Calculus question and answers for October 08, 2023
- Q Let f''(x) = 1 2x3 2Find the particular solution to the above differential equation that satisfies the following initial condition.f has a horizontal tangent line at (1, 2).
- Q Let df dy = 6 sin (y)Find the particular solution to the above differential equation that satisfies the following initial conditions.f'(? 2) = 8f(5? 3) = 7
- Q Let h''(t) = -3 sin(t)Find the particular solution to the above differential equation that satisfies the following initial conditions.h'(?/2)=8h(4?/3)=3h(t)=
- Q Let d f/dv=4Find the particular solution to the above differential equation that satisfies the following initial conditions. f'(3) = -8f(1) = 6f(v) =
- Q Let d f/dz=e^- 4zFind the particular solution to the above differential equation that satisfies the following initial conditions.f'(0) = 8f(0) = 7f(z) =
- Q Let dg/dy=3e^yFind the particular solution to the above differential equation that satisfies the following initial condition. g(-3) = 2g(y)=
- Q Let h''(x) = 36x + 16Find the particular solution to the above differential equation that satisfies the following initial conditions. h'(0) = 2 h(- 6) = -1h(x)=
- Q Let d^2h/dt=30tFind the particular solution to the above differential equation that satisfies the following initial conditions.h'(0) = 7h(9) = -5h(t)=
- Q Let dh/dx=-6/1+x^2Find the particular solution to the above differential equation that satisfies the following initial condition. h(1) = -3h(x)
- Q Find the area of the region under the graph of the following function.f(x) = 2xe-x from x = 4 to x = 7
- Q Use long division to find the quotient and remainder.(4x + 30x+14) / (x + 7)What is the quotient?What is the remainder?
- Q If a = 20 and c = = 28, find the missing sides and angles in the right triangle, where a is the side opposite of angle A, b is...
- Q A line that passes through the points (-4, 10) and (-1, 5) can be represented by the equation y=-5 3(x-2). Which equations also represent this line? Select three options.y=-5 3x-2y=-5...
- Q If A = 31 and c = 19, find the missing sides and angles in the right triangle, where a is the side opposite of angle A, b is the...
- Q Solve the equation and write the solution set.2x 13x +2=0
- Q Find (gof)(x) for the given functions. Simplify the expression. Do not enter any spaces in the answer.f(x) = 6x - 1, g(x) = 5x + 2
- Q Given the following function, determine the interval for the principal cycle. Then for the principal cycle, determine the equations of the vertical asymptotes, the coordinates of the center point, and...
- Q Give the order of the differential equation below, where y represents a function of the variable x.y-2y'-xy" = 5Choose the correct answer below.A. The given equation is a second-order differential...
- Q Define first order Linear differential equation and find the solution of givendifferential equation.dy/dx + y/x = x If y=1 when x=1.
- Q Use ordinary division of polynomials to find the quotient and remainder.(b2-3b-28)(b + 2)Choose the correct quotient.A. b-28, R 11B. b-7C. b-4D. b-5, R (-18)
- Q Fill in each blank with the appropriate number related to the exponential expression.-34a. The base of the expression is Type your answer hereb. The exponent of the expression is Type...
- Q Use a substitution v=y' to reduce the order and solve the differential equation.Then apply the initial values to find the solution to the initial value problem.dy /dt+ 1/y (dy/dx)^2= 0;...
- Q Of all numbers whose difference is 14, find the two that have the minimum product.What are the two numbers?
- Q Find the relative maximum and minimum values.f(x,y) = x +y - 24xySelect the correct choice below and, if necessary, fill in the answer boxes to complete your choice.A. The function...
- Q The population density of a city is given by P(x,y)= -25x-20y + 200x+600y + 180, where x and y are miles from the southwest corner of the city limits and...
- Q If it is possible to solve for y in terms of x, do so.2x - 9y = 18Select the correct choice below and, if necessary, fill in the answer box...
- Q Find y' in two ways for the equation 2x + 7y + 9 = 0.(A) Differentiate the given equation implicitly and then solve for y'.(B) Solve the given equation for...
- Q Use the price-demand equation to find the values of p for which demand is elastic and the values for which demand is inelastic. Assume that price and demand are both...
- Q 1. Find the general solution to the differential equation dy/ dx = 2xy.
- Q *2. Find the solution to the following initial value problem: dy/ dx = e^y+x given that y(0) = 0
- Q For the function f(x)=(x-1) 4/5(a) Find the critical numbers off (if any);(b) Find the open intervals where the function is increasing or decreasing; and(c) Apply the First Derivative Test to...
- Q Use the chain rule to find dz/dtz = sin(x) cos (y), x = ?t, y = 6/t
- Q Solve the system of the simultaneous differential equationsdx/dt + y = e^t, x(0) = 1x - dy/dt = t, y(0) = 1
- Q Given x = ?/3 what is the exact value of sin(2? - x)?
- Q Next question A motorcyclist being monitored by radar accelerates at a constant rate from 0 mph (v(0)=0) to 55 mph in 18 sec. How far has the motorcycle traveled after...
- Q Consider f(x) = 38x -112 / x-8Determine the intervals on which f is decreasing.f is decreasing on:f is decreasing nowhere.Determine the intervals on which f is increasing.f is increasing on:f...
- Q Consider the following.x = sin(6t), y = cos(6t), z = 12t, (0, 1, 2?)Find the equation of the normal plane of the curve at the given point.Find the equation of...
- Q Consider g(w) 11 ln(10 - 9 ln w)=Determine the intervals on which g is decreasing.Og is decreasing on:Og is decreasing nowhere.Determine the intervals on which g is increasing.Og is increasing...
- Q An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.4 minutes. A random sample of 33 dive durations has a mean of 12.4 minutes...
- Q Find the partial derivatives of the functionf(x, y) = xye^3yfx(x, y) =fy(x, y) =fxy(x, y) =fyx(x, y) =
- Q Given the following linear system of ODE:V?' = 4y?+2y?V?' = 10y?-4y?what is the type of the critical point?the critical point is spiralthe critical point is saddlethe critical point is proper...
- Q The differential equation given below is exact(y cos(x)+x^4)dx+(sin(x)+y^5 )dy = 0.Select one:TrueFalse
- Q The bird flu is considered dangerous when the number of people getting sick is growing at a rate proportional to the number of people infected. Public health workers track bird...
- Q Rewrite the following equation with the variables separated: y' - 4x = 3x.A. dx = (4x + 3x )dyB. dy = (4x + 3x)dxC. dy/dx = (4 + 3x)xD. dy/dx...
- Q A boat purchased for $25,000 depreciates exponentially. After one year, the car is valued at $20,000. How fast is the value of the boat depreciating after two years?A. Decrease $3730...
- Q The mess in a restaurant can be measured by M(t). Assume that M(0) = 0, the restaurant starts out each month completely clean. Over time the rate of change in...
- Q The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption of 15 mL of ethanol (corresponding to one alcoholic drink). The resulting data were used to...
- Q For the polynomial below, 1 is a zero.3f(x) = x + 4x + x - 6Express f(x) as a product of linear factors.
- Q Solve the initial value problem below using the method of Laplace transforms.y" + 11y' + 30y = 56 e, y(0) = -6, y'(0) = 43
- Q A machine is rolling a metal cylinder under pressure. The radius of the cylinderis decreasing at a constant rate of 0.02 inches per second and the volume is 240cubic inches....
- Q Compute the instantaneous rate of change of the function at at x a 2 F x 9x x a 4 option A 71 1B 72 C 68 Dy 68
- Q Enter the expression which represents In k 2 In 7r as a single logarithm 1 Note When entering natural log in your answer enter lowercase LN as In There is...
- Q 18 find the derivative of the given Function y x 3x sophy on 29 Type 5 an exact answers of knowl
- Q Solve 7 x 4 49 x 5 Do not include x in your answer Provide your
- Q Solve 4 x 4X 5 Do not include X in your answer Give your answer as a reduced improper fraction if necessary
- Q Solve 744 10 Enter an exact answer or round your answer to the nearest tenth Do not include x in your answer
- Q Enter the expression which represents In 30 2 ln 5 In 15 as a single logarithm and simplify your answer Note When entering natural log in your answer enter lowercase...
- Q Enter the expression that represents 3 In 2 In 5 In 4 as a single logarithm Note When entering natural log in your answer enter lowercase LN as In There...
- Q The vertical asymptote of the curve 8x y x 7 is given by x
- Q Question Use the Quotient Rule of Logarithms to write an expanded expression equivalent to log 2 3 parenthesis around your logarithm functions log x y Note If you are using...
- Q Let f x x 3x 2 cos TX 16 we find f n 2 5
- Q Pulley wheels having diameters of 84 0mm and 226mm are situated with their centres 855mm apart Find the length of the connecting belt between P and Q the points where...
- Q The profit function in millions for a beverage company for the years 2009 through 2017 can be approximated by f x 28x 616x 1025 where x 9 corresponds to the...
- Q Use the properties of limits to find the indicated limit x 2x 6 lim x x 8x 11 3 2 O A 6 11 OB 1 0 O c OR...
- Q estion 4 point s possible Find all critical numbers for the following function Then use the second derivative test on each critical number determine whether it leads to a local...
- Q A Let X X and X3 represent the times necessary to perform three successive repair tasks at a certain service facility Suppose they are independent normal rv s with expected...
- Q rite the following logarithmic equation as an exponential equation of the form a b
- Q Evaluate thelog216 Write your answer in simplest form
- Q What is the value of logs 25 Do not include log 25 in your answer
- Q Write the following logarithmic equation as an exponential equation of the form a b log 64 6
- Q Find the absolute maximum and minimum of the function f x y 2x 4x y 4y 6 on the closed triangular plate bounded by the lines x 0 y 2...
- Q find the area bounded by the given Y 2x x y 2x 4 option A 31 B 32 34 3
- Q U suppose the supply function of a certain item is DCX 14 x find the producer Surplus given by S X 4x 2 and the demand function option A 16...
- Q valuate the definite integral 7X 2 dx Topsion A 117 By ing G in 17X 21 64 9 n 7 in 2
- Q differential equation sydy 41 find the general solution for the opton A y 15x C B y c G y 3x 6 TS 8 D y 15x 2 c D...
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