Consider the following function on the given interval. f(t) = t√t, [-1,7] Find the derivative of the function. f'(t) = Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t = Find the absolute maximum and absolute minimum values of f on the given interval. absolute minimum value absolute maximum value Need Help? Read It Submit Answer Watch It

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A: According to bartleby guidelines we can answer only three subparts.

Q: 1. Find the anti derivative of: 3x² + 4x + 12

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A: The surface area of the plane is given by:   S=∫x1x2∫y1y21+∂z∂x2+∂z∂y2dydx   From the given…

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A: according to bartleby guide line we do only first part of multiple questions.   let  C=lim…

Q: 2. 7 fi (3x-2)3 a dx (The answer is 35/32; show your work)

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Q: X²+2 Suppose that fcx) = 35+23+2 d Find & Simplify : f(g(x)). & gcx) = √x+5

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Q: Find the particular solution for:

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Q: a. Find the open intervals on which the function is increasing and those on which it is decreasing.…

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Q: -4 f(x) dx = 1 लेखा 3 -2 -1 - f(x) dx = 2 f(x) (a) Use the figure above to find the value of the…

A: Solving the following subparts

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A: The Answer is in step2.

Q: Evaluate the integral: sec² x dx. tan x

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Q: Evaluate the iterated integral by converting to polar coordinates. 6*6*²= 0 T x² + y² dy dx dr de =

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Q: use the parameter to write eah rectngular equation as a pair of parametric equation   y= -x^2/4 +…

A: use the parameter to write eah rectngular equation as a pair of parametric equation

Q: Evaluate the integral: x√1-x² dx.

A: let    M=∫01x1-x2dxwe know  (i) ∫xndx=xn+1n+1+c(ii) d dx(xn)=nxn-1

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A: A function,

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A: To determine the intersection (if any) of the following planes. π1: 3x+2y-z+6=0π2: 6x+6y-2z+6=0π3:…

Q: use the parameter to write eah rectngular equation as a pair of parametric equation   y= x^2/4 +…

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Q: -6 -4 (-3, 3) x=2 y-y² y 6 x = y²-4 y -2 -4 -6 X i

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Q: 7. aluate the double integral. W x² + 1² CC = {(x, y) | 0≤x≤ 4,0 ≤ y ≤ √x} 21.

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A: log4x+1+log3=log11x+12from properties of lof function (i)  loga.b=loga+logb(ii) if  logx=logy, than…

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Q: Find the limit. 2x²+6y² +4 lim (x, y) -(0,0) 2x2 - 62 +7 01 O -1 No limit

A: The answer is in step2.

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Q: Find the curvature of  r(t) =   7t, t2, t3    at the point  (7, 1, 1). ? =

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Q: Solve the logarithmic equation. log (15-x) = 0.5

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Q: the following exercises, use the graph of the function = f(x) shown here to find the values, if…

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Q: Find the area of the surface. The part of the plane 4x + 4y + z = 16 that lies inside the cylinder…

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