Question 16 Consider the following IVP: y"-y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y(t) = 2sinh t + cosh t- 2cos t (B y(t) = 2cosh t + sinh t- 2cos t y(t) = 2cosh t + sinh t- 2sin t Dy(t) = 2cos t + sinh t- 2cosh t

Q: (e + x + 2)dx 3.

A: The sum rule for integration states that ∫fx+gxdx=∫fxdx+∫gxdx. The integration formula for…

Q: Find a suitable form for particular solution of the differential equation y5) + 25y3) = 5 – tešt +…

A:

Q: 12 +4t +10 dt + 2r² + 5t

A: We can solve this by using integration First we decompose it then find constant and next we…

Q: 1. Find the Taylor series polynomial expansion of degree 5 of the function cos x at a == 2

A: We want to find Taylor series of f(x) = cos(x) at a = π2

Q: Find the slope of the tangent line to the polar = 1/0 at 0 = T. curv rve r=

A: The relation between the Cartesian and polar coordinate system is x=rcosθ, y=rsinθ. The slope of the…

Q: The blue fgure is a diation image of the black figure. The labeled poirt is the center of diaton.…

A: Given:

Q: The integral JJI eV 4x2 + 4y² + 4z² dV = mt, where R is the solid hemisphere with x2 + y? + z² < 11…

A:

Q: Let M be a 10 × 10 real matrix such that M2 = M and the determinant of the matrix cannot be 1. Does…

A:

Q: How to found out that for insertion sort the worst-case running time is of the form an2 + bn + c?

A:

Q: Consider the following IVP: у" +у'%3D-сos x;B у(0) %3D а, у(0) -b Find the general solution. A y (x)…

A: Solution of the differential equation

Q: Which of the following is the general solution to the differential equation (х — 4у — 3)dx — (х — бу…

A:

Q: Consider the following IVP: у зу -10у - 1, уo) --1, у(0) - 2 Find the general solution. A 13 St re…

A:

Q: Now that we know the average amount of points our favorite player scored per game, we can find the…

A:

Q: In Exercises 19-20, find ||p|| and d(p, q) relative to the standard inner product on P2. 19. p = -2…

A:

Q: Find the following: A-1 x B-1. 7 -3 5 2 A = B = в -6 4 -5 3 0.11 0.03 A-1 x B-1: 0.21 0.09 0.31 0.03…

A:

Q: Let f(n) = n and g(n) = log2 n. Show that g e O(f) but f ¢ O(g).

A:

Q: Find M{A2 J(P, 4); PT

A: Merlin transform

Q: A random variable has CDF given by SA i 0, 1,2 F. 1 i= 3 if A = 0.63, then what is p3? Round your…

A: Given CDF is Fi = A,i = 0, 1, 21,i = 3

Q: 8. 2z (z – 1)?

A:

Q: 3. Let S= 2 and T be ordered basis for R'. Let v = 5 (a) Find the coordinate vectors of v with…

A: let S=111 , 023 , 02-1 and T=110, 1-10 , 001 be ordered basis for ℝ3 let v=35-2 (a) find the…

Q: solve using separation of variables the partial differential equation du = 5- - 00 0 para u(x,0) =…

A: The given partial differential equation is…

Q: by f(x) = (x2 + 1)35 for all x e Ris A. One-One but not onto B. onto but not one-one C. neither…

A: Given f(x) = (x2 + 1)35

Q: Find the Laplace Transform of e4t + 5 + - S-4 B 1 + - .4 1 s+4 1 + S+4

A: We have to find the Laplace transform.

Q: 92 article in the Journal of the American Medical Association ("A Critical Appraisal of 98.6 Degrees…

A: Sample size less than 30 so we use t test

Q: Consider the following IVP: y" +y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) =…

A:

Q: In Exercises 1-4, let S be the collection of vectors in R? that satisfy the given property. In each…

A:

Q: Determine whether the lines Lj and L2 are parallel. L1: x = 1 – 2t, y = 2 + t, z = 5 – t L2: x = 4 –…

A:

Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. – 2e -2…

A:

Q: (1.4) :(::)-(::) 3 4 3 4 %3D 2 2 2 2 Therefore Axiom 10 holds. Is this true or false? Give reasons…

A: This is the problem of vector space.

Q: The table below gives US. lead emissions. L, into the environment in milions of metric tons for…

A:

Q: Find the area bounded by the curves f(x)=x+8 and g(x)=x²-x.

A: Given curves are f(x) = x + 8 and  g(x) = x2 - x Graph is given by

Q: 4. Find the approximate area under the curve f(x) = x³ – 3x² + 7 on the interval [0.97,3.4]. Use…

A:

Q: 1. 43y こ。 It ex

A:

Q: If x is a continuous random variable, then the total area under the probability distribution f(x)…

A: For a continuous probability distribution, a curve called a probability density function or pdf…

Q: 7. z – 1 -1 (-1)* 8. 3z + 1

A:

Q: Give the coordinates of each vertex of the box in the graph. E 8 D 10 A: B: ( C:( D: ( E: F: G: ( H:…

A: In this question, we have to find the coordinates of the points  A, B, C, D, E, F, G and H.

Q: suppose Vi =( 6,I,0,-1), V2 =(0,りも,1) and b= (l,2,-1,-1). iet W be spanned by v, and Vz. Find…

A:

Q: Show that if f: A-> B is continuous and A is compavt then f(A) is also compact

A: Let , f : A →B be continuous function. Here , A is compact set. We need to prove that , f(A) is also…

Q: Find the coordinates of the image. Ry-axis (S) -- -3 Ry-axis (S) = (Type an ordered pair)

A: Given : The coordinates of a point S is (-3, 4) To find : We have to find the image of S under…

Q: Prove that TIN) F(a – p) O< Re

A:

Q: Prove each of the following by mathematical induction Ž:(2') = 2 + (n – 1)2t A) i=1 B) 2* 2 1+ k C)…

A:

Q: What is the general solution to the differential equation x = y + y³ cos x ? dx = -2x?(y* sin x +…

A:

Q: Find the Inverse Laplace Transform of F(s) (s+1) (s²– 1) A f(1) B 4 f(1) f (t) = 4

A: Some of the properties of Laplace…

Q: Find Integral. anhx dx

A: We have to find the integral ;  ∫(tanhx)dx

Q: 2s +3 Find the Inverse Laplace Transform of F (s) s2+4s + 13 A f(1) = e-"(cos31 – sin31) 2 (B) f(t)…

A:

Q: 3. Find the solution of the heat equation = 0 if the boundary conditions are = 0 %3D and the initial…

A:

Q: Find the Laplace transform of g(t) = 4cos(4t) - 9sin(42) + 2cos(10t) 9 A G(s) = s?+4 s²+16 s?+ 100…

A: To find Laplace transformation of  g(t) = 4cos(4t) - 9 sin(4t)+ 2cos(10t)

Q: In Exercises 5–8, let S be the collection of vectors y in R' that satisfy the given property. In…

A:

Q: The functionf:R->R defined by f(x)= (x2 + 1)35 for all xe R is A. One-One but not onto B. onto but…

A: check function is onto or one one

Q: Let be S = { (x, y, z) | x2 + y2 + z2 = 1, z ≥ 0, y ≥ 0 } oriented with the normal whose second…

A: In general surface, integrals are double integrals, which involve the integration over a specific…