You have a test coming up that will consist of five true-false questions and five multiple choice questions with 5 answers  each. How many possible ways can you answer the test if you answer "true" to exactly two true/false problems and you want to choose a different answer for each multiple choice question?

Q: (a) Use six rectangles to find estimates of each type for the area under the given graph of f, the…

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Q: Find the total value TV of the given income stream and also find its future value FV (at the end of…

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Q: 4. Let p, q, and r be the statements p: Grizzly bears have been seen in the area. q: Hiking is safe…

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Q: Series solution of variable-coefficient ODE Consider the variable coefficient linear second order…

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Q: a) There are thirty students in your class. If 17 are engineers and 21 are student athletes, how…

A: Since you have posted a multiple question according to guildlines I will solve first question(a) for…

Q: B. A firm manufactures 2 product, A and B. Each product is processed by machines, M₁ and M₂. Each…

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Q: 5. The GCF of any even number and any number divisible by 3 number is always 6. Falls

A: Let us consider the two numbers      a = 2      b = 3

Q: Let A = {2 € 0 m ² + 2 > 1}. (a) Sketch the set A in the complex plane. (b) Is z = -2i a boundary…

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Q: COMPLEX ANALYSIS Please answer all questions Let g(x, y) = y (a) Show that g is harmonic in D = {(x,…

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Q: Show that Z6 is isomorphic to U(7) by giving an isomorphism φ from Z6 to U(7).

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Q: Accumulate P180,000 for 5 years at 13% compounded semi-annually. (Note: accumulating an amount means…

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount,…

Q: 4:²+4 if zi Let f(2)= 8i if z = i (a) Calculate limf(z) using properties of limits. (b) Use the e-6…

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Q: Series solution of variable-coefficient ODE Consider the variable coefficient linear second order…

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Q: 2.f(t) = cosh wt sin wt

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Q: 6. (a) (b) (c) (d) (e) True/false. Give a one sentence justification. A singular 2 x 2 matrix can…

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Q: 12. Which of the following shapes is the missing section? LEDIE A B C D A ? BAGUIO CITY

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Q: 2. Mike deposited on March 12, 2020 at 10.5% simple interest. On September 8, 2020, the fund…

A: Solution

Q: Compute the eigenvalues of matrix A and its inverse -3 1 -1 4 2 A = [23] and A-¹ | If A has…

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Q: 23. C y 3z + 1 z(z - 2)² C dz x 0 Figure 5.46 Figure for Problem 23 N. 2 10

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Q: let (x,y,z) be Scalar Field and F a vector field.. $ Derive expression for D. (OF) and * (OF) in…

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Q: a) f: Q- Q defined by f(x) = |x| for all x € Q. b) g: C-M₂ (R) defined by g (a + bi) = a b -b a h:…

A: This is a problem of ring theory.

Q: Solve the differential equation: * (D² - D-2)y= = COS X Your answer

A: The given differential equation, D2-D-2y=cos x....(1) is a non-homogeneous differential equation…

Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. Jell 2. f(t) = cosh wt sin wt

A: The function cosh(ωt) can be rewritten as eωt+e-ωt2. Thus, ft=cosh(ωt)sin(ωt) can be rewritten as…

Q: Hib/ solve by picard nothod (up to third approximation) ly = x + y² y (0)=0 Find y (0-1)! aus // 1₂…

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Q: EAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If…

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Q: 9. A coffee company wants to determine the daily production levels of its three different blends of…

A: To represent the portions of regular, medium and dark used in the blends I, II and III in decimals,

Q: Jse table of values to graph this one g(x) = -2(x + 1)³-1

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Q: -2π 1.²* esin(ne) cos(- cos(nº))de = 0 0

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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 generated by revolving the region bounded by the below equations…

Q: A cylindrical can, open at the top, is to hold 700 cm³ of liquid. Find the height, h, and the…

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Q: 11. Integrate G(x, y, z)=x√y² + 4 over the surface cut from the parabolic cylinder y² + 4z = 16 by…

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Q: 10. Let (G, *) be a group, and let H≤ G. Define N(H) = {x € G: x¹ *H* x = H} [Normalizer of H in G].…

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Q: Solve the following equations: a) d²y dy dx² - 3 = 9, when x = 0, y = 0, dx dy 3 b) 2 d²y - dx² dx -…

A: Use the given differential equations.

Q: letT: R³ R³ be the linear operator defined by T(X₁ X2 X3) = (X₁-X2, X2-X₁) X₁ X3) - a Find the…

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Q: 4. If A is a nonsingular nxn matrix, show that AA¹ is nonsingular and det(AA) > 0.

A: Given A is a nonsingular matrix.

Q: (1, 0, 1) (0, 0, 0) (1, 0, 0) (1, 1, 1) (a) Find a piecewise smooth parametrization of the path C…

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Q: Question 19. A circular area of 1²0 is swept out as a rod of fixed length r = 1 m pivots about a…

A: The rate of change of area with respect to the time can be calculated by differentiating the area…

Q: In Problems 1-7, determine whether each statement is true or false. If it is true, explanation or…

A: To determine whether the below statement is true or false. Statement: If a is a natural number and…

Q: (D4-1)y=0

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Q: (c) For an orthonormal sequence {u} in a Hilbert space H, prove the equivalence of the conditions…

A: Given: un is orthonormal sequence in a Hilbert space H. (i) x⊥un for all n implies x=0. (ii) x=∑x,…

Q: Consider the statements about the surface of equation: n²y z = y² sin x + and the point P (1, 2) in…

A: Directional derivative of a function f(x,y,) in the direction of unit vector  u^ Dux,y=∇f.u^…

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Q: 6 The vectors v₁ = -6 and V₂ = 4 orthonormal basis for W. 9 2 13 2 3 form an orthogonal basis for W.…

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Q: 5. Solve the following problem using a Venn diagram: Consider the following data among 110 students…

A: Let A and B be two sets then Venn diagram  The set of students in  A or B means…

Q: 3 X W Compute ww, x.w, and using the vectors w = - 1 W W -5 w.w= (Simplify your answer. Type an…

A: We know that ℝn is the vector space consisting of n tuples over the field ℝ. In particular, for n=3,…

Q: Let p, f, and g be polynomials over the field F. Suppose that p is a prime polynomial and that p…

A: Given  F is field  Let p(x), f(x), g(x) be polynomial over the field F in an indeterminate x Suppose…

Q: Suppose A and B are both countably infinite sets. Show that the union of A and B is also countably…

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Q: Let f be a real-valued function continuous at the point a = (a1, a2) in R². Keep a2 fixe and define…

A: Let f be a real-valued function continuous at the point a=(a1,a2). Define g as g(x)=f(x,a2), where…

Q: 7) F(s)= 1 s² + s/2 Ans. f(1)=2-2 e 1/2

A: We have to find the inverse Laplace transform of the function F(s)=1s2+s2 .

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. 34 49

A: First we will find out the eigenvalues and associated eigenvectors of the given matrix. Then using…