-2 sin x where y () = 7 dx O y = 2 cos x + C O y = -2 cos x + C

Q: Find the specific nth term in the expansion of the binomial. (x+y)^15, n = 4

A: topic- binomial series

Q: Consider the following. (If an answer does not exist, enter DNE.) F(x) = x/9 – x (a) Find the interv...

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Q: P Find the volume of the Solid obtained by rotating the region bonded by the given Curves aboot the ...

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Q: S sinxcos(2x)dx

A: We need to evaluate the following integral I = ∫sinxcos2xdx Formula Used: ∫xndx = xn+1n+1+C

Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume t...

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Q: Use an appropriate trigonometric substitution to evaluate the following definite integral 1 2+1 da. ...

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat...

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Q: Vhen we speak of velocity, we usually mean instantaneous velocity, which indicates the speed and ire...

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Q: sing matrices тat x + 2y = 5 x +y =3

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Q: 6. у%3D х2 —Зх, y = x

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Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find. 

Q: 37. The sales of a certain merchandising company are on their bestselling item is being represented ...

A: Let's find. 

Q: A learn.hawkeslearning.com/Portal/Lesson/lesson_certify rks DSHUN EDWARDS <- Save & Exit Certify Les...

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Q: Let A and M be n x n matrices. If AM = 31, then M-1 O is equal to (1/3) A is equal to (1/2) A O is e...

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Q: Pls solve using Integrating Factors Found by Formulas: xydx - (x^2 + 2y^2)dy = 0

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Q: 3. Given the equation y = - 0.5 (x – 1)³ + 2 a) State the base/parent function: b) Use math words to...

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Q: 4. Find the slope of the tangent to the graph of f (x) = x³ + 3x² + x at its point of inflection. Sh...

A: Slope of the tangent is obtained by dy/dx 

Q: Sketch the region bounded by the given curves, then find its area. x=y2, x=y+6

A: Here we have to sketch the region bounded by the given curves.  We have, x=y2, x=y+6

Q: Approximate the sum of the series correct to within 0.00001. (-1)" (3n)! n = 1

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Q: Express the function f(x) = g(x)^x) in terms of the natural logarithmic and natural exponential func...

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Q: Write the first five terms of the geometric sequence. a1 = 25, r= -

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Q: 2. 2x Vx-2 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Let F and G be vector-valued functions such that F(t) = (cos(nt), e²t-1, t² – 1), Ġ(1) = (1, 1, – 1)...

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Q: Write a differential equation that models the given situation. The stated rate of change is with res...

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Q: Write the first five terms of the geometric sequence. a1=3, r= 2x

A: If a1 is the first term and r is the common ratio of a geometric sequence then the sequence is given...

Q: Use an iterated integral to find the area of the region. dy dx = y 10 9 8. 7 6 5 4 3 2 1

A: As we know that; The equation of the line when it passes through the points x1,y1 &amp; x2,y2 y-y1=y...

Q: S 3rsinh (x²) cosh(x²)dr

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Q: In the process of solving the differential equation g" – 5x'y = cos(5x), x > 0, - which of the follo...

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Q: y

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Q: Which of the following is a solution of the differential equation xy' + y = 4x? y = 2x - 7x-1 Oy = 1...

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Q: Sketch the region bounded by the given curves, then find its area. x = 8 - y^2, x = y^2 - 8

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Q: 4. What is the volume of the prism? 4.6 in 5.1 in 2.1 in 13.6 in 2.8 in

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Q: The monthly water charge for a farmer based on his consumption can be calculated using this function...

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Q: y = ² + 3 in the Cartesian form y t Express the parametric f(x). curve x t+7

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Q: Show that (0,0) is a critical point of f(x,y) = x2 + kxy + y no matter what value the constant k has...

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Q: 11. Identify the correct mapping rule for the following transformed function: * f (x) = -V-2 (x + 6)...

A: The objective is to identify the correct mapping rule. 

Q: Compute the derivative of the following function. f(x) = 11 e 4x f (x) =

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Q: Find the sum of the infinitie geometric series. (If an answer is undefined, write UNDEFINED.) 64+56...

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Q: Use the Laplace transform to solve the given initial-value problem. dy — у %3D 1, у(0) %3D 0 dt

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Q: Jse cylindrical coordinates to calculate fSfw f(x, y, z) dV for the given function and region: f(r, ...

A: We need to evaluate integral using cylindrical coordinates.

Q: 5. The function f (x) = 2kx³ + 3x² + px – 3 has a local minimum at x = -1 and a point of inflection ...

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Q: State both forms of the Chain Rule for calculating the derivative of y = f(g(x)). State both forms o...

A: We can answer both the questions as below

Q: The line that passes through the point (4, -2,0) and parallel to the vector (1, 2, –3) has symmetric...

A: The solution is given in the next step.

Q: Given the graph of a function f (x). Find f (c) and lim f(x) where c are as follow: 20 15 f(c) lim f...

A: Graph of the function is given, we have to find the required limit values

Q: Write a differential equation that models the given situation. The stated rate of change is with res...

A: Given the situation The rate of change of the radius r of the snowball is inversely proportional to...

Q: - 4x +7 on the interval [0, 4). Verify that this function satisfies the three Consider the function ...

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Q: Evaluate the given iterated integral. Sketch the region of integration and rewrite the integral usin...

A: Integral

Q: up 4+y 10 -b -8 -7 -6 -5 -4 -3 -2 -1 3 4 5 6 7 8 10 -2 3 -4 -6- Give the equation for the ellipse gr...

A: We can find the equation of ellipse from the graph as below.

Q: 2. Tell one Solution to this graph. 1.

A: topic- inequality

Q: Assume that the function f is a one-to-one function. (a) If ƒ(6) = 2, find f'(2). Your answer is (b)...

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