2 Find the average height of the paraboloid z = x +y over the square 0 ≤x≤ 1,0 ≤ y ≤ 1

Q: (6x² - 4)² 24x dx

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A: For the following demand function, to find  (a) E, and (b) values of q (if any) at which total…

Q: Find the directional derivative of the function f(x, y) = ln (x³ + y³) at the point (2, 3) in the…

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Q: 4sqrt(2) was incorrect

A: Given:= f(x,y) = x3y2U = (-3,3) P= (-1,-2)   The directional derivative being negative means that…

Q: Use polar coordinates to find the volume of the given solid. bounded by the paraboloids z = 10 - x²…

A: The solution is shown below-

Q: Question 18 Show that the equation has exactly one real solution. 207e+2023 In x = 7724

A: To show that the equation 207e^x + 2023 ln x = π^(24) has exactly one real solution, we can use the…

Q: Find the derivate of the functions: a) f(x) = -3x²³ -4 sxt9 · f'(x) = (6) g (v) = 3 2√² +5V-9 g' (v)…

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Q: Find the exact absolute maximum and absolute minimum of h(t) = cos(2t) + √3 sin(2t) on [0,1]. Show…

A: h(t)=cos(2t)+3sin(2t)for critical points, put h'(t)=0d dt(sint)=costd dt(cost)=-sint

Q: 2. Determine whether the series is convergent or divergent. If it is convergent, find its sum. ܐ 5…

A: The Series ∑n=0∞arn is called geometric series and the geometric series a is the first term and r is…

Q: 1. Find the Cartesian coordinates a. 1 2 I b. -√2₁. 2 3 π

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Q: The graph of y = f'(x) is shown. 10 9 -8- 7 6- 5 4 3 2 1 10-9-8-7-6 फं A -2 -3- -4 -5 -6 -7 -8 9 10…

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Q: For what values of p does the following series n=2 (Inn)p-2 n converge or diverge?

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Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

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

A: We will find the required.

Q: 16 cos 6nt dt = [

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Q: Differentiate. f'(0) = f(0) = cos(0) sin(0)

A: Please see the below picture for detailed solution.

Q: If a ball is given a push so that it has an initial velocity of 6 m/s down a certain inclined plane,…

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Q: The data in the table concerns the lactonization of hydroxyvaleric acid at 25°C. They give the…

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Q: Complete the parametric equations of the line through the points (-6,-1,6) and (-2,-7,-4) x(t) = − 6…

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Q: X x+3 3x-1 Evaluate the limit, if it exists: lim a. 0 b. undefined C. co|w d. 1

A: Given : limx→3  x3x-1 To find: The value of given limit

Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising…

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Q: Let f(x) = (3x - x²) if 0 ≤ x ≤ 3 and f(x) = 0 if x 3. (a) For what value of k is f a probability…

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Q: Consider the ellipse 25x² + 64y² = 1600. Consider the point P(16,5). Find an equation for both lines…

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Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

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Q: Let f be the function with domain [1, 3], defined by f(x) = −x² + 3x. The function f has a global…

A: The answer is in step 2.

Q: What is the minimum value of f(x) = x^2 - 8 ln x   on the interval [1,5]

A: To determine the minimum value of fx=x2-8 lnx on the interval 1, 5.

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: The joint density function for a pair of random variables X and Y is given. [cx(1 + y) f(x, y) if 0…

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Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: Integration

Q: A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material…

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Q: Suppose that f (x, y) = x³y². The directional derivative of f (x, y) in the directional (-3, 3) and…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: QUESTION 24 Write the expression in expanded form. x2-9 (x+2)2 3 logg O 6 logg(x-3)-6 logg(x + 2) O…

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Q: Answer the following questions. 1 A function f is given by f(x) = (x+1)|x+3| x+3 (a) Express f(x)…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: find a reduction formula for the integral|x" cos x dx.

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 9 y 2 5 y-y-2 -dy =…

A: Integration

Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 6 X₁ = 1, X₂…

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Q: Find the points on the cone ² = x² + y² that are closest to the point (5,4,0)

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Q: Find the general solution to the given differential equation. (Remember the constant of…

A: To find general solution of differential equation As per our guidelines we are supposed to answer?️…

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

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Q: Let f(x) = x² 50x² – 8. Calculate the derivative f'(x) = Calculate the second derivative f"(x) =…

A: Please see the below picture for detailed solution.

Q: Using the ratio test to determine the convergence or divergence of the series series. Divergent The…

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Q: Find the arc length of the curve y = ln x - ² on the interval [1, 3].

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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: Average Cost for Producing MP3s The average cost (in dollars) incurred by a media company each week…

A: Here is the solution:

Q: 1. Find the length of the arc of the curve 3 (2 x − 1)² from x = 0 to x = 8 - y = 32/2 (2x

A: Given :y=2322x-132

Q: 1 2 √x² x + 10x + 61 S -dx =

A: