pi/6)
- Q Use reference angles and symmetry on the unit circle to find theexact value of each expression. Do not use calculator.(a) sin(135 degrees)(b) cos(11pi/6)(c) tan(-5pi/3)(d) sec(-120 degrees)(e) cot(5pi/2)
- Q find the average rate of change of the function over the giveninterval. answer must be in radian ... pls explain the steps tyh(t)= cot ta) [5pi/4, 7pi/4]b) [5pi/6, 3pi/2]
- Q Solve using variation of parameters.y′′ + y = sec2(x)
- Q Consider F and C below.F(x, y, z) =2xz + y2i + 2xy j +x2 + 6z2kC: x = t2,    y = t +2,    z = 3t − 1,    0 ≤ t≤ 1(a) Find...
- Q How to convert 0.987121212 (repeating) into a fraction ?
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