3. The base of a region is the unit circle. Cross sections perpendicular to the base are squares. What is the volume of this region?

Q: AE: GS: PS: m²³_6m² +9m =0 m(m² -com +9)=0 m (m-3)² = 0 M=O (M= 3) (2x) 3x y = a + c₂₂e²³² +₂e² Dy =…

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Q: Where is Hwy 30 supposed to be? It is perpendicular to Bird Pond Road and Main St.

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Q: Describe the possible echelon forms of the standard matrix for a linear transformation T where T: R4…

A: Answer)  Possible echelon forms are :A, F, G, I

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Q: Solve for the relative min value at x of h(x) 19x 3x²+81

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Q: which simplifies to w w √2p12p2 IV w-P3 w - P3 2p1 2p2 P3 ≥ √P1P2. 1 2²

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Q: Problem 2. In this problem, we will practice a bit with numerical integration. We take the following…

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Q: Find the counterexample to show that the following conjecture is false. (x + Y)^2 = x^2 + y^2  is…

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Q: 11 Part 3 of 3 Required information NOTE: This is a multi-part question. Once an answer is…

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Q: 6 + 5 4 3 f(x) 2 1 2 -1 f(2) + g(3) f(2) g(1) - ma -3 4 LO 5 X 6 VENDED 8 g(x) 0 1 2 g(1) - f(0)…

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Q: Suppose that a software company produces CDs (computer disks) at a cost of $2 each, and fixed costs…

A: Solution :-

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Q: By setting one variable constant, find a plane that intersects the graph of z = the followings: a)…

A: We have to find the plane that intersects the graph  z=6x2-y2-7  in each of following.

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Q: Consider the following functions. f(x) = x + 9 g(x) = 2x - 1 Use the functions to find (g. f)-¹. (g.…

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Q: Prove that √2 +1 is irrational

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Q: Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each…

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Q: 2. Consider the functions f(x) g(x): - = 3x2 when x -10 −6 when x = -6' 3x² + 16x 12 x+6 9-x and…

A: The given functions are  f(x)=3x2+16x-12x+6, g(x)=3x-2when x≠-6-10when x=-6, h(x)=3x-2. (A) To…

Q: (b) coth (In(6)) Need Help? Submit Answer X Read It

A: Ln6 =1.7917.

Q: For the following exercises, consider the scenario: The profit of a company decreased steadily over…

A: Straight line equation is y=a+bx.The normal equations are∑y=an+b∑x∑xy=a∑x+b∑x2The values are…

Q: 6. A square-based pyramid has a height of 9cm. The volume of the pyramid is 1089 cm³. Determine the…

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Q: A projectile is fired vertically upward and can be modeled by the function h(t)=-1612 + 7001 + 275.…

A: Given      h(t)=-16t2+700t+275 You want to solve the quadratic h(t)=-16t2+700t+275&gt;3000   First,…

Q: |₁vbd = (₁ + d) v (b← d)

A: Here we use the logical equivalence laws to answer the question as follows.

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Q: t dw 4. (i) For t> 0, find the general solutions of +w-t, where p≥ 1 is a constant. 2 dt (ii) For x,…

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Q: Determine the interval of convergence and the radius of convergence of the power series x2n E n=2 n…

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Q: 2. Set up (but do not evaluate) a triple integral for the volume of the solid that lies inside both…

A: We will use cylindrical system to find volume of solid  x=r cosθ , y=r sinθ , z=zHere r is distance…

Q: Determine the particular solution of the ODE below, where p and q are constants. [-]]]+[%][KO]-[] 2…

A: I'1I'2=2231I1I2+Et0, I'10I'20=pq The system of differential equation is of the form…

Q: For ony a n) * [ f(x</dx a 3rd degree polymorial, f(x) = ₂x3 +d₂x²+ d dix tdo. f(x) = √²/17 €¯x²/2…

A: Given : for any a&lt;b, any f : a, b→ℝ, and any n≥1,                 RIGHTf,…

Q: b) tan² + tan 0-2=0 0≤0<2π

A: (b) The given equation is tan2θ+tanθ-2=0 Substitute tanθ=x. x2+x-2=0 Using the discrimant formula,…

Q: int) Approximate cos(4.6) using a quadratic approximation: First note that cos(4.6) cos(3x/2). Let…

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Q: Given f(x) = x² - x - 6 for values of x = [0, 6], a. Write an equation of the line tangent to fat x…

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Q: Let T be the linear transformation whose standard matrix is given. Decide if T is a one-to-one…

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Q: Show a derivation of the following sequent using our sequent calculus: 1. (P₁ V P2) SCP2 Show using…

A: 1 .Given, ¬(p1 Vp2)  Therefore , ¬p2 Now, ¬(p1 Vp2) = ¬p1 ∧ ¬p2 So, ¬p2 Hence, ¬(p1 Vp2) -| ¬p2

Q: 2. Recall that determinant is a function from the set of 2 x 2 matrices over R to the set of real…

A: Given: A mapping from a set of 2×2 matrices over R to the set of a real number. Define : det :abcd…

Q: #/2 cos x Reverse the order of integration for f(x,y) dy dx. 00 Given x2y²-2 and x ≤y. Find ffydA R

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Q: .

A: Given: A=1111 To solve parts (a) , (b) and (c)

Q: (3x - 1)" n Consider the power series a) Show that the resulting series when r = 0 is conditionally…

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Q: Let V be a vector space with dim(V) = n. Consider V₁, V2, ..., um € V. Which of the following is/are…

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Q: 3. Show that if A is nonsingular, then det A-¹ 1 det A

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Q: Solve for the relative min value at x of h(x) = x³ + 7x² + 2x + 99

A: This is the application of derivatives. Find critical point.

Q: (a)If n2 is an even positive integer then n is an even positive integer. Use a proof by…

A: If n2 is an even positive integer then n is an even positive integer. If n2 is a multiple of three…

Q: A 30-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: Find the Taylor series representation with center 4 of the function f(x) = x-¹/² using the…

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