Find the open intervals where the function graphed below is a) increasing, or b) decreasing.

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A: The given differential equation is: ty''+2y'+te3ty=0

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 53. How tall is…

A: Please see the below picture for detailed solution.

Q: 1. Let D be the domain of the function g(x,y)=√²-y. What is D as a subset of R27 Sketch or describe…

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Q: Consider the region enclosed by x + 6y = 12 and x + 4 = y². Using integrals, the area of this region…

A: The given curves are:x+6y=12     and     x+4=y2

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

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Q: For the following integral.Seda using n=5 subintervals a) Find the Midpoint Rule Approximation, as…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5. The altitude of a right circular cone is obtained, by measurel possible error of 2% in the…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: ermine the intervals on which the graph of y f(x) = 9x² + x4 concave up or concave down, and find…

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Q: The hypotenuse of a right triangle has one end at the origin and one end on the curve y(x) = x2e-4x,…

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Q: The equation of the tangent line to a function fatxa is given by the equation y = 12(x-a)+b. Use…

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Q: Find fif f'(x) = 8x³ + 16x + 6 and ƒ(1) = −3. Answer: f(x) =

A: f'(x)=8x3+16x+6f(1)=-3∫xndx=xn+1n+1+c

Q: At time t=0, a particle is located at the point (9,1,6). It travels in a straight line to the point…

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Q: A box (which includes all 6 sides) is being constructed with a rectangular base. The base has length…

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Q: Follow the steps below for the given function 6x + 5y = 3

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Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in…

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

A: We have to find the average acceleration form the above table given.

Q: Find the derivative of the function 54² (4²+4)³ 3 g'(u) = g(u) =

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Q: Find the function with derivative f'(x) = e4x that passes through the point P = (0,5/4). f(x) =

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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: In Exercises 35-40 use the root test to analyze whether the given series converges or diverges. If…

A: The given series is:∑k=1∞ 5kk24k+1

Q: Q. 3 Given z = x²y, x = 2t+s, and y = 1 - st². dz We have to find dt s=1, t=2. We first find dz dt

A: Given data÷ z=x2y ,x=2t+s, y=1-st2 dzdt at s=1,t=2 Here, z=fx,y and x=fs,tand y=fs,t

Q: 5. Determine if the following integral is convergent or divergent. Do not calculate it. 1+2 sin(¹)…

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Q: 11. Find the differential equation of the family of lines passing through the origin 12. Solve the…

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Q: Let F(1) = ƒ(ƒ(1)) and G(1) = (F(1))². You also know that ƒ(9) = 7, ƒ(7) = 3, f'(7) = 9, f'(9) = 9…

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Q: Find the interest rate needed for an investment of $10,000 to double in 9 years if interest is…

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Q: If y = 2x³ + 5x and dy = dt 5 dx dt dy dt = 4, find when x = 3.

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Q: Consider the function f(x) = 3x + 8x-¹. (a) Find all critical numbers c of f. (b) f is increasing…

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Q: increasing two hours later? mi/h

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Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

A: we need to find out the half life time for the given decay equation.

Q: Use your graphing calculator and say why these two inequality have not solutions.  a)   x2-4x +5 0

A: Consider the given inequalities a) x²-4x+5<0  b) -x²+4x-5>0

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: f(x) = -3 sin T2 - 2bx² x -2 x 3x² + e²

A: Please see the below picture for detailed solution.

Q: (c) Now find the exact values of a and b that satisfy the conditions in part (a).

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Q: Evaluate the integral / f (y cos x + 4) dydx.

A: L=∫0π6∫05(ycosx+4)dydx

Q: (a) Verify that y is a solution of the ODE. (b) Determine from y the particular solution of the IVP.…

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Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: please see the below picture for detailed solution.

Q: Find the first and second derivatives of the function. g(x) = -5x³ + 10x² + 4x − 64 g'(x) g"(x) =

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Q: Acme finds that its monthly revenue, in dollars, from the sale of x carry-on suitcases is 0.008x³…

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Q: The number of Drosophila fruit flies in a controlled experiment assumes the following growth pattern…

A: Given: N(t)=7501+14e−0.4t

Q: Write each expression in the form 2kx or 3kx for a suitable constant k. (a) 2x 1 (37) 81 (b) - 3x 1…

A: Please find the solution as per Bartleby guidelines

Q: Find an equation of the tangent line to the graph of the function f defined by the following…

A: Given equation ( x - y - 1 )3 = x

Q: Evaluate the following trigonometric integral. [sec¹ asinxdx

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Q: Ted makes a chart to help him analyze the continuous function y = f(x): y ょく-l + z=-1 2 0 -12 y 1 -2…

A: We need to choose correct option.

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

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Q: 3. Determine the curvature and radius of curvature of y = 6x-x³ at (1,5). a. 0.18973; 5.2704 b.…

A: Since you have posted multiple questions i can do first question as per our company guidelines…