orth0gonal trajectories y^2=4x^2(1-kx)

Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

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Q: /1+x-1 lim 1-0 V4 - a - v4- x2

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Q: If ö1 = (3, – 3) and v2 = (– 8, 8), then find 601 + 702. Type your answer in component form, (where...

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Q: 2 3 хе dx

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Q: Let f(x, y) = (x+(G))'. Determine the directional derivative of f at the point (1,0) in the directio...

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Q: sinh? 2x dx 3sinh? 2xdx

A: Given ∫-3 sinh3(2x) dx ⇒∫-3 sinh3(2x) dx⇒-3∫sinh3(2x) dx Now solving ∫sinh3(2x) dx substitute u=2x→d...

Q: d the exact value of each part labeled with a variable in the figure. =b fy your answers, including ...

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Q: Find the area of the surface obtained by rotating the curve y 5æ? about the y axis for 3 < x < 8 - N...

A: Given: y=5x2

Q: The distance, in feet, a moving object has traveled after t seconds is given by 3t/(4 + t). Find the...

A: We can find the required acceleration as below.

Q: The following is/ are true about the area bounded by y-8x & y=2x: O A. y= v 8x -2x O B. Only Horizon...

A: Here, the given region is bounded by the curves y2=8x, y=2x

Q: (-1)"n For positive integer n, let an = 3n (a) Determine whether the sequence {an} is convergent. 00...

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Q: Evaluate the following integral: x² (3 + 4x – dx

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Q: dy yo

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Q: written

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Q: how to solve cos(arcsin[3/5])

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Q: Evaluate the limit |t +5| lim t→ - (5) t + 5

A: we have limt→ -5-t+5t+5

Q: For the given vector function below, find the equation of the plane that contains the osculating cir...

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Q: 1) In Problems 1 through 4, given f(x) = 3× , g(x) = eX, h(x) = In x. Use Dr. Dai's Differential and...

A: Topic:- derivatives

Q: Compute the partial sums S3, S4, and S; for the series and then find its sum. Σ n+4 n + 5 (Use symbo...

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Q: x(x²-x+2) dx is equal to 3

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Q: find dw and w for the folloing function 5

A: Let's find. 

Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin ...

Q: y² cos x - 3x3y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e x² - 1) dy = ((1 + x)2 - ...

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Q: Evaluate the double integral // (3r - 7y)dA, where D is the domain bounded inside the tangle with ve...

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Q: Assume that a is an angle in standard position whose terminal side contains the point (5, 12). Find ...

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Q: Find the general parametric solution for the augmented matrix form. Identify the homogenous solution...

A: Solution: AX=b A=22341-3,     X=xyz,     b=03

Q: Let f(x, y) = (x² +(G))°. Determine the directional derivative of f at the point (1 0) in the direct...

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Q: Let f(x) = x2(squared) − 3x + 4 and g(x) = √x − 3. Find the following (a) f(0) (b) f(2) (c) g(12)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Using a calculator, complete the table and use it to estimate the indicate limit if it seems to exis...

A: Given: limx→-3 x+32-1-x=4

Q: (x+1)dy = (2xe* – xy – 2y)dx

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Q: Question 3 Transform the polar equation 6 to an equation in I and y. Submit Question

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Q: Set up the definite integral that gives the area of the region. Yı = (x – 7)3 Y2 = x – 7 dx J6 y 1.5...

A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

Q: Solve the differential equation: dy = (y2xex3-3x2y) dx Please also state which or the following wa...

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Q: find the differential equation of the family of plane curves described. draw at least 3 members of t...

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Q: 10. There is a jump discontinuity at x = 1 and lim f(x) = 1 x →1-

A: There is a jump discontinuous at x=1 and limx→1-f(x)=1

Q: dx xVxt-8

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Q: 16 Evaluate x1² (x4 – 2x² + 1)²dx. - 81

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Q: From a point A the angle of elevation of a mountain is 14.3 degrees, and from a point B, directly be...

A: From the given information, we have to find the height of the mountain.

Q: Calculate a and b such that v = au + bw if u = , w = and v = .

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Q: LU Factorization Method Example 2 Use Cholesky's LU factorization method to solve the system 16х, — ...

A: Given: Matrix is given

Q: 22) Find lim -5 e-2x+6 .given e =2.7 and e0 = 1. = %3D X 3 A) -13. 5 В) - 2.7 C) 0. 0 D) -5.0

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Q: In | lim x |

A: We can solve the limit as below 

Q: Find x' for x(t) defined implicitly by x* +t"x+t-3 =0 and then evaluate x' at the point (- 1,1). ......

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Q: 2) Find the symmetric equation of the line containing the point (1, 2, 1) and perpendicular to the p...

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Q: There are ​$320 available to fence in a rectangular garden. The fencing for the side of the garden f...

A: We need to find x and y.

Q: Give an example of a function f such that lim f(x) exists but f(0) does not exist. Give also, an exa...

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Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y ...

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Q: The formula for the volume of a right circular cylinder of radius r and height h is V = πr^2h. At th...

A: We will find that how fast is the height of the cylinder changing at this same instant?Below find th...

Q: Find the limit. x* – 1 - lim x→0+ In (x) +x – 1 п lim ( 1+ n

A: These question is based on Limits.

Q: ItcosX

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