Find ax dy II of of ax dy f(x,y)=√√x² + 4y² || and (Type an exact answer, using radicals as needed.) (Type an exact answer, using radicals as needed.)

Q: B₂ (x₂3x₂ ) = 4x₁x₂ *1*2 0< x₂ <1 2 Y₁ = x₂₁² Y₂ = X₁ X/₂ Find the joint pdf for Y₁, Y₂ for 0<x< ₁…

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Q: Write the equation of the tangent line to the curve at the given point. x² + y² + 6x - 3y + 7 = 0 at…

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Q: Suppose that the position of a particle is given by f(t) = 5t³ +7t + 9. s = f(t)

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Q: The Fourth Gate You arrive at the fourth gate, feeling confident in your skills. "It is a good thing…

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Q: A ship sails on a heading of 240° for 80 km. It then goes on a heading of 140° for 110 km. Determine…

A: To solve the problem, we can use the law of cosines, which relates the lengths of the sides of a…

Q: Find the arc length of y = 2x³/2 on 1 ≤ x ≤ 3.

A: y=2x321≤x≤3arc length(L)=∫ab1+(dydx)2dxd dx(xn)=nxn-1

Q: Find the limit. lim X→0 sin (8x) 7x

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Q: P'(W): = P(w) = 6w² - 2w + 4 VW

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Q: Arriving at the eighth and penultimate gate, you immediately get to work. "Computer, translate this…

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Q: The region bounded by f(x) = −3x² + 12x + 63, x = 0, and y = 0 is rotated about the y-axis. Find the…

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Q: Change the Cartesian integral - ² dy dx into an equivalent polar integral. Then evaluate the polar…

A: To change the Cartesian integral ∫-55∫025-x2 dy dx into an equivalent polar integral. Then to…

Q: Find the volume of the solid obtained by rotating the region bounded by y = 8x², x = 1, and y = 0,…

A: V= 64π/5 For detail go through the solution

Q: sin 5 (17x) dx = [

A: To evaluate : ∫sin517xdx Let I = ∫sin517xdx ⇒I =∫sin417xsin(17x) dx

Q: Find the critical point of the function f(x, y) = 4+ 3x + 2x² − 4y − 2y² This critical point is a:…

A: Need to find out the critical point of the given function.

Q: Find the derivative of the function. y' = y = etan(e)

A: We use chain rule to find the derivative of the following function.  dftdθ=dfdt·dtdθ also use the…

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: Given function: f(x) = 45x54 To find: Arc length of the given function f(x) over the interval [0,16]

Q: 4. Point of Diminishing Returns Assume that an advertising campaign is launched for a new product…

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Q: The perimeter of a rhombus is 68 inches and one of its diagonals measures 30 inches. Find the area…

A: Topic = Geometry

Q: 3. Select the sine wave so the parent function is f(x) = sin (x). Start with a and b both set to 1.…

A: We have to draw the graph of sine wave with the changing values of b.

Q: In this problem, p is in dollars and q is the number of units. Suppose that the demand for a product…

A: Given: Demand for product is given by 2p2q = 30000+9000p2, where p is in dollar and q is the number…

Q: A volume is described as follows: 1. the base is the region bounded by x = y² + 8y + 50 and x = 2.…

A: A volume is described as follows: 1. The base is the region bounded by x=-y2+8y+50 and x=y2-22y+138.…

Q: mine the average rate of change of f(x) = x³. - x over the interval 1 ≤x≤ 3.

A: We will find the required.

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 2.3*,…

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: To find out the critical points, increasing and decreasing intervals and also the extrema and at…

Q: Expand the quotient by partial fractions. x² +5 X x2 - 5x + 6 2 x² +5 2 x -5x+6 (Simplify your…

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Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…

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Q: - 49 -dx = X (Type an expression using x as the variable.)

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Q: dy Find by implicit differentiation. dx x²14xy + y² = 14

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Q: Find a vector function, r(t), that represents the curve of intersection of the two surface the cone…

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Q: The position of an object with respect to time is given by the following function: d(t) = t³ + 2t² -…

A: Derivative

Q: The derivative of a function is given f'(z) = (2²-21-8)g(x) for some unspecified function g such…

A: The first derivative of a function is given by fx = x2-2x-8gx,   gx&gt;0 To determine: The point…

Q: Evaluate the limit using L'Hospital's rule if necessary x 5 7 lim (1+1)

A: To find the limit

Q: Suppose the demand for a certain brand of a product is given by ​D(p)=−p^2 / 416+450​, where p is…

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Q: Q8 Find the slope at x = 2 on the graph of f(x) (a) -3 N/W (b) 3/3 (c) 3 4 = 3 (d) 0

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Q: The function f(x) = - 0.625x^3 + 16.789x^2 - 102.722x + 658.154 approximates the number of…

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Q: A student drew the graph of y = f (c), y = f' (x), y = g(r), and y = h(x). Unfortunately, they…

A: Find the graph of y=fx and y=f'x.

Q: D. Name another exponential function that is equivalent to y = 2. (Hint: Recall that y = 2 * =…

A: D) The given data is: Name another exponential function that is equivalent to  y=2-x

Q: Suppose a product's revenue function is given by -8q² + 800q, where R(q) is in dollars and q is the…

A: The given revenue is Rq=-8q2+800q, where Rq is in dollars and q is the number of units sold. To find…

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

A: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

Q: Differentiate the function. f'(x) = f(x) = 250

A: f(x) = 250 We need to find f'(x)

Q: Given ƒ"(x) = 6x – 5 - and ƒ'(−2) = −1 and ƒ(−2) = 2. Find f'(x) = and find f(2)=

A: We need to find out the value of f'(x) and f(2) for which the second derivative is given.

Q: Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist,…

A: We find the first and second derivatives using the power rule F(t)=3t5-20t3+20F'(t)=ddt3t5-20t3+20…

Q: Consider the following vector function. Find each of the following. r'(t) = = r'(0) r(t) = cos(t) i…

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Q: Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x =…

A: given  x2+y2=136d dx(xn)=nxn-1d dx(constant)=0

Q: Given the graph of y = f(x) below, at which of the marked x-values can the following statements be…

A: Given: Graph of y = fx To find: The value of x for which the given statements are true.

Q: Can you simplify for the f'(x) like the instructions says

A: The derivative is: f'x=5x51x+lnx25x4

Q: Find the derivate of the function F(x) = x²(x²-8) a) C 2 6b) f(x) = (5x²³²-7) (6x + 1) F'(x) = c) 5…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks,…

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Q: Q12 Construct the equation of the line passing through (0, -2) and (3,5).

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