Calculus question and answers for October 10, 2023
- Q point amina occupies the part of the rectangle 0 x 1 0 y 4 and the density at each point is given by the function p x y 7x 5y...
- Q ng polar coordinates evaluate the integral R sin x y dA where R is the region 16 x y 25
- Q The assets and liabilities of a salesperson are listed below Home Value 264 500 Retirement Portfolio 473 906 Credit Card Balances 58 236 Bank Loan 35 275 187 632 22...
- Q Suppose a gauge at the outflow of a reservoir measures the flow rate of water in units of ft3 hr The total amount of water that flows out of the...
- Q Find the equation of the circle shown in the figure x 4 y 4 16 6 4 X 2 y 6 4 2 2 2 X
- Q Q3 a Name the following equation then solve it x 2 y prime prime 20 y 0 b Name the equation given below and show how you can reduce it...
- Q 50 40 30 20 10 10 10 10 20 30 40 Lester is a lifeguard and spots a drowning child 40 meters along the shore and 50 meters from the...
- Q Given the equation below find dz dy dz y 36x 0 3xy y 40 Now find the equation of the tangent line to the curve at 1 1 Write your...
- Q et y 3z and the change in y Ay when z 1 and Az 0 4 ind the differential dy when z 1 and dz Question Help Video 0 4
- Q Help Entering Answers 1 point Find the three angles of the triangle with the given vertices P 1 1 1 Q 1 5 2 and 1 2 3 R 6...
- Q Use Green s Theorem to evaluate fyr dx x dy where C is the left half x 0 of x y 25
- Q Use the chain rule to find and where First the pieces 885868 dx dy 2x y s 2 8 And putting it all together dz ds 168s 162 158t 162...
- Q For the given position vectors r t compute the tangent velocity vector r t for the given value of t A Let r t cos 5t sin 5t Then 0...
- Q SNA empting re is no like 1 quare root of a ria was trying to of arst ng R 6 G ytical geometry that 1 as well as the B...
- Q 1 point Set up the integral for the area enclosed by the entirety of the three leaf rose r 5 sin 30 Volume
- Q Consider the curve r e t cos 5t e t sin 5t e Compute the arclength function s t with initial point t 0
- Q Match the functions with the graphs labeled A G As always you may click on the thumbnail image to produce a larger image in a new window sometimes exactly on...
- Q Find the arclength of the curve r t 7 2t et e t 0 t 1
- Q Evaluate the function at the specified points h x y z 1 yz 5 4 6 3 2 5 x4 At 5 4 6 At 3 2 5
- Q Which equation has x 6 as the solution O log 36 2 log 2x 9 3 O log 216 x log 2x 3 2
- Q Find the distance from the point 4 1 0 to the plane 4x 4y 3z 6
- Q Which of the following is the inverse of y 3 o y 3 2 3 O y log X OY 3 O y log x
- Q Find the solution of the following initial value problems f x 12x 7 f 0 4 The solution to the initial value problem is f x
- Q Make use of Laplace transform to solve the following differential equation that satisfy the given initial conditions y 10y 9y 51 y 0 1 y 0 2
- Q Question 2 i 10 marks Find a ER such that y x x is a solution of the following differentia equation x y 10xy 18y 0 x 0 00 ii...
- Q Textbook Videos An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per second The pyramid at the top has the shape of a...
- Q Find the maximum and minimum values of f x y 4 y 10 x subject to the constraint x4 y 25 using the Lagrange s multiplier method
- Q Given the function f 1 1 e Determine the open interval s where the function is concave up Determine the open interval s where the function is concave down Determine...
- Q If the graph of the antiderivative g x of f x 1 1 xlnx in g x is 2 3 If In 4 If sinx 3 cos x dx sin...
- Q 1 2 3 4 If the graph of the antiderivative g x of f x in g x is If 6 If 7 If sinx 3 cos x sinx cos...
- Q 4 9pts Write down the 3 x 3 matrix having eigenvalue 1 with eigenspace E span 0 0 and eigenvalue 2 with eigenspace E2 span 101 020 Ja C 0
- Q Given the autonomous system dx dy dt dt find the critical points b solve the phase plane equation and classify the critical points analyzing trajectories of the syst find the...
- Q 1 Construct a clamped cubic spline for the data f 8 3 17 565 and f 8 6 18 505 Round your calculations to 3 decimal places
- Q 7 5 6 8 3 A 98 B 102 C 108 D 110 1 2 4 ell m l m If the measure of 25 3x and the meas of...
- Q 1 Find the general solution to the following second order linear homoge neous differential equations a t y 3ty y 0 t 0 y t b ty y 4t y...
- Q ve the general solution of the following differential equation y 2 x 2y x 3y x tan x S 15
- Q Solve the initial value problems b 2v sin x cos x y sin x dx sin x 2v cos x dy 0 v 0
- Q The temperature in degrees Celsius C of the water in a pond is a differential function of time The table below shows the water temperature as recorded on various days...
- Q Find the indefinite integral antiderivative sin 9x dx Preview My Answers Submit Answers
- Q 23 Find 2u v when u 4 3 and v 1 2 a 7 8 b 3 5 C 2 7 d 1 9
- Q 2 What is the standard form of the equation of the conic given below 4x 5y2 16x 30y 9 0 a C x 4 y 3 4 11 C b...
- Q Use the intermediate value theorem to verify the given polynomial has at least one zero c in the intervals specified Do not find the zeroes H x 2x 3x 14x...
- Q 20 8 Solve the initial value problem x 1 y 4xy 2y 1 and y y2 given that y x 1 2 x 1 are solutions of the homogeneous D...
- Q Encuentras los interceptos y las as ntotas completa la tabla y luego bosquejas la gr fica de Expresar la expresi n factorizada Intersecciones con x Intersecciones con y As ntota...
- Q Solve the following initial value problem IVP for the forced wave equation Utt c Uzz u x 0 5 u x 0 x
- Q 1 sin x 2 Find the equivalent for the trig identity expression cotx a cos x b sin x c tan x d cot2x
- Q Problem An object of 5 kilogram mass is thrown from the top of a 100 story building about 305 meters above the earth s surface If it takes the object...
- Q 3 10 Pts Find the critical points of the function f x y x 8xy 2y 3 and use the discriminant D to classify each point as either a local...
- Q 2 3n 38 Findin 6n A does not exist B 1 C 0 D 2
- Q 15 Let Z 2 3i and z2 1 i Find Z Z2 A 1 2i B 1 4i C 3 2i D 3 4i
- Q For which value of a the system of ODES 2 2 cos 11 2 3y has an unstable focus at 3 1 3 2 0 0 tanh asin 12 Select...
- Q Find the critical number s of the function f x x5 O There are no critical numbers 0 x 0 0 x 1 x 8
- Q P Given function f x y x y 147x 243y 3 Find the critical points and determine whether each critical point is a maximum minimum saddle point or none of...
- Q 55 Find the center and the radius of the circle with the given equation x y 6x 8y 16 0
- Q f is a function of g f 6 3 f 6 2 You know that g is a function of t g 3 6 g 3 4 a Draw the...
- Q Determine if the DE is homogeneous or nonhomogeneous Explain your answer 2y 5y 12y 0 y 2y2ex 0 a b
- Q Consider the function 1 f x x x x x subject to 2x x 1 Find the range of values of constant y so that a f x has a...
- Q Describe the surface with the parametric representation shown below r u v v cos u v sin u 4v for Osus2 0 vs5 Select the correct choice below and fill...
- Q Consider the following vector field the circle C and two points P and Q F x x y a Without computing the divergence does the graph suggest that the divergence...
- Q 5 Find the area of the surface generated when y 2 x from 1 x 4 is rotated around the x axis a c 2A 3 2 5 5 2...
- Q 17 Find the first five terms of this sequence an O A B O C D 1 1 1 1 3 9 27 81 243 1 1 100 Im 1...
- Q se Green s Theorem to evaluate the line integral Assume the curve is oriented counterclockwise 7x cos dy 4x cos ex dx where C is the boundary of the square...
- Q Consider the following e 10x 9 a Find the exact solution of the exponential equation in terms of logarithms X b Use a calculator to find an approximation to the...
- Q Using the Fourier transform solve the following ordinary differential equatio y y g t
- Q 5 A model for the population growth of China is P t 0 000788t 0 00431 7 24623t 1286 78 in year t where t is measured in years with...
- Q 6 Assume x y z f x g y h z separate the partial differential equation 2 22 0 X y x y zz e 0 to three ordinary differential...
- Q i. the intervals where g(x) is increasing;ii. the intervals where g(x) is decreasing;iii. the x-coordinate for the point of inflection;iv. the intervals of concavity;v. the x-coordinate for all local extrema...
- Q One solution of the equation x^3 - 10x +22x-7=0 is 7. Find the sum of the remaining solutions.
- Q The growth rate of the population of India is directly proportional to the current population. Write and solve a differential equation that expresses the rate of change of the population...
- Q New-cars have a distinctive smell which is caused by the out-gassing of chemicals from the carpet, glues, and upholstery. Over time the chemicals in these items evaporate into the air...
- Q If investment A has an annual return of 4% with continuously compounded interest, and Jane has $500 after 4 years, how much money did she start out with?A(t) is the...
- Q A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 2 inches below the...
- Q Identify the open interval on which the function is increasing or decreasing. (Enter your answers using interval notation.)h(x) = cos(), 0 < x < 2#increasingdecreasing
- Q III. (20 pt) Find the complete dimensionless formulation for the following PDE.(Do not solve the problem)Ut=9 UII0 < x < 5u(0, t) = 0,u(5, t) = 10,u(x,0) = cos(2x), 0?x?...
- Q Does the relation represent y as a function of x?Yes, because y may be positive or negativey=+?4-x4No, because some values of a correspond to more than one value of yNo,...
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