Which of the following values of angles is a solution to the following equation: (√3 tanz-3) (80 (8 cos x + 8) = 0 330⁰ 60° 90° 360°

Q: Solve the equation using Laplace transform y" - 6y' +9y t²e³t, y(0) = 2, y'(0) = 6. =

A: Introduction: There are many different ways that are applied to solve an initial value problem. One…

Q: What is the arc length if the central angle is 225 degrees, and the radius of the circle is 3 cm?…

A: Solution :-

Q: 3. Suppose that the density at each point in a lamina D = {(x, y) € R²|- a ≤x≤a,-√a²-x² ≤ y ≤…

A: Given below clear explanation

Q: ! Let D the region bounded below by the cone z = √3x² + 3y2 and above by the paraboloid z = 4-x² -…

A: The given problem is to find the z limits for the integration to find the volume of the solid D…

Q: 42 1. (Volumes of Solids with Known Cross-Sections). Sketch the solid bounded by the surfaces 2²…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Part 3 of 6 Note that N ds = VG(x, y, z) dA, and recall that VG(x, y, z)= = 2 2 (curl F). N dS =…

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Q: Suppose the function f(x) = 9x2 − 2x + 6 describes a physical situation that makes sense only for…

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Q: Let A = {4, 5, 10, 21, 24). List the ordered pairs in the relation R = {(a, b) E AXA: alb). (Recall…

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Q: Determine all vectors v that are orthogonal to u. (Set v₁ u = (6, 1, 0) V = Need Help? Read It Watch…

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Q: Under Plane Areas. A Use two methods to find the area bounded by y 1-x ye-1, y = 2e - 1 and the y…

A: Note:-  Circular Disk Method and Cylindrical shell method are used to find the volume. For volume…

Q: III. Find a set of parametric equations for the curve of intersection of the cylinder (x − 1)² +…

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Q: 7) Three different vectors in R2 that have a norm equal to 5 are:

A: In the given question we have to find three different vectors in ℝ2 that have norm equal to 5.

Q: 49. A man wishes to prepare the future of his ten-year old son. Determine the monthly savings that…

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Q: la + (-1) b + (-1) c + 4d + 7e 2a + (-1) b + 0c + 5d +9e et T(a + bx + cx² + dx³ + ex¹) = -7a+ 4b+1c…

A: Remember. Orthogonal Complement of column space of A is equal to Null space of A transpose or…

Q: II. Consider the points P(1, 0, 3) and Q(5, 2, -1) and the line 1: x = -7- 2t y = t z = 9+t 1. Find…

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Q: (a) (b) (c) (d) (e) (f) 10 [¹0 FO 75 25 [²5F(X) 450 f(x) dx 25 -75 *35 f(x) dx [ 10 f(x) dx (X 35…

A: Given is a graph of a function f(x)   To Find: (a) ∫010fx dx (b) ∫025fx dx (c) ∫2535fx dx

Q: 17 c. Find the general solution of the D.E. 2 y" +4y'-8y = 8×-4e²* +4

A: We solve given DE by using method of undetermined coefficient.

Q: Find the location of the center of mass of the 2 dimensional planar lamina whose shape is the…

A: The center of mass of a rectangular lamina of length l and breadth b is given by; (xcom,ycom)=l2,b2…

Q: Where is the volume graph of this one?

A: As you are having difficulty to understand the process . So for better understanding we will use…

Q: Determine £¹{F}. s²-2s-12 (s+3)² (s+6) Click here to view the table of Laplace transforms. Click…

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Q: 1) Let T = la + 1b+5c+(-1)d -la+0b+ (-4) c+3d 7a+ 4b +32c +(-13) d 7a+ 4b +32c +(-13) d -la+(-2) b+…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find ||u||, |v||, and ||u + v||. u = (-1, 1, -2, 0), v = (4, 1, 0, 1) (a) ||u|| (b) ||v|| (c) ||u +…

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Q: • tan a = 2√√6, a € [0, π] 3 cos 3 = 5' Find the numerical value of the following: and sin 3 <0 1)…

A: We will use trigonometric identity . While using values of trigonometric ratio we need to take plus…

Q: sin(2x) Computedx.

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Q: roo sin(2) Compute (4) dx. fo x(x²+4)

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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Q: Given the following functions, evaluate each of the following: ƒ(x) = x² − 13x + 42 g(x) = x − 7 (ƒ…

A: I have given the answer in the next step. Hope you understand that

Q: Identify any holes in the graph of the following function f(x): f(x) 7+x 7x+49 O none of the above…

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Q: This question examines your understanding of sequences and convergence. Please tick all correct…

A: In the above problem, the definition of a convergence of a sequence in R, then is generalized to…

Q: 13. List the Taylor series centered at x=0 (that is, the Macluarin series) for each of the following…

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Q: Let f: M₂ (R) i. ii. iii. M₂(R) be defined by f (A) = A - AT. Show that f is a linear operator Find…

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Q: Determine £¹{F}. F(s) = 11s³ - 10s² - 7s+ 14 3 s (S-2) Click here to view the table of Laplace…

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Q: Use an appropriate test method to determine whether each of the following series is convergent or…

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Q: V. Let C' be the curve represented by Ŕ(t) = (cos 2t, 2√√3t, 5 — sin 2t). ㅠ 1. Determine the…

A: Hint:  The formula to obtain the curvature is κ=∥T'(t)∥∥r'(t)∥, where T(t)=r'(t)∥r'(t)∥.

Q: 2. In Euclidean geometry with standard inner product in R³, determine all vectors v that are…

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Q: A museum opens with a collection of 250 items. During the first week after the opening, an…

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Q: An equation of the sphere (x-1)² + y² + (z-2)² = 5 in spherical coordinates 18:

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: -2πT Compute fo 1 1+cos² @de.

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Q: 23. Which of the rational functions below has a hole? A. B. C. 2 D. 11. C. -12 D. -6. 24. Let f(x) =…

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Q: 6 F(s) = ((28 + 3)² + 2)² + e7 S3

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Q: 2) 3y"-4y' = 0, with y(0) = 2, y' (0) = -8

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Q: A function z=f(x, y) is defined implicitly by the equation xy2 - x²z+yz² -z = 11 near point (2, -2,…

A: Given function is fx, y, z = xy2-x2z+yz2-z-11

Q: You deposit $100 each month into an account earning 2% interest compounded monthly. a) How much will…

A: The details solution is given below

Q: Express the system of differential equations in matrix notation. x' = (e ¹)x+ (at + bt³)y y' = (tan…

A: The given system of equations is ,           x' = (et)x + (at+bt3)y             y' = (tan t)x + (…

Q: (a) Let f(x)=√√2x+1. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

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Q: For the matrix 2 1 2 1 2 +40 A = 2 1 2 1 0 find the characteristic polynomial, the minimal…

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Q: Q2:al Use separation of variables to find the solution of the following Initial Vale Write your…

A: dydx=20yx4 with y0=4

Q: 2x 3. Find the constant a so that (x) = xe²x is a solution to y' + ay - e²x 4 3 O 1 O -1 -2 = 0.

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Q: Sketch the graph of the conic r = 15 3-2 cos 0

A: To sketch the graph of the conic r=153-2 cos θ   Also, find the directrix and focus and original…