Basic Math question and answers for July 07, 2023
- Q Water is leaking out of an inverted conical tank at a rate of11000 cubic centimeters per min at the same time that water isbeing pumped into the tank at a...
- Q So we have a paraboloid x^2 + y^2 - 2 = z and the plane x + y +z= 1 how do we find the center of mass? For some...
- Q Determine over which intervals the following functions areincreasing, decreasing, concave up, and concave downy = x + sin(?x)
- Q .Suppose I am in a boat and I travel at the bearing N70E at 30knots for 4 hours. Then, I turn 90 degrees clockwise and travel for5 hours at the...
- Q SOLVE the IVP: (D^2+1)y = e^t, y(0) = -1 and y'(0) = 1. Thankyou.
- Q Let V be the vector space of 2 × 2 real matrices and let P2 bethe vector space of polynomials of degree less than or equal to 2.Write down a...
- Q Suppose that we have five websites: A, B, C, D, and E. Let'salso suppose that the links between the sites are depicted in thegraph below:Here, the arrow pointing from C...
- Q Two questions:2) Use the limit definition of the derivative to find thederivative of f(x)= x^3 - 9x3) Using limits, find an equation of the line tangent to thefunction of g(x)=...
- Q 1 point) A company has found that the relationship between theprice p and the demand x for a particular product is givenapproximately by p=1281?0.17x2. The company also knows that thecost...
- Q An investment firm recommends that a client invest in bondsrated? AAA, A, and B. The average yield on AAA bonds is 4?%, on Abonds 5?%, and on B bonds 8?%....
- Q Find the local maximum and minimum values and saddle point(s) ofthe function. If you have three-dimensional graphing software,graph the function with a domain and viewpoint that reveal all theimportant aspects...
- Q 1. Solve linear system using Gaussian eliminationa)x1 + 2x2 +x3 = 2-x1 ? 3x2 +2x3 = -3 x1 ? 6x2 +3x3 = -6b)-2b + 2c = 103a + 12b -3c =...
- Q A system of differential equations solved by the Laplacetransform has led to the following system:(s-3) X(s) +6Y(s) = 3/sX(s) + (s-8)Y(s) = 0Obtain the subsidiary equations and then apply the...
- Q A retailer has been selling 1200 tablet computers a week at $350each. The marketing department estimates that an additional 80tablets will sell each week for every $10 that the price...
- Q For the following find: (Show detailed working)1) general solution of the associated homogns DE2) form of the particular solution associated withthe undetermined coefficients method. Do not evaluatecoefficientsa) (d2 y / dx2)...
- Q Consider the region illustrated below, bounded above by ? = ?(?)= 10 cos ( ?? 9 ) and below by ? = ?(?) = ? ??+3 . The curvesintersect at...
- Q 1). A group of students plans a tour. The charge per student is$66 if 25 students go on a trip. If more that 25 studentsparticipated, the charge per student is...
- Q At noon, ship A is 130 km west of ship B. Ship A is sailing eastat 30 km/h and ship B is sailing north at 15 km/h. How fast is...
- Q 1. Explain how the first derivative test of a function determines where the function is increasing and decreasing.2. Explain how to apply the second derivative test.3. What is an inflection...
- Q f(x) =2x^5-5x^4-10x^3+1 is defined as all real numbersa) find the intervals where F is increasing anddecreasingb) find the intervals where F is concave up and concavedownc) find the local maximum,...
- Q for u=<2,1,-3> and v=<1,0,2>,a) find the angle between u and vb) use the formula proj_a b=((a•b)/|b|^2)b to find vectorprojection of v onto uc) sketch vectors u, v, and the projection...
- Q Test, state and prove a theorem that defines a set of minimumcongruence criteria for each of the following quadrilaterals:parallelograms, rectangles, and rhombi.
- Q Show a composite shape that you could divide up multiple ways tofind its area. (illustrate at 3 different ways to divide it up andlabel dimensions of each division)
- Q The scores on a standardized test are normally distributed witha mean of 95 and standard deviation of 20. What test score is 0.5standard deviations above the mean?
- Q Can somebody explain to me Derivative of ParametricEquations? May I know its importance and applications in real life?i need it for my essay. Thank youPS. I can't find it on...
- Q The total weekly cost (in dollars) incurred by Lincoln Recordsin pressing x compact discs is given by the followingfunction.C(x) = 2000 + 2x ?0.0001x2 (0 ? x? 6000)a. What is the...
- Q Use Pascal’s triangle to find the possible value(s) of nn ifnC3=(n3)=20.
- Q Using the standard normal (z) distribution table, what is the areaunder the standard normal curve between 1.67 and 2.72?a. 0.0442b. 0.9525c. 0.2563d. 0.6140
- Q Find the exact location of all the relative and absolute extremaof the function. HINT [See Example 1.] (Order your answers fromsmallest to largest x.)g(x) = 2x3 ? 6x + 3...
- Q If f is a polynomial of degree 3 or more how would youuse real zeros of f to determine the open intervals overwhich f(x) > 0 or f(x) < 0....
- Q Find the horizontal and vertical tangents to the graph of thecardioid ? = 1 ? cos?, 0 ? ? ? 2?
- Q The temperature at time t hours isT(t) = ?0.6t2 + 2t + 70(for 0 ? t ? 12). Find the average temperature betweentime 0 and time 10.
- Q 15. State the period,amplitude, and midline of the followingfunctions.(a) y=3sin(2x)+5(b)5cos((pi/3)x)+2(c) 2y = cos(10t-60)+2
- Q Let D be the region bounded by the paraboloids z = 8 -x2 - y2 and z = x2 +y2. Write six different triple iterated integrals forthe volume of D....
- Q For the function g(x) = x^2-3 and the point P(2,1)Use either LIMIT definition of the derivative to find the slopeof the tangent line to the graph of g at P...
- Q Solve the follwing game theory matrix,Find the optimal strategies for both playersabcA-423B-104C2-1-3
- Q Age (yr)182838485868Median Income ($)17,48030,65037,44041,23037,57021,390Find an appropriate model for the data. Round values to thenearest hundredth.
- Q Find the volume of the solid obtained by rotating the regionbounded by x = 4- (y-1) ^ 2; x + y = 4 on the X axis, you mustgraph the...
- Q Consider the non-right triangle shown below that has sidelengths of 1.4, 1.829 and 2.6 cm and interior angle measures of0.74, ? , and ? rad. 0.74 rad??1.4 cm1.829 cm2.6 cm...
- Q This is an ODE related question,A 1500 L tank initally contains 600 L of water with 50 kg ofsalt in it. Water enters the tank at a rate of 9...
- Q Use the first derivative test to determine the location of eachlocal extremum and the value of the function at this extremum.f(x)=4xe-4x1. The function has a local maximum of __at x=___.
- Q Find a set of parametric equations for the tangent line to thecurve of intersection of the surfaces at the given point. (Enteryour answers as a comma-separated list of equations.)z =...
- Q There are 5 paltonic solids. Now the question is, what are theinscribed solids? What shape is contained within each platonicsolid with a vertex at the center of each side?1. Tetrahedron...
- Q 8. (Section 1.3 #10) Let p be an integer other than 0, ±1. Provep is prime if and only if for all a 2 Zeither (a, p) = 1 OR...
- Q Optimization problem for calculus 3.Possible use of Lagrange Multiple?Question: What are the largest and smallest outputs of thefunction x 2+2y2 on the ellipsex2+y2+xy=3
- Q 1. Discuss the difference in linear and non-linear data2. explain a quadratic function. Write the standard form of aquadratic function3. Explain and write the vertex formula for a quadraticfunction4. What...
- Q When using Gaussian elimination to solve a system of linearequations, how can you recognize that the system has nosolution?
- Q Find the work done by pumping out water from a tank of the shapeof (a) a sphere, (b) a circular conePlease give a detailed explanation of how you would set...
- Q The Richter Scale gives a mathematical model for the magnitudeof an earthquake in terms of the ratio of the amplitude of anearthquake wave (also known as the intensity of an...
- Q Taco Smell sells only tacos. They offer three types oftortillas, four types of meat, four types of cheese and seven typesof salsa. If you must choose exactly one of each...
- Q The population of the world doubled from 1950 to 1987. Using theexponential model,?=?0???,P=P0ekt,where?tis measured in years, find the annual growth rate?kfor that period.
- Q Reply to the following Discussion Question with a substantivepost - one that demonstrates that you understand the mathematicalconcepts and provides an explanation rather than just making asimple statement about the...
- Q For the ellipse 6? 2 + 4? 2 = 36, find the eccentricity andsketch the graph showing all main features including axisintercepts, foci and directrices.b) Using exclusively some part of...
- Q In this exercise, find the values of the unknown constants so that the indicated conditions are met for each function:(a) f(t) = At2 + B; given f(0) = 2 and...
- Q The quantity demanded x (in units of a hundred) of the Mikadominiature cameras/week is related to the unit price p (in dollars)by p = ?0.2x^2 + 220 and the quantity...
- Q A company produces and sells 3 types of organic fertilizer. Apound of Brand 1 earns a profit of $3 per pound. Brand II earns aprofit of $4 per pound, and...
- Q Arrange the following data into a frequencydistribution table and explain the solution step-by-step:41 60 72 72 65 64 48 9060 75 53 48 63 49 58 3939 75 55 62...
- Q Express your answer as an integer, or as a fraction inlowest terms if necessary.1. If g(x) = - 3 f(x), where f(6) = 10 and f'(6) = -4, find g'(6).2....
- Q -a) Find the equation of the line in its vector, parametric andsymmetrical shapes that passes through the point.P (5, -2, 4) and it's perpendicular to the plane 4x-3y+5z=0.b) Find the...
- Q Describe the difference between direct variation and jointvariation and please illustrate with examples
- Q solve for |2x-5|>4x-1
- Q a)let f(x)= x^3-9x verify that on [-3,3] meets the requirements ofrolle's therom, please show how, then all c's that rolle'sguarantees.b) find the linear approximation of f(x)=cos(x)g at x=pi/4then use it...
- Q f(x,y)=sin(2x)sin(y)intervals for x and y:-?/2 ? x ? ?/2 and -? ? y ? ?find extrema and saddle pointsIn the solution, I mainly interested how tofindcritical points in case of...
- Q Use power series to solve the initial value problemx^2y''+xy'+x^2y=0, y(0)=1, y'(0)=0
- Q The curve ?y = ?(25-x^2), ??2 ? x ? 3, ?isrotated about the x-axis. Find the area of the resultingsurface.
- Q Use elementary row or column operations to evaluate thefollowing determinant. You may use a calculator to do themultiplications. 1 -9 6 -9 -5 2 -17 6 -21 -11 2 -13...
- Q Multivariable calculusEvaluate: ? 3? 2 ?? + 2???? using two different methods. C isthe boundary of the graphs C y = x2 from (3, 9) to (0, 0) followedby the...
- Q h(y)= 9/y^2-9Algebraically determine where ? is increasing/decreasing andwhere ? is concave up/down, writing these in interval notation.Also, find all local extrema and inflection points of ?, writingthese as ordered pairs.increasing:...
- Q for each of the five functions f1-(x,1/y) ,f2-(0,y) ,f3 (x+2y,y),f4-(x-2,y+1) ,f5 (x,y^3-y) prove or disprove that fn isdistance-preserving
- Q Consider a population of antelope, with P0=2,750, carryingcapacity K=3,875, and growth rate r=0.073 (or 7.3%) per year.Assuming that this population follows logistic growth, find P(t),then use the solution to predict...
- Q A manufacturing company produces two models of an HDTV per week,x units of model A and y units of model B at a cost (in dollars)off (x, y) =(8x^2+8y^2)/4 .If...
- Q You are designing the top of a pencil pouch that consists of arectangle to which a semicircle has been attached to both ends. Thesemicircle will be made from material that...
- Q Find the distances:A) Between ?1=?2+2?,?1+?,?3??and ?2=?4,?5?3?,1+4?? .B) Between the planes 2???+5?=0 and 2???+5?=5 .C) From the point (1,2,3) to the line ?=???,4??,1+4?? .
- Q (1 point) Is the point (?4,?5,3) visible from the point (4,5,0)if there is an opaque ball of radius 1 centred at the origin?Suppose that you stand at the point (4,5,0)...
- Q find the volume of the largest rectangular what's inthe first octant with three faces on the co-ordinate planes and onevertex on the plane8x+y+3z=9
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!