Compote the volume of a reoion inside the Sphere x" +Y? +z² =4 ond between two sheets of the hyperboloid. z?-Cx?+y?) = 1.

Q: 5. Let A and B be n-by-n matrices. Each of the following statements is equivalent to two of the…

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Q: The solution of the differential equation (x + 1)+o + 1) = 0 is A y=2+x B. y= C. y = x(x- 1) D. y =…

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Q: Consider the following. y = x? y 20 x 25 20 15 10 5- -10 5. 10 15 20 (a) Find the area of the region…

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Q: Show Langrange's Remainder Formula for n = 0 is the Mean Value Theorem.

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Q: Will give good feedback if answered within the day. The task is to evaluate the given function below…

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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…

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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: Evaluate the line integral g. xy? dx + 2x²y dy, where C is the triangle with vertices (0,0), (2, 2),…

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Q: а?у" - Згу' + 4у %3D 0, у(1) — 5, у'(1) — 3. || ||

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Q: Let T be a linear transformation from R2 into R2 such that T(1, 0) = (1, 1) and T(0, 1) = (-1, 1).…

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Q: Find the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix [3 1 1…

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Q: Let T be a linear transformation from M, , such that M2,2 into 1 0 1 -1 0 1 0 2 0 0 1 2 0 0 -1 = 3 1…

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

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Q: Find the Laplace Transform of f(t) = (t² – 3)² O 9s4-125-24 O 9s*+12²+24 O 9s4-12s+24 O 9s4-12,+24

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Q: Explain two ways a graph could be misleading.

A: Misleading graph: Any graph that distracts the reader from fully understanding.

Q: Find the Laplace transform of 0, 0, t < 4 f(t) = l12 – 8t + 22, t24 -

A: Laplace transferom of pice wise function

Q: 7. Let A be a 32-by-48 real matrix. Which of the following matrices is always symmetric (a) A+ A (b)…

A: As a matrix A is said to be symmetric if At = 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: Use variation of parameters to find a general solution to the differential equation given th ty" -…

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Q: What quantity of 80 per cent acid solution must be mixed with a 20 per cent solution to produce 480…

A: Note: 80% acid solution means there is 80 ml acid out of 100 ml of the solution.

Q: Find the volume of the indicated region. the region bounded by the cylinder x2 + y2 = 49 and the…

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Q: Twisted. Suppose we are given a figure consisting of two twisted strings that are connected by…

A: It ensures that the fibers are coherent and that the yarn is strong enough. Twist is also added to…

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

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Q: Consider the sequence an = cos (n*). a. Determine the value of the following limit lim b. What can…

A: Use L'Hopital rule to find limit of ln(n)/n. And I used the necessary condition of series to…

Q: Let F be the set of all functions of the form f : N {0, 1}. Also, let G be the set of all functions…

A: We have to find all possible options that are correct for the given question.

Q: A 2. Which graph is the solution to the following system of inequalities? -y > (x – 1)² - 36 49 y>…

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Q: Find the inverse Laplace transform of -6s e F(s) = s2 + 2s – 3 - - (Use for u.(t) .)

A: Invesre Laplace transferom of function

Q: Reduce the matrix -1 2 -2 2 A = 3 0 3 -1 3 21 to reduced row-echelon form.

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Q: F= - xyi + 9yj + k is the velocitiy field of a fluid flowing through a region in space. Find the…

A: Given- F = -xyi + 9yj + k is the velocity field of a fluid flowing through a region in space. To…

Q: Describe the conditions that guide when it is appropriate to use the Sine Law, the Cosine Law, the…

A: Given data condtions  for using the sine rule,    the cosine rule  ,the sum of the interior Angle…

Q: 3.) (x* – x² + 6)°(8x³ + 4x)dx Note: You are not allowed to use The Method of…

A: We have to find the value of ∫x4-x2+658x3+4xdx

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

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Q: Find the roots of the follo 1 flo)

A: 3. Given the polynomial equation is                                   x3+3x2−6x−8=0

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: 1. Evaluate the Riemann sum for /(x) - – I, -6 5 xr 4, with five subintervals, taking the sample…

A: We have to find Riemann sum for given function.

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)…

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Q: Q1.8 (h) Can you find an edge whose removal will make the graph acyclic (i.e., no cycles)? Yes No…

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Q: Which of the following is NOT a correct way to express the vector v = (2,-4) %3D a) 2î - 4 where î =…

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Q: Exercise 5.1.3. Decide whether each of the following claims are true or false. For each false claim,…

A: As per Portal rule i am answering first three parts. 1. Consider the given statement, Q×,·≤ℝ,+ it…

Q: (2х? + у)dx + (x?у — х)dy %3D 0

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Q: Evaluate the line integral (5x + 8y)dx + (3x – 5y)dy along the - curve C : x = 10 cos t, y = 20 sin…

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Q: Use a local linear approximation of the function f(z) = VI cos[(V2r)] at some approximate v3.98…

A: To use local linear approximation of the below function to approximate 3.98cos7.963π. fx=xcos2x3π

Q: Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the…

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Q: A. y' = 29 В. у' C. y' = 2x y D. y' = 2y %3D 2x OA O NONE OF THE GIVEN CHOICES | 2. A differential…

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Q: $55. The original markup was 46% based on selling price. Find the final sale price (in $) after the…

A: Given, The wholesale price of a birdcage is $ 55.The markup of 46% on selling price that has been…

Q: Which of the following is a CONTRADICTION? Clue: Construct a truth table

A: Contradiction:        "A compound proposition that is always false is called a contradiction."

Q: WHAT IS THE LAPLACE TRANSFORM OF THIS? -3(1-cosh 377t) t.

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Q: Evaluate 2dy/dt + y = 0, y(0) = -3 Select the correct response: O y = 3 e^(t/2) O y = 3 e^(-t/2)…

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Q: The determinant of a given matrix is unchanged if you interchange any two rows once and any two…

A: Let A  be any n×n matrix. Determinant is a scalar value which is associated to matrix A. Determinant…