If g(x) = cos(x) then g'(x) = = g'(1) = -sin(x)

Q: Find the derivative of the function. √5-2 √5 +6 f(s) =

A: Given query is to find the derivative of the function.

Q: Find the critical numbers for f(θ)=7θ−2sin(7θ)+19 that give a local MAXIMUM value for f(θ). Please…

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Q: rol A specific radioactive substance follows a continuous exponential decay model. It has a…

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Q: use Integration by Parts to solve the indefinite integral and thus evaluate corresponding definite…

A: To evaluate the given integral using integration by parts

Q: A family has a $99,549,30-year mortgage at 6.9% compounded monthly. the monthly payment. Also find…

A: NOTE: Refresh your page if you can't see any equations. . L=99549 r=6.9%=0.069 n=12 for monthly…

Q: Evaluate the following integrals. 1 √(x + a)(x + b) (a) / dx.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Given: (x is number of items) Demand function: d(x) = = 1600 √T Supply function: s(x) = 4√√x

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Q: Find the derivative of the function. y = log₂ (x² - 7x) y' = X

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Q: ermine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: The graph of f(x) is shown below in red. 2 -1 -10 A 9 P= Let A(z) = f(t) dt. Enter answers separated…

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Q: 3. Find the sum of the series k=0 (−1)k2k 62k+¹(2k)!

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Q: 9 A company's marginal cost function is where x is the number of units. Find the total cost of the…

A: We have to find the Total cost of first 49 units.   According to our guidelines we can solve only…

Q: A. Find the Laplace Transform of the following piece-wise defined functions. 1. 3 2 1 0 0 4

A: laplace

Q: Find the derivative of the function. √5-5 √5 +5 f(s) =

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Q: Find the limit. Use l'Hospital's Rule where appropriate. It may be necessary to apply it more than…

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Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log3(x² -…

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Q: Find the derivative y = ecotx Ody da Ody dx Ody dx dy -ecotx csc²x = cotx csc²x ecotx csc²x cotx

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Q: Let -3 Show all your work. A = Find the unique solution to the system X'= AX satisfying the initial…

A: Please see the below pictures for detailed solution.

Q: Find the exact length of the curve. x = et - 9t, y = 12et/2, 0≤t≤ 4

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Q: For y=2x6−9x3+5x​, find d5y/dx5.

A: Given function:- y=2x6-9x3+5x

Q: Rewrite the integral below as a sum of integrals without absolute values, then evaluate that sum.…

A: Topic = Integration

Q: dy Implicitly da Ody dx dy dx dy da dy da = = 1-2xy x² 1-2xy x 1-2xy x3 = 1 - 2xy x²y = x + 1

A: x2y = x+1  we have to find derivative  dy/dx = ? further calculation is given below

Q: Find the integral of the following function by parts So al cos 0 + b do where a = 6.5, b = 10 in…

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Q: 1 function f(x) = 9x + 4x=¹ has one local minimum one local maximum. function has a local maximum at…

A: Given query is to find local maximum and minimum.

Q: O Determine which limit is of an indeterminate for sin x lim X-→00 X O X-3 lim x+3x²-9 ex lim X→0 X…

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Q: If x² + xy + y³ = 1, find the value of y" at the point where x = 1.

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Q: onsider the equation r=96+2cos⁡θ  (a) Find the eccentricity. (b) Identify the conic. (c) Give an…

A: NOTE: Refresh your page if you can't see any equations. . divide the numerator and denominator by 6

Q: Compute the following limit using L'Hopital's rule if appropriate. lim 6 sin (x) In (x) x+0+ =…

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Q: Evaluate the following limit. Enter an exact numeric answer. To enter ∞o in your answer field, •…

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Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log5 (x + 7) -…

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Q: Use a definite integral to find the area under the curve between the given x-values. - from x = 16…

A: Let's find area under the given curve between x=16 to x=25.

Q: Einsteinium-255 is a radioactive substance that decay at a continuous rate of 1.65% per day suppose…

A: We need to find a formula that represents the amount of einsteinium-255,N as a function of t.

Q: onsider the function f(x) = 2x² - 6x on the interval [ - 3,3]. he average rate of change of f(x) on…

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Q: Find the critical points of f(x) = 2 cos (3x) + 3 cos (2x) in [−3ñ, −ñ]. (Give your answer in the…

A: Given: fx=2cos3x+3cos2x  To find: Critical points of f(x) in -3π,-π Critical points of a function…

Q: 7. Find the value of sin (a - B) if tan a 0° a 90°, and 0° <B<90°. , cot B = 12²

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Q: A company has $8,710 available per month for advertising. Newspaper ads cost $120 each and can't run…

A: We have to maximize the target group exposure.

Q: Why do we make the equation =0 to begin with?

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Q: HWi salve the following D.E. 2 y 3y ty + 5y no

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Q: Let f(x)=(2x^2) +3, calcuate the average of f(x) over the interval from x=0 to x=2

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Q: The half-life of a certain radioactive substance is 30 years. Assume we have 10 grams of the…

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Q: Find the first 5 terms (a quartic polynomial) of the Taylor series for f(x) = 10ª.

A: NOTE: Refresh your page if you can't see any equations. . here we have x=0

Q: Find the radius of convergence of the power series 을 1/(x-3)^ n=0 2

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Q: Answer the following questions for the function f(x) = x√√x² + 1 defined on the interval - 6 ≤ x ≤…

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Q: Use partial fractions to find the power series of the function: M8 n=0 x + 75 (x − 9) (x + 3) -

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Q: J√cot3x csc 3xdx

A: To evaluate the given integral

Q: 1. Use Simpson's method with n = 4 subintervals to estimate 1 1+x4 S dx Round your final answer to…

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Q: Calculate the derivative indicated. Answer: d²y dx² x=6 where = 1/1 +8₂ y =

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Q: Solve the system. State whether the system is inconsistent or has infinitely many solutions. If…

A: To solve the given system of equations

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Two consecutive odd numbers have a sum of 56. What is the square of the larger odd number?

A: Let one the odd numbers be x