2 Find the transformed equation of the hyperbola xy = 4 when rotated 45. (x')² - (y')² = 8 (x')²(y')² = 4 (x')² - (y')² = 4

Q: Given two vectors u and v that form an angle of 60° (when joined tail to tail) and given that | V| =…

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Q: Find the sum A+B+C of the constants A,B and C appearing in the Taylor series expansion given below:…

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Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.

Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: R(x)=0.005x3+0.02x2+0.4x(a)daily…

Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

Q: Vx-5 1) Evaluate lim 10. x25 X-25 Show every step.

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Q: 3-A coin is tossed 3 times the probability that all 3 tosses are tail equal a) b); c); d) 9.

A: Our Aim is to calculate the probability of flipping a coin three times andgettiing 3 tails.

Q: 00 n³n² COS 5n³ +3, 1

A: See the answer below

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

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Q: 2. Use the Laplace transform to solve the initial value problem y" + 4y' + 5y = 2, y(0) = -2, y'(0)…

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Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

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Q: gence for n! n=0

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Q: Find two positive numbers satisfying the given requirements. The product is 1200 and the sum of the…

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Q: Find y ' if xº = y* .

A: Given problem:- xy =yx  To find:- y'

Q: Graph the function and find its average value over the given interval. f(x) = x + 2 on [0,2]

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Q: Find the points on the graph of the function that are closest to the given point. Rx) - х2, (0, 7)…

A: A detailed solution is given below.

Q: 4- The number of element in the sample space when you flip 3 coins together c) 6 d) 12

A: We can solve this as follows:

Q: 10) Find T4(x), the degree 4 taylor polynomial of the function for f(x) = cos(5x) centred at c = 2n…

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Q: Select all of the following tables which represent y as a function of x. y -2 -1 -2 -5 -1 2 1 2 1 1…

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Q: Given: re + In(x - y) xe*? Find dy/dx. 2ry(z=y)+z* 1+(z=v}(2»² +1)e| dy dr 2r(z-y)-z1z…

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. + dx -2

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Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

Q: A ball is thrown vertically upward from the top of the house 110 ft high with an initial velocity of…

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Q: Find the equation of a parabola that has focus at (-4,0) and directrix 2

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Let f(x) = 1, for all x E (0,1). Is f continuous on (0, 1)? Is f uniformly continuous on (0, 1)?…

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Q: For the curve with parametric equations x = 4 sin (t) – 1 y= 2 cos (1) + 3 dy find the point dx at…

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Q: 1. Consider the curve C with parametric equations Sx(t) = t3 – 3t +1 lu(t) = t(t +1) defined for t e…

A: Given information:  xt = t3-3t+1yt = tt+1               , where t∈ℝ.…

Q: Let й -, й- where A and Bare some constants. Given that ü+ 50 = find the value of the product A.B.…

A: A. B=48

Q: Show that whether x5 + 10x3 + x + 1 is O(x4) or not?

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Q: 9) Determine whether the series is absolutely convergent, conditionally (-1)"n convergent or…

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Q: Find dy/dx: 1. у %3D Vu du

A: Given: y=∫0t4udu

Q: .3

A: Given: v={ √2,3√2}

Q: 16. بين ما اذا كانت تقع النقطة N على المستقيم AB ام خارجه N=( 2,1.5,3 ), B ( 0,1,2), A ( 4,2,4)…

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Q: 3 The triple integral L (x + 2y – z)dxdydz is equal to

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Q: In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of…

A: Given problem:- In a trend that scientists attribute, at least in part, to global warming, a certain…

Q: B: .A card is drawn from a well shuffled pack of (iv) a card of diamond (v) a king or a queen

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Q: dr

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Q: Let C be the parametric curve defined by x(t) = t2 – 2, y(t) = t³ – 3t + 1. Determine if C is…

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Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

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Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: consider a function f (x) vihose derivative f"(x) is continuous as shown belowr. Graph of f'(x), NOT…

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Q: 37. Evaluate JJ(x +y)dA over the region R, as shown below.

A: Follow the procedure given below.

Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: If the function is continious at x c, then the right limit at x= c is equal to f(c). Select one: O…

A: To verify if the given statement is true or false.

Q: Find dy/dx: solution in handwritten 1. y = , Vu du

A: Note:- Here limit of integral 0 to t4  then in your question we need to find dy/dt instead of dy/dx…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given region is bounded by y=21-2x and y=20

Q: Use power series to show that sinh(z) + cosh(x)= e".

A: