Evaluate the triple integral J solid tetrahedon with vertices (0, 0, 0), (1, 0, 0), (0, 5, 0), (0, 0, 8). E xydV where E is the

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A: I am attaching image so that you understand each and every step.

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Q: n=1 9 (3n − 1) (3n+2)

A: To find: ∑n=1∞93n-13n+2 ∑n=1∞9(3n-1)3n+2=∑n=1∞ 33n-1- 33n+2

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A: Given query is is to find the sum of the series and creat a similar series.

Q: x² (x² + 1)² 21. y = [(3x² + 2x + 2)(x- 19. y=

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

Q: 4. For each function that is one-to-one. a) Find the inverse of the function, b) Graph fand f-¹ on…

A: (4). (a).The given function is:f(x)=2x+6x-3 ;       x≠3

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Q: •√√√π/2 Y π/2 X r² cos(xy) drdy

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Q: Suppose that and y are related by the equation x² - y² = 2. Where y is a function of x. Use implicit…

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Q: For the given function f (x,y) = ln (x³ + xy²), find f (1,1)

A: for fx  means derivative of f(x,y) with respect to x treat y as constant     ∂xn∂x=nxn-1…

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Q: Let f(x) = ln (x² - 4x + 5) Find the interval where f(x) is concave up and decreasing…

A: Explanation of the answer is as follows

Q: 0.1852 n = 1 X ≤S≤ 0.1852 X

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Q: Verify that g satisfies the hypotheses of the Mean Value Theorem on the interval [0, 8]. Estimate…

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Q: 4) Let g be the piecewise-linear function defined on [-2π, 4л] whose graph is given to the right,…

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Q: QUESTION 9 Find f (0,1,2,3) for the function f (x,y,z,w) = 42- zw 2 ZW - y +x³yw. - y 3

A: Given, f(x,y,z,w)=42zw2y+x3yw-z3y3

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A: Given query is to find indicated derivative.

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Q: Let f(x) = X a) Compute ƒ'(x) using the definition of the derivative: f '(x) = lim S (x + h)− ƒ (x)…

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Q: A function is given. f(t) = 4t²; t = 2, t=2+h (a) Determine the net change between the given values…

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Q: Use partial fractions to find the power series of the 7x + 79 function: (x − 8) (x + 7) n=0

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Q: 8: Find the relative extrema of the function f(x) = e(2³-3²).

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A: Given query is to find the Indicated derivative.

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Q: In each of the following problems, use both the method of variation of parame- ters and the method…

A: (a). The given differential equation is:y''-5y'+6y=2et

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Q: Use spherical coordinates to find the volume of the region outside the cone q = π/4 and inside the…

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Q: B. Solve the problems related to the application of First Order Differential Equations. 5. Mixture…

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Q: Show your work Determine whether the series is convergent or divergent. Σκο-κ k=1

A: The given series is: ∑k=1∞ke-2k2 Determine whether the series is convergent or divergent.

Q: Question 4: a) Find the point P on the curve y = √ that satisfies 2 cos(2x) = 1 for 0 ≤ x ≤ b) Find…

A: a To find the point P on the curve y=xex that satisfies 2 cos2x=1 for 0≤x≤π4.b To find dydx of…

Q: 2) The hour hand and minute hands on a clock are 4 inches and 6 inches long respectively. At four o…

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Q: A certain breed of mouse was introduced onto a small island with an initial population of 320 mice,…

A: A certain breed of mouse was introduced onto a small island with an initial population of 320 mice,…

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A: Angle from the ground= 60° Initial speed = 42 feet/sec  Initial height = 6.5 feet

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Q: Use implicit 1) x² + y2 = 9 differentiation to find dy/dx and d²y/dx².

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Q: -5 -4 -3 -2 f(x) = 8 7 65 4 32 + -1 -2 -3 + -5 -6 -7 -8 1 for the graph sketched below: 2 O 3 4 5

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Q: Given the function h(x) = x-2x- x²-9 Determine the following: A. Vertical Asymptote(s): [Select ] B.…

A: Given the function hx=x2-2x-3x2-9, to determine the following: A Vertical Asymptotes,B Horizontal…

Q: Complete the general form equation of the parabola that passes through (2,35) with vertex at (−2,3).

A: Solution: General formula of parabola is  y=a(x-h)2+k2