Find the linear approximation to h(y) = Sin(y+ 1) at y =0 Use the linear approximation to approximate the value of Sin(2) and Sin(17) Compare the approximated values to the exact values.

Q: Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian…

A:

Q: sin 3t 4. f(t) t

A:

Q: The graph of the solution region for a system of inequalities is shown below. 15 14- 13- 12 10- 9-…

A:

Q: List the elements of the given set. the sets (A ∩ B) ∪ C and A ∩ (B ∪ C), where A = {1, 2, 3, 4, 5,…

A:

Q: Evaluate the line integral f. y³ dx – x³dy, where C is the positively oriented circle of radius 2…

A:

Q: 3. 4. Consider the matrix A = -1 2 1 3 1. Find the determinant det(A – Al). Your answer should be a…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: To find the volume of the solid that is obtained by rotating the region bounded by below equations…

Q: Evaluate y" - 2y' + 5y = 0 y (0) =1, y'(0) =3 Select the correct response: y = e^t cos 2t + e^t sin…

A:

Q: 2x + ys 20 x+ ys 20 x 2 0 y 2 0 Profit : 5x + 6y What is the value of X that gives the best profit?

A: We will solve the lpp by graphical method.

Q: 5. Two people are 50 feet apart. One of them starts walking north at a rate so that the angle shown…

A: I just used trigonometric ratio and derivatives to find the answer.

Q: ow much interest will you have to pay f nual rate is charged7

A: Given,  The interest is calculated for 1 month of the sum owned of $ 592 at 21% annual rate.

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A: Given: -2x-3y-5z=8 25x+19y+81z=-26 -5x-3y-17z=2 We have to solve the system,

Q: Write an equivalent double integral with the order of integration reversed. dy dx dx dy dx dy dx dy…

A:

Q: Find the inverse LT of: F(s) = 28+16 g2 -16 cos 4t – sin 4t cosh 4t – sinh 4t 2 cos 4t + 4 sin 4t 2…

A:

Q: 5. Two people are 50 feet apart. One of them starts walking north at a rate so that the angle shown…

A: Solution :-

Q: Solve the following LP formulation and determine the number of Surplus units in constraint B. MAX 4X…

A: We will draw the constraints in the x-y plane to get feasible region with corresponding extreme…

Q: Use Simpson's 1/3rd rule to find the approximate value of x. 30 140000 X = 2000ln 9.8t dt…

A:

Q: Consider the surface xyz = 24. A. Find the unit normal vector to the surface at the point (2, 3, 4)…

A:

Q: det A = 9214녀 Nor4 N 5 O o 2NN

A:

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, Y2, Y3, and solution…

A:

Q: 1.0F 8 OP R 0.5 0.0 natics 12 -0.5 -1.0/8 -1.0 -0.5 0.0 0.5 1.0 1. A contour plot of a function f is…

A: We have to find the correct answers to parts a., b., and c. of question 1. Given : contour plot of…

Q: Evaluate Laplace of [8 cos (4t) - 10 sin (5t) + 3 cos (2t) ] Select the correct response: none of…

A: we have to find out the laplace transformation of f(t)=  8cos(4t)-10sin(5t)+3cos(2t)i.e,…

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A:

Q: solve for the following, 1. Manually solve for the general solution of this integral. 2. Manually…

A: The given integral is ∫-21x44+3x66dx. (1) To find: The General Solution of The above integral. (2)…

Q: for the f1lowing solids whose H-w.4 hRights ave definedby ECX,y) and bases bounded by the fottowing…

A:

Q: he volumes of the solids generated by revolving the regions bounded by the graphs of the equations…

A: We have to find the volume about the given lines.

Q: 5. Determine which of the following purported recursive definitions are correct. Circle Yes if…

A:

Q: Problem 2. Let N1 and N2 be any norms on R". Let D C R" and let f : D → R". Show that the two…

A:

Q: L. If f(x) = J dt, (1 + sin(tº )]dt , find f'(#)- dt, where g(x) =

A:

Q: Write out the first four terms of the Maclaurin series of f if f(0) = 2, f'(0) = 2, f"(0) = 14,…

A:

Q: With the following arguments use natural deduction to prove their validity. Use the conditional…

A: We have to prove the validity of the given arguments using the conditional proof method.

Q: Let an be an odd integer for each integer n > 1. Prove that if n is odd, then the sum Eaj is odd j=1…

A:

Q: Consider the polar curves C2 :r = 4 cos 0 and C3 : r = 4 sin 0. (b) Set up the integral that gives…

A: The given curves are C2: r=4cosθ and C3: r=4sinθ .........(1) To find: The area under the given…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.)…

A:

Q: Consider the solid G bounded above by z =sqrt(4 − x^2 − y^2) and below by z =√3. Let σ be the…

A:

Q: b. a. d. c.

A: Solution:

Q: 1 9 (c) 0 0 O The corresponding system has no solution, . O The corresponding system has one…

A:

Q: 8. A lamina occupies the top half of the disk x2 +y? < 4. The density at any point on the lamina is…

A:

Q: Given dy/dx = x²+y² and y(1) = 1.5, y(1.2) = 1.704, y(1.4) = 1.911, y(1.6) = 2.213, evaluate y(1.8)…

A:

Q: Find the general solution of this ODE: d'y dy +13- + 36y = 4t2 + t - 7 dt dt The solution will be of…

A:

Q: d. When should the population be 999,999? Use the function from b. Write your answer in a complete…

A:

Q: A ship is sailing N40°W at a speed of 22 knots. A current of 6 knots is travelling from S50°w.…

A: We have to find actual velocity of ship and it's course.

Q: Detemine wheather the following series are absolotely convergent, conditionally Can vegent, di…

A:

Q: Find a constant C such that p is a probability density function on the given interval and compute…

A: To find- Find a constant C such that p is a probability density function on the given interval and…

Q: v1 v2 v3 v4 Question: 1.If you agree the graph has an Euler Cycle, write it down, starting at vertex…

A: To find Euler cycle in given graph with starting vertex is v6

Q: Using the Adams-Bashforth Predictor and Corrector Method, find y(3.9). given the differential…

A:

Q: x < 1 1<x < 2 x 2 2 as a sum of terms involving translations of the unit step function. Show your…

A:

Q: Determine the supremum of the following set with full justification, if it exists. =(-1)" (","). n…

A:

Q: Suppose a population function P(t) satisfies the following differential equation. P is measured in…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: In t+1-2 dt, if we let t+1-2, then dt is equal to A 2(x2+2)dx (в 4x³dx O 4x(x2+2)dx D None E…

A: Option C is correct.