Let f: A → B and g:B → C then the condition (gof) (D) = f(g(D)) holds if a) DCB b) DCA c) DCC d) Both (a) and (c) are correct

Q: For each of the following angles, convert to the other angle measure. 4π 3 Write answers exactly…

A: The conversion of angles from theta to radian and radian to theta are as followed…

Q: Integrate the function f(x, y, z) = (x2 + y2 + z2)4 over the part of the solid cone y2 + z2 ≤ x2…

A:

Q: Question 3 of 8 View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is…

A:

Q: e the following constrained optimization problem using the method of Lagrange multipliers: max (x³ +…

A:

Q: Let C₁ be the ellipse + = 1 traced counterclockwise and C₂ be the paral- 9 4 lelogram with vertices…

A: Given, The ellipse x29+y24=1F→(x.y) = 1-y, x+ey2

Q: b B 490 9 a Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

A: Let us consider a triangle ABC right angle at B Sum of angle of triangle is 180° Properties of…

Q: Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (4V₂ - V₁₁ 4v₁ + 5V₂),…

A: Let us consider a transformation T:R3→R2 defined as T(v)=w Here T(v) is the image of v v is the…

Q: One of the eigenvalues of Matrix A is 2. If we add to Matrix A a diagonal matrix with diagonal

A:

Q: Use Stoke's Theorem to evaluate · F · dĩ where F = (xz, xy, 3xz) where C is the boundary of the…

A: Using the Stoke's theorem we have to evaluate  ∮F.→dr→ where F→=xz,xy,3xz=xzi+xyj+3xzk such that the…

Q: Question - and V let Let "M" be an R-Module A, B are sub-Modules of M², then prove that the Quotient…

A: Given : M be an R-Module and A and B are submodules of M. To prove :  AA∩B ≅ A+BB

Q: 64. The Perimeter of an Ellipse: P = 2 = 2√2 The perimeter of an ellipse can be approximated the…

A: Note: As company policy, we solve first question only. Please resubmit those questions in case you…

Q: vation organization releases 35 Florida panthers into a game preserve. After 4 years, there are 204…

A: According to guidelines we solve three subparts of a question.

Q: nts] "Prove" (using graphs if necessary) whether the set {(x, y): x = 0 or y=0} < R² is: a closed…

A:

Q: 3. For the following quadrics identify the type of the conic section find the coordinates of a focus…

A:

Q: DEFINITION 7.1.1 Laplace Transform Consider the following function. f(t) L{f(t)} 1 Use Definition…

A:

Q: 28. Consider the initial value problem y+y=1-t, y(0) = yo. Find the value of yo for which the…

A: Consider the initial value problem y'+43y=1-14t, y0=y0   To Find: The value of y0 for which the…

Q: 4. Let S be the triangular region in R3 with vertices at (2,0,0), (0,6,0), and (0, 0, 3) with upward…

A:

Q: Consider the curve C = C₁ UC₂, where C₁ is the line segment from (0, 1, 1) to (1,1,0) and C₂ is the…

A: The given curve is C=C1∪C2, where C1 is the line segment from 0,1,1 to 1,1,0 and C2 is the curve…

Q: Show that the set of all polynomials with integer coefficients is denumerable

A: Given : set of polynomial with integer coefficient  To Show : set of polynomial with integer…

Q: Describe the graph of the equation. r = 5 costi - 19 sin rj+k O An ellipse in the planex = 1, center…

A: The graph of the given equation is ; r = 5 cost i - 19 sint j + k We have to choose the correct…

Q: Produce an example of an element of Co (R, R) which is not an element of the following vector…

A: Correct answer is f(x)= Sin(x) which is infinitely many times continuously differentiable but it is…

Q: Consider the function D: P₂ → P2 given by D(ax² + bx + c) = 2ax + b. (a) Why did I call this…

A: It is given that,  D : P2 → P2  defined by  D(ax2+bx+c) = 2ax+b Then, we have to answer the…

Q: Fill in the blank. (Enter your answer in terms of t.) 1 est L?s? + n?n =

A:

Q: The figure to the right shows the letter L in a rectangular coordinate system. The figure can be…

A: We need to addition operation of matrix to move L .

Q: Let o be the 0= permutation 1 2 3 4 5 5 14 9 10 2 12 6 5 11 15 3 a) b) defined by: 6 7 6789 10 11 12…

A: Firstly change sigma in disjoint cycles and use the property to change cycle to transpositions.…

Q: VIII. Evaluate the following definite integrals. (a) ₁²√³-5da

A:

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A:

Q: . Consider the partial differential equation u₁(x, t) = KUxx(x, t) + au(x, t), where a is a…

A:

Q: Let f(x,y,z) = g(√√x² - 4y² +₂²)√√x² +16₂² +₂², + 16y² + z², where g is some nonnegative function of…

A:

Q: Q2: Find The Fourier cosine and transform of the following functions: SSint, ostse (1) f(t) = 10₂…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the values of a, if any, for which all solutions of the differential equation y" − (2a −…

A: From the given equation we have to solve the value of alfa. Also find the value of alfa as t tends…

Q: Find an integrating factor and solve the given equation. (12x + 3) + (4²+¹2) = 0 12y dy dx

A:

Q: Determine the determinant and inverse of the matrix. A = 3 8 8 -7 -1 –4 -1 -4 5

A:

Q: Find the G.S. about xo = 0 for: (x² + 4)y" + xy = x + 2

A:

Q: 3.45. The density (d) of a liquid is calculated by measuring its depth (c) in a calibrated…

A: Given Data: The density of the liquid is given by the expression   To find: The maximum possible…

Q: Find the eigenvalues of the given matrix. Enter your answers from smallest eigenvalue to the largest…

A:

Q: 5. Determine whether or not matrix A shown below is orthogonal and justify your answer. 1 0 A = 0 1…

A:

Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 5 of…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find the flux of the curl of the vector field F(x, y, z) = [(z2 −4) cos(xyz), 3x+y,(z2 −4) sin(ex…

A: Surface is oriented outwards. And -2 &lt;= z &lt;= 2

Q: Determine the vector field of F. F(x, y) = 8i - 4j

A: We have to determine the vector field of F(x,y)= 8i -4j

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

A: L{t^n}=(n!)/(s^(n+1) ).

Q: (a) x' = (x - y)(x − 3) y' = x(y + 2)

A:

Q: Solve the given differential equation. All solutions should be found. x5 - 4y X dy dx NOTE: Use c…

A:

Q: The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then…

A: The rate at which a body cools also depends on its exposed surface area S. If S is a constant, then…

Q: A a 5x5 real matrix & v₁,..., v5 linearly independent real vectors in 5 dimensional space: Av₁ = 4v₁…

A:

Q: Let T: R³ → R³ be a linear transformation such that T(1, 0, 0) = (4, −1, 2), T(0, 1, 0) = (1, 3,…

A:

Q: Use the row operations method to find the inverse of the given matrix, or show that no inverse…

A: The given matrix is                          A=   1 2   4 1-1 0   2 1   2 1-4 0   1 1   2 1 We have…

Q: 3 Compute eta for A = 3 3 4 1 2 1 -1 -3 -2

A: Given: A=334121-1-3-2 We have to find etA

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A:

Q: Consider the matrix A = 1 0 0 0 a) Diagonalize the matrix A in the form A = SAST, with S an…

A: Solution: