Q1. Find the curvature of the line whose parametric equations are given as: x = -2 +1, y =3+ 21, z =-t+4

Q: Integrals Evaluate the following integrals. Include absolute values only when needed.

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Q: Density distribution A right circular cylinder with height 8 cm and radius 2 cm is filled with water...

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Q: Integration review Evaluate the following integrals.

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Q: x = g(t) , y = h(t) , z = f(x, y) , g(3) = 2 , g'(3) = 5 , h(3) = 7 , h'(3) = -4 , fr(2,7) = 6 , fy(...

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Q: The function f(x) =2/x is one-to-one. For the function,a. Find an equation for f -1(x), the inverse ...

A: Given function

Q: Evaluate integral the 6x ..d. (x²+4)(2x-2)

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Q: Determine the period and amplitude of each function. y = −3 sin 4x

A: Now comparing with

Q: Find the set of solutions to the inequality (x 2 - 4)(x 2 - 1) < 0 by plotting a graph.

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Q: Determine whether the following equation are separable. If so, solve the initial value problem.

A: Given Data The derivative function is y’(t)=y+3/5t+6. The initial value is y(2)=0.   Arrange the der...

Q: What is the y-coordinate of any point in the xz-plane?

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Q: can you help me pls

A: (a)  

Q: Describe completely the Development and application of complex number in Engineering.

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Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the f...

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Q: Evaluate each expression without a calculator. a. log10 1000  b. log2 16  c. log10 0.01  d. ln e3  e...

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Q: Find the x-intercepts, correct to four decimal places, of the graph of the function g(x) = 4tan2 x -...

A: g(x) = 4tan2 x - 8tan x + 3 We need to find the x-intercept  

Q: x²- 25 (a) lim x+5 x- 125 x²-25 (b) lim x00 x-125 x²-25 (c) lim x+-5 x -125

A: We need to evaluate the following:  

Q: Calculus Question

A: Since you have asked multiple questions in a single request we would be answering only the first thr...

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.)

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Q: Match the graphs A, B, and C shown with the functions ƒ(x), ƒ'(x), and integral

A: Given : The graphs of f(x) , f '(x) and Anti derivative of f(x)  

Q: use th eproduct rule or the quotient rule to find the derivative of f(x)=(x^2+x-8)/x^2-8

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Q: Find the line through (1,-1,1)and normal to the line  3x=2y=z , and parallel to the plance  x+y-z=0 ...

A: Equation of the line: The equation of a line passing through the point (x0, y0, z0) is given by (x, ...

Q: Find the limit of the following sequence or determine that the sequence diverges. {5(-1.01)n}

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Q: integration by parts to establish the reductionformula. ∫(ln x)n dx = x (ln x)n - n ∫ (ln x)n-1 dx

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Q: In Example 2 of Section 3.1 we found that y1(t) = e−2t and y2(t) = e−3t are solutions of the differe...

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Q: Please answer only #5 without excel but with integrals. Thank you.

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Q: Use the method of Simpson's Rule to estimate the integral below. Be sure to show your function value...

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Q: Describe the type of indeterminate form (if any) that is obtained by direct substitution. (a) Evalua...

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Q: use th eproduct rule or quotent rule to find the derivative f(t)=6t^4cos(t)

A: Given data:     The given function is: f(t)=6t4cos(t).     The expression for the production rule fo...

Q: Parallel, intersecting, or skew lines Determine whether the following pairs of lines are parallel, i...

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Q: A family of arc length integrals Find the length of the curver(t) = ⟨tm, tm, t3m/2⟩, for 0 ≤ a ≤ t ≤...

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Q: Multiply or Divide : (6x + 2) / (x2 - 1) ÷ (3x2 + x) / (x - 1)

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Q: can you help me pls

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Q: What is the definition of a vector potential?

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Q: Using the limit definition of derivative, compute the derivative of the following function. No credi...

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Q: Find anti deriva tive Fa) of the function, an foal- fxl = 5 sinx such that Flo) = 8+ cosX

A: Now,

Q: SpheresFind the center C and the radius a for the spheres in Exercises 51–60.

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st ques...

Q: Explain the error inthe equation Then rewrite the right side of the equation to correct the error th...

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Q: Q6) Compute the averoge value of the function, flx) = (7x²+ 3x + 5.3)e* on the interval [3,7]. %3D

A: Average Function Value: The average value of a function f(x) over the interval [a, b] s given by, T...

Q: Verify the identity: sin(α - β)/sin α cos β = 1 - cot α tan β

A: We know; sin (A- B) = sinA.cosB + cosA.sinB To show:    sin(α - β)/sin α cos β = 1 - cot α tan β