А R B C

Q: Assume that a particle’s position on the x-axis is given byx = 3 cos t + 4 sin t,where x is measured...

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Q: Find the indefinite integral. (Use C for the constant of integration.) Original Integral      Re...

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

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Q: Tilted disks Let S be the disk enclosed by the curveC: r(t) = ⟨cos φ cos t, sin t, sin φ cos t⟩ , fo...

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Q: show your work step by step and, Verify the identities.

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

Q: In the picture

A: Given:    

Q: Use Part 1 of the Fundamental Theorem of Calculus tofind the derivative of the function.

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Q: In the picture

A: Consider the limit

Q: Evaluate the integral ∫x√x+1dx.

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Q: Explain how to solve x2 + 6x + 8 = 0 using factoring and the zero-product principle.

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Q: A particle moves along the x-axis with velocity dx/dt = ƒ(x). Show that the particle’s acceleration ...

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Q: Calculus Question

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Q: Find the value of Z that make the function continuous at x = 4?

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Q: Show your work step by step and, Find all solutions of the equation in the interval [0, 2π). cos(2x)...

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: (a) Find the critical numbers of f. (Enter your answers as a comma- separated list.) X = (b) Find th...

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Q: If ω'(t) is the rate of growth of a child in pounds per year,what does  ∫510 ω'(t)  dt   represent?

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Q: Find two positive numbers whose sum is 12 so that the product of the square of one and 4th power of ...

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Q: Given a cone with a slant height l (Figure 3a). Find the largest possible volume of the cone.

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Q: The graph of y = x' is called a semicubical parabola and is shown in the accompanying figure. Determ...

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Q: A right circular cylinder is inscribed in a cone with height hand base radius r . Find the largest p...

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Q: Find the equation of y, given the derivative and the indicated point on the curve. y = dy - 2(x - 1)...

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

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Q: Evaluate the integral using the following values. r5 '5 x³ dx = 136, x dx = 8, dx = 2 (7 + 5x – 2x3)...

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Q: The temperature in degrees Celsius on the surface of a metal plate is T(x, y) = 40 − 6x2 − y2 where ...

A: Given:

Q: Find two positive numbers that satisfy the given requirements. The second number is the reciprocal o...

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Q: Show that the curve y =  √ (4x2 +9) has two slant asymptotes: y = 2xand y =-2x . Use this fact to he...

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Q: Suppose you decide to walk from point A to point B. The point A is in the forest where you can walk ...

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Q: Which of the following is the complete set of numbers for which the function f(x) = 3x3 - 6x2 is con...

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Q: find the value of ( ƒ ∘ g)' at the given value of x. ƒ(u) = u + 1/cos2 u, u = g(x) = πx, x = 1/4

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Q: Find Differentials Function y = √x        Derivative dy/dx = 1/(2√x)             Differential y = dx...

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Q: Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be mod...

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Q: Explain why a potential function for a conservative vector field is determined up to an additive con...

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Q: A force of 200 N will stretch a garage door spring 0.8 m beyond its unstressed length. How far will ...

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Q: Find the domain and the range of the relation shown in the given graph. Also, determine whether the ...

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Q: Determine local extremum f(x,g) = xy(4-x-). %3D

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Q: 1 Find lim x0 x by completing the table below (round values to 6 decimal places): 1 1 10 50 100

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Q: Determine whether  the statement is true or false. If the statement is false, make the necessary cha...

A: The given statement is false.  

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) = 2...

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Q: show your work step by step and, Find all solutions of the equation in the interval [0, 2π).

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Q: find ds/dt. s = 1 + csc t/1 - csc t

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Q: A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is 3...

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Q: Using the Fundamental Theorem for line integrals Verifythat the Fundamental Theorem for line integra...

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Q: The total number of arrests T (in thousands) for all males ages 14 to 27 in 2006 is approximated by ...

A: Consider the graph passing through T = 225.

Q: Evaluate the integral.

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Q: Find the Maclaurin series for cos2x.

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Q: Decompose x2−6x / (x−1)(x2+2x+2) using the partial fractions.

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Q: find integral sin 5 x  cos 2  x dx

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Q: dy if y + x+2ry = 2+ x and (x, y) # (2,-2). dr 12 Determine an equation for

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Q: Find the tangent line to the Witch of Agnesi (graphed here) at the point (2, 1). 8 y = x + 4 (2, 1) ...

A: y = 8 / (x2 + 4) point (x1, y1) = (2, 1)    equation of the tangent line: (y - y1)= m(x - x1)

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.