Use integration by parts to evaluate the integral: sin(9t) est dt 145e8t (-8 sin(9t) - 9 cos(9t)) + C X

Q: Suppose that for a company manufacturing calculators, the cost and revenue equations (in dollars)…

A: Answer :: Rate of change in Cost :: 24,000 Rate of change in Revenue :: 3,18,400 Rate of change in…

Q: 5. Solve the differential equations below by using Laplace transformations. (a) +2y(t) = 3e¯¹, y(0)…

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Q: 6. Solve the logarithmic equation. Show your work. log₂ (x-3) + log₂x - log₂ (x+2) = 2

A: Note :- According to our guidelines I answer the first question. Kindly repost the other one…

Q: Find all max and mins on the given intervals using the first derivative test. Make sure to show all…

A: Given:To find:minima and maxima.

Q: The function f(x) = 2x + 3x^-1 local minimum and local maximum

A: The objective of the question is to determine whether the function f(x) = 2x + 3/x has a local…

Q: Plot the point where 0 = - -π

A: 1) The point where θ = -π is shown below 2) The points where sin θ is located is shown…

Q: Please aolve

A: The given limit does not exist.Explanation:

Q: The function graphed above is: Concave up on the interval(s) Concave down on the interval(s) There…

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Q: Find the centroid of the region lying underneath the graph of the function f(x)=√ over the interval…

A: f(x) =

Q: Let f (x) = x3 − 9x.Find all numbers c in the interval (-5, 0) for which the line tangent to the…

A: The objective of this question is to find all the numbers 'c' in the interval (-5, 0) for which the…

Q: Please solve this vector calculus surface integral problem by showing all the steps. Thanks!

A: Answer is 128π×z/5 Explanation:Step 1:To compute the surface integral ∫∫_S (x^2z + y^2z) dS over the…

Q: Speeds of a Michaelis-Menten enzyme reaction v (in micromolar/minute) as a function of the substrate…

A: Hence solved.Explanation:a) For Straight line transformation = ([s]1​,v1​) b) Given : y= 0.500981 .…

Q: Let f(t) = 8t2/3 + 5/3 (a) Find all partition numbers of f'(t). (Enter your answers as a…

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Q: f(x) = 2 tan x Ꮖ

A: f(x)=2tan⁡xx

Q: Find a formula for the exponential function passing through the points f(x) = -3, 5 8 and (1,10)

A: Find the formula for the exponential function passing through the points.

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: y = f(x) N The figure above shows the graph of the twice-differentiable function f and the line…

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Q: Problem #7: (a) Find a particular solution of y" + 16y +63y = 8x (b) Find a particular solution of…

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Q: Graph the set of points of continuity for the following function: f(x, y) = ln(-5x - 6y) 10 9 8 7 6…

A: The given function is

Q: 3 (d) / √9 – x³²dx 0

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Q: 3 The integral 4 lnx dx can be written as the following limit of Riemann Sums on the interval from a…

A: The objective of the question is to verify if the integral of 4ln(x) dx can be expressed as the…

Q: 13. The limit will never exist at a discontinuity. 14. The average rate of change is the slope of…

A: The given statements,13. The limit will never exist at a discontinuity.14. The average rate of…

Q: X x+18

A: f(x)=xx+18

Q: □ 28 -28 -8 8 | f(x) dx = 18. -2 8 3 5. Find [ f(2) ke 11 [ f(x) 6 f(x)dæ if dx = 10 and = -2

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Q: let f(x) = (x-3)^-2. find all values of c in (1, 7) such that f(7)-f(1) = f1(c)(7-1)

A: There is no number c in (1,7) such that  f(7) - f(1) = f'(c) (7 - 1)    If you face any problem in…

Q: Suppose f(0) = -6 and f'(x) ≤8 for all values of x. How large can f(-3) possibly be? Use the…

A: Given that  and By Mean value TheoremFunction continuous over the interval Function differentiable…

Q: 0≤θ≤​? . Find the value of θ in radians. cos(θ)=1 Write your answer in simplified,…

A: Givenand

Q: Find the point, P, at which the line intersects the plane. x=8-10t, y=4+9t, z = -4 -3t; 10x +9y+…

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Q: In this problem, we'll evaluate (b) Now evaluate X X J (a) Use the trigonometric substitution x = -…

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Q: Please answer the attached question and show all work. Thank you.

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Q: Find all the values of x such that the given series would converge. (-1)" (x")(n+10) (10) " n=1 The…

A: The objective of the question is to find the interval of convergence for the given series and…

Q: Speeds of a Michaelis-Menten enzyme reaction concentration S (in micromolar) are shown in the table…

A: Hence solved.Explanation:a) Usually, we utilize the Lineweaver-Burk double reciprocal plot to…

Q: Evaluate the limit along the stated paths, or type "DNE" if the limit Does Not Exist: xy + y ³ lim…

A: The given limit .The objective is to find the limit along the paths  and .

Q: Suppose that a density function is given by the formula 1 38 { 2 15 Find the probability that is…

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Q: 7 sin x Let f(x) 6 sin x2 cos x Then f'(x) = The equation of the tangent line to y = f(x) at a = 0…

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Q: CALCULATOR REQUIRED x g(x) 0 2 1 -3 2 5 3 4 Selected values of the twice-differentiable function g…

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Q: If log₂ (5x + 5) = 2, then x = You may enter the exact value or round to 4 decimal places.

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Q: Please solve

A: (A)  limx→2−​f(x)=0.  (B)  limx→2+​f(x)=2.Explanation:(A) As x approaches 2 from the left side, the…

Q: Find an equation for the hyperbola whose graph has vertices (0, ±6) and asymptotes y = ± 1 x. The…

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Q: (4.) Let v(t) = (2+1, sin(3t), e¹) give the velocity at time t for a particle that is initially at…

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Q: Write out the form of the partial fraction decomposition of the function. Do not determine the…

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Q: Find the acute angle between the planes to the nearest thousandth of a radian. 15) 7x - 5y - 7z = 1…

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Q: Find the unit vector of maximum increase for the function f(x,y,z) = x2+3y2+2z2 at the point (1,1,2)

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Q: find dy/dx for: 1. y=(3x^2+3x-1)^4

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

Q: in terms of arclength. r (t (s)) = i+ j+ r(t) = (−1+3t)i + (3 + lt) j + (−5+ 11) k k

A: The given parametric equation

Q: Please solve

A: Therefore, the required answers are A) C=65x+1619B) The graph is given below.C)Here slope(m=65)The…

Q: 3. Graph the piecewise function. Then use the graph to determine the functions range. Label each…

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Q: 13. The limit will never exist at a discontinuity. 14. The average rate of change is the slope of…

A: “Since you have posted multiple questions, we will provide the solution only to the first five…

Q: Find a function f such that Vf = 2e²x cos(5y)i - 5e²x sin(5y)j + z³k. f(x, y, z) =

A: Given :-  = 2e2x.cos(5y)i - 5e2xsin(5y) j + z5kNow,

Q: A price p (in dollars) and demand x (in items) for a product are related by 2x2 - 4xp+70p² = 29,000.…

A: A price p (in dollars) and demand x (in items) for a product are related by       2x2 - 4xp + 70p2 =…