Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or 2t ²+25 increasing decreasing g(t) =

Q: are you able to graph this? thank you!

A: graph of z=16-x2-y2  is given below

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Q: Solve the boundary-value y(x) = problem. y" + 18y' + 81y = 0 y(0) = 0 y(1) = 8

A: given  y''+18y'+81y=0given  y(0)=0y(1)=8

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A: B=∫02(6ti-t3j+2t3k)dt∫tndt=tn+1n+1+c

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A: The given function is:f(x)=x3-12x2-27x+3

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Q: Sketch the region that corresponds to the given inequalities. 2x + 4y = 4 2x - 4y s 4 20 -10 O -5 y…

A: The given inequalities are:2x+4y≥42x-4y≤4x≥0

Q: 1 Evaluate the ・20 @ following Integrals do B I 0 (3+2600)

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: A cable runs along the wall from C to P at a cost of ​$4 per​ meter, and straight from P to M at a…

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A: We have to find the maximum value of f and values of x,y.

Q: 1. The diagram shown AFB and BEC are equilateral triangles and AGDC is a rectangle. Write the…

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Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. y" + gy…

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Q: The cost C, of a product, is a function of the quantity x, of the product: C(x) = x²- 4000x + 50.…

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

Q: The Fourier Series of f(x)= x) = { O FINEO NEM 0, πT-X, −π<x<0 0<x< π over (-π, π) is converges at x…

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Q: The graph of y=f(-x+1)-2 is drawn below: a) 0 c) Sketch a graph of y=f(x) b) Is the inverse, y =…

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Q: Learning Target DA6: I can set up and use derivatives to solve applied optimization problems. A…

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Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: Here we  find the average acceleration form the above given table.

Q: ver Find the slope of the tangent to the curve f(x) = X- - () at x = 0.

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 5xy - 4y², P (2,10), A=…

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Q: Consider the equation of the line, c(c² + 2)y= c - x where c> 0 is a constant.

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Q: A rectangular swimming pool is to be built with an area of 3200 square feet. The owner wants 5-foot…

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Q: Find the general solution to the non-homogeneous differential equation. y" - 3y' = sin(4x) y(x) =

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Q: A video store manager observes that the number of videos sold seems to vary inversely as the price…

A: A video store manager observes that the number of videos sold seems to vary inversely as the price…

Q: Consider the function f(t) = 4 sec²(t) — 8t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 2. Find the directional derivative of p(x, y, z) = x²y z + 4 x z² at the point (1, -2, -1) in the…

A: We have to find the directional derivative of the given function.   According to our guidelines we…

Q: Find the scalar equation of the plane containing the line: 1₁: [x, y, z] = 1₂: [x, y, z] = [2, 6,…

A: The solution is shown below-

Q: (12x-4)dx (3x+1)³(2x-2) 3

A: We have to find out the integration.

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A: Derivative

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A: NOTE: As per our guidelines we are supposed to answer first 3 sub-parts only. Kindly re-post other…

Q: 1. A tank initially holds 100 gal of brine containing 30 lb of dissolved salt. Fresh water flows…

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Q: To get the best view of the Statue of Liberty, you should be at the position where is a maximum.…

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Q: The domain of the function h graphed below is all real numbers, and all of its extreme values occur…

A: Here three points (1,2) , (0,-2) and (-2,-1) where we can draw three tangents to the graph which are…

Q: Find the arc length function for the curve y = sin(x) + √1-x² with starting point (0, 1).

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Q: 51. y = e-* cos x, [- , ] 3]

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