Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is u· (v x w)| to determine the volume of the tetrahedron with vertices P(-5,3, 0), Q(2,1, –3), R(1,0,1) and S(3, –2, 3). NOTE: Enter the exact answer. V =

Q: The limit of a constant function is always zero. * TRUE FALSE

A: topic - limits

Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: Find the integral of sin^8 xdx from x = π/2 to x = 2π  a. 0.814 b. 1.289 c. 0.240 d. 0.365

A: We have to find  the integral of sin8 xdx from x = π/2 to x = 2π 

Q: 6. y = 2 log, (e")

A: Solution ) y = 2 loga(ex) Suppose ex = m Chain rule of differentiation  dy/dx = (dy / dm)×(dm/dx) [ ...

Q: Use Root Test to determine whether the series E(-1)"en² sin²n (2) n=1 absolutely converges, conditio...

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Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is Round your answers to fo...

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Q: (a) Oppositely directed to v = (9, – 18) and half the length of v. w =|(?,?) (b) Length 5 and same d...

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Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: 2. Consider the graph of the function h given below.

A: Given graph  shown is parabola  Opening down side   

Q: d^2y/dx^2 for y=2x^3- 5/x^2

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Q: Find dy/dx for thw following function

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Q: Current Attempt in Progress Verify that the hypotheses of the Mean-Value Theorem are satisfied for f...

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Q: Problem 2. A manufacturing company developed a mathematical model to predict its expenses as a funct...

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Q: 8. 4dx + (x- y + 2)'dy = 0 (2--2

A: Note: According to our expert guidelines only one individual question is to be answered kindly repos...

Q: Find the vectoy with the given magnitude and the same direction as u Magnitude Direction ||v|| = 4 u...

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Q: Use the compound interest formula to compute the balance in the following account after the stated p...

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Q: 5. (2y- 3x)dx + xdy = 0

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Q: In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal...

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Q: Set up an integral representing the area A of the region enclosed by the given curves. x = y*, x = 2...

A: Explained below 

Q: (2y? + 2y + 4x²)dx +(2xy +x)dy = 0; when x =- 1 and y = 0 %3D

A: Let's find. 

Q: f(x) : x?

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Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x = ...

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Q: 6.1 f*, V16 – x² dx 4

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Q: 2n + 1 n -1 n tan n=1

A: Find the limit of the given equation at infinity.

Q: 15.

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Q: Find the vector component of v = (4, – 1,7) along b = (3, 6, –6) and the vector component of v ortho...

A: We can solve the given problem as follows:

Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

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Q: Locate the critical points and identify which critical points are stationary points. f(x) = 5x – 160...

A: Given thatfx=5x4-160x2+8Solution : find first derivative and equate equal to zero.fx=5x4-160x2+8f'x=...

Q: 1 de, where a, b, and d are real and a² + b² < d² a cos e + bsin 0+d

A: The given integral is: ∫02π1acosθ+bsinθ+ddθ Also given that: a2+b2&lt;d2.

Q: Compute the total cost per year of the following pair of expenses. Then complete the​ sentence: On a...

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Q: Determine whether the following series is convergent or divergent: (4n)2n evnn2n n=1

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Q: n. 2n + 1 Σ n tan -1 n n=1

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Q: (2y – 3x)dx +xdy = 0

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Q: What are thr genereal solutions of the following? a) y^2 dx + (x^2 + 3xy + 4y^2)dy=0

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Q: sin³xdx ? 1- cosx Which Jof the following is one of the correct steps to evaluate A) None B sinydy +...

A: Just I have simplified the given integrand function and find that option (B) is correct.

Q: [2x² + 1 х— Зх-? if х>-5 if x < -5 Find the lim f(x) where f(x) = x--6 None of these does not exist ...

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Q: (2у — Зx)dx + xdy 3D 0

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Q: -1) п — 1 n n n=2

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Q: S tan-1(bx) dx

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Q: Find the differential dy of the given function. y = arctan(x - 2) dy dx

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Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the v...

A: Volume of the parallelepiped is 238 cubic units. 

Q: given 2=y+h (x= yz) and h Ct) is continwas そ X. aメ what Is

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Q: (За — 1)" 5n Vn + 1 n=1

A: Given problem:-

Q: O Find Hhe lme qr=sin'o when the elpe 3.)

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Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS

A: Given query is to find RMS.

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

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Q: 2. Determine if the series n (-1)³n n4 +1 n=1 absolutely converges, conditionally converges, or dive...

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Q: Given the function notation f (x) = x2 – x – 4. Find the value of x when f (x) = 8

A: Given the function notation f (x) = x2 – x – 4. Find the value of x when f (x) = 8

Q: Hew-2 Find the directionat derivative of the funCtion X+XCos7-y Sinz +yat the faint Pe (2,=ly0 towar...

A: Answer is following-