Find f. f"(x) = 6 - 6x - 40x, f(0) = 7, f'(0) = 6 %3D f(x) = %3D

Q: Consider the function below. f(t) = t + cost, -2n sts 2n (a) Find the interval of increase. (Enter…

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Q: Find the quadratic function such that f(4) = - 26, f '(4) = -19 and f ''(4) = -6.

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Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

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Q: [3x e dx Зх е

A: The objective is to evaluate the integral by parts.

Q: The supply function for a certain size boat given by p= 430(2") boats, where p dollars is the price…

A: Solve the equation for the given value of p.

Q: 9. Set up the integral to calculate the area between the cur f (x)= x* – 2x g(x)=-2x+1 A. gx)- f(x)…

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Q: For the model of Newton's law of cooling LP -2T + 4, T(0) = -2, dt the initial temperature is -2°.…

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Q: The x-intercepts of f(x)=x°+ 11x²+ 10x are: %3D O a. (0,0), (1,0) and (10,0) O b. None O c. (-1,0)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: S(Võ +) 1 do

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Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

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Q: (d) 2. +2 = 0 (e) In enz – 1ln r - 4 = In 3 |

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Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for…

A: Given :     ∫012136-x2dx

Q: Given the initial-value problem y'+3x 2y, y(1) = 0.2, %3D use the Euler's method to obtain an…

A: Euler method states that yn+1=yn+hfxn,yn  where xn+1=xn+hOption (b) is correct.see below the…

Q: Scse* xdr 4 2.

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Q: X 21. The height, s, of a ball thrown straight down with initial speed 32 ft/sec from a cliff 48…

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Q: Evaluate the following limit and show the complete solution

A: Given limit is in the form of 0/0

Q: Consider the following. u = x w = Vx y = xx Calculate the following. Simplify your answers. du dx dw…

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Q: 3. Let f(x) = 1+x + x² + x° +x* + x°. %3D Find T3(x), the Taylor polynomial of f at r = 0 with…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation…

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Q: A. Evaluate the following integrals. dx 1. 5+x2 dx V4-9x2 dx 3. x V16x2–25 dx 4. x2+4x+13 2.

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Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

Q: Calculate the arc length of y = x² – In(x) over the interval [1, 6e]. (Use decimal notation. Give…

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Q: .John can swim at 4km/h in still water. He wishes to swim across a river to a point directly…

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Q: 4 Consider the function f(x) = ex Where are the discontinuities located? - e-x (If there are…

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Q: 4x 20. Write log2 assthe sum and/or difference of ² - 3x - 18 logarithms. Express powers as factors.

A: The given logarthim expression,       log24x3x2-3x-18

Q: A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the length from 3 m…

A: answer is in next step

Q: Sx² Vx – I dx

A: Given query is to find the value of integral.

Q: 2. Use the identity of inverse hyperbolic function to solve cosh-(2 – a2) = ln 2, for |æ| < 1.

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Q: 4. Sx 2* dx

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Q: Find the region R below for which (2 – x² – y²)dA has the largest value. R Hint: you can do this…

A: To find the region R for which the integral has the largest value , find the region R for the…

Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

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Q: Finding the Volume of a Solid In Exercises 29 and 30, use the disk method or the shell method to…

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Q: Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

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Q: f (x) = (1+ 4.x)² %3D

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Q: cos 0 (4) Evaluate the iterated integral /A scos 3r2 sin 0 dr d0.

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Q: Y(s) S + 8 Use the Laplace Transform table to convert this function into f(t).

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Q: 7. DETAILS Y NOTES ASK YOUR TEACHER Find the interval(s) where the function is increasing and the…

A: The objective is to find the interval where the function is increasing and also the interval where…

Q: Evaluate the integral by making an appropriate change of variables. 2 sin(25x2 + 36y2) da, where R…

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Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: In the recent "Asian War" in the South China Sea, the allied forces captured 6,400 of China's…

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Q: Find of and Duf to :- f cas,z) = In (x²+zy?+32) atp(-v34) in the direction of ã=-3i-4j-12K. -314…

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Q: Finding the Area of a Region In Exercises 5–14, sketch the region bounded by the graphs of the…

A: Question- In Exercises 5-14, sketch the region bounded by the graphs of the equations and find the…

Q: to double? Us Find the inverse of f(x) = log, (3a + 1) +2 The

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Q: 6. Find the volume of the solid generated when the area of the region between the curves y = Vsinx,…

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Q: Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars)…

A: P(n) = n(50 - 0.5n) - 100 P(n) = 50n - 0.5n2 - 100 Domain : [ 0,100 ] Now, P'(n) = 50 - n  To Find…

Q: Evaluate the following limits. If needed, enter 'INF' for ∞ and '-INF' for -x (a) (4 – x)(8+ 3x) lim…

A: topic - limits

Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 1, y=2, and…

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Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km/…

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Q: Find the equation of the tangent line to the curve at the given point. yA = 16x° at (1,2) %3D ...…

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Q: Find the first partial derivatives of the function (x, Y) = x/1+ y

A: topic - partial differentiation