Find thlength of the curve.  Y=1/6(x^2+4)^3/2, 0

Q: 1 dy rVx²-9/ -3 dx exVe2x_9,

A: ∫1xx2-9dx  

Q: Define function rules f(x) = 2 Vx-1 by using the limit rule f'Cx) lim f(xth) - FCx) %3D

A: Topic:- calculus

Q: Consider the following differential equation. y"-y'-30y 0 Verify that the functions .-5x and 6x form...

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Q: (0–4)de 2. (6+5)

A: Given that: ∫(θ-4)(θ+5)2dθ

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Q: Question 15 Find the standard equation of the parabola with focus at (0, – 21) and directrix y = 21....

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Q: 1. y 10 – 2x6 dx

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Q: If f' (2) = -5 and g'(2) = 3, find %3D (a) h'(2), if h(x) = 12f(x) + 4. %3D h' (2) = (b) F'(2), if F...

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Q: Prove that the line x +1 = 글(-6) - lies in the plane 3x + y – 2 = 3.

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Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 2 8 is log,...

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Q: Suppose the sales tax rate of Pagadian City is 7% of the purchase price. If the price of the digital...

A: Topic:- parsentage   

Q: A scientist places 2222 mg of bacteria in a culture for an experiment and he finds that the mass of ...

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Q: Setup the integral that will give the area of the surface generated by revolving the curve f(1) = ov...

A: Follow the procedure given below.

Q: Kay. Based on where Paolo landed, police accident investigators would like to know how fast the car ...

A: Let f be a function  of any variable say t be the variable.  Let f(t) be a function of variable t an...

Q: 2. Complete the following tables of values f(x) -1 -0.8 -0.35 -0.1 -0.09 -0.0003 -0.000001

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Q: Determine the general solution for the given higher order differential equation. dz (D² + 16)³(D² + ...

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Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: To find the points which is not in the domain secx

Q: x²+2 dx x+2

A: We can solve the integral as below.

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - The contour...

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Q: mber of these fish reached 90 thousand in the year whole number.)

A: Given: The number of a particular fish in thousand x years after 1974 can be modeled by f(x) = 223(0...

Q: f(x) = 3 x6 e-4 x* with respect to x. f '(x) = 18x^5 e Submit Answer Incorrect. Tries 1/8 Previous T...

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Q: S Vx2 – 8x + 25 dx

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Q: on - Homogenous: To be considered Homogenous, the differential equation must be equal to ependent va...

A: We are asked to find the  non homogeneous second order euqation.

Q: %3D cosx cotx sin x CSCX

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Q: What is the equation of the parabola with horizontal axis, vertex (-2,1), and passes through the poi...

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Q: Let r(t)=(t+1)i+((t^2)−1/(t−1))j+sin⁡(−2πt)k. Then limt→1r(t)=

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Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5 ...

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Q: dx Evaluate – 12x - 12x dx 12x - 12x

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Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

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Q: 7/3 tan'x secºx dx 30.

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: operty. -7(4y - 9) - 7(4y - 9) = (Simplify your answer.)

A: SOLUTION-

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

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Q: Find a parametrization of the circle of radius 8 in the xy-plane, centered at (1,−4), oriented count...

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Q: 14х10+8 еx F (x : 4 x' + 13

A: Given: fx=14x10+8ex4x+13

Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: Obtain the Maclaurin series expansion (up to 6 terms) and compact form of the function: f(x) = 2sinh...

A: Given: f(x)=2sinhx

Q: Describe how the graph of the following function can be obtained from one of the basic graphs. g(x) ...

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Q: (+e*)dx e* -In () 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: Find the parametric equations for the tangent line to the curve x=t^2−1,y=t^4+1,z=t^4 at the point (...

A: Given: x=t2-1, y=t4+1, z=t4 Point 8, 82, 81, is for t=3 as you can see substituting it in the three ...

Q: Find the smallest value of k e N for which the area under the graph of f(x) = x* + x between x = 0 a...

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Q: 6et-8) _6 if 0 8

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Q: Q2: z = cos3xsin4y+2x²y az az azz a²z a2z Find : дх' ду' дх ду 'дхду

A: Given  z=cos3x sin4y+2x2y Differentiating partially with respect to x and y , we get ∂z∂x=(-3sin 3x)...

Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2= (a+b)(a...

Q: raph of a function is given. y hich x in the range shown is the function increasing? For which x is ...

A: Given query is to find the interval of value of x where function is increasing and decreasing.

Q: Find the limit, if it exists. Remember to use proper limit notation. Зx2+4х-1 lim х-2 х2-2х 16+x-4 b...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative a...

A: Given function is   f(x) = 7x + 1 To find the equation of the tangent at x=9. Now at x= 9 , f(x) = 7...

Q: 3sin4t dt 2. 5(1- 3cos21)

A: We have to find integral

Q: For h(t)=-6t+7, determine h-1 (4). Show all steps pf your calculation please

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: Approximate 4   2 1 ln(x) dx using the midpoint rule with four subdivisions to four decimal places

A: Given: a = 2  b = 4   n = 4  f(x) = 1/ln(x)