What is the measure of the apothem of the hexagonal base? (c) What is the area of the hexagonal base? (d) What is the volume of the pyramid?

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A: The given functions,fu=u8+ug(x)=cos(x)

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A: Solution: ∯∂∂x6xy -∂∂y3xydxdy   (By green's theorem)

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x²-20x а. 1+x? b. y=- 1-x?

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Q: (4x - lim (4x – V16x2 + 3x – 5

A: Topic:- limit calculation

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Q: dx 2.

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Q: Describe the graph of the equation. r = 15 sin 5t i + 15 cos 51 j O Itis a circle of radius 15 in…

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A: Given query is to find the expression for rocket weight and time.

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A: Given query is to find the limit of the expression.

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Q: 27. | (u + 2)(u - 3) du 2+x 29.

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Q: Hello, complete the attached Calculus question correctly and show all your work. Please use the…

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Q: x-4 \x – 4 Evaluate the limit. 1 11 lim x - 4 x2 + 3x – 28 X-4 Give your answer in exact form. If…

A: Given problem:-

Q: 20. Evaluate dædy by changing the limits of integration appropriately. e y/2

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Q: 5² - 13 ニ

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Q: A _1. (2x – 3) dx A. -2 _2. L(x3 + 2x) dx В. 0 _3. (x² – 2) dx 1 С. 3 4. S(x3 + 3x – 1) dx 2 D. 2 |…

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Q: Find the area inside the circle r = = cos 0, but outside the circle r = 1/2. Sketch the graphs first

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Q: Evaluate r(g(t)) using the Chain Rule: r(t) = (e', e*, -6), g(t) = 5t + 6 %3| 을r(g(t)) = 《

A: Use chain rule

Q: Use Ore's theorem to prove that any n-vertex graph G for which |E(G)|> (",') +2 is Hamiltonian.

A: answer is in next step

Q: Pu 6 • (2, 5) (4, –3) Graph of f 3. The graph of ƒ is shown above for 0 < x < 4, What is (A) –1 (B)…

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Q: Consider the function f(x): - 4x + 6x - 8. f(x) has a critical point at x A. Find the value of A: A…

A: For critical points ofa function we first find the derivative of the function and equate it to zero.

Q: Describe the graph of the equation. r = 7 cos t i – 17 sin t j +k O An ellipse in the plane z = 1,…

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Q: Calculate y" (x) and y" (x). бх — 6 y(x) (Use symbolic notation and fractions where needed.) y"(x) =…

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Q: Use a computer algebra system to approximate the iterated integral. (Round your answer to three…

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Q: AX = B is a matrixial representation of a lineal system of equations. Over the augmented matrix (…

A: Here we have to choose the correct option.

Q: Q Find the deriva tive using the de fini tion (x)

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Q: (2xy+x^2+x^4)dx - (1+x^2)dy=0 the answer should be

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Q: ах 2xy 2.xy +3y x +2xy dy dx

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Q: A. Sketch the figure for analysis. Shade the needed region and draw a representative vertical or…

A: Here, the region is bounded by the curves: x=4, y2=x

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 3…

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Q: Find div F and curl F if F(x, y, z) = 6e#Y i – 7 cos yj+ 9 sin² z k. div F= curl F=

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Q: 22. The power series £4, (x – 3)" converges at x = 5. Which of the following must be true? n=0 (A)…

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Q: im Y cosx tZx 7x¢ with squeze thearem

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Q: In(1+x) -x cosx -1 1. lim x-+0 7- In(2x + 3) 3. lim x-00 In(5x -2)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Approximate the point of intersection of the graphs of f and g. Then solve the equation f(x)=g(x)…

A: given function : f(x)=log3x and g(x)=2from figure it is clear that intersection of both curve is…

Q: Find the interval of convergence for the Maclaurin series expansion for f(x) = e".

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Q: Find the (2x + 1)³ dx A. (2x + 1)2 +c (2x + 1)3 + c 8 С. (2x + 1)4 + c D. (2x + 1)* + c 4 B.

A: We have to find the indefinite integral of given function

Q: tan(0)² cos(0) d0

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Q: i(x) = 2-0.8(x-43.79)

A: Given query is to find the derivative of the expression.

Q: O An ellipse in the plane x axis, minor axis of length 14 parallel to the y-axis. = 1, center at (1,…

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. 2(3*)…

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Q: Let f(x) = 9x* + xx² + e2*. Compute f©(x). (Use symbolic notation and fractions where needed.) f9(x)…

A: Compute 5th derivative of f(x)

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. e2x –…

A: Solve the exponential equation algebraically.

Q: Solve the equation for x and y x+v=300 5x+8y=2100

A: Given query is to find the solution of the system of equations