Simplify the ratio of factorials. (n + 1)! (n − 1)! X

Q: Find the absolute extreme values for a(z) = 6 - 476 on [1,2].

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Q: A ball is thrown upward. Its height hin feet is given by h(t) = 104t - 16t², where t is the time…

A: Given height:- ht=104t-16t2

Q: Find the sum of the convergent series. 00 Σ η = 1 8 gn2 + 3n - 2

A: According to question,Given Series,∑n=1∞ 89n2+3n-2

Q: 2. a) Estimate the instantaneous rate of change of the function at the tangent point (7,9) indicated…

A: Given,

Q: Problem #2: Evaluate the following integral, £xx² ds where C' is given by y = x¹0 for 0 < x < 1.…

A: Given integral is ∫Cyx7ds, where C is given by y=x10 for 0&lt;x&lt;1

Q: A manufacturer sells video games with the following cost and revenue functions (in dollars), where x…

A: Given:- The cost function in dollars Cx=0.19x2-0.00002x3 The revenue function in dollars Rx= 1.054x2…

Q: Find a plane through the points (-5,-6,2), (2,5,7), (-6,-4,6)

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Q: (0, 0) Corner (0, 0) (7,0) (6,2) (0, 3) (0, 3) 1 (4,4) 40 want to find the maximum and minimum…

A: To solve the following problem

Q: Find an equation of the tangent plane to the surface at the g h(x, y) = In √√x² + y², (6, 8, In 10)

A: Given: h(x,y)=lnx2+y2  at (6,8, ln10) To find: The equation of the plane to the surface

Q: Use the chain rule to find əz əs əz at = II - Z = tan дz əs and дz at u = 9s + 5t, v = 5s - 9t

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Q: Find the derivative of y = x² cot-¹(3x).

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Q: If y = 1 when x = 0, solve the differential equation 2x + cos(x) 6y² dy dx =

A: First separate the variables x and y then integrate both sides to solve this differential equation.

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 13 + sin(6πt),…

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Q: Determine the amplitude and period of the function s(t) = 0.4cos(t + pi ) + 9 without graphing the…

A: Determine the amplitude and period of the function s(t) = 0.4cos(t + pi ) + 9 without graphing the…

Q: Find the volume of the solid obtained by rotating the region bounded by the curves: y = 2x, y = 4√;…

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Q: Solve the differential equation. sin x- = 5-y cos x dy dx y=0

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Q: Newton's Law of Cooling The temperature of a cup of coffee t min after it is poured is given by the…

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Q: Find the triple integral of the function f(x,y,z) = x2cos(y+z) over the cube 3<x<4,0<y<pi,0<z<pi.

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Q: For the vector-valued function r(t) = t³i + (2t² + 1)j + (3t − 6)k find the following and express…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Find the angle of inclination of the tangent plane to the surface at the given point. x² + y2 0 = =…

A: Given query is to find indicated angle.

Q: Solve the given differential equation. 7ydx - 7xdy+x+dx=3dx The solution is 0. (Type an equation.)

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Q: Volume = --1 1,0

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Q: dw Use the Chain Rule to find &#: w = xysinz; Dx = xet, yet, zzaresin 2

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Q: Simplify the ratio of factorials. (9n + 1)! (9n + 3)!

A: Given: (9n+1)!(9n+3)!

Q: Find the derivative of the function f at any real number c. Use the form f'(c) = lim X→C f(x) = 3 -…

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Q: Use l'Hôpital's Rule to find the following limit. 5x² lim x→0 In (sec x) 5x² lim x→0 In (sec x) 11…

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Q: 4. Find the solution to the initial value problem y'= 5(2-y), y(0)=5. Report solutions in y equals…

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Q: 14. Evaluate the limit for the graph: lim f(x). x → 1 4 a. +∞o b. 1 T y4 4 2 20 +2 T 2 4 c. 3 d.…

A: see below the answer and explanation

Q: For the equation, use implicit differentiation to find  dy dx. (x − 3)(y − 3) = 4

A: Given query is to find derivative.

Q: Show that the scalar field = 1/R], which is defined everywhere except at the origin, is a potential…

A: If f is a function then ∇f=fxi+fyj+fzk. f is a potential function of F if ∇f=F

Q: Given that log(5) ≈ 0.6990 and log(2) ≈ 0.6990 and log(2) ≈ 0.3010, find the value of the logarithm.…

A: The given data is: log5≈0.6990log2≈0.3010  Find the value of the logarithm log52

Q: 4. How much work is required to fill a spherical tank with a radius of 1m with water (1000 kg/m³)…

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Q: Find the indicated derivative and simplify. 6x - 3 2 x + 7x y' for y=

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Q: is that a 5 or a 2?

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Q: lim x-1 d x3+5 xa - X-5 * ха x2 + 4x -5

A: According to question,Given limit,limx→1 x3+5x2-x-5x2+4x-5

Q: 3 Integrate f(x, y) = y(x² + y²)³ over the domain x² + y² ≤ 25, with y ≥ 0. Added 55 Pak Young FGS…

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Q: Find the limit. lim (csc (2x) - cot (2x) + cos (4x)) = (Type an exact answer.) X→0*

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Q: Find numbers a and b so that f'(1) exists for ax² + b 1 x² f(x) = if if x 1.

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Q: Compute the following limit: In(x) lim xxx2/2

A: limit

Q: Classify and solve the following ODE. Make sure to submit a clear, complete, and detailed solution.…

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Q: sing the following graph of the function f, aluate the limits (a) through (i). 10 -2 8t 6- -2 -4 y X…

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Q: (a) Find an equation z = x² - y², of the tangent plane to the surface at the given point. (3, 2, 5)

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Q: x+1 ƒ ( ² + ¹) + f(x) = x + 1 X find f(x)

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Q: You go to the doctor and he gives you 17 milligrams of radioactive dye. After 16 minutes, 5.25…

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Q: 3. Determine whether Rolle's Theorem can be applied to Ax) = -x² + 10x on the closed interval…

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Q: 3. Identify the graph of f(x,y)=x²-x+3y² +12y-13, state where it attains its minimum value, and find…

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Q: Find all critical points of the following functions. a. f(x) = -r² + 10x + 43 b. g(x) = ¹/3 c. h(r)…

A: To find the critical points for given function

Q: 2. Find the area of the region between the graphs of ƒ(x) = 3x + 8 and g(x) = x² + 2x + 2 over [0,…

A: Given graph:-