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Q: Tangents PA and PB are drswn to x\power{2}+y\power{2}=a\power{2} from point…

A: Clearly the points O,A,P,and B are concycllic,and OP is the diameter of the circle.thus the equation…

Q: Consider the differential equation dy dx 1-y² (a) Does this differential equation have any singular…

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Q: Show that the initial-value problem dy 0 ≤ t ≤ 1, dt 1+t is well posed on D = {(t, y)], 0 ≤ t ≤ 1,-∞…

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Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

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Q: 1 Find the solution to the boundary Valve problem: d²y dy dt d+² Y(0) = 10, y (1)=5 -14 +45y=0

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Q: n Exercises 27–36, mark each statement True or False (T/F). Justify each answer 27. (T/F) A…

A: Remember : An equation of the form AX=0 is called homogeneous solution. where A is m*n matrix and X…

Q: Let f (x) be the function given below. f (x) = (2-bx2, x ≤2 3 + 2b -4bx, x > 2 Find all real numbers…

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Q: ). At what point on the graph y = x² − 2x + 1 is the slope of the tangent equal to −3? Explain,…

A: Answer given below.

Q: se the diagram of the cube. (a) How many squares are on the red side of the cube? x squares 9 (b)…

A: Answer given below.

Q: Which of the following is a subset of {1, 2, 3, 4, 5, 7, 8, 9, 10}? Note: There may be multiple…

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Q: Given A = x = -15 8 2 -5 -8 = 10, x= 4 1 2 n and b Solve the matrix equation Ax = b for x 2 -1 a a =…

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Q: 6 Round 8 15 to the nearest whole number.

A: Given, round 8615 to the nearest whole number.

Q: GRAPHICAL METHOD Determine the values of the variables using Graphical Method (Isoprofit…

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Q: Find the Fourier series for the function (x) = x - x², on the interval (- < x < π).

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Q: x(t-1) * 6[t+1] equals x(t+a) where a equals. Answer:

A: Given, x(t-1)* del(t+1) = x(t +a)

Q: Find the exact bound of the error in estimating using (a) Trapezoidal Rule, (b) Midpoint Rule and…

A: The given integral is  ∫14e3xdx We have to find error by using (a) Trapezoidal Rule, (b) Midpoint…

Q: A→B) ^ (CD) (-AVB) A (CD) A→B) A (BA) = (A →B) ΑΛΑ A -(A^B) -AV-B Choose... Choose.... Choose....…

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Q: 1. Evaluate the integral: x=5 TE =0 ry=√25-z² 5- arctan (2) dy dx = y=0

A: Let ,  I = arctan(y/x)dydx Applying integration by parts

Q: How do you calculate when the matrix is equal to 0 ?

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Q: 1. Sketch the following curves. (b) z-3+2², y--t. (c) 2-3cm, -3 sin 6. (d) z-2+3cm, y-sin-1. 2. Find…

A: To Sketch: The following curves: (a) x=2t2, y=4t (b) x=3+2t2, y=-4t (c) x=3cosθ, y=3sinθ (d)…

Q: Suppose $100 was deposited at the EOY 2011 into an account that earns 7% interest compounded…

A: Given , P = $100 r = 7% A = $220 Then A= P(1 + rt)

Q: Compute! (I bar sub y in mm4, round-off to 2 decimal places) for the region shown. y -30- 12.5 40-…

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Q: A sphere of radius 4 feet contains grain with a depth of 7 feet. The grain inside weighs 8 pounds…

A: The sphere is obtained by rotating the circle x2+y2=16 about y-axis Volume of the thin slice of the…

Q: 8. (sta) b s²+6² 10. e-sD 11. 9. s+a (s+a)²+6² where a and n are constants. where b is a constant.…

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Q: . You decide to start selling laser cut coasters. You spend $1500 on a laser cutter. Each coaster…

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Q: 2a In R^ show that : 2 as 211x11² + 211|4|1²³ = || Xx+y|11² + 11x-y₁1² ( This is known a the…

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Q: 22. :-29-23²-x²y + 16 z = 2Y

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Q: Let P = (4, 1, a), Q = (-2, 0, b) and v=i − 3j + 4k be two points and a vector in R³ respectively.…

A: The given points are 4,1,a and -2,0,b. The given vector is v=i-3j+4k in ℝ3.   The vector equation of…

Q: Prove that, for any sets A and B, it is true that A∪(A∩B) = A

A: We will do it by two different methods

Q: Problem 6. Let W = {(a1, a2, a3) € R³ a₁ = 3a2 and a3 = -a2}. Is W a subspace of R³ under the…

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Q: 18

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Q: Determine the positive root of the following equation using the fixed-point iteration method.…

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Q: Show that the function x5y f(x, y) = x 10+y5 does not have a limit at (0,0) by examining the…

A: Answer given below.

Q: the number (n) of bacteria in a colony after h hours is given by the formula n = re are 1200…

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Q: There is a matrix S that makes the following equation true: $9]-[3] Find a matrix S that satisfies…

A: Given that S03=-63. We have to find the matrix S that satisfies the given condition.

Q: EXERCISE 2.2 An automobile follows a circular road whose radius is 50 m. Let x and y respectively…

A: Given, v = 0.5 . s - 0.0025 . s2  r = 50m a = 0.6 g From kinematics acceleration can be defined by…

Q: (c) For the solution that satisfies y(0) = -1, sketch the solution curve and estimate the following:…

A: For part (c) the initial value y(0)=-1.

Q: a) Find the general solution to: y" +9y² = 0 Use cl and c2 in answer b) Find the particular solution…

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Q: ssible value of N. (7) (C) A student asks what the best way is to show if a number N is prime. What…

A: For the first case,           N = 143      =&gt; √N = √143 ≈ 12 [nearest integer]    So, we try to…

Q: Work done by the force F(x,y) = (5x + 4cos(y))i + (3y - 4xsin(y)) acting along the curve y=x4 for…

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Q: Show that 4 is in the linear span of -3 1 t1 E- = by finding t₁, t2, t2 such that 0 0-0-0-0 = = t₁…

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Q: EXERCISE 2.8 A helix is defined by x = cy, y = Lsin(ky), -Lcos(ky), where c, L, and k are constants.…

A: Answer :-

Q: Let A = {1, 3, 5, 7} and B = {2, 4, 6}. Which of the following statements is (are) true? OBX A =…

A: The given set is A=1, 3, 5, 7 and  B=2, 4, 6. We have to check which or the following statements is…

Q: Find the temperature distribution 7(x, y) and the complex potential F(z) in the given thin metal…

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Q: (?) = ? − ?^2, on the interval (−? < ? < ?).

A: kindly provide function whose fourier series need to be found.

Q: The number (in millions) of employees working in educational services in a particular country was…

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Q: An important concern in the study of heat transfer is to determine the steady-state temperature…

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Q: Find an equation E = 0 or inequality E‡0, where E' is an expression involving z and y, such that (x,…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given Data: Let us consider the given data, rt=cosπti-lntj+t-10k ; t0=11.

Q: wrong answer po. to din po mali 377630.21

A: To determine the moment of inertia about y axis.