Find the vectors T, N, and B at the given point. P(1) - (2², 32², 0). (4.-16, -2) r(t) = t),

Q: Given the Lorenz curve L = x2.59 find the gini index.

A:

Q: Solve the Initial Value Problem. π y' = tan (y), y(In (7)) = (Express numbers in exact form. Use…

A: We have given differential equation  y'=tany dydx=tany 1tany dy=dx     Integrating both sides…

Q: Write the integral in terms of u and du. Then evaluate. (In (x)) 13 [ª X (Use symbolic notation and…

A: Let's solve given integral.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: Sketch the region in the first quadrant enclosed by y = 2/x, y = 3x, and y=x. Decide whether to…

A: Given :

Q: Find the amplitude, the period in degrees, the phase shift in degrees, and the vertical shift. The…

A: A detailed solution is given below.

Q: Find each x-value at which fis discontinuous and for each x-value, determine whether f is continuous…

A:

Q: Integrate: 6 /36 da dx + C When entering answers that contain logarithms you must use parenthesis…

A:

Q: Evaluate the limit t³ - 1 1 lim t 1 ²

A:

Q: Using d'Alembert's solution, we obtain that the solution to the problem utt=9uxx u(x,0)=3x²,…

A:

Q: Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance…

A:

Q: each

A: We have to find its value according to the given information.

Q: Consider the following. quadratic X y -2 5 -1 -3.5 0 -8 1 -8.5 2 -5 3 4 14 Find the equation of the…

A: The given data is:

Q: Suppose the amount of caffeine (in mg) in a person's body t hours after consuming it is C(t) = 16…

A:

Q: The Mexican subsidiary of ThermoMaster manufactures an outdoor thermometer. Management estimates…

A:

Q: Evaluate the limit lim 6 (²1) y→2_8y²(y − 1)³

A: To evaluate the following limit. limy→2 6y2-18y2y-13

Q: sin ln x X dx = (

A: formula used is d dx(lnx)=1x∫sinxdx=-cosx+c

Q: Consider the position function s(t) = -4.9t² +27t+16. Complete the following table with the…

A: A detailed solution is given below.

Q: Suppose we have a function defined by f(x)={2for x>1,xfor x≤1. What is the value of f(1) ?

A:

Q: Ja Observe the high of the water. Water is being poured at a constant rate into a cylindrical vase.…

A: We need to choose correct option.

Q: Suppose that a colony of Jeevesium beetles grows exponentially with doubling time 8 years. How many…

A:

Q: Let f(x): This function has: 1) A y intercept at y= A = 2) Roots at A and B, where A < B B = =…

A: We can solve the following problem as follows

Q: Find the values of where the tangent line to the graph of f(x) Give exact answers (not decimal…

A:

Q: In Exercises 17-24, find the horizontal asymptotes. 17. f(x) = 18. f(x): = 19. f(x) = 20. f(x) = 2x²…

A:

Q: For what value of the constant c is the function f(x) continuous on the interval (-∞, ∞) where 4c -…

A: Give query is to find the value of c.

Q: If 0.6 J of work are needed to stretch a spring from 14 cm to 16 cm and 1 J are needed to stretch it…

A:

Q: how long will it take for the population to reach 140 grams

A:

Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

A: Given,  S'(t) = -20 t2/3   To find : Time required to manufacture computer

Q: -4 x = y² - 3 -2 y 3 2 -2 -3 y = 1 x = e 2 y = -1 4 X

A:

Q: (a) Evaluate F(-2) (b) Evaluate lim F(x) For parts (c)-(e) please read the graph of f(x) (c)…

A:

Q: Find the conservative vector field for the potential function by finding its gradient. f(x, y) = x²…

A:

Q: 10. The approximate length, L, of rope in a ball of rope is given by the formula 4 = 4R³ 3², where R…

A:

Q: Using laws of logarithms, write the given expressions using sums and/or differences of logarithmic…

A: Formula used logx + logy = log( xy ) logx - logy = log( xy ) logxy = ylogx

Q: Compute the derivative of the vector-valued function. r(t) = et i + 5et j + k

A:

Q: Suppose f and g are continuous functions such that g(5) = 2 and_lim [3f(x) + f(x f(x)g(x)] = x → 5…

A: Given;  g(5)=2 and limx-5[3f(x)+f(x)g(x)]=20.

Q: (x² + y²) exp(2x) + 4) 4xy

A:

Q: Recent studies indicate that the average surface temperature of earth has been rising steadily. Some…

A: Given temperature model T = 0.01t + 8.40where T is a temperature in °c and t represents years since…

Q: x²sin+y²cos + xy In X X X+Y x-y

A:

Q: 18. f(x) = 8x³ - x² 7+11x 4x4 -

A:

Q: Find the period in degrees, the phase shift in degrees, and the vertical asymptotes (if any): f(x)…

A: Given: f(x)=19tanθ3-90

Q: Qu Solve the following ordinary differential eations: -x=5y²x³

A:

Q: Find the vectors whose lengths and directions are given. Try to do the calculations without writing.…

A: Note : As per rule I need to solve only first three subparts.

Q: The vector v = ai + bj is perpendicular to the line ax + by = c. Use this fact to find an equation…

A:

Q: Jonathan is going to throw a ball from the top floor of his middle school. When he throws the ball…

A:

Q: b) A farmer wants to put a fence around a rectangular paddock which is part of his block (see…

A: A farmer wants to a fence around a rectangular paddock which is part of his block. Only three sides…

Q: Suppose f and g are continuous functions such that g(6) = 5 and lim [3f(x) + f(x)g(x)] = 48. Find…

A:

Q: For any real number b > 1, and any real numbers x True False log, (x - y) = > 0 and y> 0, it must be…

A:

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 3y' - 10y = 0,…

A:

Q: Find the area of the shaded region. y 4 3 2 1 (1, 1) 2 y=√x 4 X 6 X = 8 8 X

A: Topic - Area of shaded region We are given curves as y=x3andy=1xshaded area is from x=1 to x=8

Q: Use the identity sin 20 = 2 sin cos to evaluate lim 0 → 0 sin 20 - 2 sin 0²

A: To find:- limθ→0sin2θ-2sinθθ2