Find the volume of the pyramid with base in the plane z = -10 and sides formed by the three planes y = 0, and y - x = 1 and x+y+z=0. NOTE: Enter the exact answer. V =

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Q: 15

A: Given: The instantaneous rate of change is determined by finding the difference quotient over a very…

Q: ts) Let f(x) = 1. f'(x)= 2. f'(4)= 5x² tan(r) sec(x) Find the following:

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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: Find an equation for the tangent plane to the surface z + 3 = xy* cos(z) at the point (3, 1, 0)

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Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

A: Given  x + y = 160

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…

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Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: Given: Limits include an arbitary real number, c.Find the limits limx→c+33(x-c)2 and limx→c-33(x-c)2

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: y-329 and recieved an incorrect mark. Also remember we are solving for Z so put the answer as an…

A: Given:z=7ex2-2y

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

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Q: (a) Find the linear approximation L(x) of 2 f(x) = x³ at x = 3 L(x) = x = 27. (b) Use L(x) to…

A: The given function fx=x23. To find the linear approximation of fx at x=27.

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: To find where the function is increasing or decreasing.

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 6(e−0.4t −…

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

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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: п Convert the point (p, 0, 0)=(3, 377) 6 expressions, or decimals to at least one decimal place. (x,…

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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: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Find y if In X Jer X (2x + 7) dx +4% + +4x + 8 8 | + ² tan y + c

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Q: 3. a) Find the limit of the sequence an = (2n²+3)(n-1) n(n² + 1)

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: In a certain city, the temperature (in degrees Fahrenheit) t hours after 9 a.m. was modeled by the…

A: Given:- Tt=50+14sinπt12

Q: 2√3/3 3/2 21 7(²-1) ³92 - -dr = r (Type an exact answer in terms of .)

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Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: Given: I=∫1121∫y11ydxdy It means that the region bounded by the curves x=y, x=y11 from 0 to 121 is…

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: . Evaluate the limit for the graph: lim f(x). |y4 4 a. 3 b. 2 2 -4-20 2 -2 -++-% x c. d. 5 does not…

A: We will find the required.

Q: Suppose that f(x) = x³ - 6x² + 15. (A) List the values of all local maxima of f. If there are no…

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Q: Draw an accurate diagram of what follows and find resulting distance to the port: A ship sails on a…

A: We have to find, the distance from the ship to the port and the bearing of the ship from the port by…

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

A: The solution is shown below-

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: How do you find the absolute max and min for problem 45?

A: The given function is: y=x+x2-2x ;          0, 4

Q: 20,000e 1+ ķ xy-plane, where x and y are measured in centimeters, find the total population of…

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Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

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Q: Evaluate the iterated integral **²y³ dady.

A: K=∫04∫016x2y3dxdywe know ∫xndx=xn+1n+1+c

Q: Solve the equation for x given that 1 ≤ x ≤ 8: ln x = sin x, using 5 iterations of Newton's method.

A: To find the solution of the following equation ln x = sinx by using Newton's method For the…

Q: Identify the open intervals on which the function y=9x-18 cosx, 0<x<2pi is increasing or decreasing.

A: A function y=f(x) is said to be increasing in an interval a,b if for everyx∈ a,b, dydx=f'(x)&gt;0.…

Q: A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write…

A: given shaded region is between concentric circles with radius r=8 and r=10. So, it is better to use…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: he given curve is rotated about the y-axis. Find the area of the resulting surface. y =  1 3x3/2,…

A: Given

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: ind the derivative of the function. y = e-7x In(4x)

A: y=e-7xln4xd dx(lnx)=1xd dx(ex)=exd dx(a.b)=adbdx+bdadx

Q: A volume is described as follows: 1. the base is the region bounded by y = 7 64 2. every cross…

A: The base is the region bounded by y=7−764x2 and y=0. And every cross section parallel to the x-axis…

Q: (a) Use differentiation to find a power series representation for 1 (6 + x)2 f(x) = f(x): 00 Σ n = 0…

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Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

A: The cost of producing x bags of dog food is given by Cx=900+700+50x2-x, where 0≤x≤5000. To find the…

Q: Solve yy'= -(x+2),Y(0)=\

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