Evaluate R (2ry) dA, where R is the triangle shown below. y-axis (0, 3) √x+y = 3 R x - 4y = 0 (4,1) x-axis

Q: The surface of a mountain is modeled by the equation h(x,y)=5000-0.006x2-0.008y2. A mountain climber…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = -4 x…

A: Here vertical asymptotes at x = -2 and x = -4 we have denominator (x+2) and (x+4) as co-factor .…

Q: Use integration by parts to evaluate the integral. [5. 5x ln(2x) dx

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Q: Find the maximum rate of change of f(x,y) = ye¯x + xe¯ at the point (x, y) = (0,0) and the direction…

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Q: Find an equation of the evolute of the hyperbola y=1/x.

A: Concept Used: Standard form of the hyperbola The standard form of the hyperbola is: x2a2-y2b2=1

Q: 2. Find a particular solution Y(t) of y"" - 2y" - v' + 2y = t

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Q: If tant = what is tan (t - π)? Enter the exact answer. tan (t = π) = - 囡囡

A: Concept: The formula of tan(a-b) is tana-b=tana-tanb1-tan(a)tan(b)

Q: 1) Given the graph of f(x), sketch the graph of f'(x). You may sketch directly over the given graph.

A: Make the graph of f'(x)

Q: Differentiate the function P = 7000(1.01)*. NOTE: Enter the exact answer. P' (t) = =

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Q: For the function f(x) two periods. Enter the exact answers. 2 cot a determine its stretching factor…

A: We can solve this as follows:

Q: 8. For the function f(x, y) = 4x+4y+-+- find and identify the critical points as being local…

A: The given function fx,y=4x+4y+1x+1y We have to find the critical points and its type.

Q: A particle moves according to a law of motion s= f(t), t≥ 0, where t is measured in seconds and s in…

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Q: Find dy dx Y = x - 7 X

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Q: We are going to calculate the standard deviation for the following set of sample data. 1) First,…

A: NOTE: Refresh your page if you can't see any equations. . the given sample data is  find the mean

Q: 9. You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: 4. Suppose that the following equation defines y as a differentiable function of x: 2√y + y = 2x.…

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Q: (ex + ln y + ²) dx + ( + Inx + siny) dy = 0 y(2x² - xy + 1)dx + (x - y)dy = 0

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Q: Find and simplify dx y = (ln x) ³x²+2

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Q: 2. Solve by the substitution method. If there is no solution or infinitely many solutions make sure…

A: Given the system of linear equations x - y = -3 2x + 9y = -17 By using substitution method we need…

Q: at which the tangent plane is horizo

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Q: Solve the following for x i. 2³x-1 = ii. 16 4*2*12= 0

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=√56x²-9y²-16x-31…

A: The function is given as , fx,y=56x2-9y2-16x-31+1-8x find the local minima , local maxima and saddle…

Q: 2. you reached your conclusion. If the series converges, find what it converges to. (2) Σ4.5-4 k=2…

A: Please see the below picture for detailed solution.

Q: Q5: Solve the following set of equations using Newton-Raphson with initial values x₁ = 0.5, x₂ =…

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Q: if cost and revenue are given by C(x) = 187 +0.8x and R(x) = 8x-0.02x

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Q: Identify the differential equation that produces the slope field below. Y 3 2 1 -1

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Q: 4. Use linearization to give an estimate for 264.

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Let's solve given diffential equation by using Laplace transform.

Q: For y = 88√x, find dy, given x= 4 and Ax=dx=0.22. dy= (Simplify your answer.)

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Q: Find the relative error when using the trapezoidal rule to calculate ¹(x³ + 3x²) dx using 3…

A: Topic = Functions

Q: Consider g(y) = 7y(3 – y) ¾³ Determine the intervals on which g is concave down. O g is concave down…

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Q: Consider the following function. g(x) = 3x³ - 8x Find the first and second derivatives of the…

A: Consider the following function.gx=3x3-8xTo find the first and second derivatives of the function.To…

Q: The solutions provided are not answer to my problem. This is my problem: x2>-4x Please explain

A: Let's solve.

Q: A particular dam contains approximately 1,200,000,000,000 cubic feet of water. For a week-long spike…

A: Topic- Algebraic operations We are given, Amount of water in the dam= 1,200,000,000,000 cubic feet…

Q: Determine the location and value of the absolute extreme values off on the given interval, if they…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: At the beginning of an experiment, a scientist has 248 grams of radioactive goo. After 210 minutes,…

A: given that at the beginning of an experiment a scientist has 248 grams of radioactive  so initial…

Q: Find the derivative and simplify where possible for the following:

A: Given, g(x)=1-coshx1+coshx   Aim: Find g'(x)

Q: Given f(x)= x + 2 sinx, for what values of a does the graph of f have a horizontal tangent line?

A: See the answer below

Q: If h (2) = 5 and h'(2) = -4, find d /h(x) dx h(x)) x = 2

A: we use quotient rule here

Q: 5. Suppose that f(x) is a differentiable function that has an inverse. If the graph of y = f(x)…

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Q: Based on the graph of the function y = (2,4) -2 (A) f f (x) dx = (B) f f(x) dx = (C) f₁ f (x) dx 3…

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Q: Find lim h(x), if possible. (a) h(x) = f(x) = -8x² + 3x - 4 f(x) X lim h(x) (b) h(x): f(x) lim h(x)…

A: Concept: A function may get close to two distinct limits. There are two scenarios: one in which the…

Q: places.) p= f(x) = -0.1x²-x+ 40 (a) Find the average rate of change in the unit price of a tent if…

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Q: 1. 2. * Your answer is incorrect. Solve the initial value problem y" - 5y36y = 0, y(0) = a, y'(0) =…

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Q: 2. Given Q(x) = 27x³ +1. a) b) c) Show (3x+1) is a factor of Q(x). Factorize Q(x) completely into…

A: Given Qx=27x3+1

Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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Q: Graph the solution to the following inequality on the number line. x2>-4x

A: Topic =Inequality

Q: ASK YOUR TEACH The sum of the perimeters of an equilateral triangle and a square is 17. Find the…

A: Given data÷ Sum of perimeter of equilateral triangle and square is 17. We need to find the…

Q: 14x - 42 x² + x - 12 1. Write the function in completely factored form: Consider the function f(x) =…

A: Concept: The line x=L is a vertical asymptote of the function y=14x-42x2+x-12, if the limit of the…

Q: Find the exact value of the given expression. tan(cos-¹(²)) 2 3 4

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