Match the equation with the graph shown in red below. (1,1,1) r(t) =i+tj+ tk, 0≤ t ≤4 O r(t)= ti+tj+t²k, 0≤t≤1 ○ r(t)= ti+t²j+f³k, 0≤t≤1 O r(t)= ti+t²j+ tk, 0≤ t ≤1 O r(t)= ti+tj+ tk, 0≤t≤1
Q: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…
A: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…
Q: Given: f" f(x)dx= 36, [ f(x)dr = 12, 2. Find the ff. numbers: So a. C. f(x)dx b. [ (2f(x) + +12g(x)…
A: Explained below
Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay for 19 8 7 -6- 5 4- -3- H…
A:
Q: Question 12 Find a at time t = 1 for the plane curve r(t) = 4t²i+ 3tj. Round your answer to three…
A:
Q: ex-4e-x ex 2 x-² / + C ex Option 1 dx 2 x + ² + C ex O Option 3 x+2 ex + C O Option 2 x-2e * +C O…
A:
Q: ind the standard equation of the sphere with diameter and end points below (6,-1,-2), (4,11,12)
A:
Q: If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step.…
A: Given :fx=2-3x2
Q: 3. Evaluate the definite integral below: S¯¼ √x² + 2x − 5dx + Sq − √x² + 2x − 5dx
A: To solve the following integral problem
Q: Researchers at two universities have developed a piecewise function that can be used to estimate the…
A:
Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…
A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…
Q: Solve the initial value problem y(x)= dy da + y cos = 4 cos x, y(0) = 6
A:
Q: Question 12 a)! Let C be a curve defined by the vector equation r(t)=. P(32, 52, e³2) Show that the…
A:
Q: Express the following as a linear combination of u =(3, 1, 6), v = (1, -1, 5) and w = (4, 2, 4).…
A: To write down the vectors into the linear combination of the given vector.
Q: nd the radius of convergence, R, of the series. ∞ (-1)^x" √n n = 1 nd the interval, I, of…
A: We have to find the radius of convergence
Q: LI) Prove that (3
A:
Q: 19. For a given function, f(x) = ³ - 15x² + 48x + 2, (a) Find the interval(s) on which f is…
A: Note to student : Thanks for posting your queries. But there are multiple parts given. As per…
Q: The figure to the right shows four regions bounded by the graph of y=xsin x: R₁, R₂, R3, and R4,…
A:
Q: 2/4 + ²/81 + ²/1/729 t. Ⓒ274
A: 2.Solution:29+281+2729+.......29+292+293+.......this series is geometric series.Common…
Q: Determine the area between the graphs of the equations y=x and y=(x)^2-1. Integrate over the x-axis…
A:
Q: Answer the following questions for the function f(x)=x√x²+1
A:
Q: What is the general solution to ya dy dx ○ y = ±₁/2. + C 4x In(4) o y = +. o y = o y = + 4x In(4) +…
A:
Q: 7. Use the Method of Lagrange Multipliers to find the extrema value of a function f(x, y, z) = 2x² +…
A: Concept: Lagrange multipliers: A straightforward and elegant technique for determining the local…
Q: :) [x²ai 6.) sinxdx
A:
Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)
A: The line through the points (2,8,3) and (11,20,21)
Q: Find fx and f, and evaluate each at the given point. an(1), (6, -6) f(x, y) = arctan fx(x, y) = (No…
A:
Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…
A: Here, the given parametric equation is: x=1-t2, y=2t-t2, -1≤t≤2
Q: Find all points where the function is discontinuous. Ox=1 O None O x = -2 Ox= -2, x = 1 →→x
A:
Q: C 3X -2 3X Se ³x (e³x +4)² dx
A:
Q: 5. y = 8x³ - 1 3 4 x 2 - 1 -
A:
Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…
A:
Q: A. B. Evaluate the following integrals using substitution method: (³-1) ²/3 √2 5.² 0 √r sin (1 + x²)…
A:
Q: Definite integral
A: Given :Definite integral
Q: Question 3 a) b) [ Find the limit, if it exists, or show that the limit does not exist. lim…
A: a)limx,y→0,07x2+2y2yb)limx,y→0,049x2-98xy+49y27x-7y
Q: Function: w = y3 - 3x2y, x = es, y = et Point: s = 2, t = 2 Find del w/del s and del w / del t using…
A: If w=f(x,y) and x=g(s) and y=h(t) then, ∂w∂s =∂w∂x.∂x∂s+∂w∂y.∂y∂sand ∂w∂t…
Q: A manufacturer estimates that it's product can be produced at a cost of C(X)=40000-100x+x^3. If the…
A:
Q: Find the radius of convergence R of the series. Σ 4²(x + 4)" n = 1 R Find the interval of…
A: To find the Radius of convergence and interval of convergence of the given series.
Q: Find the total differential. z = 8x4 8x4y10 dz = (No Response)
A:
Q: f" s [0, π]. Also, find the smallest value of x at which the average value occurs. Given that sin…
A:
Q: The given family of functions is the general solution of the differential equation on the indicated…
A:
Q: 18. Assume that f"(x) = (x + 2)²(x-2)(x - 3)(x - 5)³. Find x-value(s) for all inflection point (s).
A: If sign of f''(x) changes when we move from left to the right of x=a then x=a is known as the point…
Q: Use a graphing calculator to determine which expression can be used to complete the identity below.…
A: topic- trigonometric identities identities useda3+b3=(a+b)(a2+b2-ab)sin2x+cos2x=1
Q: Find the double integral that will compute for the area of the region bounded by x = y² and x = 4.
A: The given curves are; x=y2 and x=4 So, the bounded region is as shown below. As we know that;…
Q: y' = 2xy²
A: Given: y'=2xy2We need to solve the above differential equation.
Q: Σ n=1 sin n n2 + 10
A:
Q: Devise the exponential growth function that fits the given data, then answer the accompanying…
A:
Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 8xe…
A: The given function, z=8xey-12ye-x
Q: Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1, 2)…
A:
Q: Explain whether or not the Quotient Rule should be used to find the partial derivative. Do not…
A:
Q: dp dt Suppose that the current population is 100,000. (a) What is the predicted rate of growth 3…
A:
Q: a. b. C. Evaluate the following double integrals: (2xy + 3y²)dydx (r)drde (e-²) dydx (Changing the…
A: We need to evaluate the given double integrals. Please see below fora detailed answer.
Step by step
Solved in 2 steps with 1 images
- a) Solve the following boundary value problem for the equation given below; b) Graph u (x, t) as a function of x and values of t = 0; 0.1; 0.2 and one with t = 10, 20, 30Two interacting populations of hares and foxes can be modeled by the recursive equations h(t + 1) = 4h(t) − 2 f (t) f(t+1)=h(t)+ f(t). For each of the initial populations given in parts (a) through (c), find closed formulas for h(t) and f (t). a. h(0)= f(0)=100 b. h(0)=200, f(0)=100 c. h(0)=600, f(0)=500a. Use the 2nd-order Runge-Kutta Method to approximate y(t) with h= 0.25 b. Use the 4th-order Runge-Kutta Method to approximate y(t) with h=0.25 c. Plot both sets {yi} obtained in (1) and (2) d. Determine the eventual population level (as t→∞) reached from initial population.
- 1) Find the minimum possible flow along edge DA? 2) If the flow along edge AB is 31, then the flow along edge CD is? Solve it early but correctly.suppose that alpha(t) = 12t^2-6,with v(0) = 5 and s(0) = 10 find s(t) and graph alpha(t), v(t) and s(t)A cup of water at an initial temperature of 81°C is placed in a room at a constant temperature of 24°C. The temperature of the water is measured every 5 minutes during a half-hour period. The results are recorded as ordered pairs of the form (t, T), where t is the time (in minutes) and T is the temperature (in degrees Celsius). (0, 81.0°), (5, 69.0°), (10, 60.5°), (15, 54.2°), (20, 49.3°), (25, 45.4°), (30, 42.6°) (a) Subtract the room temperature from each of the temperatures in the ordered pairs. Use a graphing utility to plot the data points (t, T) and (t, T − 24). (b) An exponential model for the data (t, T − 24) is T − 24 = 54.4(0.964)t. Solve for T and graph the model. Compare the result with the plot of the original data. (c) Use a graphing utility to plot the points (t, ln(T − 24)) and observe that the points appear to be linear. Use the regression feature of the graphing utility to fit a line to these data. This resulting line has the form ln(T − 24) = at + b, which is…
- 7. Determine values of a, b, and c such that the graph of y = ax³ +bx² + c has a local extremum at (2, 11) and a point of inflection at (1, 5).A1 How do I identify the order of differencing (d) for these ARIMA models? Any explanation for how to find d by looking at the equation like in this form would be appreciated. Thanks!Sketch a graph of x=-3+2cos(t), y= -2+2sin(t), 0< t < 2pi
- 13. Find the minimum and maximum value of the function on the giveninterval.y = 2x 2 + 4x + 5 [-2, 2]question 3 Sketch the region that corresponds to the given inequalities. 10x + 5y ≤ 50 5x + 10y ≤ 50 5x + 5y ≤ 30 x ≥ 0, y ≥ 0 Say whether the region is bounded or unbounded. -The region is bounded. -The region is unbounded. Find the coordinates of all corner points (if any). (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.) (x, y) = (x, y) = (x, y) = (x, y) = (x, y) =Answers: 2a) Region: F = 20.93, Reject Ho; Affiliation: F = 248.21, Reject Ho; Interaction: F = 7.46, Reject Ho 2b) Ont vs. Mar: Q = 9.17*; Ont vs. Que: Q = 7.18*; West vs. Mar: Q = 8.37*; Ont vs. West: Q = .80(ns); West vs. Que: Q = 6.38*; Que vs. Mar: Q = 1.99(ns)