J x √16x² zdx

Q: A trough full of oil of specific weight w lb/ft3, has a length of 10 ft and ends in the form of a…

A: Specific Weight = w lbft3Length of trough = 10 ft,Width = 8ft,Height = 5 ft

Q: 67. Let f(x)=√x³ +1. o fº√x² S a. Find a Midpoint Rule approximation to b. Calculate f "(x). x³ + 1…

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Q: Question 5 of 5 Solve the compound ineq -4x<=-28

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Q: Find a plane containing the point (-2,-1,3) and the line of intersection of the planes -5x + 5y-7z =…

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Q: (a) Find all the x-values of the critical points and inflection points of the function f(x) = x¹ −…

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Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A: Given : r(t)=5t2,4t2   To Find : 1) Velocity 2) Acceleration

Q: 11. ¹ y+4 dy y²+y 2 12. fx²e-x dx

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Q: Use a linear approximation to estimate the following quantity: tan 3° What is the value found using…

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Q: Strength of a Beam A wooden beam has a rectangular cross section of height h in. and width w in.…

A: We use optimisation techniques using differentiation to find the required dimensions. The answer is…

Q: 5) Differentiate f(x) = √3x² + 4x.

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Q: line to the graph of y = g(x) at x = 4 is 4x+12y = -56 It follows that y = is the equation of the…

A: Given that at x=4, 4x+12y=-56 is a tangent.

Q: Find the exponential function f(x) = Ca* whose graph is given. f(x) = y (1,10) (3,250) X

A: Given query is to find the function.

Q: Determine the directional derivative of the function f(x, y) = -5y³ r - 1 at the point (x, y) = (2,…

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Q: ind the complex zeros of the quadratic function. Graph the function. f(x)=10x²+2x+1 Simplify your…

A: Given query is to find the complex zeros and the graph of the function.

Q: Find [5 50e0.03x dx

A: I=∫50e0.03xdx∫eaxdx=eaxa+c

Q: Determine the number that should be added to complete the square of the expression. Then factor the…

A: given  x2+16x

Q: Given an acceleration vector, initial velocity (uo,vo), and initial position (xo.Yo), find the…

A: Here we have to find the velocity vector.

Q: x(t) Find the point at which the line y(t) z(t) = = -4-3t -8-5t intersects the xy plane. 4 - 6t

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Q: sinh(4ln(4x))

A: Given query is to simplify the expression.

Q: Solve, (dr + 256x)

A: To solve the following integral problem

Q: Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise.…

A: Green's Theorem: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA And use the equation of the line when it passes through…

Q: hoice as needed.

A:

Q: The graph of y = f(x) (solid) and y = g(z) (dashed) is shown -6 -5 4 -3 -2 f(x) lim 2+1 9(2) 6-8 0…

A: solution: Given graph,

Q: 1 x4 dx Apply basic rules of expa ******

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Q: 16 Find the critical points of the function h (x) = x + and classify them as either local maxima or…

A: h(x)=x+16xfor critical points put h'(x)=0d dx(xn)=nxn-1if h''(x)&lt;0, than maximumif h''(x)&gt;0,…

Q: The solution of the differential equation subject to the initial conditions y(0) = 0 and y'(0) y(x)…

A:

Q: her manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container…

A: solution: Given data, Measure of top and bottom =x by 3x Top and bottom cost = $2.20 per square…

Q: Find the formula for a cubic polynomial, ax³ + bx² + cx + d, with a critical point at x = 2, an…

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Q: Find a possible formula for the graph of a function G(x) above: G(x) =

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Q: Find 3 4 [² 6² ² 2 2 x + y dydx.

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Q: Find the inflection points of f (x) = x² + x³ = 30x²2 +9. Enter the exact answers in increasing…

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Q: Use the first derivative to find all critical points and use the second derivative to find all…

A: The given function is: y=fx=2x3+3x2-72x+4

Q: Find the limit of the sequence: 01 DNE e (-1)") In n

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Q: Racetrack Design The accompanying figure depicts a racetrack with ends that are semicircular in…

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Q: An object oscillates up and down on the end of a spring, with acceleration (in m/s²) given by the…

A: Here we have to find the velocity and distance function.

Q: Optimal Chapter-Flight Fare If exactly 188 people sign up for a charter flight, Leisure World Travel…

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Q: Find all the real zeros of the polynomial P(x)=x²-x³-3x²+x+2 List the real zeros below. If there is…

A: Solution: Given Polynomial, P(x)=x⁴ -x³ -3x² +x+2

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 6. y = x2 (-2,4) УА О (1,6) (2,4) 3y=2x + 16 y=-2x+8 X

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Q: I'm confused on how you got 1.905 in the numerator

A: Pi = 3.14    The rate of volume of gravel dumped is: dv/dt = 10 In circular cone relation between…

Q: Let P(x)= 2x3-5x2-4x+3.  a) List all possible rational zeros of P.  b) Find the complete…

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Q: On what intervals is the function f(x)=x2-9x8 both decreasing and concave up? interval(s) = Cine…

A: Given :fx=x9-9x8

Q: Give a rule of the piecewise-defined function. Give the domain and the range. What is the rule?…

A: Please see the below picture for detailed solution.

Q: 01) Let v(t) = 36-6t - 6t² be the velocity function of an object in rectilinear motion for t≥ 0.…

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Q: Find the particular antiderivative F(x) of f(x) = x². - Answer x3 that satisfies F(1) = 9.

A: Given: fx=x9-1x3 , F(1) = 9 To find : Antiderivative of f(x) In calculus, the antiderivative of a…

Q: Find the complex zeros of the quadratic function. Graph the function and label the intercepts.…

A: Given equation:- fx=x2-12x+52

Q: The graph of y = f(x) (solid) and y = g(x) (dashed) is shown -6 -5 4 -3 f(x) lim 2-1 9(2) -∞ 00 8…

A: The given graph is:

Q: 8. u² du -3

A: L=∫-2u2duwe know ∫xndx=xn+1n+1+c

Q: Suppose you have a cache of radium, which has a half-life of approximately 1590 years. How long…

A: Given: Half-life of radium = 1590 years To find: Time taken to disappear 1/6 of the radium. Formula…

Q: an you explain the "reversing the order of intergration" step in detail?

A: