Taking into account identical letters, how many ways are there to arrange the word PARVAMONSTRA that both begin and end with consonants?

Q: 5. The elevation of a path is given by ƒ(x)= x³ −5x² +30, measured in feet, where x measures…

A: We have to find the average value of the function f(x)=x3-5x2+30 for 0≤x≤4

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Given curves are x+y2=20 which is a parabola symmetric w.r.t. x axis. And x+y=0 is a straight line.

Q: Find the indefinite integral. (Use C for the constant of integration.) J In(sec (50)|) + C tan 50 de

A: Given integral ∫tan5θdθ = ? As we know that tanθ = sinθcosθ

Q: Find the indefinite integral. (Use C for the constant of integration.) I X-6 (x + 3)² + 36 dx 1/2…

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Q: Find the indefinite integral. (Use C for the constant of integration.) I 45 1 + 25x² dx

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Q: 32 Determine the maximum and minimum values of the function f(x) = 2x+² on the interval -2≤x≤8.

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Q: Differential equations. answer. Please show your work S Second picture is the 8. Solve y''+4 y'+5…

A: y''+4y'+5y=16cos(2t)+2sin(2t) The general solution can be written as: y=yh+yp

Q: Hi, can you please help me complete the table

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Q: The number of bacteria in a refrigerated food product is given by N(T) = 20T2 - 126T+52,6 <T < 36…

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Q: I X 8x² +9 -dx =

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Q: Fan and Ahmod wants to raise cows in a rectangular field with two internal partitions as shown. If…

A: Let length of field=x ft Let width of field=y ft

Q: Make the given substitution to evaluate the indefinite integral. Jocs 6csc (3x)cot (3x)dx, a. u=cot…

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Q: Evaluate (1+¹/2 - 10+3/2) dt using the Fundamental Theorem of Calculus, Part 2. 15 [¹³ (1t1¹/²2 -…

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Q: Determine all real numbers s associated with the following point (x, y) on the unit circle. Write…

A: As we know that x = cos( s )y = sin( s )tan( s ) = sin( s )cos( s )

Q: 3 Find the equation of the vertical asymptote(s) of the function ƒ(x)=**+2 85°F Partly sunny X=0…

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Q: 18 • Σ =1

A: let  G=∑k=118(k2)

Q: Evaluate -323 e −1+3x³ - 2/x6 13x⁹ lim 2-0 Hint: Using power series. Submit Question

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Q: 3. Sylvia invested a total of $40,000. She invested part of the money in a certificate of deposit…

A: Let $x be amount she put in a certificate of deposite that earns  2% simple interest per year Let $y…

Q: Find the exact length of the polar curve Length 2-(4(2n)³+4-2n²) 3 3 4-2n +8-2π r=0², 0≤ 0≤ 2n.

A: r=θ2 , 0≤θ≤2π

Q: 1² 2t 1+1² 1+1² A submarine is traveling such that its position vector s(t)=, where s is in miles…

A: A submarine is traveling such that its position vector st=t21+t2, 2t1+t2, where  s is in miles and t…

Q: Find the area inside r = 4+3 cos 0. 2.5 41m 2 None of the above. 0.5 35m

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Q: Find the area of the following surface using the given explicit description of the surface. The…

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Q: f(x) = In csch 16x

A: We know that the derivative of ln(x)=1/x  And  Derivative of csch(mx)=-m*coth(mx)*csch(mx)

Q: Use Gaussian 3x + 2y + 5z = 1 -y +z = 4 6x +49 + 10z = 7 Elimination to solve the set of equations…

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Q: Water is drained from a swimming pool at a rate given by R(t) = 50e-0.04t gal/hr. If the drain is…

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Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

A: matrix

Q: The demand and supply functions for Penn State women's volleyball jerseys are: P = d(x)=x²-3x + 132…

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Q: Given f(x, y) = sin(x + y) where ™ = st2, y = 4s- 2t. Find fs(r(s, t), y(s, t)) = ft(r(s, t), y(s,…

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Q: Let s(t) = 6t³ +81t² + 360t be the equation of motion for a particle. Find a function for the…

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Q: Find the arc length of the curve below on the given interval. 3 5/3 3 1/3 y=5* 4x +5 on [1,27] -X…

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Q: Rewrite sin55° in terms of the appropriate cofunction.

A: Consider  sin(55°)

Q: The cost, in dollars, to produce a designer dog leashes is C(x) = 4x + 7, and the price-demand…

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Q: ​D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay

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Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x)=x² + x³…

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Q: Represent the function 9 In(9-x) as a power series (Maclaurin series) f(x) = Σcnx" n=0 Co = C1 C2 C4…

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Q: The cost of producing a units of stuffed alligator toys is C(x) = 0.001x² + 7x + 7000. (c) Find the…

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Q: 2. Evaluate the integral. [x³√√x² +1dx

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Q: 21. S' √.V² 0 X (x + 2y) dy dx

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Q: The unit cost, in dollars, to produce bins of cat food is $19 and the fixed cost is $9450. The…

A: Unit cost = $ 19 fixed cost = $ 9450 Price demand function p(x) = 423x - 2x

Q: Use a graph to estimate the coordinates of the lowest point and the leftmost point on the curve x =…

A: x=t4-5t y=t+3t4 We have to find lowest point and leftmost point

Q: Suppose f(4) = -1 and f'(4) = -10. An object moves along the curve y³ - 2x² f(x) - 2x = 51. For a…

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Q: Find the final amount in the following retirement account, in which the rate of return on the…

A: For the First four years The amount is $408 per month at r=6% For the Second 4 years The amount is…

Q: is the set of all real number except f(x) = x +4 x + 2 and its range is the set of all numbers…

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Q: 1 2 +++ 3 2 1 To find the blue shaded area above, we would calculate: [ f(x)dx = area Where: 1 2 3 a…

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Q: A solid occupies the space above the region in the plane described by inequalities: 3 ≤ x² + y² ≤…

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Q: 8. Section 7.6 a. Use the differential df to estimate the change in f(x,y) when x changes from 1 to…

A: We have given a function f(x,y) = x2y + 2xy3

Q: c) h(x) = 3x²sin (2x) e) h(x) = 11sin³ (3x - 1) d) g(x) = 3 sin x 4cosx f) f(x) = cos(cos³x)

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Q: Find the indefinite integral. (Use C for the constant of integration.) To x-6 (x + 3)² + 36 dx

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Q: Find the derivate of the function: (using the Power hule of functions on a and b) a) F(x) = (x² - 6…

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Q: Find the first three non-zero terms of the Maclaurin Series expansion for the function, f(=)…

A: For ln(1 - 6x), we have: f(x) = ln(1 - 6x) f'(x) = -6/(1 - 6x) f''(x) = 36/(1 - 6x)^2 f'''(x) =…