If y= Vx (x-1), find dy (Use rules, not a XP de finition

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: Graph the function f(x) = x+4/x Graph the secant line that passes through the points (1,5) and (8,8....

A: To graph the function fx=x+4x.To graph the secant line that passes through the points 1, 5 and 8, 8....

Q: бх + 7 (x+2)°

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Q: Activity 1. Solve for what is asked. Expresses your answer in simplest form. 1. Find : dx x = 8

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Q: How can i solve this excersice? Hind: It could be, using Taylor. Vat (7a(=)) ×. 1 f(2) nh

A: This is a problem of taylor series calculation. Based on the general formula we will solve the quest...

Q: 4. What is the equation of the normal line to the curve 4x2 – 9y2 = 1 at point (3,2) ? a. y =x- 4 5....

A: Slope of the Normal Line to the graph of f(x) is  -1f'(x). Equation of the line : y-y1=mx-x1 where, ...

Q: Determine the homogeneity of the following function x^3-xy+y^3

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Q: Find the indefinite integral. (Remember the constant of integration.) (0.9t2 + 0.08t + 9) dt

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

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Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 15t – 1. (Give your answer as...

A: Slope of tangent line

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: topic - vectors

Q: The boundary of a lamina consists of the semicircles y = V1 - x2 and y = V25 - x2 together with the ...

A: We have to find center of maas of the lamina. 

Q: Evaluate each of the following: 1. ſ cot 2v dv

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: A data set has n items. The sum of the items is 800 and the mean is 20. (a) Find n. The standard dev...

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Q: x'(2 - x)? dx

A: Let,I=∫ x32-x212dxSubstitute  u=2-x2Differentiate du=-2xdxAnd x2=2-udu-2=x.dxI=∫ x32-x212dxI=∫ x22-x...

Q: We now use the substitution u = x° + 8x and du = (9x8 + 8) dx to convert the entire integral into on...

A: Given the integral  ∫9x8 + 8x9 + 8x2 dx We now use the substitution  u=x9+8x and du=9x8+8 dx.

Q: dx x2 +4x +5

A: Use inverse trigonometry function formula.

Q: A net enclosure for practising golf shots is open at one end, as shown. Find the dimensions that 3) ...

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Q: 4. D, (x-2)(2x +3) 5. D, (e")

A: We know that, Dx(ex) =ex Dx(xn) =nxn-1

Q: 4. Determination of Integrating Factors: Solve the equation y (4x + y) dx – 2 (x² - y) dy = 0 O 2r? ...

A: Given

Q: (y² – xy) dx – x²dy = 0 Ix-

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Q: 3.Determination of Integrating Factors : Solve the equation (x² + y² + 1) dx + x (x – 2y) dy = 0 O x...

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Q: 1. Зх е* dx In x dx 2 2.

A: To evaluate the following integrals.1 ∫3x e-x dx2 ∫ln xx2 dx  

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: For solving all above parts we have to use concept of unit vector.

Q: 13.Exact equations: Solve: (2r3 + 3y) dx + (3x + y – 1) dy = 0 O x* + 6xy + y² – 2y = c O r?y² + y* ...

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Q: S(1 – cos 0) csc²0 d0

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

A: We have to solve above question 

Q: а Let, u = and v = -2 where a <0. a 2 1 Which one of the following must be true about the angle 0 be...

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Q: Find a set of parametric equations for the line passing through the point (4, 0, 7) that is parallel...

A: topic - equation of a line

Q: What is the derivative of the following? 1. 3x^2 2. -1/2x^2

A: Topic = Derivative 

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z? (5, ...

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Q: 6. (6x°-4x² +1)*

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 1 - x + + 3y + z = 7 2 Find the normal vec...

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Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

A: Let's find. 

Q: The Fumetion flo) t kiniten as Paylor series abour x =0 4s deiwmine ihe series Lolos and mirite ouf ...

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Q: 4. find the absolute max. and min. of the function f Plate boun ded by = x? +y2 on the closed triang...

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Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about r = xo and then find the nth Taylo...

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Q: 2r dr (1 - r)"

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Q: {(u)= (u² -3)*

A: Given the function is  f(u) = 12u2-32. We have to find f'(u).

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: I am attaching image so that you understand each and every step.

Q: 2. Integrating factor by inspection: Solve the equation: (y – xy²) dx + (x + x?y²) dy = 0 O = In y –...

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Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (6x-y)^12 ax^4y^8

A: The given binomial 6x-y12

Q: 7.) f (x)> (3x+2)(5x-2)

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Q: Solve the seperable differential equation for. dy 1+ x ;x > 0 xy5 dx Use the following initial condi...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

Q: Solve the following: a) [4/(x+ 1)] – [2 / (2x – 1) b) (1/y)+(1/2y)+ (2/3y) c) (2a²b³/3z²)÷ (ab²/2z) ...

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Q: Let f(x) = x and compute the Riemann sum of f over the interval [2,3], using the following number of...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (5...

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Q: n 1.3.5. ...· (2n – 1) 5nn! n=1

A: