Given the following function. -1

Q: x2 y2 = 1 are 25 The foci of the ellipse with given equation 36 (5, 6) and (-5, 6) (0, - V11) and…

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Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

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Q: A cone is placed over a sphere so that the sphere is tangent to the side of the cone and also…

A: Given that, A cone is placed over a sphere so that the sphere is tangent to the side of the cone and…

Q: inimum and maximum values, and sad

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Q: To find a particular solution for y"-36y = 44 sin(21) %3! with the method of variation of…

A: The given problem is to find the conditions required for the differential equation to find the…

Q: 1. In the Diffie-Hellman key exchange protocol, Alice and Bob choose a large prime p and a primitive…

A: Solution:   Since g is a primitive root for prime p.Then g is a generation of the multiplicative…

Q: Tyra will be setting up a stall during the school fair where she plans to sell cupcakes and donuts.…

A: Relative maximum  A  function f(x,y)f has a relative maximum at the point (a,b) if  f(x,y)≤f(a,b)…

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: Given,            C=100+e-EPF Here,   C = Consumer Price Index   E = Gross Domestic Regional…

Q: Find the root using the method indicated. [f(x) <0.0001  f(x) = x² + 2x²+x-1, (0, 1)…

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Q: b. Give examples square matrix, diagonal matrix and scalar matrix. c. Solve the following equation…

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Q: 1 (x, y) = (1, –1) f(x, y) = x2 + Y (æ, y) + (1, –1) x + y is not continuous at (1, –1). [b]

A: Given :    f(x, y) = 1 ,(x, y) = (1, -1)x2+yx+y ,(x, y) ≠ (1, -1) To show :   f is not continuous at…

Q: So 220 is the last number in this DPS chain. The DPS chain can be written as 381357 252 232 220. It…

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Q: f (t) = 3e " cosh (In 2r)

A: This is a problem of Laplace Transform.

Q: 25 and 26

A: Since sum of all angles is 360    angle(P)+angle(Q)+angle(R)+angle(S)=360     80+x+2x+70 =360…

Q: Let z1 and z2 denote complex numbers. Show that (z, z2)= z,72 defines an inner product, which yields…

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Q: Solve by the Laplace transform, showing the details and graphing the solution: 1. y" + 4y' + 5y =…

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Q: 2. Find the maximal interval of existence and uniqueness of the solutions to y = eV1--, y(0) = 0…

A: Given equation: y'=e1-t2-y2 with condition y(0)=0   To find: Maximal interval of existence and…

Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: Approximate f(3) centered at 0 of f(x) = 2x³ + 3x² + x - 1. %3D

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Q: solue for one eigenvector d) Write the eigenvector as a sum of 2 vectors (e red parttcmeginery part)…

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Q: Romberg integration for approximating f(x) dx gives R21 = 6 and R22 = 6.78 then %3D R11 = a) 2.66 b)…

A: Solution :-

Q: Q2: Find the general solution of the system i = 3x – y ý = 2.x,

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Q: Let X be the vector space of all or Can we obtain the norm defined on from an inner product?

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Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: C. Solve as indicated. 1. How many terms are there in an arithmetic sequence where a, = 12, a, = 60…

A: We have to find the number of terms in the arithmetic sequence where a1=12, an=60 and d=8

Q: Prove that in any bi-right quadrilateral DABDC, ZC> ZD if PROBLEMS and only if BD> AC. (Assume ZA…

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Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…

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Q: 1. What is the ninth term of a harmonic sequence if the first three terms are 111 2'6'10 2. Find the…

A: This is the problem of counting and series and finite math.

Q: 2 - 2 13) Ans. 3,-2; 6, 2; 9, | -2 0 7 |2 62

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Q: 10. The organizers of an essay competition decide that a winner in the competition gets a prize of…

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Q: Consider the following sets. A = (3, 6, 9, 12, 15, 18} B = (4, 8, 12, 16} C= (3, 6, 9, 12} D = (1,…

A: We are given the A ,B ,C, D ,E ,F set  Where  A={ 3,6 ,9,12,15,18} B={4,8,12,16} C={3,6,9,12}…

Q: 9. If o = F(x, z) dy + G(x, y)dz is a (differentiable) 1- form on R', what can F and G be so that…

A: GIven, ω=F(x,z)dy+G(x,y)dz ⇒dω=∂F∂xdx∧dy+∂G∂xdx∧dz+∂G∂y-∂F∂zdy∧dz Required dω=zdx∧dy+y dx∧dz on…

Q: ( 2sinx sin(2x) dx

A: Given,        ∫2sin2xsin(2x)dx

Q: Exercis Solution of Equations having Const Solve the following equations 4. (D² + 1)y = 36

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Q: I. Draw a contour map of z = Vx2 + (y – 2)2 using k = 0, 1, 2, 3, 4, then sketch its graph in R³.…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 5. Let L:R -R be the linear transformation defined by x-y x+y 2x Let S be the natural basis for R?…

A: The given linear transformation is Lxy=x-yx+y2x. LetS'=12,01be a basis for ℝ2. And Let…

Q: In substituting the point (4,1,2) in the partial derivatives, why does the terms without x and y…

A: In part (2), we have the following: ∂g∂x4,1,2=-π1 sin4π -14-1 ln3log332 Now, sin4π=0 So,…

Q: 36 Calculate the area of cross section using numerical techniques for a rive 200 m wide. if the…

A: calculate the area of cross section using numerical technique for a river 200m wide. if the depth d…

Q: Let A be a n × n matrix with real entries and let A1 = a + bi (where a and b are real and b# 0) be…

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Q: Given that f (x, y) = sin Enter a 10 significant figure approximation to the partial derivative a10…

A: When the partial differentiation is done with respect to a specific variable, then all other…

Q: Closure: 1. Write an equation that can be used to model the graph shown below: 10 Tee

A: We have a circle. The center is -6,0 and the radius is r=6 This can be seen as:

Q: The directrix of the parabola x? – 4 y = 0 is y =- 5 y = 0 Option 1 Option 2 y = 1 y =- 1 Option 3…

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Q: dz dz and an Draw a dependency diagram and write a chain rule formula for given the functions below.…

A: We will use the concept of chain rule of differentiation of Multivariable function and formation of…

Q: / y = = V3y = 1 y = 1-1 (z – 2)² + y² = 4 -4 cos e (a) r dr de sin 8+cos e 4 cose (b) r dr do sin +…

A: To find the double integral in polar coordinates that gives the area of the shaded region in the…

Q: The function Ax) is given in the following tabulated form. Compute [Ax)dx with h- 0.25 and 1. with…

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Q: dy dz y - zx yZ + X x2 + y?

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Q: 1. Solve for x(t) and y(t), given that x(0)=D4 and y(0)=3 dx dy + x + 4y = 10; a dt dt x(t) 2+2e cos…

A: Solution :-

Q: 32. y" + 4y = 8(1 - T) - 81 - 27). y(0) = 1. y'(0) = 0 33. y" + 3y' + 2y = 2u(1 – 2). y(0) = 0.…

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Q: How far trom the y-axis is the center of the curve 2x? + 2y? + 10x - 6y - 55 = 0? O 2.50 O 2.75 O…

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