Find the volume of a pyramid with height 16 and rectangular base with dimensions 3 and 10

Q: f(x) = ln (arctan (x))

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Q: A silver dollar is dropped from the top of a building that is 1331 feet tall. Use the position…

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Q: Consider the region enclosed by x + 3y = 36 and x + 4 = y². Using integrals, the area of this region…

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Q: Differentiate implicitly to find d2y/dx2.   2y2−xy+5x2=3

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Q: Minimize C = 4x₁ + 11x₂ + x3 subject to the constraints X1 + X3 ≤8 2x₁ + x₂ X1 X₁ ≥ 0, X₂ ≥ 0, > 5…

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Q: Given y=root x. Find dx/dt when y=3 and dy/dt ​= 1.75. dx/dt=

A: Given y = x dydt= 1.75 dxdt = ? when y = 3 then x = 9

Q: Find the elasticity. 22) q = D(x) = 200 - x 1 A) E(X)= 200-X C) E(x)= x(200 - x) B) E(x)= D) E(X)= X…

A: Given: q=Dx=200-xTo find the elasticity.

Q: Find an equation of the line passing through the (1, 2) and the point intersection to the lines 3x +…

A: The line passing through the (1, 2) and the point intersection to the lines 3x + y =5 and 2x - 5y -…

Q: 3. Create an infinite series by letting convergence for this series. n→∞ Find the interval of

A: We need to find radius and interval of convergence.

Q: ďy dx² If xy + 2 = -x then find y at the point (1, -3) in simplest form.

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Q: 4 Given the graph to the right, find f(x)dx. St(x)dx. 0 10- 8- 6- 4- 2- Ay X O

A: Given Graph:-

Q: 1- Calculate R6 for f(x) = 9 10x on interval [2, 4].

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Q: Find the nth Maclaurin polynomial for the function. 4x - 3 x + 1 n = 4 P4(x) = eBook f(x) = X

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Q: 3. Find the volume of the parallelepiped determined by the vectors ū₁ = (1,1,1), ū₂ = (1,3,-4), z =…

A: We need to find volume.

Q: Suppose that is an angle for which both of the following are true: 3 5 cos(0) - 4 5 Evaluate the…

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Q: Find the value of x lim x0 √4+3x - 2 1. limit 2. limit 3. limit = 4. limit 5. limit || 6. limit = =…

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Q: The ellipse 13x² + 2x + y² = 1 has its center at the point (h, k) where h= The length of the major…

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Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

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Q: Determine from the graph whether the function has any absolute extreme values on [a, b]. JA.. T a…

A: To determine from the graph whether the function has any absolute extreme values on a, b.

Q: (a) If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 9, find a function f such that fo g = h. (Think about…

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Q: Given the graph of f(x) and the labeled areas, 10 find f(x)dx 10 [ 0 f(x) dx = A=12 B=5 10 C-6 15

A: Value of integration gives the area of the curve bounded in the given limit. Above x-axis, its value…

Q: +5 ο 2 -2. 7=1 4" n (2n)! 4/(1+1), (6(+1) ( 2 (n+1))! 4/20 (zn)! 2ntit. 1:m 1700 hod 2ntl linn (1)…

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Q: Select all that apply about an integral. Represents the area between the function, the x-axis, x=a…

A: Option first and second are correct about integral ... Option 3rd and 4th are not correct about…

Q: 4. Use the Fundamental Theorem of Line Integrals to calculate f Vf T ds, where C is an oriented…

A: We have to calculate the line integral.

Q: For the demand function q=D(x)=700/x​, find the following. ​a) The elasticity ​b) The elasticity…

A: Given, The demand function q=D(x)=700/x​,

Q: Use sigma notation to write the Taylor series about x = xo for the function. cos(-5x), xo = -0.…

A: The function is given as , fx=cos-5x and x0=-π10 Write the Taylor series about x=x0.

Q: 8. Determine lim 3/4x+8. Show your work.

A: Solution is done in step 2

Q: Suppose the radius of a bicycle wheel is 13 in. (measured to the outside of the tire). Find the…

A: Given query is to find the radian turned

Q: 5. Use double integrals to find the volume under the cone z = √√x² + y2 and above the region bounded…

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Q: A rectangular swimming pool 40 ft long, 30 ft wide, and 12 ft deep is filled with water to a depth…

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Q: A circle is​ growing, its radius increasing by 2 mm per second. Find the rate at which the area is…

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Q: K Find the area between f(x)=x²-7 and the x-axis from x = 0 and x = 10.

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Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (84 −…

A: Given The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by   q =…

Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) =…

A: We have to slove above questions

Q: 4. Use the method of substitution to find evaluate the following indefinite integrals: sin(x) cos³…

A: We need to solve integrals.

Q: Determine whether the series converges or diverges. 8 n=1 converges Odiverges 1 + sin(n) en

A: We need to determine convergence.

Q: A 7ft ladder leans against the side of a house. How far is the bottom of the ladder form the side of…

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Q: 1. Y = 2x³ +3 (x4 - 3) ³

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Q: 3. Solve the IVP X 7 = (-43) ², x(0) 2 - (-²3) -5 =

A: Solve the following

Q: Determine whether the series converges or diverges. Σ(1+1) (¹ ²0 n = converges diverges e-n

A: We can check whether the given series is convergent and divergent .

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: Given, y=x2-9x-5

Q: a B с What is the value of cos(a)? b Description of image (in case it has trouble loading): A right…

A: To find the given trigonometric ratio.

Q: Find the area between the curve f(x) = x² +14 and the x-axis from x = 3 to x = 6. The area is 1,…

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Q: a B What is the value of sin(a)? с b Description of image (in case it has trouble loading): A right…

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Q: Let f(x): = Compute f(x) f'(x) = f"(x) = = 4 + 6x x

A: given function is  f(x)=4+6xx=4x+6 then computing following :----   f'(x)=ddx4x+6=-4x2…

Q: 21. What's the standard form equation of a parabola with directrix x= -10 and focus (10, 0)?

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Q: sin(2x) = - 1/2 for 0 ≤ x ≤ 2pi

A: Given query is to find the solution for the x.

Q: a Ab B Area A = 1,348 Area B = 2,385 a Area C = 3,052 Area D 1,622 C C/ D d X f(x) dx = (Simplify…

A: Let's find given integral value from graph.

Q: When p = -3, n = 1 and q =2   Find:    2p2 - 3q..              -3np – pq

A: When p = -3, n = 1 and q =2   Find the value of (2p^2 - 3q) and (-3np-pq)

Q: 1. Sketch the graph of each function, labeling any intercepts with their coordinates and any…

A: Since you have asked multiple questions in a single request we would be answering only the first…